Heavy quarks propagating through quark-gluon plasma provide a
unique, experimentally accessible opportunity to study the
real-time dynamics of QCD in its strongly coupled regime. In the
infinite heavy quark mass limit, the momentum change...
I will describe recent breakthrough results in multiclass PAC
learning that characterize the optimal sample complexity. The talk
will discuss recent work of Chirag Pabbaraju, as well as work of
Steve Hanneke, Qinglin Meng, Shay Moran, and Amirreza...
I will introduce microlocal sheaves on Weinstein manifolds and
survey recent results found in various papers of Laurent Côté,
Chris Kuo, Wenyuan Li, Vivek Shende, and myself.
Fourier series are classically used to construct solutions to
partial differential equations such as the wave and Schrödinger
equations. In Fourier restriction theory, additional conditions are
imposed on the frequencies of these series, giving rise...
This talk will be a series of vignettes in topological
combinatorics, centering around lower bounds on the chromatic
number of graphs. The Kneser graph KG(n,k) has as vertices the
size-k subsets of {1,...,n}, with an edge placed between any
two...
Fourier series are classically used to construct solutions to
partial differential equations such as the wave and Schrödinger
equations. In Fourier restriction theory, additional conditions are
imposed on the frequencies of these series, giving rise...
The shuffle model is a widely used abstraction for
non-interactive anonymous communication. It allows n parties
holding private inputs x1,…,xn to simultaneously send messages to
an evaluator, so that the messages are received in a random order.
The...
Fourier series are classically used to construct solutions to
partial differential equations such as the wave and Schrödinger
equations. In Fourier restriction theory, additional conditions are
imposed on the frequencies of these series, giving rise...
In Euclidean spaces, star-shaped domains (also known as
Liouville domains) are fundamental objects in modern symplectic
geometry. Several important subclasses have been introduced and
studied, including dynamically convex domains, geometrically...
An important open problem is to classify rational points on all
modular curves, or equivalently to classify the possible adelic
Galois images of elliptic curves over Q, as envisioned in Mazur’s
Program B. However, this problem is inherently infinite...
