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What is the shortest Ph.D. thesis? [closed]
The question is selfexplanatory, but I want to make some remarks in order to prevent the responses from going off into undesirable directions.
It seems that every few years I hear someone ask this question; it seems to hold a perennial fascination for research mathematicians, just as quests for short proofs do. The trouble is that it has strong urbanlegend tendencies: someone will say, "Soandso's thesis was only $\epsilon$ pages long!" where $\epsilon \ll 1$ . It will often be very difficult to confirm or disconfirm such claims, since Ph.D. theses are often not even published, let alone readily available online. If you Google around for a while, as I did, you will find many dubious leads and can easily waste a lot of time on wild goose chases. Frankly, I'm a bit fed up with this state of affairs. I am therefore asking this question on MO in the hope that doing so will put this old question to rest, or at least establish provable upper bounds.
I would therefore request that you set yourself a high standard before replying. Don't post a candidate unless you're sure your facts are correct, and please give some indication why you're so sure. Read the meta discussion before posting. (Note that the meta discussion illustrates that even a MathSciNet citation isn't always totally definitive.) Include information about the content and circumstances of the thesis if you know it, but resist the temptation to gossip or speculate.
I'm not making this question community wiki or biglist because it should ideally have a definite answer, though I grant that it's possible that there are some borderline cases out there (perhaps there are theses that were not written in scholarly good faith, or documents that some people would regard as equivalent to a Ph.D. thesis but that others would not, or theses in subjects that are strictly speaking distinct from mathematics but that are arguably indistinguishable from mathematics dissertations).
Finally, to anticipate a possible followup question, there is a list of short published papers here (search for "Nelson"). Note that the question of the shortest published paper is not as urbanlegendy because the facts are easier to verify. I looked up the short papers listed there myself and found them to be quite interesting. So in addition to trying to settle an urban legend, I am hoping that this question will bring to light some interesting and lesser known mathematics.
 ho.historyoverview
 9 $\begingroup$ I think it really should be CW. It makes no sense to me that the shorter the proposed candidate, the more reputation the proposer will get. It will also lower the temptation for people to post gossipy stuff. $\endgroup$ – Alex B. Commented Feb 8, 2011 at 15:31
 3 $\begingroup$ The only reasonable interpretation of the question is extremely short theses in general, because there is more than one measure of the length of a thesis. Moreover in some cases it's debatable whether a particular document really is a thesis or the full thesis. It realy should be CW. $\endgroup$ – Greg Kuperberg Commented Feb 8, 2011 at 15:40
 3 $\begingroup$ How would you like to count? Do all the cover pages, table of contents, abstract, etc. count? How about references? Or do you begin with the introduction and only include the content? $\endgroup$ – Noah Stein Commented Feb 8, 2011 at 16:33
 5 $\begingroup$ 1. This question is terrible. I'm sure I could reformat my thesis in a silly font size to make it have a ludicrously small number of pages. $\endgroup$ – Peter McNamara Commented Feb 8, 2011 at 19:50
 8 $\begingroup$ @Peter McNamara: you probably could, but I'm pretty certain that this is not the issue being discussed here. Anyway, most universities have specific formatting standards and would not let you submit it in this form. $\endgroup$ – Thierry Zell Commented Feb 8, 2011 at 20:05
9 Answers 9
David Rector's thesis ("An Unstable Adams Spectral Sequence", MIT 1966) is 9 pages, according to the record at the MIT library . I haven't seen the actual thesis for many years, but I'm pretty the actual mathematical content takes about 3 pages total, and is largely identical to the published version in Topology (1966, same title, doi link: https://doi.org/10.1016/00409383(66)900255 ), which is 3 pages plus bibliography. (Dan Kan, his advisor, likes short papers.)
 2 $\begingroup$ Probably not a coincidence. $\endgroup$ – Tyler Lawson Commented Feb 8, 2011 at 20:25
 3 $\begingroup$ Accepted provisionally. Enough people seem instinctively annoyed at this question that it seems likely to be closed soon (despite the fact that I'm asking it on MO in order to prevent its proliferation elsewhere). It doesn't seem likely that a stronger candidate will emerge before then. Ideally I'd like to examine the thesis myself before accepting the answer but I don't feel like purchasing it and it may be a while before my next trip to Boston. $\endgroup$ – Timothy Chow Commented Feb 9, 2011 at 15:56
 4 $\begingroup$ Aside from the library copy, there should be a slightly more accessible copy in the MIT Math reading room. (They used to keep copies of theses there, and I assume they still do.) Maybe somebody reading this could wander down the hall and take a look. :) $\endgroup$ – Charles Rezk Commented Feb 9, 2011 at 18:55
 31 $\begingroup$ I'm in the reading room now. Rector's thesis comprises a title page, an abstract page, a table of contents page, 7 pages of math, a bibliography page (8 refs.), and a biographical note page. The MIT library record's "9 leaves" exclude the title/abstract/contents, which are not numbered. Except for some trivial changes in wording in the intro, the mathematical part is indeed identical to the 4page Topology paper, vol. 5 (1966), 343346. The thesis occupies more space since it's manually typed; not including section titles, the 4 sections are respectively 18, 23, 42, and 36 typewritten lines. $\endgroup$ – Timothy Chow Commented Aug 19, 2011 at 18:44
 $\begingroup$ 119 typewritten lines! $\endgroup$ – David Roberts ♦ Commented Oct 14, 2022 at 10:53
John Nash's thesis was 26 pages, and had two references in the bibliography.
Edmund Landau's thesis was 13 pages long.
 $\begingroup$ There is an English translation here: arxiv.org/PS_cache/arxiv/pdf/0803/0803.3787v2.pdf That document is 17 pages (including title page, etc.). $\endgroup$ – Zach N Commented Feb 8, 2011 at 18:06
 2 $\begingroup$ For a link to a scanned version of Landau's thesis see here gdz.sub.unigoettingen.de/dms/load/img/?PPN=PPN317979566 The document has 18 pages, of which 2 are completely empty, indeed the catalogue of the libraries of Berlin gives 16 pages as lengths. (the French national library catalogue gives 18). Moreover, one page is a title page, one is a dedication, and one is a vita. So, depending on what one actually counts, 18, 16, or 13. According to library catalogues 16 or 18. $\endgroup$ – user9072 Commented Feb 8, 2011 at 18:15
I believe the shortest PhD thesis is of Burt Totaro "Milnor Ktheory is the simplest part of algebraic Ktheory", 12 pages.
Milnor Ktheory is the simplest part of algebraic Ktheory, Ph.D. thesis, University of California, Berkeley, 1989; published as: KTheory 6 (1992), 177189 ( Portico archived version ).
Burt Totaro's webpage at Cambridge , including a pdf of the published version .
 1 $\begingroup$ its complete thesis. I gave two references here, Milnor Ktheory is the simplest part of algebraic Ktheory, Ph.D. thesis, University of California, Berkeley, 1989 and KTheory 6 (1992), 177189 $\endgroup$ – J Verma Commented Feb 8, 2011 at 17:43
 2 $\begingroup$ I noticed, but the reference to the actual thesis does not have a page numbers (and it is somewhat surprising that the number of pages did not change from the thesis to Ktheory's format) :) $\endgroup$ – Mariano SuárezÁlvarez Commented Feb 8, 2011 at 17:45
 15 $\begingroup$ Totaro's 1989 thesis is titled "Ktheory and algebraic cycles" and, according to ProQuest, is 20 pages. If your university library subscribes to ProQuest, you can see a PDF preview of the thesis by searching for "Totaro, Burt" in the Dissertations and Theses database. $\endgroup$ – Zach N Commented Feb 8, 2011 at 18:02
 4 $\begingroup$ You can download it on mathscinet. It has 16 numbered pages, incl. 1 page of bibliography. Definitions start on page 1 though, not much of an introduction. $\endgroup$ – fherzig Commented Feb 9, 2011 at 2:58
 1 $\begingroup$ I downloaded the thesis from ProQuest. It comprises a signature page, a title page, an abstract page, an epigram page, 15 pages of (TeXed) math, and a bibliography page. Short, but not as short as David Rector's thesis. $\endgroup$ – Timothy Chow Commented Aug 19, 2011 at 19:00
This is not really an answer because these PhD's were never actually written, but anyway: in his book A mathematicians miscellany (in the chapter on math with minimum raw material) Littlewood gave 2 examples that could have been 2line PhDs:
(1) Cayley's projective definition of length
(2)Theorem: An integral function never 0 or 1 is a constant. Proof: $\exp(i\Omega(f(z)))$ is a bounded integral function. ($\Omega$ is inverse to the elliptic modular function.)
 3 $\begingroup$ Richard, perhaps you overlooked that Gerry Myerson already gave this example on the meta discussion? $\endgroup$ – Timothy Chow Commented Feb 8, 2011 at 15:53
 19 $\begingroup$ I don't think it is reasonable to expect people to have read all the meta discussion before posting on a regular thread. This is a sort of fluff question, so it doesn't matter much, but in general I think it should be fine to repost answers from meta, so that the main thread has the most complete record of answers to the question. $\endgroup$ – David E Speyer Commented Feb 8, 2011 at 16:52
 7 $\begingroup$ While I agree with David Speyer in general, I also do not think this should have been posted as an answer to this particular question, given the questioner's emphasis on restricting the scope of the question. $\endgroup$ – Charles Staats Commented Feb 8, 2011 at 17:27
 6 $\begingroup$ @David: I too would agree that in general it’s not reasonable to expect people to read meta discussions on questions before answering them. But this question specifically asks us to, and gives good reasons for it. $\endgroup$ – Peter LeFanu Lumsdaine Commented Feb 8, 2011 at 20:18
 $\begingroup$ (2) is a trivial corollary of Picard's little theorem. $\endgroup$ – tst Commented Jun 13, 2017 at 3:06
I already posted this on meta where there was some discussion of whether the page count was correct. My guess is that it is, so I will post it here too:
MR2615548 Martens, Henrik Herman Buvik A NEW PROOF OF TORELLI'S THEOREM. Thesis (Ph.D.)–New York University. 1962. 12 pp.
 8 $\begingroup$ Compared to that, the thesis of his student Kristian Seip was a massive tome, weighing in at 30 pages. $\endgroup$ – Harald HancheOlsen Commented Feb 9, 2011 at 7:56
Kurt Gödel seems to be a good candidate for this "prize".
Let me quote from this review (see Page 74) of Kurt Gödel Collected Works.
The first three works of Godel in this volume are his dissertation of 1929 ( twentyone pages in English ), a revised and substantially abbreviated version (eleven pages in English) published in 1930, and a brief abstract based on a presentation of Godel's results in Konigsberg on 6 September 1930. Of all of Godel's longer, published writings, his dissertation has been, until now, the most difficult to obtain, and is here translated for the first time into English, by Stefan BauerMengelberg and van Heijenoort.
 3 $\begingroup$ The original version of his thesis seems to have 33 pages; see permalink.obvsg.at/AC05181322 (the number next to "Umfangsangabe") $\endgroup$ – user9072 Commented Feb 8, 2011 at 16:59
 2 $\begingroup$ I cannot say anything about the original version (my German skills are null, not almost null). But I have just checked my copy of the Collected Works (unfortunately I have not found any online library to link), and in pages 60101 we can find Godel's dissertation (even pages match German, while odd ones match English). Thus, the description "21 pages in English" is accurate. $\endgroup$ – boumol Commented Feb 8, 2011 at 17:14
 1 $\begingroup$ I did not want to imply your claim was not accurate. Only, as I understand the question, it is about the actual document the person submitted as a thesis. Thus, I supplemented this information, documenting it by the link to the entry of Goedels thesis in the joint library catalogue of Austrian (academic) libraries. It specifies title, author, year, lengths (that's the Umfangsangabe, S. abbreviates 'Seiten' i.e. pages), the type of document (thesis of University of Vienna (Wien)), and finally the specific libraries where it can be found. $\endgroup$ – user9072 Commented Feb 8, 2011 at 17:48
According to mathscinet, Eva Kallin's thesis was 14 pages.
 3 $\begingroup$ This is promising, but as the question mentions and the meta thread shows, MathSciNet alone is not an authoritative reference. More documentation? $\endgroup$ – Peter LeFanu Lumsdaine Commented Feb 8, 2011 at 20:12
Barry Mazur's thesis on the proof of the Schoenflies conjecture (and introducing the method of infinite repetition in topology) is 5 pages long.
 4 $\begingroup$ According to "Mathematical apocrypha redux" by Krantz, Mazur's thesis was 26 pages long. $\endgroup$ – Michael Greinecker Commented Feb 8, 2011 at 16:22
 2 $\begingroup$ Mathscinet says his thesis is 30 pages. $\endgroup$ – Jaikrishnan Commented Feb 8, 2011 at 16:26
 70 $\begingroup$ Well, it may not be the shortest but it surelyt appears to have the most variable number of pages! $\endgroup$ – Mariano SuárezÁlvarez Commented Feb 8, 2011 at 16:42
 17 $\begingroup$ Let's please heed Timothy's call to do one's homework carefully. "Don't post a candidate unless you're sure your facts are correct, and please give some indication why you're so sure. Read the meta discussion before posting." $\endgroup$ – Todd Trimble ♦ Commented Feb 8, 2011 at 16:47
 $\begingroup$ Yikes. I had never looked at the thesis, but just the published version in the Bulletin of the AMS which is 5 pages long. $\endgroup$ – Victor Miller Commented Feb 23, 2011 at 22:12
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The Shortest Papers Ever Published
This blog post is about short papers. It seems out of place writing a long introduction.
If you ever wondered about the shortest papers ever published, or you just want to take the unique opportunity to read several papers in full within one minute, this post is for you.
