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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

21 votes

Standard model of particle physics for mathematicians

For the standard model, and in particular for its representation-theoretic aspects (which are crucial), I would refer you to the excellent recent article by John Baez and John Huerta from the Bulletin …
Spiro Karigiannis's user avatar
4 votes

Do you understand SYZ conjecture

You might also want to check out Riemannian Holonomy Groups and Calibrated Geometry by Dominic Joyce. In Chapter 9, he gives a nice introduction to SYZ that is very accessible. He also points out r …
Spiro Karigiannis's user avatar
9 votes

mirror symmetry with algebraic geometry?

Kevin Lin gave a great technical answer to this question (which should be accepted) but I would like to add some more "philosophical" reasons for this: [1] algebraic geometry methods are easier to ap …
Spiro Karigiannis's user avatar
11 votes
Accepted

K.Uhlenbeck's preprint "A priori estimates for Yang-Mills fields"

Sorry it took so long. The scanned version of Uhlenbeck's preprint is available here: http://www.math.uwaterloo.ca/~karigiannis/uhlenbeck-preprint.pdf I can leave it there for a few months, at least …
Spiro Karigiannis's user avatar