Past Events

We are in the midst of an exciting revolution in quantum science and technology, comparable in ways to the first one that occurred about 100 years ago. One of the most tantalizing and potentially disruptive innovations to emerge from this second...

Varieties that fail to have rational points despite having local points for each prime are said to fail the Hasse principle. A systematic tool accounting for these failures uses the Brauer group to define an obstruction set known as the Brauer-Manin...

A set { a 1 , a 2 , … , a m } of distinct positive integers is a Diophantine m -tuple if the product of any two distinct elements in the set is one less than a square. In this talk, I will discuss some recent results related to Diophantine tuples and...

A sequence of tournaments is said to be quasirandom if it behaves as a sequence of random tournaments would. In 1991, Chung, Graham, and Wilson provided a list of equivalent properties that any sequence of random tournaments satisfies with high...

Talk Abstract The orthogonally projected shadows of a dispersed set in the plane carry much of the information about the shape of the set. The average size of the shadow, known as the Favard length, can be used to study density, structure...

In two independent papers, Aizenman and Fröhlich argued that every scaling limit of the critical Ising model in dimensions d > 4 is trivial (or Gaussian). This qualitative result can be reformulated as follows: the Schwinger functions of any...

Mathematical modeling, when combined with diverse epidemiological datasets, provides valuable insights for understanding and controlling infectious diseases. In this talk, I will present a series of case studies demonstrating how the synergy between...

This talk will discuss two inference problems in dynamical systems, both motivated by applications in mathematical biology. First, we will discuss the classical gene regulatory network inference problem for time-stamped single-cell datasets and...

Given a graph G, its genus distribution is the sequence whose k-th term is the number of 2-cell embeddings of G in the orientable surface of genus k. The Log-Concavity Genus Distribution (LCGD) Conjecture states that the genus distribution of every...

We will discuss extensions of random transpositions to other conjugacy classes. Our main probabilistic result is the total variation cutoff profile for these random walks, under a mild assumption on the number of fixed points. The proof is based on a...