Math can be short
Math can be hard and tedious resulting in very long papers. The 1995 proof of Fermat’s last Theorem was 108 pages long.
But math can also be short.
Lander and Parkin’s paper about a conjecture by Euler (related to Fermat’s last Theorem), is probably the dream of everyone ever written a paper: It answers an interesting and important question, it’s correct beyond any doubt, it’s easy to understand and only two sentences long.
Is there a way to beat that? John Conway and Alexander Soifer submitted a paper in 2005 with the goal to write the shortest math paper ever.
It is only two words long and contains two distinct proofs of their problem in two figures.
The editors were a bit surprised: “The Monthly publishes exposition of mathematics at many levels, and it contains articles both long and short. Your article, however, is a bit too short to be a good Monthly article. . . A line or two of explanation would really help.”
The authors did not give up and could convince the editors: “I respectfully disagree […] What else is there to explain?” Read the full story .
Empty pages
Can you write a meaningful paper shorter than 2 words? Probably not. Still, I want to mention the following case report of severe writer’s block, which contribute important zero words to the literature:
Also the following zeroword paper (excluding the abstract) makes an important point. Originally submitted to Nature Chemistry it did not make the cut for publication. But the editors liked it so much that they covered it in their blog and their production team produced a print PDF for it. It finally appeared in 2016 in the journal “ Chemie in unserer Zeit ” (50(2), 144–145) published by Wiley. It’s a German journal but don’t worry. The empty pages should be easy to read even in German…
Short abstracts
Abstracts should be short by definition. But some are shorter than others. These are the shortest we could find:
Enough already
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John Nash’s Super Short PhD Thesis: 26 Pages & 2 Citations
in Math  July 9th, 2018 2 Comments
When John Nash wrote “Non Cooperative Games,” his Ph.D. dissertation at Princeton in 1950, the text of his thesis ( read it online ) was brief. It ran only 26 pages. And more particularly, it was light on citations. Nash’s diss cited two texts: John von Neumann & Oskar Morgenstern’s Theory of Games and Economic Behavior (1944), which essentially created game theory and revolutionized the field of economics; the other cited text, “Equilibrium Points in n‑Person Games,” was an article written by Nash himself. And it laid the foundation for his dissertation, another seminal work in the development of game theory, for which Nash won the Nobel Prize in Economic Sciences in 1994 .
The reward of inventing a new field is having a slim bibliography.
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by OC  Permalink  Comments (2) 
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Comments (2), 2 comments so far.
Sometimes doctoral dissertations are long on footnotes and bibliography — and short on original thinking. John Nash reversed the academic trend. Reminds me of the Renaissance painter who was asked for evidence of his ability to draw. He drew a nearperfect circle on a canvas, and was accepted by the master as an apprentice.
Excellent concept and articles.…worth reading.…pl forward more reading
Thanks and regards
Dr B Vijay Sarthi
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Doctorandum
PhD: Been There, Done That...
 The World’s Shortest PhD Dissertations
“David Lee Rector’s Ph.D. Thesis is just nine pages long plus bio and bibliography, not to mention doublespaced.” [Source & Photo Credit: Ali Almossawi ]
You have probably seen thick dissertations, too heavy to lift with one hand… but have you ever thought of how short a PhD dissertation can possibly be?
Well, John Edensor Littlewood once famously inquired “ whether a dissertation of 2 lines could deserve and get a Fellowship ” – and he seems to have meant it.
Interestingly, some of the world’s shortest PhD theses / dissertations also count among the most famous ones at the same time. Here are the Top 5 we could identify:
24 pages – John F. Nash: NonCooperative Games (1950)
17 pages – Albert Einstein: Eine neue Bestimmung der Moleküldimensionen (1905) / A New Determination of Molecular Dimensions (1906)
16 pages – Edmund Landau: Neuer Beweis der Gleichung (1899) / New Proof of the Equation (2007)
13 pages – Burt Totaro: Milnor KTheory is the Simplest Part of Algebraic KTheory (1992)
9 pages – David Lee Rector: An Unstable Adams Spectral Sequence (1966)
Please drop us a line if you know any shorter dissertations than the ones above!
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Dissertations
Most Harvard PhD dissertations from 2012 forward are available online in DASH , Harvard’s central openaccess repository and are linked below. Many older dissertations can be found on ProQuest Dissertation and Theses Search which many university libraries subscribe to.
Dissertations and Placements 2010Present
Emily Dautenhahn Thesis: Heat kernel estimates on glued spaces Advisor: Laurent SaloffCoste First Position: Assistant Professor at Murray State University
Elena Hafner Thesis: Combinatorics of Vexillary Grothendieck Polynomials Advisor: Karola Meszaros First Position: NSF Postdoctoral Fellow,, at University of Washington
Sumun Iyer Thesis: Dynamics of nonlocally compact topological groups Advisor: Slawomir Solecki First Position: NSF Postdoctoral Fellow at Carnegie Mellon University in Pittsburgh
Sebastian Junge Thesis: Applications of Transferring the Ramsey Property between Categories Advisor: Slawomir Solecki First Position: Lecturer at Texas State University
Nicki Magill Thesis: Infinite Staircases for Hirzebruch Surfaces Advisor: Tara Holm First Position: NSF Postdoctoral Fellow at UC Berkeley
Prairie WentworthNice Thesis: Finite Groups, Polymatroids, and ErrorCorrecting Codes Advisor: Edward Swartz First Position: Postdoctoral Teaching Fellow at Johns Hopkins University
Fiona Young Thesis: Dissecting an Integer Polymatroid Advisor: Edward Swartz First Position: Pursuing her own startup in the math education technology space
Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel HalpernLeistner First Position: Postdoc at the Institution for Advanced Study and Princeton
Max Lipton Thesis: Dynamical Systems in Pure Mathematics Advisor: Steven Strogatz First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology
Elise McMahon Thesis: A simplicial set approach to computing the group homology of some orthogonal subgroups of the discrete group Advisor: Inna Zakharevich First Position: Senior Research Scientist at Two Six Technologies
Andrew Melchionna Thesis: Opinion Propagation and Sandpile Models Advisor: Lionel Levine First Position: Quantitative Researcher at Trexquant
Peter Uttenthal Thesis: Density of Selmer Ranks in Families of Even Galois Representations Advisor: Ravi Kumar Ramakrishna First Position: Visiting Assistant Professor at Cornell University
Liu Yun Thesis: Towers of Borel Fibrations and Generalized QuasiInvariants Advisor: Yuri Berest First Position: Postdoc at Indiana University Bloomington
Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC
Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University
Shiping Cao Thesis: Topics in scaling limits on some Sierpinski carpet type fractals Advisor: Robert Strichartz (Laurent SaloffCoste in last semester) First Position: Postdoctoral Scholar, University of Washington
Andres Fernandes Herrero Thesis: On the boundedness of the moduli of logarithmic connections Advisor: Nicolas Templier First Position: Ritt Assistant Professor, Columbia University
Max Hallgren Thesis: Ricci Flow with a Lower Bound on Ricci Curvature Advisor: Xiaodong Cao First Position: NSF Postdoctoral Research Fellow, Rutgers University
Gautam Krishnan Thesis: Degenerate series representations for symplectic groups Advisor: Dan Barbasch First Position: Hill Assistant Professor, Rutgers University
Feng Liang Thesis: Mixing time and limit shapes of Abelian networks Advisor: Lionel Levine
David Mehrle Thesis: Commutative and Homological Algebra of Incomplete Tambara Functors Advisor: Inna Zakharevich First Position: Postdoctoral Scholar, University of Kentucky
Itamar Sales de Oliveira Thesis: A new approach to the Fourier extension problem for the paraboloid Advisor: Camil Muscalu First Position: Postdoctoral Researcher, Nantes Université
Brandon Shapiro Thesis: Shape Independent Category Theory Advisor: Inna Zakharevich First Position: Postdoctoral Fellow, Topos Institute
Ayah Almousa Thesis: Combinatorial characterizations of polarizations of powers of the graded maximal ideal Advisor: Irena Peeva First position: RTG Postdoctoral Fellow, University of Minnesota
Jose Bastidas Thesis: Species and hyperplane arrangements Advisor: Marcelo Aguiar First position: Postdoctoral Fellow, Université du Québec à Montréal
Zaoli Chen Thesis: Clustered Behaviors of Extreme Values Advisor: Gennady Samorodnitsky First Position: Postdoctoral Researcher, Department of and Statistics, University of Ottawa
Ivan Geffner Thesis: Implementing Mediators with Cheap Talk Advisor: Joe Halpern First Position: Postdoctoral Researcher, Technion – Israel Institute of Technology
Ryan McDermott Thesis: Phase Transitions and NearCritical Phenomena in the Abelian Sandpile Model Advisor: Lionel Levine
Aleksandra Niepla Thesis: Iterated Fractional Integrals and Applications to Fourier Integrals with Rational Symbol Advisor: Camil Muscalu First Position: Visiting Assistant Professor, College of the Holy Cross
Dylan Peifer Thesis: Reinforcement Learning in Buchberger's Algorithm Advisor: Michael Stillman First Position: Quantitative Researcher, Susquehanna International Group
Rakvi Thesis: A Classification of Genus 0 Modular Curves with Rational Points Advisor: David Zywina First Position: Hans Rademacher Instructor, University of Pennsylvania
Ana Smaranda Sandu Thesis: Knowledge of counterfactuals Advisor: Anil Nerode First Position: Instructor in Science Laboratory, Computer Science Department, Wellesley College
Maru Sarazola Thesis: Constructing Ktheory spectra from algebraic structures with a class of acyclic objects Advisor: Inna Zakharevich First Position: J.J. Sylvester Assistant Professor, Johns Hopkins University
Abigail Turner Thesis: L2 Minimal Algorithms Advisor: Steven Strogatz
Yuwen Wang Thesis: Longjump random walks on finite groups Advisor: Laurent SaloffCoste First Position: Postdoc, University of Innsbruck, Austria
Beihui Yuan Thesis: Applications of commutative algebra to spline theory and string theory Advisor: Michael Stillman First Position: Research Fellow, Swansea University
Elliot Cartee Thesis: Topics in Optimal Control and Game Theory Advisor: Alexander Vladimirsky First Position: L.E. Dickson Instructor, Department of , University of Chicago
Frederik de Keersmaeker Thesis: Displaceability in Symplectic Geometry Advisor: Tara Holm First Position: Consultant, Addestino Innovation Management
Lila Greco Thesis: Locally Markov Walks and Branching Processes Advisor: Lionel Levine First Position: Actuarial Assistant, Berkshire Hathaway Specialty Insurance
Benjamin Hoffman Thesis: Polytopes And Hamiltonian Geometry: Stacks, Toric Degenerations, And Partial Advisor: Reyer Sjamaar First Position: Teaching Associate, Department of , Cornell University
Daoji Huang Thesis: A Bruhat Atlas on the Wonderful Compactification of PS O(2 n )/ SO (2 n 1) and A KazhdanLusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota
PakHin Li Thesis: A Hopf Algebra from Preprojective Modules Advisor: Allen Knutson First position: Associate, Goldman Sachs
Anwesh Ray Thesis: Lifting Reducible Galois Representations Advisor: Ravi Ramakrishna First Position: Postdoctoral Fellowship, University of British Columbia
Avery St. Dizier Thesis: Combinatorics of Schubert Polynomials Advisor: Karola Meszaros First Position: Postdoctoral Fellowship, Department of , University of Illinois at UrbanaChampaign
Shihao Xiong Thesis: Forcing Axioms For SigmaClosed Posets And Their Consequences Advisor: Justin Moore First Position: Algorithm Developer, Hudson River Trading
Swee Hong Chan Thesis: Nonhalting abelian networks Advisor: Lionel Levine First Position: Hedrick Adjunct Assistant Professor, UCLA
Joseph Gallagher Thesis: On conjectures related to character varieties of knots and Jones polynomials Advisor: Yuri Berest First Position: Data Scientist, Capital One
Jun Le Goh Thesis: Measuring the Relative Complexity of Mathematical Constructions and Theorems Advisor: Richard Shore First Position: Van Vleck Assistant Professor, University of WisconsinMadison
Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent SaloffCoste First Position: Visiting Assistant Professor, Department of , Cornell University
Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent SaloffCoste First Position: Data Scientist, Jet.com
Ian Pendleton Thesis: The Fundamental Group, Homology, and Cohomology of Toric Origami 4Manifolds Advisor: Tara Holm
Amin Saied Thesis: Stable representation theory of categories and applications to families of (bi)modules over symmetric groups Advisor: Martin Kassabov First Position: Data Scientist, Microsoft
Yujia Zhai Thesis: Study of biparameter flag paraproducts and biparameter stoppingtime algorithms Advisor: Camil Muscalu First Position: Postdoctoral Associate, Université de Nantes
Tair Akhmejanov Thesis: Growth Diagrams from Polygons in the Affine Grassmannian Advisor: Allen Knutson First position: Arthur J. Krener Assistant Professor, University of California, Davis
James Barnes Thesis: The Theory of the Hyperarithmetic Degrees Advisor: Richard Shore First position: Visiting Lecturer, Wellesley College
Jeffrey Bergfalk Thesis: Dimensions of ordinals: set theory, homology theory, and the first omega alephs Advisor: Justin Moore Postdoctoral Associate, UNAM  National Autonomous University of Mexico
TaoRan Chen Thesis: The Inverse Deformation Problem Advisor: Ravi Ramakrishna
Sergio Da Silva Thesis: On the Gorensteinization of Schubert varieties via boundary divisors Advisor: Allen Knutson First position: Pacific Institute for the Mathematical Sciences (PIMS) postdoctoral fellowship, University of Manitoba
Eduard Einstein Thesis: Hierarchies for relatively hyperbolic compact special cube complexes Advisor: Jason Manning First position: Research Assistant Professor (Postdoc), University of Illinois, Chicago (UIC)
