Information About Me:

I'm currently a graduate student at Rutgers University, studying Lie algebras, vertex operator algebras, and number theory. I've previously studied combinatorics and statistics.

Fall 2001:

• Quadratic forms (Henryk Iwaniec)
• String theory (Y.Z. Huang)

Fall 2000:

• Axiomatic vertex operator algebras (Jim Lepowsky)
• Deformation quantization (Siddhartha Sahi)

Spring 2000:

• Analytic number theory (Bill Duke)
• Vertex operator algebras and the monster (Jim Lepowsky)
• Hecke algebras (Siddhartha Sahi)
• Combinatorial number theory (Jozsef Beck)

Fall 1999:

• Analytic number theory (Bill Duke)
• Finite group theory (Richard Lyons)
• Infinite-dimensional Lie algebras (Robert Wilson)

Travel:

• 1999-2000: Attending seminars at the IAS for the special program on Analytic Theory of Automorphic Forms and L-Functions.

Summer 1999:

Travel:

• May 27-June 6: Vacation in Italy and Switzerland.
• June 7-11: I attended the MSRI workshop on random matrices; quantum chaos, GUE conjecture for zeros of zeta functions, combinatorics, and all that.

Spring 1999:

Courses:

• Analytic number theory (Henryk Iwaniec)
• Finite group theory (Richard Lyons)
• Reading course with (Jerry Tunnell), covering local-to-global principles in the first half of the semester and automorphic representations during the second half of the semester.
• Determinant line bundles (Yi-Zhi Huang)

Additional areas of interest:

• Topological group theory and Lie groups.
• Certain special subgroups of the modular group.

Travel:

• March 13-17: I attended the Arizona Winter School workshop on local-to-global principles in arithmetical algebraic geometry at the University of Arizona. I did a project on a family of quadratic twists under Karl Rubin.

Fall 1998:

Courses:

• Analytic number theory (Henryk Iwaniec)
• Modular forms (Fred Diamond)
• Vertex operator algebras (Jim Lepowsky)

Additional areas of interest:

• Matrix norms.
• Lie- and VOA-theoretic proofs of combinatorial identities.
• Strong approximation theorems.

Summer 1998:

• Studied Lie algebras with Robert Wilson.

July 6-17:

• I attended the algorithmic algebra and geometry program at the MSRI in Berkeley. While I was there I studied computational commutative algebra and number theory, plus some algebraic geometry and algebraic topology.