shortest thesis in mathematics

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What is the shortest Ph.D. thesis? [closed]

The question is self-explanatory, 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 urban-legend tendencies: someone will say, "So-and-so'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 big-list 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 follow-up 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 urban-legendy 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.history-overview
• 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/10.1016/0040-9383(66)90025-5 ), 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 4-page Topology paper, vol. 5 (1966), 343-346. 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.uni-goettingen.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 K-theory is the simplest part of algebraic K-theory", 12 pages.

Milnor K-theory is the simplest part of algebraic K-theory, Ph.D. thesis, University of California, Berkeley, 1989; published as: K-Theory 6 (1992), 177-189 ( 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 K-theory is the simplest part of algebraic K-theory, Ph.D. thesis, University of California, Berkeley, 1989 and K-Theory 6 (1992), 177-189 $\endgroup$ –  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 K-theory's format) :) $\endgroup$ –  Mariano Suárez-Álvarez Commented Feb 8, 2011 at 17:45
• 15 $\begingroup$ Totaro's 1989 thesis is titled "K-theory 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 2-line 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 Hanche-Olsen 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 ( twenty-one 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 Bauer-Mengelberg 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 60-101 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 Suárez-Álvarez 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 zero-word 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.

If you would like to sign up for Open Culture’s free email newslet­ter,  please find it here . Or fol­low our posts on Threads , Face­book , BlueSky or Mastodon .

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Note: An ear­li­er ver­sion of this post appeared on our site in June, 2015.

Relat­ed Con­tent:

The Short­est-Known Paper Pub­lished in a Seri­ous Math Jour­nal: Two Suc­cinct Sen­tences

The World Record for the Short­est Math Arti­cle: 2 Words

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by OC | Permalink | Comments (2) |

Related posts:

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 near-per­fect 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 double-spaced.” [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: Non-Cooperative 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 K-Theory is the Simplest Part of Algebraic K-Theory (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 open-access 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 2010-Present

Emily Dautenhahn Thesis: Heat kernel estimates on glued spaces Advisor: Laurent Saloff-Coste 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 non-locally 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 Wentworth-Nice Thesis: Finite Groups, Polymatroids, and Error-Correcting 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 start-up in the math education technology space

Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel Halpern-Leistner 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 Quasi-Invariants 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 Saloff-Coste 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 Near-Critical 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 K-theory 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: Long-jump random walks on finite groups Advisor: Laurent Saloff-Coste 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 Kazhdan-Lusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota

Pak-Hin 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 Urbana-Champaign

Shihao Xiong Thesis: Forcing Axioms For Sigma-Closed 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 Wisconsin-Madison

Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent Saloff-Coste First Position: Visiting Assistant Professor, Department of , Cornell University

Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent Saloff-Coste First Position: Data Scientist, Jet.com

Ian Pendleton Thesis:  The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds 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 bi-parameter flag paraproducts and bi-parameter stopping-time 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 Kazhdan-Lusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto

Kelsey Houston-Edwards Thesis:  Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent Saloff-Coste 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 non-σ-scattered 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 Chern-Simons 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

Ying-Ying Tran Thesis:  Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher

Drew Zemke Thesis:  Surfaces in Three- and Four-Dimensional 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 Post-doc Fellow, Institut de Recherche Mathématique de Rennes

Iian Smythe Thesis: Set theory in infinite-dimensional 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 cd-index Advisor: Edward Swartz First position: Visiting Professor - Centre College, Kentucky

Wai-kit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University

Lucien Clavier Thesis: Non-affine 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 non-Levi 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: Start-up

Aaron Palmer Thesis: Incompressibility and Global Injectivity in Second-Gradient Non-Linear 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: Vector-Valued 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 3-Manifolds 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: Language-based 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 Quasi-Invariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft

Chikwong Fok Thesis: The Real K-theory 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: LPLP-Estimates 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 Cohen-Macaulay 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: Bi-parameter 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 semi-parabolic 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 Saloff-Coste 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 Completecd-Index 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: Degree-Theoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison

Ri-Xiang 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 Non-commutative 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 Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind

Ho Hon Leung  Thesis: K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory 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 Saloff-Coste First position: Lecturer professor at Chiang Mai University, Thailand

Russ Thompson  Thesis: Random Walks and Subgroup Geometry Advisor: Laurent Saloff-Coste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute

Gwyneth Whieldon Thesis: Betti Numbers of Stanley-Reisner 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 Second-Order 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 Lenoir-Rhyne 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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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 Fisher-Hartwig Symbols and Their Double-Scaling 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 sub-seasonal 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 two-layer model of geophysical fluid dynamics

André Macedo –  Local-global 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 Self-Assembly 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 convective-scale 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 Non-Divergence Elliptic Systems of Partial Differential Equations

Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)

Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)

Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)

Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)

Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)

Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)

Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)

Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)

Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)

Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)

Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)

Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)

Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)

Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)

Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)

Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)

Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)

Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)

Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)

Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)

Mark Parsons - Mathematical Modelling of Evolving Networks

Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring

David Gilbert - Analysis of large-scale atmospheric flows

Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)

Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)

Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)

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 (PDF-1.05MB)

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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

24 pages – John Nash: Non-Cooperative Games (1950)

John Nash’s PhD thesis on “Non-Cooperative 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 K-Theory is the Simplest Part of Algebraic K-Theory (1992)

Burt Totaro’s thesis, “Milnor K-Theory is the Simplest Part of Algebraic K-Theory,” presented in 1992, marks a significant contribution to mathematical science.

In this work, Totaro explored the depths of K-Theory, a field that intertwines algebra and topology, providing insights into the structure and classification of algebraic varieties.

His focus on Milnor K-Theory, a more approachable segment of the broader Algebraic K-Theory, 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 K-Theory, 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 Semi-algebraic Sets and Problems related to an Erdös Conjecture concerning Lattice Cubes Thesis Advisor: Robert Hardt

Part I: Properties of Shortest Length Curves inside Semi-algebraic 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 sub-analytic sets, following the idea of Lojasiewicz’s [ 5 ] triangulation of semi-analytic sets in 1964. During the same year, Hardt [ 4 ] also proved the triangulation result for sub-analytic sets by inventing an- other method. Since any semi-algebraic set is also semi-analytic, thus is sub-analytic, both Hironaka and Hardt’s results showed that any semi-algebraic 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 semi-algebraic 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 semi-algebraic 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 two-dimensional version of this problem looking for patterns that might be useful for generalizing to the three-dimensional 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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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.