Balázs Elek Thesis: Toric surfaces with KazhdanLusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto
Kelsey HoustonEdwards Thesis: Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent SaloffCoste First position: Professor of Math and Science Communication, Olin College
My Huynh Thesis: The Gromov Width of Symplectic Cuts of Symplectic Manifolds. Advisor: Tara Holm First position: Applied Mathematician, Applied Research Associates Inc., Raleigh NC.
Hossein Lamei Ramandi Thesis: On the minimality of nonσscattered orders Advisor: Justin Moore First position: Postdoctoral Associate at UFT (University Toronto)
Christine McMeekin Thesis: A density of ramified primes Advisor: Ravi Ramakrishna First position: Researcher at Max Planck Institute
Aliaksandr Patotski Thesis: Derived characters of Lie representations and ChernSimons forms Advisor: Yuri Berest First position: Data Scientist, Microsoft
Ahmad Rafiqi Thesis: On dilatations of surface automorphisms Advisor: John Hubbard First position: Postdoctoral Associate, Sao Palo, Brazil
YingYing Tran Thesis: Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher
Drew Zemke Thesis: Surfaces in Three and FourDimensional Topology Advisor: Jason Manning First position: Preceptor in , Harvard University
Heung Shan Theodore Hui Thesis: A Radical Characterization of Abelian Varieties Advisor: David Zywina First position: Quantitative Researcher, Eastmore Group
Daniel Miller Thesis: Counterexamples related to the Sato–Tate conjecture Advisor: Ravi Ramakrishna First position: Data Scientist, Microsoft
Lihai Qian Thesis: Rigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions Advisor: Xiaodong Cao First position: Quantitative Associate, Wells Fargo
Valente Ramirez Garcia Luna Thesis: Quadratic vector fields on the complex plane: rigidity and analytic invariants Advisor: Yulij Ilyashenko First position: Lebesgue Postdoc Fellow, Institut de Recherche Mathématique de Rennes
Iian Smythe Thesis: Set theory in infinitedimensional vector spaces Advisor: Justin Moore First position: Hill Assistant Professor at Rutgers, the State University of New Jersey
Zhexiu Tu Thesis: Topological representations of matroids and the cdindex Advisor: Edward Swartz First position: Visiting Professor  Centre College, Kentucky
Waikit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University
Lucien Clavier Thesis: Nonaffine horocycle orbit closures on strata of translation surfaces: new examples Advisor: John Smillie First position: Consultant in Capital Markets, Financial Risk at Deloitte Luxembourg
Voula Collins Thesis: Crystal branching for nonLevi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space Advisor: Allen Knutson FIrst position: Postdoctoral Associate, University of Connecticut
Pok Wai Fong Thesis: Smoothness Properties of symbols, Calderón Commutators and Generalizations Advisor: Camil Muscalu First position: Quantitative researcher, Two Sigma
Tom Kern Thesis: Nonstandard models of the weak second order theory of one successor Advisor: Anil Nerode First position: Visiting Assistant Professor, Cornell University
Robert Kesler Thesis: Unbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators Advisor: Camil Muscalu First position: Postdoctoral Associate, Georgia Institute of Technology
Yao Liu Thesis: Riesz Distributions Assiciated to Dunkl Operators Advisor: Yuri Berest First position: Visiting Assistant Professor, Cornell University
Scott Messick Thesis: Continuous atomata, compactness, and Young measures Advisor: Anil Nerode First position: Startup
Aaron Palmer Thesis: Incompressibility and Global Injectivity in SecondGradient NonLinear Elasticity Advisor: Timothy J. Healey First position: Postdoctoral fellow, University of British Columbia
Kristen Pueschel Thesis: On Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups Advisor: Timothy Riley First position: Postdoctoral Associate, University of Arkansas
Chenxi Wu Thesis: Translation surfaces: saddle connections, triangles, and covering constructions. Advisor: John Smillie First position: Postdoctoral Associate, Max Planck Institute of
David Belanger Thesis: Sets, Models, And Proofs: Topics In The Theory Of Recursive Functions Advisor: Richard A. Shore First position: Research Fellow, National University of Singapore
Cristina Benea Thesis: VectorValued Extensions for Singular Bilinear Operators and Applications Advisor: Camil Muscalu First position: University of Nantes, France
Kai Fong Ernest Chong Thesis: Face Vectors and Hilbert Functions Advisor: Edward Swartz First position: Research Scientist, Agency for Science, Technology and Research, Singapore
Laura Escobar Vega Thesis: Brick Varieties and Toric Matrix Schubert Varieties Advisor: Allen Knutson First position: J. L. Doob Research Assistant Professor at UIUC
Joeun Jung Thesis: Iterated trilinear fourier integrals with arbitrary symbols Advisor: Camil Muscalu First position: Researcher, PARC (PDE and Functional Analysis Research Center) of Seoul National University
Yasemin Kara Thesis: The laplacian on hyperbolic Riemann surfaces and Maass forms Advisor: John H. Hubbard Part Time Instructor, Faculty of Engineering and Natural Sciences, Bahcesehir University
Chor Hang Lam Thesis: Homological Stability Of Diffeomorphism Groups Of 3Manifolds Advisor: Allen Hatcher
Yash Lodha Thesis: Finiteness Properties And Piecewise Projective Homeomorphisms Advisor: Justin Moore and Timothy Riley First position: Postdoctoral fellow at Ecole Polytechnique Federale de Lausanne in Switzerland
Radoslav Zlatev Thesis: Examples of Implicitization of Hypersurfaces through Syzygies Advisor: Michael E. Stillman First position: Associate, Credit Strats, Goldman Sachs
Margarita Amchislavska Thesis: The geometry of generalized Lamplighter groups Advisor: Timothy Riley First position: Department of Defense
Hyungryul Baik Thesis: Laminations on the circle and hyperbolic geometry Advisor: John H. Hubbard First position: Postdoctoral Associate, Bonn University
Adam Bjorndahl Thesis: Languagebased games Advisor: Anil Nerode and Joseph Halpern First position: Tenure Track Professor, Carnegie Mellon University Department of Philosophy
Youssef El Fassy Fihry Thesis: Graded Cherednik Algebra And QuasiInvariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft
Chikwong Fok Thesis: The Real Ktheory of compact Lie groups Advisor: Reyer Sjamaar First position: Postdoctoral fellow in the National Center for Theoretical Sciences, Taiwan
Kathryn Lindsey Thesis: Families Of Dynamical Systems Associated To Translation Surfaces Advisor: John Smillie First position: Postdoctoral Associate, University of Chicago
Andrew Marshall Thesis: On configuration spaces of graphs Advisor: Allan Hatcher First position: Visiting Assistant Professor, Cornell University
Robyn Miller Thesis: Symbolic Dynamics Of Billiard Flow In Isosceles Triangles Advisor: John Smillie First position: Postdoctoral Researcher at Mind Research Network
Diana Ojeda Aristizabal Thesis: Ramsey theory and the geometry of Banach spaces Advisor: Justin Moore First position: Postdoctoral Fellow, University of Toronto
Hung Tran Thesis: Aspects of the Ricci flow Advisor: Xiaodong Cao First position: Visiting Assistant Professor, University of California at Irvine
Baris Ugurcan Thesis: LPLPEstimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs Advisor: Robert S. Strichartz First position: Postdoctoral Fellowship, University of Western Ontario
Anna Bertiger Thesis: The Combinatorics and Geometry of the Orbits of the Symplectic Group on Flags in Complex Affine Space Advisor: Allen Knutson First position: University of Waterloo, Postdoctoral Fellow
Mariya Bessonov Thesis: Probabilistic Models for Population Dynamics Advisor: Richard Durrett First position: CUNY City Tech, Assistant Professor, Tenure Track
Igors Gorbovickis Thesis: Some Problems from Complex Dynamical Systems and Combinatorial Geometry Advisor: Yulij Ilyashenko First position: Postdoctoral Fellow, University of Toronto
Marisa Hughes Thesis: Quotients of Spheres by Linear Actions of Abelian Groups Advisor: Edward Swartz First position: Visiting Professor, Hamilton College
Kristine Jones Thesis: Generic Initial Ideals of Locally CohenMacaulay Space Curves Advisor: Michael E. Stillman First position: Software Developer, Microsoft
Shisen Luo Thesis: Hard Lefschetz Property of Hamiltonian GKM Manifolds Advisor: Tara Holm First position: Associate, Goldman Sachs
Peter Luthy Thesis: Biparameter Maximal Multilinear Operators Advisor: Camil Muscalu First position: Chauvenet Postdoctoral Lecturer at Washington University in St. Louis
Remus Radu Thesis: Topological models for hyperbolic and semiparabolic complex Hénon maps Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University
Jenna Rajchgot Thesis: Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane Advisor: Allen Knutson First position: Research member at the Mathematical Sciences Research Institute (fall 2012); postdoc at the University of Michigan
Raluca Tanase Thesis: Hénon maps, discrete groups and continuity of Julia sets Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University
Ka Yue Wong Thesis: Dixmier Algebras on Complex Classical Nilpotent Orbits and their Representation Theories Advisor: Dan M. Barbasch First position: Postdoctoral fellow at Hong Kong University of Science and Technology
Tianyi Zheng Thesis: Random walks on some classes of solvable groups Advisor: Laurent SaloffCoste First position: Postdoctoral Associate, Stanford University
Juan Alonso Thesis: Graphs of Free Groups and their Measure Equivalence Advisor: Karen Vogtmann First position: Postdoc at Uruguay University
Jason Anema Thesis: Counting Spanning Trees on Fractal Graphs Advisor: Robert S. Strichartz First position: Visiting assistant professor of mathematics at Cornell University
Saúl Blanco Rodríguez Thesis: Shortest Path Poset of Bruhat Intervals and the CompletecdIndex Advisor: Louis Billera First position: Visiting assistant professor of mathematics at DePaul University
Fatima Mahmood Thesis: Jacobi Structures and Differential Forms on Contact Quotients Advisor: Reyer Sjamaar First position: Visiting assistant professor at University of Rochester
Philipp Meerkamp Thesis: Singular Hopf Bifurcation Advisor: John M. Guckenheimer First position: Financial software engineer at Bloomberg LP
Milena Pabiniak Thesis: Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Advisor: Tara Holm First position: Postdoctoral associate at the University of Toronto
Peter Samuelson Thesis: Kauffman Bracket Skein Modules and the Quantum Torus Advisor: Yuri Berest First position: Postdoctoral associate at the University of Toronto
Mihai Bailesteanu Thesis: The Heat Equation under the Ricci Flow Advisor: Xiaodong Cao First position: Visiting assistant professor at the University of Rochester
Owen Baker Thesis: The Jacobian Map on Outer Space Advisor: Karen Vogtmann First position: Postdoctoral fellow at McMaster University
Jennifer Biermann Thesis: Free Resolutions of Monomial Ideals Advisor: Irena Peeva First position: Postdoctoral fellow at Lakehead University
Mingzhong Cai Thesis: Elements of Classical Recursion Theory: DegreeTheoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison
RiXiang Chen Thesis: Hilbert Functions and Free Resolutions Advisor: Irena Peeva First position: Instructor at Shantou University in Guangdong, China
Denise Dawson Thesis: Complete Reducibility in Euclidean Twin Buildings Advisor: Kenneth S. Brown First position: Assistant professor of mathematics at Charleston Southern University
George Khachatryan Thesis: Derived Representation Schemes and Noncommutative Geometry Advisor: Yuri Berest First position: Reasoning Mind
Samuel Kolins Thesis: Face Vectors of Subdivision of Balls Advisor: Edward Swartz First position: Assistant professor at Lebanon Valley College
Victor Kostyuk Thesis: Outer Space for TwoDimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind
Ho Hon Leung Thesis: KTheory of Weight Varieties and Divided Difference Operators in Equivariant KKTheory Advisor: Reyer Sjamaar First position: Assistant professor at the Canadian University of Dubai
Benjamin Lundell Thesis: Selmer Groups and Ranks of Hecke Rings Advisor: Ravi Ramakrishna First position: Acting assistant professor at the University of Washington
Eyvindur Ari Palsson Thesis: Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator Advisor: Camil Muscalu First position: Visiting assistant professor at the University of Rochester
Paul Shafer Thesis: On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Advisor: Richard A. Shore First position: Lecturer at Appalachian State University
Michelle Snider Thesis: Affine Patches on Positroid Varieties and Affine Pipe Dreams Advisor: Allen Knutson First position: Government consulting job in Maryland
Santi Tasena Thesis: Heat Kernel Analysis on Weighted Dirichlet Spaces Advisor: Laurent SaloffCoste First position: Lecturer professor at Chiang Mai University, Thailand
Russ Thompson Thesis: Random Walks and Subgroup Geometry Advisor: Laurent SaloffCoste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute
Gwyneth Whieldon Thesis: Betti Numbers of StanleyReisner Ideals Advisor: Michael E. Stillman First position: Assistant professor of mathematics at Hood College
Andrew Cameron Thesis: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for SecondOrder Equations Advisor: Alfred H. Schatz First position: Adjunct instructor of mathematics at Tompkins Cortland Community College
Timothy Goldberg Thesis: Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry Advisor: Reyer Sjamaar First position: Visiting assistant professor of mathematics at LenoirRhyne University
Gregory Muller Thesis: The Projective Geometry of Differential Operators Advisor: Yuri Berest First position: Assistant professor at Louisiana State University
Matthew Noonan Thesis: Geometric Backlund transofrmation in homogeneous spaces Advisor: John H. Hubbard
Sergio Pulido Niño Thesis: Financial Markets with Short Sales Prohibition Advisor: Philip E. Protter First position: Postdoctoral associate in applied probability and finance at Carnegie Mellon University
The Dramatic and Ultimate Shortening of a Doctoral Dissertation in Mathematics
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Recent PhD Theses  Applied Mathematics
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PhD Theses 2024
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Hank Chen  
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Liang Chen 

