I am a 3rd-year (out of 5 or 7) graduate student at UCSB in mathematical physics. I like problems in flat surfaces and large-N combinatorics, which are visually intuitive or deal with statistical algorithms or chaotic dynamical systems. Instead of having a deep interest in one area, I have superficial interests in a variety of areas -- a sort of generalist attitude. And I am a curmudgeon. I complain combinatorics papers are too combinatorial, algebraic geometry papers are too algebraic, ergodic theory and determinantal processes papers are too analytic. Here are problems that interest me these days: - Combinatorial topology and relation to matrix models and the moduli space of curves via Wick's theorem
- The character theory of finite groups. Plethysms/schur functors of finite group representations. Invariant theory of finite groups.
- Veech surfaces and their relation to continued fractions.
- Generalizations of the Weyl-equidistribution theorem via nilmanifolds.
- The Robinson-Schensted algorithm and generalizations. Asymptotics.
- The Artic circle phenomenon, knutson-tao-puzzles, interacting particle systems and orthogonal polynomial ensembles.
- Free-fermions in combinatorics and algebraic geometry.
- Topological solitons and the Grassmanian.
These are pure math questions that borrow tools from (and hopefully contribute to) topics like 2D quantum gravity, 2D Yang-Mills, AdS/CFT correspondence, Holography, Integrable Systems, D-branes, AGT correspondence and BPS solitons in N=2 Supersymmetric Yang-Mills theory. ## Current Classes [Winter]## Winter 2012Attending the Novel Numerical Methods and Physics of Graphene workshops at KITP. The material Graphene and the continuously varying families of Conformal Field theories (AdS/CFT correspondence) have gotten a lot of attention as a material last few years. These two conferences, side by side, continue the link between high-energy and condensed matter physics emphasized last quarter. - Phys 210A - Electricity & Magnetism w/ Mark Srednicki
- Phys 230A - String Theory w/ Joe Polchinski
- Math 240B - Seiberg-Witten Theory w/ Doug Moore
## Fall 2011Attending the Topological Insulators and Holography/Fermions/Renormalization workshops at KITP. ~~Phys 205A - Classical Mechanics w/ David Berenstein~~
## 2010-2011I spent Fall quarter as visiting graduate student at IPMU in Kashiwa, Japan, working with the Math and String Theory groups. However, I was enrolled in one class (QFT) at UCSB. - Reading course on Baik-Deift-Johansson conjecture.
- Reading course on Wall-Crossing, Hitchin Systems and WKB Approximation.
- Auditing Math 229B on the Standard Model
- Math 221B Homotopy Theory
- Phys 221AB Quantum Field Theory
- Teaching Assistant for Math 5A/5AI (Differential Equations) with Elizabeth Thoren.
- Caltech/Tokyo U:
*Mathematical Techniques in String Theory*w/ Hirosi Ooguri
## 2009-2010- Math 240ABC: Differential Geometry
- Math 237AB: Algebraic Geometry
- Math 243ABC: Ordinary Differential Equations
- Phys 215ABC: Quantum Mechanics
## Notes, DraftsMostly expository... can't find it anywhere on the net in a unified place. The Euler Characteristic of Random Branched Covers on the Torus ## Go (Weiqi) Baduk:I am director of the East Coast Go Camp.
I spent last summer (2009) in Shantou, China studying Go with Feng Yun, one of three female 9-dan professionals in the world. My KGS
and WBaduk name is ## Dots and Boxes / HexI am |