I will explain how various results in arithmetic statistics by
Bhargava, Gross, Shankar and others on 2-Selmer groups of Jacobians
of (hyper)elliptic curves can be organised and reproved using the
theory of graded Lie algebras, following earlier...
Core-collapse supernovae (CCSN) are efficient laboratories to
explore physics beyond the standard model (SM). In particular, they
have been used to put strong constraints on axion and axion like
particles, and on many other motivated extensions of...
In ongoing joint work with Glebsky, Lubotzky, and Monod, we
construct an analog of bounded cohomology in an asymptotic setting
in order to prove uniform stability of lattices in Lie groups (of
rank at least two) with respect to unitary groups...
Two recent and seemingly-unrelated techniques for proving mixing
bounds for Markov chains are:
(i) the framework of Spectral Independence, introduced by Anari,
Liu and Oveis Gharan, and its numerous extensions, which have given
rise to several...
I will discuss a recent work constructing quasimorphisms on the
group of area and orientation preserving homeomorphisms of the
two-sphere. The existence of these quasimorphisms answers a
question of Entov, Polterovich, and Py. As an
immediate...
I will review recent progress connecting (quantum) codes with
two-dimensional conformal field theories of the Narain type. In the
first part of the talk I will show how codes can be used to
construct CFTs with large spectral gap. In the second part...
As machine learning is widely deployed, it is increasingly
important to ensure that predictors will perform well not only on
average (across the entire population), but also on specific
socially salient subgroups. In this talk, I will present...
