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soft question - What was the shortest PhD thesis in physics? - Physics Stack Exchange
MathOverflow is a question and answer site for professional mathematicians. It only takes a minute to sign up. 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.
It will often be very difficult to confirm or disconfirm such claims, since Ph. 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.
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 shortest phd thesis in physics 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, shortest phd thesis in physics. David Rector's thesis "An Unstable Adams Spectral Sequence", MIT 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 Topologysame titlewhich is 3 pages plus bibliography.
Dan Kan, shortest phd thesis in physics, his advisor, likes short papers. John Nash's shortest phd thesis in physics was 26 pages, and had two references in the bibliography.
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. thesis, University of California, Berkeley, ; published as: K-Theory 6Portico archived version. Burt Totaro's webpage at Cambridgeincluding a pdf of the published version. This is not really an answer because these PhD's were never actually written, shortest phd thesis in physics, but anyway: shortest phd thesis in physics his book A mathematicians miscellany in the chapter on math with minimum raw material Littlewood gave 2 examples that could have been shortest phd thesis in physics PhDs:.
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 twenty-one pages in Englisha revised and substantially abbreviated version eleven pages in English published inand a brief abstract based on a presentation of Godel's results in Konigsberg on 6 September 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.
I already posted this on meta where there was some discussion of whether the page count was correct. Shortest phd thesis in physics guess is that it is, so I will post it here too:. MR Martens, Henrik Herman Buvik A NEW PROOF OF TORELLI'S THEOREM. Thesis Ph. Barry Mazur's thesis on the proof of the Schoenflies conjecture and introducing the method of infinite repetition in topology is 5 pages long.
Sign up to join this community. The best answers are voted up and rise to the top, shortest phd thesis in physics. What is the shortest Ph. Asked 10 years, 9 months ago. Active 3 years ago. Viewed 68k times. history-overview thesis.
Improve this question. edited Nov 2 '18 at community wiki. 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. Moreover in some cases it's debatable whether a particular document really is a thesis or the full thesis. It realy should be CW.
This question is terrible. I'm sure I could reformat my thesis in a silly font size to make it have a ludicrously small shortest phd thesis in physics of pages. Anyway, most universities have specific formatting standards and would not let you submit it in this form. Show 9 more comments. Active Oldest Votes. Improve this answer. answered Feb 8 '11 at Charles Rezk. Enough people shortest phd thesis in physics 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.
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.
Rector's thesis comprises a title page, an abstract page, a table of contents page, 7 pages of math, a bibliography page 8 refs. Except for some trivial changes in wording in the intro, the mathematical part is indeed identical to the 4-page Topology paper, vol. 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. Add a comment, shortest phd thesis in physics.
Simon Lyons. pdf That document is 17 pages including title page, etc. the French national library shortest phd thesis in physics gives Moreover, one page is a title page, one is a dedication, and shortest phd thesis in physics is a vita. So, depending on what one actually counts, 18, 16, or According to library catalogues 16 or edited Nov 8 '18 at I gave two references here, Milnor K-theory is the simplest part of algebraic K-theory, Ph.
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. It has 16 numbered pages, incl. Definitions start on page 1 though, not much of an introduction. 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. Show 1 more comment. Richard Borcherds. This is a sort of fluff question, so it doesn't matter much, but in general I think it should be shortest phd thesis in physics to repost answers from meta, so that the main thread has the most complete record of answers to the question.
But this question specifically asks us to, and gives good reasons for it. But I have just checked my copy of the Collected Works unfortunately I have not found any online library to linkand in pages we can find Godel's dissertation even pages match German, while odd ones match English.
Thus, the description "21 pages in English" is 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, shortest phd thesis in physics. abbreviates 'Seiten' i. pagesthe type of shortest phd thesis in physics thesis of University of Vienna Wienand finally the specific libraries where it can be found. My guess is that it is, so I will post it here too: MR Martens, shortest phd thesis in physics, Henrik Herman Buvik A NEW PROOF OF TORELLI'S THEOREM.
Felipe Voloch. David Hansen. More documentation? Victor Miller. I had never looked at the thesis, but just the published version in the Bulletin of the AMS which is 5 pages long. Featured on Meta.
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