Fall 2007
This semester I take
Quantum Field Theory, by Richard Borcherd
String Theory, in Physics Department
Math 276 - Section 2 - Conformal and Topological Quantum Field Theories
MATH 270: Topological Conformal Field Theory.
MATH 276: Susy Quantum Field Theory and Generalized Cohomology
Spring 2007
I have just advanced to candidacy, so I can more choice to choose. Besides the independent research course, I have:
Quantum Field Theory (Physics 230A), Department of Physics. It's killing me.
General Relativity (Physics 231), Department of Physics, it is very funny to see the way physicists understand Mathematics
Riemannian Geometry (Math 240)
Von Newman Algebras (Math 209), taught by Richard Bocherd.
Together with some others, I am doing some seminars (discussion arrsection/reading course or whatever) with:
Santiago Canez, Patrick Barrow, Matthew Tucker: Noncommutative Geometry
Alan Weinstein, Santiago Canez: Poisson Geometry and Groupoids/Algebroids
Yi Luu: Holomorphic Curves, Gromov-Witten Invariance and Quantum Cohomology
Fall 2006
Because I am preparing to advance to candidacy, I only take very few courses.
Math 279 in Semi-classical Analysis, by Professor Maciej Zworski. Roughly speaking, it lies in the transition between classical mechanic and quantum physics, also called quantization.
I take a seminar course on Noncommutative Geometry, Math 290.
I also attend the Hot topic course, on Derived Algebraic Geometry and Topology. A lot of professors in my department in different branches gather together to attach a hot theory. But for more accessible understanding, it is the interaction between Algebraic Geometry, E-infinity ring theory, Structured ring spectra, Elliptic cohomology, intersection theory, conformal Field Theory, Quasi-Category theory.
I try to attend some weekly seminars, on Symplectic Geometry, Quantum Geometry, Generalized Geometry, Topology, Student Topology, Representation Theory; and sometimes String Theory seminar in Physics Department to enrich my mathematical culture. Many interesting stuffs.
Spring 2006
Math 261A Lie Theory (Prof. Reshetikhin, Serganova and Richard Borcherds)
Math 208: C*-Algebra and Noncommutative Geometry (Prof. Marc Rieffel)
Math 214B: Advanced Algebraic Topology (Prof. Teichner)
Math 275: Topics in statistical mechanics, combinatorics, and representation theory (Prof.Reshetikhin)
Lang Pro 100B (I feel very ashamed for failing the OPT)
25% Reader for Math 104
25% Graduate Student Researcher for Professor Alan Weinstein
My time table for the Spring 06
Fall 2005
Math 250 Representation Theory (Prof. Serganova)
Math 242 Symplectic Geometry (Prof. A. Weinstein)
Math 206 Banach Algebra (Prof. M. Rieffel)
Lang Pro 100A