Organized by Robert Berman, Semyon Klevtsov, Paul Wiegmann, and Steve Zelditch April 20 – June 19, 2015 This program centers on the use of holomorphic sections of high powers of positive Hermitian holomorphic line bundles over a Kahler manifold to construct projective embeddings, Bergman Kahler metrics, and Gaussian random fields. The main tool is the … Read more

Organized by Sergei Gukov, Mikhail Khovanov, and Piotr Sulkowski March 16 – June 12, 2015 The aim of this program is to understand new relations between knot theory, supersymmetric field theories, and string theory. Tremendous development in knot theory in recent decades led to the formulation of polynomial knot invariants, such as the Jones polynomial … Read more

Organized by: Terry Gannon, David Ginzburg, Axel Kleinschmidt, Stephen D. Miller, Daniel Persson, and Boris Pioline The purpose of this interdisciplinary program is to investigate connections between string theory and the theory of automorphic forms, modular forms and mock modular forms. This is an emergent field with a lot of potential for interdisciplinary collaborations. Recent … Read more