Upcoming Events

Given a symmetric matrix with a given sign pattern, what can the sign patterns of its eigenvectors look like? This simple question is closely related to the study of discrete nodal statistics, and draws strong parallels with classical results in...

Real-world systems—from academic collaborations and computer networks to biological systems and power grids—are often large, heterogeneous, and highly interconnected. A first step towards understanding these systems is choosing an appropriate...

The question of how species coexist is one of the most fundamental questions in ecology. The standard approach for using models to understand what leads to ecological coexistence can be caricatured as start with a model, specify parameters, and look...

This talk focuses on the inverse eigenvalue problem for graphs (IEPG), which seeks to determine the possible spectra of symmetric matrices associated with a given graph G. These matrices have off-diagonal non-zero entries corresponding to the edges...

We are in the midst of an exciting revolution in quantum science and technology. One of the most intriguing and potentially disruptive innovations to emerge from this second revolution is the prospect of quantum computation. Serious attempts are...

Students of grades 5 to 7 are invited to challenge and develop their thinking and creativity skills at the Math Circle Workshops. This is an enrichment program for students organized by the faculty members of the Department of Mathematics at the...

Recent applications in machine learning have renewed the community’s interest in min-max optimization problems. While gradient-based optimization methods are widely used to solve these problems, there exist many scenarios where such techniques are...

We study semi-discrete variational optimal-transport problems between a continuous source measure and a discrete target measure supported on a 1-d space. We identify discrete nestedness conditions that simplify the matching structure, and propose...

We discuss a differential geometric construction of distinguished holomorphic 2-spheres inside a K3 surface. These 2-spheres degenerate to a line on an affine 3-manifold. The example illustrates a general principle in the SYZ program, where graphs on...

After a brief review of the modular method, in this talk we will explain how hyperelliptic curves have emerged as an important tool in recent years to approach generalized Fermat equations.