Past Events

I will provide an overview of recent modeling work on acute HIV infection stimulated by new experimental findings. I will discuss new deterministic models that incorporate a time-varying infectivity parameter. I will also discuss stochastic models of...

I will describe work with Dubi Kelmer on the first Laplace eigenvalue in towers of manifolds covered by real or complex hyperbolic space. All congruence quotients in a given dimension have a uniform spectral gap; we show how to deduce from this a...

We will first present the algebras A(K) associated with a number field K which were introduced and analyzed in joint work with X.Li. The computation of their K-theory is a challenging problem. It turns out to be determined by the multiplicative group...

There is a general cohomology defined by Sweedler for co-commutative Hopf algebras, generalizing the usual cohomology of a group or a Lie algebra. Recently it was discovered that low-dimensional groups could be defined without the co-commutativity...

We address the problem of prior matrix estimation for the solution of L1-regularized ill-posed inverse problems. Considering a Bayesian viewpoint, we show that such a matrix can be regarded as an influence matrix in a multivariate L1-Laplace density...

We prove the unique existence of solutions of the 3D incompressible Navier-Stokes equations in an exterior domain with small non-decaying boundary data, for all $t \in R$ or $t \in (0,\infty)$. In the case $t \in (0,\infty)$ it is coupled with a...

This is a working seminar on the homotopy theory of moduli spaces

Given a projective variety X of dimension d, a "flag" of subvarieties Y_i, and a big divisor D, Okounkov showed how to construct a convex body in R^d, and this construction has recently been developed further in work of Kaveh-Khovanskii and...

The study of elliptic curves has been closely connected with machine computation almost since the invention of computers -- in 1952 Emil Artin had John von Neumann perform an extensive calculation relating to elliptic curves on the IAS MANIAC...