I will discuss ongoing work about a string theoretic
perspective on the 2d Bethe/Gauge correspondence of
Nekrasov-Shatashvili. In this work, we focus on gl(M|N) spin
chains. We show that the two sides of the correspondence, the
integrable spin chain...
The physicist Abrikosov predicted that in certain
superconductors, one should observe triangular lattices of
vortices, now called Abrikosov lattices. When studying ground
states of Coulomb gases, which is motivated by questions in
In this talk, I will give an overview of some recent results
motivated by the computation and applications of persistent
homology, a theory that creates a bridge between the continuous
world of topology and the discrete world of data, and...
The group of Hamiltonian diffeomorphisms of a symplectic
manifold admits a remarkable bi-invariant metric, called
Hofer’s metric. My talk will be about a recent joint work
with Dan Cristofaro-Gardiner and Vincent Humilière resolving
The anti-spherical modules over the affine Hecke algebras admit
two different realizations: one realization is in terms of the
space of Whittaker functions on the affine flag manifolds and the
other realization, due to Kazhdan-Lusztig, is in terms...
A discrete countable group is matricially stable if its finite
dimensional approximate unitary representations are perturbable to
genuine representations in the point-norm topology. We aim to
explain in accessible terms why matricial stability for a...
This talk introduces a directed analog of the
classical Laplacian matrix and discusses algorithms for
solving certain problems related to them. Of particular interest is
that using such algorithms, one can compute the stationary
distribution of a...