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• Bamberger, Stefan Julian Bernhard: Representing and Recovering Structured High-Dimensional 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 structure-preserving discretization. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
• Brück, Florian: Exchangeable Minimum-Infinitely Divisible Sequences: Characterization, Simulation And A Detour To Model Selection. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
• Bäumler, Johannes: Behavior of long-range 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 time-dependent density functional theory. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
• Fritz, Julia: On Generalized Nash Equilibrium Problems in Infinite-Dimensional Spaces: Existence, Regularized Nikaido-Isoda 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)
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• 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 multi-parameter 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 Ill-posed Machine Learning Problems: Bridging Least Squares Methods with (Non-)convex Algorithms. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
• Melnyk, Oleh: Phase Retrieval from Short-Time Fourier Measurements and Applications to Ptychography. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
• Miller, Gregor M.: Tailored statistical methodology for large-scale registry-based clinical data to optimize online risk prediction. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
• Musundi, Beryl Onyuma: Multi-scale Modeling of Cholera: Linking Within-host and Between-host Dynamics. Dissertation, 2023 more… BibTeX Full text (mediaTUM)
• Rixner, Maximilian: Physics-Informed and Data-Driven 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 Consensus-based 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 multi-marginal optimal transport – From a convex-geometric 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: Multi-omics 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 single-cell immunology. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
• Fritz, Marvin: Well-posedness of nonlocal and mixed-dimensional phase-field 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 single-cell 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)
• Raimúndez Álvarez, Elba: Efficient Bayesian parameter estimation applied to mechanistic models of gastric cancer signaling. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
• Rathod, Abhishek: Algorithms in Discrete Morse Theory and Combinatorial Topology. Dissertation, 2022 more… BibTeX Full text (mediaTUM)
• 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 Deligne-Lusztig 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)
• Tsigonias-Dimitriadis, 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 Low-Input Gene Expression: Linking Single-Cell 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: Spatio-temporal 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: Goodness-of-fit 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 PDE-Constrained 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 Particle-in-Cell 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 semi-quantitative 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 mixed-effect 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)
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• Criens, David Benjamin Michael: Essays on Stochastic Processes and their Applications. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
• Drzisga, Daniel: Accelerating Isogeometric Analysis and Matrix-free 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, Yi-Min: Quantum algorithms for quantum many-body 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: Min-Sum Set Cover, OR-Scheduling, and Related Problems. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
• Haubner, Johannes: Shape Optimization for Fluid-Structure 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)
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• 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^p-Wasserstein and flux-limited gradient flows: Entropic discretization, convergence analysis and numerics. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
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• Ye, Zi: Discrete Spin Geometry for Surfaces. Dissertation, 2020 more… BibTeX Full text (mediaTUM)
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• Ballnus, Benjamin: Development and Evaluation of Sampling-based Parameter Estimation Methods for Dynamic Biological Processes. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
• Barthel, Nicole: Vine based models for multivariate volatility time-series and time-to-event 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)
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• Bluhm, Andreas: Compression and measurements in quantum information theory. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
• Büttner, Maren: Statistical data integration for single-cell RNA-sequencing - 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: Simulation-based estimation of time series and stochastic volatility processes. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
• Duell, Maximilian: Non-local methods in Haag-Ruelle scattering theory. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
• Garreis, Sebastian: Optimal Control under Uncertainty: Theory and Numerical Solution with Low-Rank Tensors. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
• Ghiglione, Viviana: Switching Components in Discrete Tomography: Characterization, Constructions, and Number-Theoretical 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)
• Hüttner, Amelie Angelika: Selected topics in credit risk: Realistic modeling of correlations and new pricing approaches for credit products. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
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• Latz, Jonas: Exploring and exploiting hierarchies in Bayesian inverse problems. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
• Loos, Carolin: Data-driven 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 Lévy-driven random fields. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
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• Singhammer, Korbinian Ferdinand: Optimal Control of Stationary Fluid-Structure Interaction with Partitioned Methods. Dissertation, 2019 more… BibTeX Full text (mediaTUM)
• Stadler, Eva Maria: Transport equations and plasmid-induced 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: Energy-Corrected 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: Stroke-based 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 time-optimal 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 field-aligned 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 – Max-linear models on directed acyclic graphs. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
• Hashagen, Anna-Lena Karolyn: Symmetry Methods in Quantum Information Theory. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
• Huber, Markus: Massively parallel and fault-tolerant multigrid solvers on peta-scale 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 Super-resolution on Special Manifolds. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
• Sigl, Juliane: Iteratively Reweighted Least Squares - Nonlinear Regression and Low-Dimensional 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: Non-standard 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)
• Weidner, Felizitas M. R.: Frogs and Branching Random Walks. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
• von Soosten, Per: Hierarchical Random Matrices and Operators. Dissertation, 2018 more… BibTeX Full text (mediaTUM)
