# Alexander Braverman

University of Toronto - Department of Mathematics

Area of Research:
Email: abraverman@perimeterinstitute.ca
Phone: x8542

## Research Interests

My main area of research is geometric representation theory (with applications to algebraic geometry, number theory and mathematical physics). Currently I am working on two main subjects: the first (jointly with M.Finkelberg and H.Nakajima) is an attempt to give a mathematically rigorous definition of
Coulomb branches of 3-dimensional N=4 super-symmetric gauge theories and their quantizations and study representations of the resulting non-commutative algebras.

## Recent Publications

• Braverman, Alexander; Kazhdan, David; Patnaik, Manish M. Iwahori-Hecke algebras for p-adic loop groups. Invent. Math. 204 (2016), no. 2, 347-442.
• Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes). Alexander Braverman, Michael Finkelberg, Hiraku Nakajima, arXiv: 1604.03625
• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II. Alexander Braverman, Michael Finkelberg, Hiraku Nakajima, arXiv: 1601.03586

## Seminars

• Clay worskhop on geometric representation theory, September 2016
• Insitut Henri Poincare, workshop on "String theory and BPS state counting"
• Simons Center for Geometry and Physics
• Columbia University informal mathematical physics seminar