Video Lectures

In this work we prove a high dimensional analogue of the beloved Goldreich-Levin  theorem (STOC 1989), which is the first local list-decoding algorithm.  We consider the following algorithmic problem: given oracle access to a function f:Zmq⟶Znq such...

Instantons are an important source of nonperturbative effects in quantum field theories, but their role in asymptotically free theories has not been well understood. In this talk, we will present a new approach to instanton analysis in the context...

The question of producing a foliation of the n-dimensional Euclidean space with k-dimensional submanifolds which are tangent to a prescribed k-dimensional simple vectorfield is part of the celebrated Frobenius theorem: a decomposition in smooth...

Arnold conjecture says that the number of 1-periodic orbits of a Hamiltonian diffeomorphism is greater than or equal to the dimension of the Hamiltonian Floer homology. In 1994, Hofer and Zehnder conjectured that there are infinitely many periodic...

We show a new Hamiltonian fragmentation result for four-dimensional symplectic polydisks. As an application to our result, we prove C0-continuity of the spectral estimators defined by Polterovich and Shelukhin for polydisks.

We discuss some properties of a pseudo-metric on the contactomorphism group of a strict contact manifold M induced by the maximum/minimum of Hamiltonians. We show that it is non-degenerate if and only if M is orderable and that its metric topology...

The lecture introduces the audience to the process of interaction of one of the most important Middle Eastern Church traditions, Syriac Christianity, with the Holy City and the Holy Land. Even if scholars have often argued that the late antique...

Can we reconstruct a function by knowing only a subset of its values and a subset of the values of the function's Fourier transform?

How many values do we need to know for such a reconstruction? Can we interpolate a given subset of values? What are...

I will give an introduction to the problem of sampling from a strongly log-concave density on Euclidean space through the lens of convex optimization.  In particular, I will focus on the interpretation, due to Jordan, Kinderlehrer, and Otto, of the...

The iconic spiral arms that decorate the disks of massive galaxies (like our own Milky Way) have been studied observationally and theoretically since they were first recorded 180 years ago, nevertheless the exact details of their nature remains...