• Buhl, Sven: Statistical Modelling and Estimation of Space-Time Extremes. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Denner, Andreas: Coherent structures and transfer operators. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• El Behi-Gornostaeva, Elena: Well-posedness 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 Non-Stationarity. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Failer, Lukas: Optimal Control of Time-Dependent Nonlinear Fluid-Structure 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)
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• 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: D-vine 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)
• Mendoza, Laura: A new approach discretising the 2D poloidal plane of fusion devices. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
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• Mund, Anne: Modelling quorum sensing evolutionary dynamics in spatially structured bacterial populations. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Müller, Dominik Thomas: Selection of Sparse Vine Copulas in Ultra High Dimensions. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Ramsauer, Franz Hubert: Estimation of factor models with incomplete data and their applications. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Ruf, Matthias: Discrete-to-continuum limits and stochastic homogenization of ferromagnetic surface energies. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Schaar, Katharina Elena: Fundamental Properties of Phirotopes – Duality, Chirotopality, Realisability, Euclideaness. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Schmidt, Tina Janne: On the Minimum Bisection Problem in Tree-Like and Planar Graphs – Structural and Algorithmic Results. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Schulz, Thorsten: Stochastic dependencies in derivative pricing: Decoupled BNS-volatility, sequential modeling of jumps, and extremal WWR. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Troppmann, Stephanie: Non-Hermitian Schrödinger dynamics with Hagedorn’s wave packets. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Wunderlich, Linus Maximilian: Hybrid Finite Element Methods for Non-linear and Non-smooth Problems in Solid Mechanics. Dissertation, 2017 more… BibTeX Full text (mediaTUM)
• Bittracher, Andreas: The generating structure of spatial conformation dynamics. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Blasi, Thomas: Data-driven statistical learning to model cellular heterogeneity. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Bongini, Mattia: Sparse Optimal Control of Multiagent Systems. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
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• Feigelman, Justin: Stochastic and deterministic methods for the analysis of Nanog dynamics in mouse embryonic stem cells. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Gaß, Maximilian: PIDE methods and concepts for parametric option pricing. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Gupta, Shubhangi: Non-isothermal, Multi-phase, Multi-component Flows through Deformable Methane Hydrate Reservoirs. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Haghverdi, Laleh: Geometric Diffusions for Reconstruction of Cell Differentiation Dynamics. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Horger, Thomas: Complexity Reduction for Finite Element Methods with Applications to Eigenvalue Problems. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Hroß, Sabrina: Parameter estimation and uncertainty quantification for image based systems biology. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Kahler, Stefan Alexander: Characterizations of Orthogonal Polynomials and Harmonic Analysis on Polynomial Hypergroups. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Kech, Michael: Constrained Quantum Tomography. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Klebanov, Ilja: Approximation of PDEs with Underlying Continuity Equations. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
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• Kratzer, Michael Christoph: Local methods for global and stochastic problems in optimal control. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Meinel, Martin: Distributed and event-triggered optimization in multi-agent networks. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Milzarek, Andre: Numerical methods and second order theory for nonsmooth problems. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Neupert, Stephan: Foliations and the cohomology of moduli spaces of bounded global G-shtukas. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Neykova, Daniela: Optimal Investment Strategies under Affine Markov-Switching Models – Theory, Examples and Implementation. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
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• Schreiber, Alex Joachim Ernst: Dynamic programming with radial basis functions and Shepard's method. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Selch, Daniela Anna: A multivariate Cox process with simultaneous jump arrivals and its application in insurance modelling. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Silbernagl, Matthias: A Polyhedral Analysis of Start-up Process Models in Unit Commitment Problems. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Weiß, Thomas: Reflected Brownian motions in the KPZ universality class. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Zinsl, Jonathan Simon: Systems of Evolution Equations with Gradient Flow Structure. Dissertation, 2016 more… BibTeX Full text (mediaTUM)
• Artina, Marco: Lagrangian Methods for Constrained Non-Convex 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)
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• Butz, Maximilian Josef: Kinetic limit for wave propagation in a continuous, weakly random medium – Self-averaging and convergence to a linear Boltzmann equation. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Böhm, Christian: Efficient Inversion Methods for Constrained Parameter Identification in Full-Waveform Seismic Tomography. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Chong, Carsten: Tempo-Spatial Stochastic Integral Processes: Theory and Applications. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Gruber, Lutz Fabian: Bayesian Modeling of General Multivariate Problems and High-Dimensional Time Series. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Henneke, Felix: Sparse Time-Frequency Control of Bilinear Quantum Systems. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Illner, Katrin: Probabilistic blind source separation for data with network structures. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Keller, Johannes Friedrich: Quantum Dynamics on Potential Energy Surfaces – Simpler States and Simpler Dynamics. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Keuthen, Moritz: Second Order Shape Optimization with Geometric Constraints. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Kiniger, Bernhard: Error estimates for finite element methods in shape optimization. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Krayzler, Mikhail: Analytical pricing of Variable Annuities. Dissertation, 2015 more… BibTeX
• Köppl, Tobias Thomas: Multi-scale modeling of flow and transport processes in arterial networks and tissue. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• Müller-Hermes, 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)
• Seifert, Miriam Isabel: Conditional extreme value analysis for random vectors using polar representations. Dissertation, 2015 more… BibTeX Full text (mediaTUM)
• 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 Riemann-Hilbert 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)
• Freiherr von Gagern, Martin: Creating Hyperbolic Ornaments – Algorithmic and Interactive Methods. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