Alexey Smirnov  
Mengyao Zhang  
Yuan Wang  
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PhD Theses 2023
Author  Title  

Donovan Allum 
 
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MariaEftychia Papageorgiou 
 
Esha Saha 
 
Zhanlue Liang 
 
Dorsa Mohammadrezaei  
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Cameron Meaney  
Panagiotis Tsimiklis  
Julian SmithRoberge  
Vahid Nourian 
PhD Theses 2022
Author  Title  

James Petrie  
Yiming Meng 
 
Mana Donganont  
Russell Milne 
 
Alison Cheeseman 
 
Qiaoyin Pan  
Krishna Dutt  
Andrew Grace  
Keegan Kirk  
Brydon Eastman  
Benjamin Lovitz 
PhD Theses 2019
Author  Title  

Yangang Chen 
 
Kamran Akbari  
Lindsey Daniels  
Kevin E.M. Church  
Chengzhu Xu 
PhD Theses 2018
Author  Title  

Julian Rennert  
Andrew Giuliani  
Ian Hincks  
Daniel Puzzuoli  
David Deepwell  
Tahmina Akhter 

PhD Theses 2017
Author  Title  

Cong Wu 
 
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Alexander James Maxwell Howse 
 
Zhen Wang 
 
Kexue Zhang 
 
Mikhail Panine 
 
Keegan Keplinger 
 
Subasha Wickramarachchi 
 
Jared Penney 
 
Sepideh Afshar 
 
Ali Mahdipour Shirayeh 

PhD Theses 2016
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Giuseppe Sellaroli 
 
Robert H. Jonsson 
 
John Lang 
 
John Yawney 
 
Kristopher Rowe 
 
Manda Winlaw 
 
Anton Baglaenko 

PhD Theses 2015
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Taghreed Sugati 
 
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Herbert Tang 
 
Noel Chalmers  
Puneet Sharma 
 
Daniel Otero 
 
Sina Khani  
Ilona Anna KowalikUrbaniak 
PhD Theses 2014
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Michael Dunphy  
Peter Stechlinski  
Colin Phipps  
Andree Susanto  
Derek Steinmoeller  
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PhD Theses 2013
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József Vass  
Andrijana Burazin  
Nancy Soontiens  
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PhD Theses 2012
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Rahul Rahul  
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Wai Man NG  
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PhD Theses 2011
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Raluca Jessop  
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Mohamad Alwan  
Yanwei Wang  
Christopher Subich  
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PhD Theses 2010
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Jun Liu 
 
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Nataliya Portman 

PhD Theses 2009
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Rudy Gunawan  
Gibin George Powathil  
Matthew Calder 
PhD Theses 2008
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Gregory Mayer  
Cedric Beny  
Lijun Wang  
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PhD Theses 2007
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Shannon Kennedy  
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Mathematics PhD theses
A selection of Mathematics PhD thesis titles is listed below, some of which are available online:
2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991
Reham Alahmadi  Asymptotic Study of Toeplitz Determinants with FisherHartwig Symbols and Their DoubleScaling Limits
Anne Sophie Rojahn – Localised adaptive Particle Filters for large scale operational NWP model
Melanie Kobras – Low order models of storm track variability
Ed Clark – Vectorial Variational Problems in L∞ and Applications to Data Assimilation
Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes
Chiara Cecilia Maiocchi – Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems
Samuel R Harrison – Stalactite Inspired Thin Film Flow
Elena Saggioro – Causal network approaches for the study of subseasonal to seasonal variability and predictability
Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions
Jennifer E. Israelsson – The spatial statistical distribution for multiple rainfall intensities over Ghana
Giulia Carigi – Ergodic properties and response theory for a stochastic twolayer model of geophysical fluid dynamics
André Macedo – Localglobal principles for norms
Tsz Yan Leung – Weather Predictability: Some Theoretical Considerations
Jehan Alswaihli – Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations
Jemima M Tabeart – On the treatment of correlated observation errors in data assimilation
Chris Davies – Computer Simulation Studies of Dynamics and SelfAssembly Behaviour of Charged Polymer Systems
Birzhan Ayanbayev – Some Problems in Vectorial Calculus of Variations in L∞
Penpark Sirimark – Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation
Adam Barker – Path Properties of Levy Processes
Hasen Mekki Öztürk – Spectra of Indefinite Linear Operator Pencils
Carlo Cafaro – Information gain that convectivescale models bring to probabilistic weather forecasts
Nicola Thorn – The boundedness and spectral properties of multiplicative Toeplitz operators
James Jackaman – Finite element methods as geometric structure preserving algorithms
Changqiong Wang  Applications of Monte Carlo Methods in Studying Polymer Dynamics
Jack Kirk  The molecular dynamics and rheology of polymer melts near the flat surface
Hussien Ali Hussien Abugirda  Linear and Nonlinear NonDivergence Elliptic Systems of Partial Differential Equations
Andrew Gibbs  Numerical methods for high frequency scattering by multiple obstacles (PDF2.63MB)
Mohammad Al Azah  Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF913KB)
Katarzyna (Kasia) Kozlowska  RiemannHilbert Problems and their applications in mathematical physics (PDF1.16MB)
Anna Watkins  A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF2.46MB)
Niall Arthurs  An Investigation of Conservative MovingMesh Methods for Conservation Laws (PDF1.1MB)
Samuel Groth  Numerical and asymptotic methods for scattering by penetrable obstacles (PDF6.29MB)
Katherine E. Howes  Accounting for Model Error in FourDimensional Variational Data Assimilation (PDF2.69MB)
Jian Zhu  Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF1.69MB)
Tommy Liu  Stochastic Resonance for a Model with Two Pathways (PDF11.4MB)
Matthew Paul Edgington  Mathematical modelling of bacterial chemotaxis signalling pathways (PDF9.04MB)
Anne Reinarz  Sparse spacetime boundary element methods for the heat equation (PDF1.39MB)
Adam ElSaid  Conditioning of the WeakConstraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF2.64MB)
Nicholas Bird  A MovingMesh Method for High Order Nonlinear Diffusion (PDF1.30MB)
Charlotta Jasmine Howarth  New generation finite element methods for forward seismic modelling (PDF5,52MB)
Aldo Rota  From the classical moment problem to the realizability problem on basic semialgebraic sets of generalized functions (PDF1.0MB)
Sarah Lianne Cole  Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF2.84MB)
Alexander J. F. Moodey  Instability and Regularization for Data Assimilation (PDF1.32MB)
Dale Partridge  Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF3.19MB)
Joanne A. Waller  Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF6.75MB)
Faez Ali ALMaamori  Theory and Examples of Generalised Prime Systems (PDF503KB)
Mark Parsons  Mathematical Modelling of Evolving Networks
Natalie L.H. Lowery  Classification methods for an illposed reconstruction with an application to fuel cell monitoring
David Gilbert  Analysis of largescale atmospheric flows
Peter Spence  Free and Moving Boundary Problems in Ion Beam Dynamics (PDF5MB)
Timothy S. Palmer  Modelling a single polymer entanglement (PDF5.02MB)
Mohamad Shukor Talib  Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF2.49MB)
Cassandra A.J. Moran  Wave scattering by harbours and offshore structures
Ashley Twigger  Boundary element methods for high frequency scattering
David A. Smith  Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF1.05MB)
Stephen A. Haben  Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF3.51MB)
Jing Cao  Molecular dynamics study of polymer melts (PDF3.98MB)
Bonhi Bhattacharya  Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF4.06MB)
Tamsin E. Lee  Modelling timedependent partial differential equations using a moving mesh approach based on conservation (PDF2.17MB)
Polly J. Smith  Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF3Mb)
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Shortest PhD Thesis: Top 5 shortest PhD Dissertation / Thesis
If you think a PhD thesis or dissertation needs to be thick and have hundred’s of pages, think again. PhD research can be short and incredibly succinct, and may surprise you. What are the world’s shortest PhD thesis?
At this point, the shortest PhD thesis may be David Lee Rector’s “An Unstable Adams Spectral Sequence.” This is a mathematical thesis submitted to MIT in 1966, and is only 9 pages long.
In this post, let’s look at the 5 shortest PhD theses and dissertations, including from scientific giants like Albert Einstrin and John Nash.
Shortest PhD Thesis / Dissertation
Author  Title  Field  Number of Pages 

