Video Lectures

The Arnold conjecture about fixed points of Hamiltonian diffeomorphisms was partly motivated by the celebrated Poincare-Birkhoff fixed point theorem for an area-preserving homeomorphism of an annulus in the plane. Despite the fact that the Arnold...

The Langlands program is a far-reaching collection of conjectures that relate different areas of mathematics including number theory and representation theory. A fundamental problem on the representation theory side of the Langlands program is the...

Neutron star merger GW 170817 was accompanied by a gamma-ray burst with luminosity L∼1047 erg/s, coming with a ~2 s delay after the gravitational waves. Observations also indicate the presence of a dark, ultra-relativistic envelope ejected promptly...

Spektr-RG spacecraft with Russian (ART-XC) and German (eRosita) X-Ray telescopes was launched on July 13th of 2019 from Baykonur. During the flight to the L2 point of the Sun-Earth system, SRG performed calibrations and detailed long duration...

Diagonalization is incredibly important in every field of mathematics. I am a representation theorist, so I will start by motivating the uses of diagonalization in representation theory. Then comes a brief introduction to categorical representation...

It is known that any opened necklace with beads of n types can be partitioned by at most (k-1)n cuts into intervals that can be distributed into k collections, each containing the same number of beads of each type (up to 1). The proof is topological...

I will motivate and discuss the notion of dispersive sum rules in conformal field theory. They are sum rules satisfied by the OPE data of a four-point function as a consequence of conformal dispersion relations. Physically, they are a detailed...

This talk reports on joint work with Maria Bertozzi, Tara Holm, Emily Maw, Grace Mwakyoma, Ana Rita Pires, and Morgan Weiler on a WiSCon project to investigate the embedding capacity function of the one-point blow up of ℂP2. We found three new...