• 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 – Hamilton-based flow-lattices, logical limit-laws, and a measure on sign-matrices. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
• Huber, Philipp: Mathematisch-Technische Optimierung von Verzahnungsgeometrien. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
• Jüstel, Dominik: Radiation for the Analysis of Molecular Structures with Non-Crystalline Symmetry: Modelling and Representation Theoretic Design. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
• Kirchner, Alana: Adaptive regularization and discretization for nonlinear inverse problems with PDEs. Dissertation, 2014 more… BibTeX Full text (mediaTUM)
• Kohler, Dominic Christopher: State-Discrete 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, Jan-Frederik: Multivariate exponential distributions with latent factor structure and related topics. Habilitation, 2014 more… BibTeX Full text (mediaTUM)
• Schepsmeier, Ulf: Estimating standard errors and efficient goodness-of-fit 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 High-Dimensional 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 – bid-ask pricing and calibration. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
• Barbarossa, Maria Vittoria: On a class of neutral equations with state-dependent 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: Pair-copula constructions for non-Gaussian 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 time-series methods – A non-parametric approach. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
• Frikel, Jürgen: Reconstructions in limited angle x-ray tomography: Characterization of classical reconstructions and adapted curvelet sparse regularization. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
• Fuchs, Florian: Spectral Analysis of High-Frequency Continuous-Time 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: First-exit 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 inflation-linked 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 Max-Stable 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, time-variation, and mixed discrete and continuous margins. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
• Ueltzhöfer, Florian Alexander Johann: On the estimation of jumps of continuous-time stochastic processes. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
• Würfl, Andreas: Spanning subgraphs of growing degree – A generalised version of the Blow-up Lemma and its applications. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
• Zhigun, Anna: Biofilm Models with Various Nonlinear Effects: Long-time Behavior of Solutions. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
• von Loesch, Boris Tobias: A Class of Trust-Region Multilevel Methods. Dissertation, 2013 more… BibTeX Full text (mediaTUM)
• Degenfeld-Schonburg, 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 Navier-Stokes 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 multi-dimensional derivatives in a stochastic covariance framework. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
• Hepperger, Peter: Pricing and Hedging under High-Dimensional Jump-Diffusion Models using Partial Differential Equations. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
• Kluge, Sebastian: On the computation of fuel-optimal paths in time-dependent networks. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
• Koppen, Mario Johannes: Van der Waals forces in the context of non-relativistic 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: L1-algebras 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 Continuous-Time 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 X-ray Computed Tomography. Dissertation, 2011 more… BibTeX Full text (mediaTUM)
• Weigl, Tobias Marius: Eine strukturbasierte Indexanalyse differential-algebraischer 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 Cell-Cell 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, Hans-Joachim: Adaptive grids and numerical fluid simulations for scrape-off layer plasmas. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
• Koltai, Péter: Efficient approximation methods for the global long-term behavior of dynamical systems -- Theory, algorithms and examples. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
• Lang, Philipp: CMC-Trinoids with Properly Embedded Annular Ends. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
• Mai, Jan-Frederik: Extendibility of Marshall-Olkin distributions via Lévy subordinators and an application to portfolio credit risk. Dissertation, 2010 more… BibTeX Full text (mediaTUM)
• März, Thomas: First Order Quasi-Linear 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 Multi-Layered 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 PDE-constrained 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 Bollobás-Komlós 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 Thermo-Acoustic Instabilities of Low-Emission Gas Turbines. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
• Höcht, Stephan: Determination and Valuation of Recovery Risk in Credit-Risk 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)
• Muhle-Karbe, Johannes: On Utility-Based Investment, Pricing and Hedging in Incomplete Markets. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
• Stelzig, Philipp Emanuel: Homogenization of many-body 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 variance-optimal hedging problem in geometric Lévy models. Dissertation, 2009 more… BibTeX Full text (mediaTUM)
• Delgado-Eckert, Edgar Wilfried: Monomial Dynamical and Control Systems over a Finite Field and Applications to Agent-based Models in Immunology. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
• Ey, Kristine: On the Representation of Pn-positive definite Functions and Applications. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
• Grau, Andreas J.: Applications of Least-Squares Regressions to Pricing and Hedging of Financial Derivatives. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
• Jörg, Markus: k-disjunctive cuts and cutting plane algorithms for general mixed integer linear programs. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
• Kalender, Carolyn: Numerische Behandlung stationärer Hamilton-Jacobi-Gleichungen – Diskretisierung und Algorithmen. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
• Kolbe, Andreas: Valuation of mortgage products with stochastic prepayment-intensity 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 BV-Funktionalen: Gamma-Konvergenz und Algorithmen. Dissertation, 2008 more… BibTeX Full text (mediaTUM)
• Löschner-Greenberg, 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^2-spaces 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: Varianz-optimales Hedging in affinen Volatilitätsmodellen. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
• Rasch, Christian Mark Anton: Numerical Discretization of Static Hamilton-Jacobi Equations on Triangular Meshes. Dissertation, 2007 more… BibTeX Full text (mediaTUM)
• Schanzer, Gerhard: Optimale Steuerung eines Mehrfinger-Greifers 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 Heavy-Tailed 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: Space-adiabatic perturbation theory for Dirac-Bloch 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 Gurson-Modells. 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 Discrete-Time 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 Jacobi-Polynome. 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 Runge-Kutta-Verfahren. 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 Benz-Ebenen 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 Reduced-Order 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 ETA-Multiplier , 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 Interval-Censored , 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 3-Colorable 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 Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan

Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng

Theses/Dissertations from 2019 2019

Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood

On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark

A Development of Transfer Entropy in Continuous-Time , 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 Reaction-Diffusion Equations With Free Boundaries , Shuang Liu

An Implementation of the Kapustin-Li 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 Pseudo-Graphs , 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 Two-Phase Diffuse Interface Model with Peng-Robinson 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 Non-Normal 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 Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao

Theses/Dissertations from 2017 2017

On the Existence of Non-Free 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 Greedy-Type 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 Cohen-Macaulay Representation Type , Tyler Lewis

Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders

Theses/Dissertations from 2016 2016

On Crown-free Set Families, Diffusion State Difference, and Non-uniform 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 Prouhet-Tarry-Escott 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 Variable-Order 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 d-regular 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 Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang

Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao

Theses/Dissertations from 2014 2014

The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard

Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn

Independence Polynomials , Gregory Matthew Ferrin

Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston

On the Group of Transvections of ADE-Diagrams , Marvin Jones

Fake Real Quadratic Orders , Richard Michael Oh

Theses/Dissertations from 2013 2013

Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown

Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative 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 Allen-Cahn Equations , Meshack K. Kiplagat

Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr

Study On Covolume-Upwind 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 Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch 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 Q-Study , 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 U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena

The Perception of At-Risk Students on Caring Student-Teacher 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

Student-Created 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 Pre-Service 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 Covariation-Based 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 In-Depth 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 anInquiry-Based 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 Conceptually-Oriented 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 Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson

Mathematics Teacher Time Allocation , Ashley Martin Jones

Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based 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 In-the-Moment Interjections , Travis L. Lemon

Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams

Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face 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 Eighth-Grade 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 Multi-Case 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 Teacher-in-Transition 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 Standards-based Curriculum Students and NonStandards-based 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 Pre-Service 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 Self-As 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.

Interested in more math episodes? Email us at [email protected] .

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Today's episode was produced by Hannah Chinn and edited by Rebecca Ramirez. Hannah checked the facts. Tiffany Vera was the audio engineer.

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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/Non-Cooperative_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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