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This tag is used if a reference is needed in a paper or textbook on a specific result.

3 votes
0 answers
163 views

First reference to the Tits alternative

As we know, the "Tits alternative" is a theorem relating to finitely generated linear groups. I was curious as to where in the literature the Tits alternative is first referred to by this name, as I …
Hollis Williams's user avatar
7 votes

Where can I create nice looking graphics for a paper?

For the purposes of what you describe in your question, I think Inkscape would probably be fine (it's quite good for drawing the type of 2D figure which you describe). I have used TikZ before but it c …
Hollis Williams's user avatar
3 votes
2 answers
425 views

Proof of Isoperimetric Inequality using Curve Shortening Flow

I am aware that there is a nice result where one uses curve shortening flow to prove the isoperimetric inequality on the Euclidean plane, but could not seem to find the original article where this was …
Hollis Williams's user avatar
3 votes

Famous cases of multiple papers by the same author published in same issue of same journal

This is a physics example rather than a mathematics example, but Albert Einstein did this many times. I believe on many occasions he in fact published multiple papers in the same issue of the same jo …
1 vote

A survey on positive mass theorem?

Not a survey per se, but a good article on the theorem is the one below which gives a quick, clear sketch of the second part of Schoen and Yau's proof of the positive mass theorem. It might be helpful …
5 votes
1 answer
206 views

References for systems of elliptic PDEs

I was wondering if there were any recent references dealing with the theory of systems of elliptic PDEs: in particular, someone was telling me about something which sounded like 'Schur complementarity …
Hollis Williams's user avatar
0 votes

Are there any serious investigations of whether "mathematicians do their best work when they...

This misconception that mathematics is a young person's game seem to have been pushed most forcefully by Hardy, but the list of examples he gives is very misleading because they all died young and so …
3 votes

References for classical Yang-Mills theory

My personal suggestion is 'Differential Geometry, Gauge Theories, and Gravity' by M. Gockeler and T. Schucker. However, it assumes a fairly high degree of mathematical sophistication (it's one of the …
Hollis Williams's user avatar
0 votes

What is a good basic reference on model categories?

If you're interested in model categories in the context of operads, the book Homotopy of Operads and Grothendieck-Teichmuller Groups Part 2: The Applications of Rational Homotopy Theory Methods by Ben …
Hollis Williams's user avatar
2 votes

Good overviews on $\phi^{4}$-field theory?

In terms of physical motivation of $\phi^4$, if I remember rightly the references in the introduction to this paper might have some pointers. Dashen R and Neuberger H 1983 How to get an Upper Bound o …
Hollis Williams's user avatar
4 votes

Books that teach other subjects, written for a mathematician

There are many sources on general relativity for mathematicians (see, for example, the lecture notes of Schoen and the textbook Geometric Relativity by Dan Lee). It's been a while since I read any che …
8 votes

Euler's Master's Thesis

As Franz says, it is impossible to know for definite which view the young Euler supported. However, Newton had already disposed of the Cartesian vortex theory in the Principia which was published almo …
Hollis Williams's user avatar
5 votes
Accepted

Textbook suggestions for rigorous fluid dynamics

A few possibilities: JC Robinson, JL Rodrigo, & W Sadowski (2016) Classical theory of the three-dimensional Navier-Stokes equations. OA Ladyzhenskaya (1963) The mathematical theory of viscous incomp …
Hollis Williams's user avatar
2 votes

What is the best place to learn about the mathematical foundations of quantum mechanics?

Another possibility might be Mackey's Mathematical Foundations of Quantum Mechanics (Mackey obviously being an eminent researcher in functional analysis and noncommutative geometry). A positive review …
Hollis Williams's user avatar
7 votes

What are your opinions on Zeidler's QFT books?

In general reading entire textbooks in QFT is not the best way to learn QFT (or any subject in science and mathematics). I have not heard of the books, but my guess is that they are not going to be a …
Hollis Williams's user avatar

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