John Nash  NonCooperative Games  Mathematics  26 
Albert Einstein  A New Determination of Molecular Dimensions  Physics  17 
Edmund Landau  New Proof of the Equation  Mathematics  16 
Burt Totaro  Milnor KTheory is the Simplest Part of Algebraic KTheory  Mathematics  13 
David Lee Rector  An Unstable Adams Spectral Sequence  Mathematics  9 
24 pages – John Nash: NonCooperative Games (1950)
John Nash’s PhD thesis on “NonCooperative Games” is a legendary document in the field of mathematics. Spanning just 26 pages, it’s among the shortest PhD dissertations but don’t let its brevity fool you.
Inside, Nash introduces the Nash equilibrium concept, a revolutionary idea in game theory. His work, done at Princeton, became a cornerstone in economics, earning him the Nobel Prize.
Unlike typical dissertations with lengthy bibliographies and extensive proofs, Nash’s paper is concise, with just two citations.
It’s a masterclass in clarity and brevity, showcasing that sometimes the most profound ideas need only a few pages to be expressed fully.
This piece is a testament to Nash’s brilliance and a reminder of the impact of powerful, succinct academic work.
17 pages – Albert Einstein: A New Determination of Molecular Dimensions (1906)
In Albert Einstein’s doctoral dissertation, “A New Determination of Molecular Dimensions,” he provided a groundbreaking method to calculate the size of molecules, which also affirmed the existence of atoms.
His work combined empirical data with theoretical physics, bridging the gap between abstract concepts and measurable reality.
This thesis is celebrated not just for its scientific significance but for its innovative approach, mixing theory with practical application.
Einstein’s ability to see beyond the established norms and connect disparate ideas set the stage for his later revolutionary theories.
16 pages – Edmund Landau: New Proof of the Equation (1899)
Edmund Landau submitted this thesis in German to graduate with a PhD in mathematics from Friedrich–Wilhelms University in Berlin in 1899. M.J. Coons later translated the thesis into English in 2007.
This made significant contributions to number theory by providing a new proof of an important equation.
Landau’s work is known for its rigorous approach and clear presentation, setting a standard in mathematical proofs. His thesis is often cited for its methodological innovation and precision, illustrating Landau’s early mastery of complex mathematical concepts.
This work laid the groundwork for his later achievements and established him as a key figure in the mathematical community.
13 pages – Burt Totaro: Milnor KTheory is the Simplest Part of Algebraic KTheory (1992)
Burt Totaro’s thesis, “Milnor KTheory is the Simplest Part of Algebraic KTheory,” presented in 1992, marks a significant contribution to mathematical science.
In this work, Totaro explored the depths of KTheory, a field that intertwines algebra and topology, providing insights into the structure and classification of algebraic varieties.
His focus on Milnor KTheory, a more approachable segment of the broader Algebraic KTheory, shed light on its foundational elements and implications for complex mathematical structures.
Totaro’s dissertation, recognized for its clarity and depth, helped demystify some of the intricate aspects of KTheory, making it more accessible to fellow researchers and mathematicians.
His work is a testament to the power of simplifying complex ideas without losing their essence, a skill that has made his thesis a valuable resource in academia.
9 pages – David Lee Rector: An Unstable Adams Spectral Sequence (1966)
And the ultimate winner for the world’s shortest PhD thesis is… David Lee Rector.
This thesis was submitted to Massachusetts Institute of Technology (MIT) in 1966, for him to earn his doctorate. It is only 9 pages long!
The thesis, “An Unstable Adams Spectral Sequence,” has a special place with mathematicians. Many academic recognize the thesis’s innovative approach to algebraic topology.
His work answered and contributed to the understanding of spectral sequences, a math tool used to compute homotopy groups and solve complex problems in topology.
Rector’s insights and methods provided a new perspective on the Adams spectral sequence, particularly focusing on its instability and applications.
His contributions have been valuable for further research in the field, offering a deeper understanding of algebraic and topological structures.
How Many Pages Do PhD Thesis Or Dissertation Usually Have?
The length of a PhD thesis or dissertation can vary widely depending on the:
 field of study,
 university requirements, and
 the nature of the research.
Generally, the average length falls between 100 to 300 pages, though there are notable exceptions on both ends of the spectrum.
Some dissertations in the humanities can exceed 300 pages, while those in the sciences may be shorter, focusing more on data and less on extensive literature review.
This is because STEM researches usually present more concise documents, heavily centered on data and succinct conclusions, often resulting in shorter lengths.
Each thesis or dissertation is unique, tailored to the depth and breadth of its specific inquiry. Long or short does not matter as much as, providing findings that contribute to the present knowledge.
The exploration of the top 5 shortest PhD theses reveals the profound impact succinct work can have on academia. These remarkable documents challenge conventional norms around dissertation length, showing how groundbreaking ideas can be short and succint.
Each thesis stands as a testament to efficiency and clarity in academic research, showcasing how significant contributions to knowledge can emerge from conciseness and precision in scholarly work.
Dr. JW Ong holds academic degrees, including a Ph.D. in Applied Linguistics from universities in New Zealand, Malaysia, and the UK. He started PhDPursuits.com as a way to share the experience he wish he would have had known before embarking on his PhD.
2021 Ph.D Thesis Defenses
Chengcheng yang.
Title: Properties of Shortest Length Curves inside Semialgebraic Sets and Problems related to an Erdös Conjecture concerning Lattice Cubes Thesis Advisor: Robert Hardt
Part I: Properties of Shortest Length Curves inside Semialgebraic Sets
This part concerns an analytical stratification question of real algebraic and semi algebraic sets. In 1957 Whitney [ 10 ] gave a stratification of real algebraic sets, it partitions a real algebraic set into partial algebraic manifolds. In 1975 Hironaka [ 3 ] reproved that a real algebraic set is triangulable and also generalized it to subanalytic sets, following the idea of Lojasiewicz’s [ 5 ] triangulation of semianalytic sets in 1964. During the same year, Hardt [ 4 ] also proved the triangulation result for subanalytic sets by inventing an other method. Since any semialgebraic set is also semianalytic, thus is subanalytic, both Hironaka and Hardt’s results showed that any semialgebraic set is homeomorphic to the polyhedron of some simplicial complex.
Following their examples and wondering how geometry looks like locally for a semi algebraic set, Part I of the paper tries to come up with a stratification, in particular a cell decomposition, such that it satisfies the following analytical property. Given any arbitrary semialgebraic set X in R2, any two points in X may be joined by a continuous path γ of shortest length. We will show that there exists a semialgebraic cell decomposition A of X such that for each A ∈ A, each component of γ ∩ A is either a singleton or a real analytic geodesic segment in A; furthermore, γ ∩ A has at most finitely many components.
Part II: Problems related to an Erd¨os conjecture concerning lattice cubes.
Part II of the paper studies a problem of Erd¨os concerning lattice cubes. Given an N × N × N lattice cube, we want to find the maximum number of vertices one can select so that no eight corners of a rectangular box are chosen simultaneously. Erd¨os conjectured that it has a sharp upper bound, which is O(N 11/4), but no example that large has been found yet. We start approaching this question for small N using the method of exhaustion, and we find that there is not necessarily a unique maximal set of vertices (counting all possible symmetries). Next, we study an equivalent twodimensional version of this problem looking for patterns that might be useful for generalizing to the threedimensional case. Since an n×n grid is also an n×n matrix, we rephrase and generalize the original question to: what is the minimum number α(k, n) of vertices one can put in an n × n matrix with entries 0 and 1, such that every k × k minor contains at least one entry of 1, for 1 ≤ k ≤ n? We discover some interesting formulas and asymptotic patterns that shed new light on the question. Then we examine many examples that succeed for O(n8/3) but fail for O(n11/4). Last we try to prove by contradiction that Erd¨os’ conjecture is wrong, and that O(n8/3) is the sharp upper bound for the maximum number. Here we work not only with discrete cases using combinatorics, but also with continuous cases, such as topological manifolds, using linear groups.
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 Department of Mathematics
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Completed Doctoral Theses
About fifteen to twenty doctoral students complete their doctoral thesis at the Department of Mathematics every year. Below you will find all doctoral theses that have been published on mediaTUM , TUM's publication server.
Note: This “quick search” only finds text in the shown fields, not in abstracts or keywords. The search term must have at least 3 letters.
 Alnasser, Hassan Habib: Enhancing Flight Safety through DataDriven Uncertainty Quantification with Vine Copula Models in Aviation. Dissertation, 2024 more… BibTeX Full text (mediaTUM)
 Lubatti, Gabriele: Characterizing cell states in early embryonic development with singlecell RNA sequencing and mathematical modelling. Dissertation, 2024 more… BibTeX Full text (mediaTUM)
 Makarov, Sergei Olegovich: Development and Implementation of a Generalized MultiIon Transport Model in Plasma Edge Fluid Codes. Dissertation, 2024 more… BibTeX Full text (mediaTUM)
 Polke, Lena: Parallelized Approaches to Conformal Mappings – with applications to realtime calligraphy. Dissertation, 2024 more… BibTeX Full text (mediaTUM)
 de Diego Unanue, Alvaro: A dynamic pLaplacian: theory, computational aspects, and numerical experiments. Dissertation, 2024 more… BibTeX Full text (mediaTUM)
 Bamberger, Stefan Julian Bernhard: Representing and Recovering Structured HighDimensional Data: Fast Dimension Reduction, Recovery Guarantees, and Neural Network Representation. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Bressan, Camilla: Metriplectic relaxation for calculating equilibria: theory and structurepreserving discretization. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Brück, Florian: Exchangeable MinimumInfinitely Divisible Sequences: Characterization, Simulation And A Detour To Model Selection. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Bäumler, Johannes: Behavior of longrange percolation at critical phases. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Böhle, Tobias: Dynamical Systems on Large Networks and Their Limits. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Carvalho Corso, Thiago: Mathematical contributions to static and timedependent density functional theory. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Fritz, Julia: On Generalized Nash Equilibrium Problems in InfiniteDimensional Spaces: Existence, Regularized NikaidoIsoda Merit Functionals, and Augmented Lagrangian Methods. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Hasenöhrl, Markus: Semicausality in Quantum Information Theory. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Havrylenko, Yevhen: Risk limitation and risk sharing in investment and insurance. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Heinze, Margret Hildegard: Quantum FaultTolerance with Continuous Variable Systems. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Kliesch, Alexander: Quantum Algorithms for Combinatorial Optimization. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Kober, Stefan A.: Three perspectives on integer programming: practical and theoretical applications, and the case of bounded subdeterminants. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Kschonnek, Michel: Duality Methods for Dynamic Portfolio Optimization with Constraints. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Lenzen, Fabian: Computational methods for multiparameter persistence. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Manai, Chokri: Quantum Spin Glass Models. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Mayrink Verdun, Claudio: Scalability in Illposed Machine Learning Problems: Bridging Least Squares Methods with (Non)convex Algorithms. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Melnyk, Oleh: Phase Retrieval from ShortTime Fourier Measurements and Applications to Ptychography. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Miller, Gregor M.: Tailored statistical methodology for largescale registrybased clinical data to optimize online risk prediction. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Musundi, Beryl Onyuma: Multiscale Modeling of Cholera: Linking Withinhost and Betweenhost Dynamics. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Rixner, Maximilian: PhysicsInformed and DataDriven Probabilistic Modeling of Materials Systems. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Schönfeld, Sabrina: Environmental stress level  a mathematical modeling framework to investigate the influence of the microenvironment on tumor cell survival. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Seidel, Ina: Homologous Circulations, Voronoi Cells, and Densest Subgraphs. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Sloot, Henrik: Stochastic representations of Marshall–Olkin distributions and upper semilinear copulas. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Stadlmayr, Claudia Christina: Geometry of rational double points and del Pezzo surfaces. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Sünnen, Philippe: Analysis of a Consensusbased Optimization Method on Hypersurfaces and Applications. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Tsipenyuk, Arseniy: Evolution Equations in Fourier Phase Retrieval. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Vögler, Daniela: The curse of dimension in multimarginal optimal transport – From a convexgeometric point of view to an efficient computational method. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Zeller, Gabriela Angela: Cyber Risk and Insurance – Risk and Dependence Modelling and Optimal Pricing of Cyber Assistance. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 von Dichter, Katherina: Studying the impact of the Asymmetry in Convex Geometry. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
 Assum, Ines Marion: Multiomics integration for Atrial Fibrillation. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Bergold, Paul Ferdinand: The Gaussian Wave Packet Transform and its Application in Quantum Dynamics. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Caro, Matthias C.: Quantum Learning Theory. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Chen, Yiyao: Individual participant data modeling approaches for clinical risk model validation and bias adjustment. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Fischer, David Sebastian: Interpretable models of gene expression in singlecell immunology. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Fritz, Marvin: Wellposedness of nonlocal and mixeddimensional phasefield models applied to tumor growth. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Graswald, Benedikt Richard: Mathematical Analysis of Electronic Structure Models. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Hertlein, Lukas Alexander: Inexact bundle methods in Hilbert space with applications to optimal control problems governed by variational inequalities. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Kaiser, Marcus Raphael: Disjoint Paths, Dynamic Equilibria, and the Design of Networks. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Koopmann, Gerd Bendix: Unobserved variables and applications of stochastic processes in life sciences. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Lange, Marius: Modeling dynamical biological processes through the lens of singlecell genomics. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Muhr, Markus: Numerical methods and applications in nonlinear acoustics and seismology: Medical ultrasound and earthquake simulations. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Neumair, Matthias Josef Philipp: Maximizing risk prediction by synthesizing multiple data sets accommodating systematic missing data and heterogeneous scales. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Okebunor Okolie, Augustine: Contact tracing on stochastic graphs. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
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 Schlicke, Pirmin: Mathematical modeling and lung cancer: quantifiable prognostic models improve clinical routine care. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Schremmer, Felix Julius Konstantin: Understanding affine DeligneLusztig varieties using the quantum Bruhat graph. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Schuh, Lea: Mathematical modeling to dissect mechanisms of gene expression regulation. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Schälte, Yannik: Efficient accurate and robust statistical inference for deterministic and stochastic models of biochemical systems. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Sodini, Giacomo Enrico: Optimal Transport: unbalanced positive measures, dissipative evolutions and Sobolev spaces. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 TsigoniasDimitriadis, Alexandros: Lotteries, Prophets, and Pandora’s Box: A New Take on Classic Problems in Mechanism Design and Online Selection. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Waldmann, Clara: Congestion Games: Equilibria, Networks, and Complexity. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
 Amrhein, Lisa: Stochastic Modeling of Heterogeneous LowInput Gene Expression: Linking SingleCell Probability Distributions to Transcription Mechanisms. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Bast, Lisa: Computational modeling and model selection to reveal cellular mechanisms in tissue homeostasis. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Behringer, Niklas: Pointwise Estimates for Finite Element Approximations of the Stokes Problem and Applications in Optimal Control. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Boada De Narvaez, Daniel: Moduli of Bielliptic Surfaces. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Boada De Narvaez, Daniel : Moduli of Bielliptic Surfaces. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Delerue, Thomas: Spatiotemporal processes of stochastic integral type. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Gschwendtner, Martina Maria: Programmable Quantum Processors. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Jaser, Miriam Angelika: Goodnessoffit tests for elliptical copulas. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Leichter, Marilena Susan: Combinatorial Algorithms for Covering and Scheduling Problems. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Milz, Johannes: Topics in PDEConstrained Optimization under Uncertainty and Uncertainty Quantification. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Pein, Anne: On the dynamics of stochastic heat equations. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Perse, Benedikt: Geometric ParticleinCell Methods on Mapped Grids. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Pieschner, Susanne: Bayesian Inference for Stochastic Differential Equation Models of Intracellular Processes. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Schaden, Daniel: Variance reduction with multilevel estimators. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Schilling, Nathanael: Characterization and efficient computation of Lagrangian coherent structures. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Schmid, Dominik: Mixing times and limit theorems for exclusion processes. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Schmiester, Leonard Günter: Efficient parameter optimization for ordinary differential equation models of biological processes using semiquantitative and qualitative data. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Schrenk, Hannah: Computing the Adaptive Cycle. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Stapor, Paul: Efficient computational methods for parameter estimation of ordinary differential equation and mixedeffect models in systems biology. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Wagner, Fabian: On efficient methods and error bounds for rare event estimation. Dissertation, 2021 more… BibTeX Full text (mediaTUM)
