Previous Conferences & Workshops

We describe how various fundamental algebraic structures (involving, for example, number fields, class groups, and algebraic curves) can be parameterized via the orbits of appropriate group representations. By developing techniques to count such...

Floer homology generated by periodic orbits of Hamiltonian systems is, in general, not a classical homology theory. However, on phase spaces of cotangent bundle type for systems equivalent to the geodesic flow, all known structures in loop space...

Collateralized Default Obligations (CDOs) and related financial derivatives have been at the center of the last financial crisis and subject of ongoing regulatory overhaul. Despite their demonstrable benefits in economic theory, derivatives suffer...

I'll discuss connections between the distribution of zeros and values of $L$-functions, such as the Riemann zeta function, and of characteristic polynomials of matrices from the classical compact groups. Very little background will be assumed and...

In this talk, I shall describe an ongoing project to develop a complexity theory for cryptographic (multi-party computations. Different kinds of cryptographic computations involve different constraints on how information is accessed. Our goal is to...

Loop-erased random walk (LERW) is a random self-avoiding curve obtained by erasing the loops of a random walk according to chronological order. Studying LERW on the two-dimensional integer lattice, Schramm introduced a model of one-parameter planar...

The automorphic cohomology of a reductive $\mathbb{Q}$-group $G$, defined in terms of the automorphic spectrum of $G$, captures essential analytic aspects of the arithmetic subgroups of $G$ and their cohomology. We discuss the actual construction of...

I first present an algorithm to compute the truncated theta function in poly-log time. The algorithm is elementary and suited for computer implementation. The algorithm is a consequence of the periodicity of the complex exponential, and the self...