In this talk, we will discuss quantum corrections in the
gravitational path integral around nearly 1/16-BPS black holes in
asymptotically AdS5 x S5 space, dual to heavy operators in N=4 SYM.
We argue these quantum corrections come from a version of...
I will talk about an ongoing project that explores the
construction of high dimensional Legendrian spheres from supporting
open books and contact structures. The input is a Lagrangian disk
filling of a Legendrian knot in the binding. We try to...
I will explain the construction of a new class of Liouville
domains that live in a complex torus of arbitrary dimension, whose
boundary dynamics encodes information about the singularities of a
toric compactification. The primary motivation for this...
In this talk, we will study the Floer Homology barcodes from a
dynamical point of view. Our motivation comes from recent results
in symplectic topology using barcodes to obtain dynamical results.
We will give the ideas of new constructions of...
Let N and p greater than or equal to 5 be primes such that p
divides N−1. In his landmark paper on the Eisenstein ideal, Mazur
proved the p-part of the BSD conjecture for the p-Eisenstein
quotient J(p) of J0(N) over Q. Using recent results and...
In this talk I will describe recent progress in applying tools
from collider physics to problems in classical general relativity.
This program has produced state-of-the-art calculations of the
conservative two-body Hamiltonian at the fourth order in...
The Nielsen-Thurston theory of surface homeomorphism can be
thought of as a surface analogue to the Jordan Canonical
Form. I will discuss my progress in developing a similar
decomposition for free group automorphisms. (Un)Fortunately, free
group...
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...
Given a trivalent plane graph embedded in the Euclidean plane
(up to isotopy), Treumann and Zaslow constructed and studied a
certain associated Legendrian surface embedded in standard contact
R5, nowadays referred to as a Legendrian 2-weave. Using...
