Let K be a knot or link in the 3-sphere, thought of as the ideal
boundary of hyperbolic 4-space, H4. The main theme of my talk is
that it should be possible to count minimal surfaces in H4 which
fill K and obtain a link invariant. In other words...
In this three-part lecture series, we will present a series of
works by Bedrossian, Blumenthal and Punshon-Smith on the chaotic
mixing and enhanced dissipation properties of a passive tracer
subject to the motion of an ergodic Markovian flow of...
Half-integral weight modular forms are classical objects with
many important arithmetic applications. In terms of
automorphic representations, these correspond to objects on the
metaplectic double cover of SL(2). In this talk, I will
outline a...
Close binaries are the origin of many extraordinary events in
the Universe, including type Ia supernovae and gravitational wave
events. On the other extreme, wide binaries are easily disrupted by
gravitational perturbations, making them a unique...
I will present a recent result jointly with Francisco Gancedo
(Universidad de Sevilla) and Huy Q. Nguyen (University of
Maryland), in which we obtained the global well-posedness for the
2D one-phase Muskat problem with arbitrary large Lipschitz...
I will discuss an idea of constructing a category associated
with a pair of holomorphic Lagrangians in a hyperkahler manifold,
or, more generally, a manifold equipped with a triple of almost
complex structures I,J,K satisfying the quaternionic...
We study collisions of localized shockwaves behind the horizon
of the eternal AdS black hole. We give a holographic boundary
description in terms of the overlap of two growing perturbations in
a shared quantum circuit. Due to a competition between...
The Hochschild cohomology of the Floer algebra of a Lagrangian
L, and the associated closed-open string map, play an important
role in the generation criterion for the Fukaya category and in
deformation theory approaches to mirror symmetry. I will...
In this three-part lecture series, we will present a series of
works by Bedrossian, Blumenthal and Punshon-Smith on the chaotic
mixing and enhanced dissipation properties of a passive tracer
subject to the motion of an ergodic Markovian flow of...
In this three-part lecture series, we will present a series of
works by Bedrossian, Blumenthal and Punshon-Smith on the chaotic
mixing and enhanced dissipation properties of a passive tracer
subject to the motion of an ergodic Markovian flow of...