 Badal, Rufat: Variational Analysis of generalized Vortex Models – Interaction and Evolution of Defects. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Behrens, Kai: Moduli of supersingular Enriques surfaces. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Criens, David Benjamin Michael: Essays on Stochastic Processes and their Applications. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Drzisga, Daniel: Accelerating Isogeometric Analysis and Matrixfree Finite Element Methods Using the Surrogate Matrix Methodology. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Fiedler, Anna Kristina: Quantitative mathematical modeling of biological processes using reduced parameter and data spaces. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Gaja, Mustafa: Compatible Finite Elements for Wave and Fluid Models: Application to Plasma Physics. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Ge, YiMin: Quantum algorithms for quantum manybody systems and small quantum computers. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Gottschau, Marinus: Cuts, Paths, and Processes in Graphs. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Hafemeyer, Dominik T.: Optimal Control of Parabolic Obstacle Problems – Optimality Conditions and Numerical Analysis. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Happach, Felix: MinSum Set Cover, ORScheduling, and Related Problems. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Haubner, Johannes: Shape Optimization for FluidStructure Interaction. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Klemm, Fabian: Constrained Clustering via Generalized Voronoi Diagrams. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Kreuzer, Alexander: Bayesian time series modeling with copula structures. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Lichtenstern, Andreas: Optimal Investment Strategies for Pension Funds. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Montag, Aaron: Domain Parallel Machines – An Abstraction of GPU Shader Programming and Applications in Mathematics. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Mundelius, David: Arithmetic Invariant Rings of Finite Groups. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Selig, Katharina: Bayesian information criterion approximations for model selection in multivariate logistic regression with application to electronic medical records. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Söllner, Benjamin: L<sup>p</sup>Wasserstein and fluxlimited gradient flows: Entropic discretization, convergence analysis and numerics. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Teixeira Parente, Mario Manuel: Active Subspaces in Bayesian Inverse Problems. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Wahl, Markus Joseph: Optimal Investment Strategies for Asset Liability Management. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Ye, Zi: Discrete Spin Geometry for Surfaces. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Yurova, Anna: Generalized anisotropic Hermite functions and their applications. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
 Ballnus, Benjamin: Development and Evaluation of Samplingbased Parameter Estimation Methods for Dynamic Biological Processes. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Barthel, Nicole: Vine based models for multivariate volatility timeseries and timetoevent data. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Belz, Sandro: Modelling and Simulation for Brittle Fracture of Thin Shells subject to Normal Displacements. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Bienek, Tobias: Hedging and Valuation of Contingent Guarantees. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Bluhm, Andreas: Compression and measurements in quantum information theory. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Büttner, Maren: Statistical data integration for singlecell RNAsequencing  batch effect correction and lineage inference. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Cuesta Rueda, Javier Enrique: Stability of Symmetries in Quantum Mechanics. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Do Rego Sousa, Thiago: Simulationbased estimation of time series and stochastic volatility processes. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Duell, Maximilian: Nonlocal methods in HaagRuelle scattering theory. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Garreis, Sebastian: Optimal Control under Uncertainty: Theory and Numerical Solution with LowRank Tensors. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Ghiglione, Viviana: Switching Components in Discrete Tomography: Characterization, Constructions, and NumberTheoretical Aspects. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Guidi, Lorenzo: Scattering and reflection of microwave beams in fusion plasmas – Numerical analysis with semiclassical methods. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Huber, Stefan: Entropic inequalities for bosonic systems. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Höfelsauer, Thomas: Frogs and other moving particles. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
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 Junk, Stefan: Random polymers in disastrous environments. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Kümmerle, Christian: Understanding and Enhancing Data Recovery Algorithms – From NoiseBlind Sparse Recovery to Reweighted Methods for LowRank Matrix Optimization. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Latz, Jonas: Exploring and exploiting hierarchies in Bayesian inverse problems. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Loos, Carolin: Datadriven robust and efficient mathematical modeling of biochemical processes. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Maly, Johannes: Recovery Algorithms for Quantized Compressed Sensing. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Pham, Viet Son: Stochastic modeling in space and time with Lévydriven random fields. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Plazotta, Simon: Structure preserving discretization and approximation of gradient flows in Wassersteinlike space. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Singhammer, Korbinian Ferdinand: Optimal Control of Stationary FluidStructure Interaction with Partitioned Methods. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Stadler, Eva Maria: Transport equations and plasmidinduced cellular heterogeneity. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Stocker, Patrick R.: Spatial single cell modelling of bacterial sporulation controlled by quorum sensing. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Stursberg, Paul Melvin: On the Mathematics of Energy System Optimization – Network Models, Decomposition, and Economic Incentives. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Stöger, Dominik: Bilinear Compressed Sensing. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Swierczynski, Piotr: EnergyCorrected Finite Element Method for Parabolic and Optimal Control Problems. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Vidotto, Ettore: Multiscale methods for flow and transport in porous media. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Walter, Daniel: On sparse sensor placement for parameter identification problems with partial differential equations. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Werner, Bernhard Odin: Strokebased Handwriting Recognition: Theory and Applications. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Zoni, Edoardo: Theoretical and numerical studies of gyrokinetic models for shaped Tokamak plasmas. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
 Ackermann, Daniel: Mathematical analysis of a food chain. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Ameres, Jakob: Stochastic and Spectral Particle Methods for Plasma Physics. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 August, Moritz: Tensor networks and machine learning for approximating and optimizing functions in quantum physics. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Bonifacius, Lucas: Numerical analysis of parabolic timeoptimal control problems. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Buchinger, Matthias: Viscosity solutions for control problems with hysteresis. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Dingfelder, Benedict: A locally fieldaligned discontinuous Galerkin method. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Fröhlich, Fabian: Scalable Simulation and Optimization Methods for Differential Equation Models describing Biochemical Reaction Networks. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Gissibl, Nadine: Graphical modeling of extremes – Maxlinear models on directed acyclic graphs. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Hashagen, AnnaLena Karolyn: Symmetry Methods in Quantum Information Theory. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Huber, Markus: Massively parallel and faulttolerant multigrid solvers on petascale systems. Dissertation, 2018 more… BibTeX
 Jarde, Philipp Paul: Analysis of optimal control problems for the optical flow equation under mild regularity assumptions. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Kazeroonian, Atefeh: Studying the dynamics of stochastic biochemical processes using generalised moment closure approximations. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Klinger, Emmanuel G.: Approximate Bayesian Model Selection for Local Cortical Networks at Cellular Resolution. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Krautenbacher, Norbert: Learning on complex, biased, and big data: disease risk prediction in epidemiological studies and genomic medicine on the example of childhood asthma. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 König, Benno: A Geometric Construction for the Associated Family of S–Isothermic CMC Surfaces. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Laimighofer, Michael: Statistical learning for prediction of Type 1 Diabetes using clinical risk factors and omics data. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Martin, Gebhard: Automorphisms of Enriques Surfaces. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Münch, Christian: Semilinear parabolic systems with hysteresis: Hadamard differentiability of the solution operator and optimal control. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Nagler, Thomas: Nonparametric estimation in simplified vine copula models. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Oelker, Aenne Christine: Mathematical Modeling and Pattern Formation for Bacterial Colonies. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Schröder, Kristof: Localized Kernels and Superresolution on Special Manifolds. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Sigl, Juliane: Iteratively Reweighted Least Squares  Nonlinear Regression and LowDimensional Structure Learning for Big Data. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Stilck França, Daniel: Convergence of Markovian Semigroups with Applications to Quantum Information Theory. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Strobel, Michael: Nonstandard Analysis in Projective Geometry. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
 Urban, Sebastian: Neural Network Architectures and Activation Functions: A Gaussian Process Approach. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
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 von Soosten, Per: Hierarchical Random Matrices and Operators. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
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 Denner, Andreas: Coherent structures and transfer operators. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 El BehiGornostaeva, Elena: Wellposedness for flows in porous media with a hysteretic constitutive relation. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 Erhardt, Tobias Michael: Development of Vine Copula based Drought Indices and Model Evaluation under the Presence of NonStationarity. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 Failer, Lukas: Optimal Control of TimeDependent Nonlinear FluidStructure Interaction. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 Fattahi Evati, Ehsan: Simulation poröser Medien auf Höchstleistungsrechnern mit der Lattice Boltzmann Methode. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 Idel, Martin: Normal Forms and Squeezing in Continuous Variable Quantum Information. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 Killiches, Matthias Markus: Model distances, block maxima and repeated measurements in the context of vine copulas. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 Klepsch, Johannes: Time series analysis in Hilbert spaces – Estimation of functional linear processes and prediction of traffic. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 Kraus, Daniel: Dvine copula based quantile regression and the simplifying assumption for vine copulas. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
 Mahlstedt, Mirco: Complexity Reduction for Option Pricing – Parametric Problems and Methodological Risk. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
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 Miller, Katja: Random walks on oriented percolation and in recurrent environments. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
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 Ramsauer, Franz Hubert: Estimation of factor models with incomplete data and their applications. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
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 Schmidt, Tina Janne: On the Minimum Bisection Problem in TreeLike and Planar Graphs – Structural and Algorithmic Results. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
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 Troppmann, Stephanie: NonHermitian Schrödinger dynamics with Hagedorn’s wave packets. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
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 Gupta, Shubhangi: Nonisothermal, Multiphase, Multicomponent Flows through Deformable Methane Hydrate Reservoirs. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
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 Neupert, Stephan: Foliations and the cohomology of moduli spaces of bounded global Gshtukas. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
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 Peter, Steffen: Algorithms for Robust and Fast Sparse Recovery – New Approaches Towards the Noise Folding Problem and the Big Data Challenge. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
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 Artina, Marco: Lagrangian Methods for Constrained NonConvex Minimizations and Applications in Fracture Mechanics. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Bernhart, German: Advances in financial engineering: Bondesson densities, the construction of MSMVE distributions, and the modeling of discrete cash dividends. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Borgwardt, Steffen: Data Analysis through Polyhedral Theory – From Land Consolidation to Diameters. Habilitation, 2015 more… BibTeX Full text (mediaTUM)
 Butz, Maximilian Josef: Kinetic limit for wave propagation in a continuous, weakly random medium – Selfaveraging and convergence to a linear Boltzmann equation. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
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 Chong, Carsten: TempoSpatial Stochastic Integral Processes: Theory and Applications. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Gruber, Lutz Fabian: Bayesian Modeling of General Multivariate Problems and HighDimensional Time Series. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
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 Keller, Johannes Friedrich: Quantum Dynamics on Potential Energy Surfaces – Simpler States and Simpler Dynamics. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
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 MüllerHermes, Alexander: Quantum Capacities and Entropy Production of Quantum Markov Chains. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Osberger, Horst: Fully variational Lagrangian discretizations for second and fourth order evolution equations. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Pieper, Konstantin: Finite element discretization and efficient numerical solution of elliptic and parabolic sparse control problems. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Sattlegger, David: Efficient Algorithms for Semiclassical Quantum Dynamics. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
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 Springer, Andreas: Efficient Higher Order Discontinuous Galerkin Time Discretizations for Parabolic Optimal Control Problems. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Tichmann, Karin Barbara: An implicit proximal method for motion segmentation. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Wechslberger, Georg: Automatic Contour Deformation of RiemannHilbert Problems. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
 Apel, Susanne: The Geometry of Brackets and the Area Principle. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Beuttenmüller, Dietmar: Approximation with respect to disc polynomials. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
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 Hamacher, Paul Jonas: The geometry of Newton strata in the reduction modulo p of Shimura varieties of PEL type. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Heinig, Peter Christian: Global consequences of local structure – Hamiltonbased flowlattices, logical limitlaws, and a measure on signmatrices. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Huber, Philipp: MathematischTechnische Optimierung von Verzahnungsgeometrien. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
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 Kirchner, Alana: Adaptive regularization and discretization for nonlinear inverse problems with PDEs. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Kohler, Dominic Christopher: StateDiscrete Probabilistic Methods for Partial Differential Equations. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Kruse, Florian: Interior point methods for optimal control problems with pointwise state constraints. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Leiseifer, Andreas David: Causal Localizations in Relativistic Quantum Mechanics. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Mai, JanFrederik: Multivariate exponential distributions with latent factor structure and related topics. Habilitation, 2014 more… BibTeX Full text (mediaTUM)
 Schepsmeier, Ulf: Estimating standard errors and efficient goodnessoffit tests for regular vine copula models. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Szehr, Oleg: Spectral Methods for Quantum Markov Chains. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Wagner, Julia Maria: Orthogonal polynomial systems and weighted Cesàro means. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Zhang, Ran: Efficient Parameter Estimation in the HighDimensional Inverse Problem of Seismic Tomography. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
 Albrecht, Sebastian: Modeling and numerical solution of inverse optimal control problems for the analysis of human motions. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Au Yeung, Yuen: Crystalline Order, Surface Energy Densities and Wulff Shapes: Emergence from Atomistic Models. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Bannör, Karl Friedrich: Incorporating parameter risk into derivatives prices – bidask pricing and calibration. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Barbarossa, Maria Vittoria: On a class of neutral equations with statedependent delay in population dynamics. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Bartsch, Christian: Particles and populations in random media. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Bauer, Alexander: Paircopula constructions for nonGaussian Bayesian networks. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Brechmann, Eike Christian: Hierarchical Kendall Copulas and the Modeling of Systemic and Operational Risk. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Eisenhofer, Sabine: A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Ferrazzano, Vincenzo: Turbulence modelling by timeseries methods – A nonparametric approach. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Frikel, Jürgen: Reconstructions in limited angle xray tomography: Characterization of classical reconstructions and adapted curvelet sparse regularization. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Fuchs, Florian: Spectral Analysis of HighFrequency ContinuousTime ARMA Models. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Gölgeli Matur, Meltem: Mathematical Modeling of Quorum Sensing: Two different approaches. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Hieber, Peter: Firstexit times and their applications in default risk management. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Ilg, Melanie: Defaultable term structure models: macroeconomic impact and valuation of complex credit and inflationlinked derivatives. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Kraus, Michael: Variational Integrators in Plasma Physics. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 König, Stefan M.: Complexity and Approximation of Fundamental Problems in Computational Convexity. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Lehl, Martin: Control of planar pendulum systems. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Reinhardt, Christian: Validated computation of connecting orbits in ordinary differential equations. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Stavropoulou, Faidra: Generalized Wiener expansions for individual based control: theory and applications. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Steinkohl, Christina Katharina: Statistical Modelling of Extremes in Space and Time Using MaxStable Processes. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Storath, Martin: Amplitude and sign decompositions by complex wavelets  Theory and applications to image analysis. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Stöber, Jakob: Regular Vine Copulas with the simplifying assumption, timevariation, and mixed discrete and continuous margins. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Ueltzhöfer, Florian Alexander Johann: On the estimation of jumps of continuoustime stochastic processes. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Würfl, Andreas: Spanning subgraphs of growing degree – A generalised version of the Blowup Lemma and its applications. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 Zhigun, Anna: Biofilm Models with Various Nonlinear Effects: Longtime Behavior of Solutions. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 von Loesch, Boris Tobias: A Class of TrustRegion Multilevel Methods. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
 DegenfeldSchonburg, Sina: Multipliers for Hypergroups – Concrete Examples, Application to Time Series. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Fink, Holger: Stochastic processes beyond semimartingales with application to interest rates, credit risk and volatility modeling. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Held, Stefan: Monogenic Wavelet Frames for Image Analysis. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Kochler, Michael: Random Walks in Random Environment: Random Orientations and Branching. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Kochler, Thomas: Cutoff and cookies  interacting walks in random environment. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Lindemann, Florian: Theoretical and Numerical Aspects of Shape Optimization with NavierStokes Flows. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Lindner, Silvia: Discrete Optimisation in Machine Learning  Learning of Bayesian Network Structures and Conditional Independence Implication. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Moser, Martin: Extremal Behavior of Multivariate Mixed Moving Average Processes and of Random Walks with Dependent Increments. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Roche, Thomas: Rate independent evolution processes on functions of bounded variation. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Schmidl, Daniel: Bayesian model inference in dynamic biological systems using Markov Chain Monte Carlo methods. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Straub, Sina: Transfer Operators in the Context of Orthogonal Polynomials. Dissertation, 2012 more… BibTeX Full text (mediaTUM)
 Amler, Thomas: Detection of particles transported in weakly compressible fluids – mathematical models, analysis, and simulations. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Benedix, Olaf: Adaptive Numerical Solution of State Constrained Optimal Control Problems. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Drude, Nicholas: Optimale Gestaltung von Strukturen elastischer Materialien durch die Topologieoptimierung mit Gewichtungsoperatoren. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Esmaeili, Habib: Parameter Estimation of Multivariate Lévy Processes. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Götz, Barbara: Valuation of multidimensional derivatives in a stochastic covariance framework. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Hepperger, Peter: Pricing and Hedging under HighDimensional JumpDiffusion Models using Partial Differential Equations. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Kluge, Sebastian: On the computation of fueloptimal paths in timedependent networks. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Koppen, Mario Johannes: Van der Waals forces in the context of nonrelativistic quantum electrodynamics. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Kröner, Axel: Numerical Methods for Control of Second Order Hyperbolic Equations. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Lein, Maximilian: Semiclassical Dynamics and Magnetic Weyl Calculus. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Onyango, Nelson Owuor: The Epidemiology of Childhood Related Diseases: – Stability Analysis and Optimal Control. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Orendt, Thorsten: Resolution of Geometric Singularities by Complex Detours  Modeling, Complexity and Application. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Perreiter, Eva: L1algebras on commutative hypergroups: Structure and properties arising from harmonic analysis. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Satzger, Thomas: Fast Marching Methods for Indefinite and Anisotropic Metrics. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Schlemm, Eckhard: Estimation of ContinuousTime ARMA Models and Random Matrices with Dependent Entries. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Sperl, Jonathan Immanuel: Optimized Intensity Modulation for Dose/Noise Reduction in Xray Computed Tomography. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Weigl, Tobias Marius: Eine strukturbasierte Indexanalyse differentialalgebraischer Gleichungen. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Wittmann, Dominik: Beyond Boolean Modeling in Systems Biology. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
 Borgwardt, Steffen Alexander: A Combinatorial Optimization Approach to Constrained Clustering. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Brandt, Stefan: Feedback Loops With Time Scales. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Erb, Wolfgang: Uncertainty principles on Riemannian manifolds. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Erhardt, Vinzenz: Modeling different dependence structures involving count data with applications to insurance, economics and genetics. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Hutzenthaler, Alexandra Elisabeth: Mathematical Models for CellCell Communication on Different Scales. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Kampfer, Andrea: Pattern formation of magnetic nanoparticles on surfaces. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Klingshirn, HansJoachim: Adaptive grids and numerical fluid simulations for scrapeoff layer plasmas. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Koltai, Péter: Efficient approximation methods for the global longterm behavior of dynamical systems  Theory, algorithms and examples. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Lang, Philipp: CMCTrinoids with Properly Embedded Annular Ends. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Mai, JanFrederik: Extendibility of MarshallOlkin distributions via Lévy subordinators and an application to portfolio credit risk. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 März, Thomas: First Order QuasiLinear PDEs with <i>BV</i> Boundary Data and Applications to Image Inpainting. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Neukamm, Stefan: Homogenization, linearization and dimension reduction in elasticity with variational methods. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Pykhteev, Oleg: Characterization of Acoustic Waves in MultiLayered Structures. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Roth, Lucia Barbara: Optimal Containment. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Sirch, Dieter Sebastian: Finite Element Error Analysis for PDEconstrained Optimal Control Problems: The Control Constrained Case Under Reduced Regularity. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
 Binder, Anna Katharina: Algorithms for Fields and an Application to a Problem in Computer Vision. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Böcker, Klaus: Quantifying Risk: Modelling and Estimation. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Böttcher, Julia: Embedding large graphs – The BollobásKomlós conjecture and beyond. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Chen, Dong: Acceleration of the Spatial Selective Excitation of MRI via Sparse Approximation. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Eder, Irmingard: First passage events and multivariate regular variation for dependent Lévy processes with Applications in Insurance. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Hmaidi, Ayoub: Modeling and Simulation of the ThermoAcoustic Instabilities of LowEmission Gas Turbines. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Höcht, Stephan: Determination and Valuation of Recovery Risk in CreditRisk Models. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Kamke, Tobias: Algorithms for the Computation of Invariant Rings. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Lebmeir, Peter: Feature Detection for Real Plane Algebraic Curves. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Markwardt, Stefan: Effiziente algorithmische Strukturerkennung in großen Datenmengen. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 MuhleKarbe, Johannes: On UtilityBased Investment, Pricing and Hedging in Incomplete Markets. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Stelzig, Philipp Emanuel: Homogenization of manybody structures subject to large deformations and noninterpenetration. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Veelken, Sonja: A New Relaxation Scheme for Mathematical Programs with Equilibrium Constraints: Theory and Numerical Experience. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 Vesenmayer, Bernhard: Efficient numerical solution of the varianceoptimal hedging problem in geometric Lévy models. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
 DelgadoEckert, Edgar Wilfried: Monomial Dynamical and Control Systems over a Finite Field and Applications to Agentbased Models in Immunology. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Ey, Kristine: On the Representation of Pnpositive definite Functions and Applications. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Grau, Andreas J.: Applications of LeastSquares Regressions to Pricing and Hedging of Financial Derivatives. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Jörg, Markus: kdisjunctive cuts and cutting plane algorithms for general mixed integer linear programs. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Kalender, Carolyn: Numerische Behandlung stationärer HamiltonJacobiGleichungen – Diskretisierung und Algorithmen. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Kolbe, Andreas: Valuation of mortgage products with stochastic prepaymentintensity models. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Krummeck, Vanessa: Multimediale, multicodale, multimodale und interaktive Komponenten in mathematischen Lernumgebungen. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Langfeld, Barbara: Discrete Tomography on Modules: Decomposition, Separation, and Uniqueness. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Ludwig, Christian: Variationelle Bildverbesserung mit BVFunktionalen: GammaKonvergenz und Algorithmen. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 LöschnerGreenberg, Kristina: Vector Preisach Modeling of Magnetic Hysteresis. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Ritter, Michael: Packing under Balancing Constraints. Applications in Semiconductor Design and Flight Scheduling. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Stadler, Tanja: Evolving Trees  Models for Speciation and Extinction in Phylogenetics. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
 Breun, Sylvia: Optimale Steuerung redundanter Roboter auf Mannigfaltigkeiten  Strukturanalyse und numerische Realisierung. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Haug, Stephan: Exponential COGARCH and other continuous time models – with applications to high frequency data. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Hofmaier, Frank: Orthogonal Polynomials – Interaction between Orthogonality in L^2spaces and Orthogonality in Reproducing Kernel Spaces. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Kohls, Martin: Über die Tiefe von Invariantenringen unendlicher Gruppen. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Pauwels, Arnd Philipp: Varianzoptimales Hedging in affinen Volatilitätsmodellen. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Rasch, Christian Mark Anton: Numerical Discretization of Static HamiltonJacobi Equations on Triangular Meshes. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Schanzer, Gerhard: Optimale Steuerung eines MehrfingerGreifers mit konkurrierenden Steuerungen unter Berücksichtigung von Elastizitäten. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Schöttle, Katrin: Robust Optimization with Application in Asset Management. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Stelzer, Robert Josef: Multivariate Continuous time stochastic volatility models driven by a Lévy process. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Stolte, Thomas: Stochastische Modellierung und numerische Minimierung in der Immunologie. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Wehrstedt, Jan Christoph: Formoptimierung mit Variationsungleichungen als Nebenbedingung und eine Anwendung in der Kieferchirurgie. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
 Clason, Christian: A direct method for the numerical time reversal of waves in a heterogeneous medium. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Dimova, Katya: Modeling the anomalous heat transport in a tokamak plasma – Discontinuity in the derivative of the heat conductivity coefficient. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Gerken, Tobias: On a Problem of Erdös in Combinatorial Geometry. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Götz, Markus: Zur mathematischen Modellierung und Numerik eines Gyrotron Resonators. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Kostadinov, Krassimir: Portfolio Credit Risk Modelling With HeavyTailed Risk Factors. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Kostadinova, Radostina Ilieva: Integrated risk management when the stock price follows an exponential Levy process. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Kuhn, Gabriel: On Dependence and Extremes. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Marquardt, Tina Marie: Fractional Lévy Processes, CARMA Processes and Related Topics. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Mauthner, Ulrich: Spaceadiabatic perturbation theory for DiracBloch electrons. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Mayeli, Azita: Discrete and Continuous Wavelet Transformations on the Heisenberg Group. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Schnabel, Hans Christoph: Zur Wohlgestelltheit des GursonModells. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Schreittmiller, Robert: Zur Approximation der Lösungen elliptischer Systeme partieller Differentialgleichungen mittels Finiter Elemente und H Matrizen. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Wild, Marie: Characterizing DiscreteTime Function Spaces. Dissertation, 2006 more… BibTeX Full text (mediaTUM)
 Engelhardt, Christoph: Raumkurven konstanter Krümmung, insbesondere Gewundene Kreise. Dissertation, 2005 more… BibTeX Full text (mediaTUM)
 Fischer, Georg: Qualitative Unschärferelationen und JacobiPolynome. Dissertation, 2005 more… BibTeX Full text (mediaTUM)
 Witterstein, Gabriele: Ein Konstruktionsalgorithmus einer Indexstruktur für Genome. Dissertation, 2005 more… BibTeX Full text (mediaTUM)
 Eberlein, Dominik: Topologische Methoden zur Analyse dynamischer Systeme. Dissertation, 2004 more… BibTeX Full text (mediaTUM)
 Ertel, Susanne: Adaptive Positionierung von Modellrändern in heterogenen Gebietszerlegungsverfahren. Dissertation, 2004 more… BibTeX Full text (mediaTUM)
 Ferrari, Patrik L: Shape fluctuations of crystal facets and surface growth in one dimension. Dissertation, 2004 more… BibTeX Full text (mediaTUM)
 Großkinsky, Stefan: Phase transitions in nonequilibrium stochastic particle systems with local conservation laws. Dissertation, 2004 more… BibTeX Full text (mediaTUM)
 Lasser, Caroline: Conical energy level crossings in molecular dynamics. Dissertation, 2004 more… BibTeX Full text (mediaTUM)
 Prokopenko, Sergiy: Hierarchical Binary Spatial Regression Models with Cluster Effects. Dissertation, 2004 more… BibTeX Full text (mediaTUM)
 Schaub, Meike: Numerische Integration steifer mechanischer Systeme mit impliziten RungeKuttaVerfahren. Dissertation, 2004 more… BibTeX Full text (mediaTUM)
 Käser, Martin Andreas: Adaptive Methods for the Numerical Simulation of Transport Processes. Dissertation, 2003 more… BibTeX Full text (mediaTUM)
 Vallentin, Frank: Sphere Covering, Lattices, and Tilings (in Low Dimensions). Dissertation, 2003 more… BibTeX Full text (mediaTUM)
 Weber, Jürgen : Analytische und numerische Untersuchungen zum nichtlinearen Problem der Grundwasserströmung mit freier Oberfläche. Dissertation, 2003 more… BibTeX Full text (mediaTUM)
 Bastert, Oliver: Stabilization Procedures and Applications. Dissertation, 2002 more… BibTeX Full text (mediaTUM)
 Betz, Volker: Gibbs measures relative to Brownian motion and Nelson's model. Dissertation, 2002 more… BibTeX Full text (mediaTUM)
 Emmer, Susanne: Optimal Portfolios with Bounded Downside Risks. Dissertation, 2002 more… BibTeX Full text (mediaTUM)
 Karpfinger, Christian: Über bewertete Dicksonsche Fastkörper. Dissertation, 2002 more… BibTeX Full text (mediaTUM)
 Kühn, Christoph: Shocks and Choices  an Analysis of Incomplete Market Models. Dissertation, 2002 more… BibTeX Full text (mediaTUM)
 Lintner, Michael: Lösung der 2D Wellengleichung mittels hierarchischer Matrizen. Dissertation, 2002 more… BibTeX Full text (mediaTUM)
 Taherian, Sayed Ghahreman: Koordinatisierung miquelscher BenzEbenen und ihre Anwendung in der Kryptologie. Dissertation, 2001 more… BibTeX Full text (mediaTUM)
 Vocke, Tanja: On the control of nonlinear dynamical systems. Dissertation, 2001 more… BibTeX Full text (mediaTUM)
 Bauer, Christian: On Linear Stability of the Bingham Poiseuille Flow. Dissertation, 1997 more… BibTeX
Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations
Mathematics Theses and Dissertations
Theses/dissertations from 2023 2023.
Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton
On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes
Deep Learning for Studying Materials Stability and Solving Thermodynamically Consistent PDES With Dynamic Boundary Conditions in Arbitrary Domains , Chunyan Li
Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner
Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng
Theses/Dissertations from 2022 2022
Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings
The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha
Structure Preserving ReducedOrder Models of Hamiltonian Systems , Megan Alice McKay
Tangled up in Tanglegrams , Drew Joseph Scalzo
Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith
Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson
Some Properties and Applications of Spaces of Modular Forms With ETAMultiplier , Cuyler Daniel Warnock
Theses/Dissertations from 2021 2021
Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington
Polynomials, Primes and the PTE Problem , Joseph C. Foster
Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat
A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara
Trimming Complexes , Keller VandeBogert
Multiple Frailty Model for Spatially Correlated IntervalCensored , Wanfang Zhang
Theses/Dissertations from 2020 2020
An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea
Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice
Rationality Questions and the Derived Category , Alicia Lamarche
Counting Number Fields by Discriminant , Harsh Mehta
Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen
Diameter of 3Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih
Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick
Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen
Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang
An EnsembleBased Projection Method and Its Numerical Investigation , Shuai Yuan
VariableOrder Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng
Theses/Dissertations from 2019 2019
Classification of NonSingular Cubic Surfaces up to einvariants , Mohammed Alabbood
On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark
A Development of Transfer Entropy in ContinuousTime , Christopher David Edgar
Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes
Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell
Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin
Numerical Methods for a Class of ReactionDiffusion Equations With Free Boundaries , Shuang Liu
An Implementation of the KapustinLi Formula , Jessica Otis
A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer
A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig
Successful Pressing Sequences in Simple PseudoGraphs , Hays Wimsatt Whitlatch
On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann
An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm
Dynamical Entropy of Quantum Random Walks , Duncan Wright
Unconditionally Energy Stable Linear Schemes for a TwoPhase Diffuse Interface Model with PengRobinson Equation of State , Chenfei Zhang
Theses/Dissertations from 2018 2018
Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed
Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai
Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran
Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman
A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna
Comparison of the Performance of Simple Linear Regression and Quantile Regression with NonNormal Data: A Simulation Study , Marjorie Howard
Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson
Graph Homomorphisms and Vector Colorings , Michael Robert Levet
Local Rings and Golod Homomorphisms , Thomas Schnibben
States and the Numerical Range in the Regular Algebra , James Patrick Sweeney
Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for MultiComponent Compressible Viscous Fluid Mixtures , Xueping Zhao
Theses/Dissertations from 2017 2017
On the Existence of NonFree Totally Reflexive Modules , J. Cameron Atkins
Subdivision of Measures of Squares , Dylan Bates
Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev
Convergence and Rate of Convergence of Approximate GreedyType Algorithms , Anton Dereventsov
Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey
Nonequispaced Fast Fourier Transform , David Hughey
Deep Learning: An Exposition , Ryan Kingery
A Family of Simple Codimension Two Singularities with Infinite CohenMacaulay Representation Type , Tyler Lewis
Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders
Theses/Dissertations from 2016 2016
On Crownfree Set Families, Diffusion State Difference, and Nonuniform Hypergraphs , Edward Lawrence Boehnlein
Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu
Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky
On a Constant Associated with the ProuhetTarryEscott Problem , Maria E. Markovich
Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short
Chebyshev Inversion of the Radon Transform , Jared Cameron Szi
Modeling of Structural Relaxation By A VariableOrder Fractional Differential Equation , Su Yang
Theses/Dissertations from 2015 2015
Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung
The Packing Chromatic Number of Random dregular Graphs , Ann Wells Clifton
Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner
Avoiding Doubled Words in Strings of Symbols , Michael Lane
A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin
Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh
Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith
Fast Methods for VariableCoefficient Peridynamic and NonLocal Diffusion Models , Che Wang
Modeling and Computations of Cellular Dynamics Using Complexfluid Models , Jia Zhao
Theses/Dissertations from 2014 2014
The NonExistence of a Covering System with all Moduli Distinct, Large and SquareFree , Melissa Kate Bechard
Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn
Independence Polynomials , Gregory Matthew Ferrin
Turán Problems on Nonuniform Hypergraphs , Jeremy Travis Johnston
On the Group of Transvections of ADEDiagrams , Marvin Jones
Fake Real Quadratic Orders , Richard Michael Oh
Theses/Dissertations from 2013 2013
Shimura Images of A Family of HalfIntegral Weight Modular Forms , Kenneth Allan Brown
Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having NonNegative Coefficients , Morgan Cole
Deducing Vertex Weights From Empirical Occupation Times , David Collins
Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler
Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove
Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy
Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington
The Weierstrass Approximation Theorem , LaRita Barnwell Hipp
The Compact Implicit Integration Factor Scheme For the Solution of AllenCahn Equations , Meshack K. Kiplagat
Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr
Study On CovolumeUpwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations , Rosalia Tatano
Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials , Daniel White
Theses/Dissertations from 2012 2012
A Computational Approach to the QuillenSuslin Theorem, BuchsbaumEisenbud Matrices, and Generic HilbertBurch Matrices , Jonathan Brett Barwick
Mathematical Modeling and Computational Studies for Cell Signaling , Kanadpriya Basu
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Home > Computational, Mathematical, and Physical Sciences > Mathematics Education > Theses and Dissertations
Mathematics Education Theses and Dissertations
Theses/dissertations from 2024 2024.
Rigorous Verification of Stability of Ideal Gas Layers , Damian Anderson
Documentation of Norm Negotiation in a Secondary Mathematics Classroom , Michelle R. Bagley
New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting
Theses/Dissertations from 2023 2023
Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales
Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff
Parents' Perceptions of the Importance of Teaching Mathematics: A QStudy , Ashlynn M. Holley
Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson
Theses/Dissertations from 2022 2022
Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll
Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon
Developing a Quantitative Understanding of USubstitution in FirstSemester Calculus , Leilani Camille Heaton Fonbuena
The Perception of AtRisk Students on Caring StudentTeacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper
Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby
Structural Reasoning with Rational Expressions , Dana Steinhorst
StudentCreated Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong
Theses/Dissertations from 2021 2021
Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams
You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer
Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens
Theses/Dissertations from 2020 2020
Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway
Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen
Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe
Theses/Dissertations from 2019 2019
Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson
Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson
Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis
“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross
Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark
Theses/Dissertations from 2018 2018
Addressing PreService Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason
How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job
Teacher Graphing Practices for Linear Functions in a CovariationBased College Algebra Classroom , Konda Jo Luckau
Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky
Theses/Dissertations from 2017 2017
Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard
Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard
Kyozaikenkyu: An InDepth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville
Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga
Theses/Dissertations from 2016 2016
The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis
Insight into Student Conceptions of Proof , Steven Daniel Lauzon
Theses/Dissertations from 2015 2015
Teacher Participation and Motivation inProfessional Development , Krystal A. Hill
Student Evaluation of Mathematical Explanations in anInquiryBased Mathematics Classroom , Ashley Burgess Hulet
English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill
Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich
Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts
Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson
Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke
Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise
Theses/Dissertations from 2014 2014
The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams
Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch
Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd
Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton
An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen
Theses/Dissertations from 2013 2013
Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo
Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau
Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc
Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele
Types of Questions that Comprise a Teacher's Questioning Discourse in a ConceptuallyOriented Classroom , Keilani Stolk
Theses/Dissertations from 2012 2012
Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call
Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons
Learning Within a ComputerAssisted Instructional Environment: Effects on Multiplication Math Fact Mastery and SelfEfficacy in ElementaryAge Students , Loraine Jones Hanson
Mathematics Teacher Time Allocation , Ashley Martin Jones
Theses/Dissertations from 2011 2011
How Student Positioning Can Lead to Failure in Inquirybased Classrooms , Kelly Beatrice Campbell
Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce
A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams
Theses/Dissertations from 2010 2010
Growth in Students' Conceptions of Mathematical Induction , John David Gruver
Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart
Thinking on the Brink: Facilitating Student Teachers' Learning Through IntheMoment Interjections , Travis L. Lemon
Understanding Teachers' Change Towards a ReformOriented Mathematics Classroom , Linnae Denise Williams
Theses/Dissertations from 2009 2009
A Comparison of Mathematical Discourse in Online and FacetoFace Environments , Shawn D. Broderick
The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling
Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak
Theses/Dissertations from 2008 2008
Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon
How EighthGrade Students Estimate with Fractions , Audrey Linford Hanks
Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill
Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson
Mathematics Student Teaching in Japan: A MultiCase Study , Allison Turley Shwalb
Theses/Dissertations from 2007 2007
Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff
What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff
Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow
One Problem, Two Contexts , Danielle L. Gigger
The Main Challenges that a TeacherinTransition Faces When Teaching a High School Geometry Class , Greg Brough Henry
Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer
Theses/Dissertations from 2006 2006
How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras
Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standardsbased Curriculum Students and NonStandardsbased Curriculum Students? , Rebekah Loraine Genz
The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze
Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing
What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb
Theses/Dissertations from 2005 2005
Fraction Multiplication and Division Image Change in PreService Elementary Teachers , Jennifer J. Cluff
An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen
Theses/Dissertations from 2004 2004
Reasoning About Motion: A Case Study , Tiffini Lynn Glaze
Theses/Dissertations from 2003 2003
An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of SelfAs Mathematics Expert , Julie Stafford
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The Rubik's cube is turning 50. This is how the iconic puzzle really works
Emily Kwong
Hannah Chinn
Rebecca Ramirez
Over 500 million Rubik's Cubes have been sold. vitranc via Getty Images hide caption
The Rubik's Cube was created 50 years ago by Hungarian inventor Ernő Rubik.
Over 500 million of them have been sold. Needless to say, the 3D puzzle has captured the imagination of countless students around the world.
It has also inspired all kinds of competition, everything from solving blindfolded to tests of speed — and even with your feet .
But no matter the cube, the process of solving one involves math – specifically, algorithms. Roman Chavez loved Rubik's Cubes so much, he founded the Jr. Oakland Cubers in high school. Now a mathematics student at Cornell University, Roman talks to Short Wave host Emily Kwong about how to solve the cube and what life lessons he's learned from the cube.
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A dynamic overflow triage model in an outpatient queuing system
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Junxiang Li, Yiling Lu, A dynamic overflow triage model in an outpatient queuing system, IMA Journal of Management Mathematics , Volume 35, Issue 2, April 2024, Pages 301–320, https://doi.org/10.1093/imaman/dpad027
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Accepted by: M. Zied Babai
In the medical service system, when the number of expert seats is in short supply, it is difficult to make full use of hospital resources by the traditional queuing method. Without changing the existing resources, an overflow model with triage in a Markov queuing system is established by overflowing a part of patients in the expert queue into the general queue under a certain condition to allocate reasonably the capacity of each outpatient. The numerical simulation using ProModel, a simulation software, shows that the average queue length, waiting time and other service indices are better than the traditional models.
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Very short PhD Thesis by famous people [closed]
I read that John Nash had a very short PhD Dissertation. A mere 27 pages. See this link:
http://www.princeton.edu/mudd/news/faq/topics/NonCooperative_Games_Nash.pdf
Are there other famous people with such short PhD theses? Anyone breaks this 27 page record?
 1 I can't for the life of me find a reference at this point, but I remember reading that Alzheimer's thesis was 11 pages. (but, you know, different times and such) – xLeitix Commented May 26, 2015 at 7:58
 2 Assuming it is a math thesis, this has been answered at mathoverflow.net/questions/54775/… . There is a reference in that question to a 9 page thesis. – StrongBad Commented May 26, 2015 at 8:00
 2 I do not see how this is going to be anything but a random list of short theses with little value to anyone. – StrongBad Commented May 26, 2015 at 8:03
 @StrongBad: I agree, asking for the shortest PhD thesis would be a way to limit the list, as only answers beating the current leader would be acceptable (and such questions do work on many Stack Exchanges), however things get problematic here as there is the another diffuse criterion of fame (unless one argues that having the shortest PhD thesis in history alone suffices to make you famous). – Wrzlprmft ♦ Commented May 26, 2015 at 9:42
 2 @curious_cat no, the theses have value, what I do not see is the value of listing them. – StrongBad Commented May 26, 2015 at 9:51
Barry Mazur's thesis "On Embeddings of Spheres" runs 17 pages, as far as I can tell from the paywalled source here: http://link.springer.com/article/10.1007%2FBF02559532
 3 There is some debate about that over at MO.SE with a page count as low as 5 and as high as 30. – StrongBad Commented May 26, 2015 at 8:01
Not the answer you're looking for? Browse other questions tagged phd thesis .
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I believe the shortest PhD thesis is of Burt Totaro "Milnor Ktheory is the simplest part of algebraic Ktheory", 12 pages. Milnor Ktheory is the simplest part of algebraic Ktheory, Ph.D. thesis, University of California, Berkeley, 1989; published as: KTheory 6 (1992), 177189 ( Portico archived version ). Burt Totaro's webpage at Cambridge ...
Math can be hard and tedious resulting in very long papers. The 1995 proof of Fermat's last Theorem was 108 pages long. But math can also be short. Lander and Parkin's paper about a conjecture by Euler (related to Fermat's last Theorem), is probably the dream of everyone ever written a paper: It answers an interesting and important ...
When John Nash wrote 'Non Cooperative Games,' his Ph.D. dissertation at Princeton in 1950, the text of his thesis (read it online) was brief. It ran only 26 pages. And more particularly, it was light on citations.
Interestingly, some of the world's shortest PhD theses / dissertations also count among the most famous ones at the same time. Here are the Top 5 we could identify:
A Refinement of a Theorem of J. E. Littlewood In [1], J. E. Littlewood raises the question of how short a doctoral dissertation in mathematics could in principle be,1 and proposes the precise answer: "Two sentences long." He proves this assertion by pointing out that two sentences is a lower bound, since any thesis in mathematics must contain at least the statement of one theorem and its ...
Dissertations Most Harvard PhD dissertations from 2012 forward are available online in DASH, Harvard's central openaccess repository and are linked below. Many older dissertations can be found on ProQuest Dissertation and Theses Search which many university libraries subscribe to. Harvard University Department of Mathematics Science Center Room 325 1 Oxford Street Cambridge, MA 02138 USA ...
Advisor: Daniel HalpernLeistner. First Position: Postdoc at the Institution for Advanced Study and Princeton. Max Lipton. Thesis: Dynamical Systems in Pure Mathematics. Advisor: Steven Strogatz. First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology. Elise McMahon.
The shortest possible doctoral thesis in mathematics has no sentences at all. As a way of a proof we giv e the celebrated example of Euler's discovery of the composite character
PhD Theses 2016. Giuseppe Sellaroli. Noncompact groups, tensor operators and applications to quantum gravity. Robert H. Jonsson. Decoupling of Information Propagation from Energy Propagation. John Lang. Mathematical Modelling of Social Factors in Decision Making Processes at the Individual and Population Levels.
Mathematics PhD theses A selection of Mathematics PhD thesis titles is listed below, some of which are available online:
John Nash's PhD thesis on "NonCooperative Games" is a legendary document in the field of mathematics. Spanning just 26 pages, it's among the shortest PhD dissertations but don't let its brevity fool you.
Title: Properties of Shortest Length Curves inside Semialgebraic Sets and Problems related to an Erdös Conjecture concerning Lattice Cubes. Thesis Advisor: Robert Hardt. Part I: Properties of Shortest Length Curves inside Semialgebraic Sets. This part concerns an analytical stratification question of real algebraic and semi algebraic sets.
2023 Qingci An (F. Lu)Identifiability and dataadaptive RKHS Tikhonov regularization in nonparametric learning problems Letian Chen (J. Bernstein)On Mean Curvature Flows coming out of Cones Ben Dees (C. Mese)On the Singular Sets of Harmonic Maps into FConnected Complexes Lili He (H. Lindblad)The linear stability of weakly charged and slowly rotating Kerr Newman family of charged black holes ...
About fifteen to twenty doctoral students complete their doctoral thesis at the Department of Mathematics every year. Below you will find all doctoral theses that have been published on mediaTUM, TUM's publication server.
What is the level of work expected in the masters thesis of a student of maths? I know some people's works are worthy of publications while some involve only studying some topic in detail from a bo...
Theses/Dissertations from 2022. PDF. Covering Systems and the Minimum Modulus Problem, Maria Claire Cummings. PDF. The Existence and Quantum Approximation of Optimal Pure State Ensembles, Ryan Thomas McGaha. PDF. Structure Preserving ReducedOrder Models of Hamiltonian Systems, Megan Alice McKay. PDF.
THE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENT OF MATHEMATICS THE SHORTEST VECTOR PROBLEM IN IDEAL LATTICES KHANH (SIMON) T. HUYNH SPRING 2019 A thesis submitted in partial fulﬁllment of the requirements for baccalaureate degree in Mathematics with honors in Mathematics Reviewed and approved* by the following: A. Kirsten Eisentr¨ager Professor of Mathematics Associate ...
Brigham Young University's open access repository's section for electronic theses and dissertations concerning mathematics education.
Now a mathematics student at Cornell University, Roman talks to Short Wave host Emily Kwong about how to solve the cube and what life lessons he's learned from the cube.
In the medical service system, when the number of expert seats is in short supply, it is difficult to make full use of hospital resources by the traditional queuing method.
Are there other famous people with such short PhD theses? Anyone breaks this 27 page record? phd thesis Share Improve this question asked May 26, 2015 at 7:44 curious_cat 1,254 10 16 1 I can't for the life of me find a reference at this point, but I remember reading that Alzheimer's thesis was 11 pages. (but, you know, different times and such)  xLeitix May 26, 2015 at 7:58 2
A grassroots network of TikTok creators are using their skill at playful video collages to build Kamala Harris a viral online political powerhouse from scratch.