Georgia Institute of Technology College of Sciences

Atlanta Combinatorics Colloquium hosts John Urschel

Jointly hosted by the combinatorics groups at the Georgia Institute of Technology, Georgia State University, and Emory University.

organized by Tom Kelly, Liana Yepremyan, and Yi Zhao.

The talk will be at 5pm on April 3rd in the Bill Moore Student Success Center Press Room A , with refreshments at 4:30. 

Please Note: The location is now Press Room A.

Title: Nodal Statistics for Graphs and Matrices 

Abstract: The study of nodal statistics provides insight into the spectral properties of graphs and matrices, drawing strong parallels with classical results in analysis. In this talk, we will give an overview of the field, covering key results on nodal domains and nodal counts for graphs  and their connection to known results in the continuous setting. In addition, we will discuss some recent progress towards a complete understanding of the extremal properties of the nodal statistics of a matrix.

Bio: John Urschel is an Assistant Professor of Mathematics at MIT, and a Junior Fellow at the Harvard Society of Fellows. Previously, he was a member of the Institute for Advanced Study. He received his Ph.D. in Mathematics from MIT in 2021 under the supervision of Michel Goemans. His main research interests include matrix analysis, numerical linear algebra, and spectral graph theory. He recently received the SIAM DiPrima Prize and the SIAM Early Career Prize in Linear Algebra.

About the Atlanta Combinatorics Colloquium

The Atlanta Combinatorics Colloquium is a seminar in discrete mathematics jointly hosted by the combinatorics groups at the Georgia Institute of Technology, Georgia State University, and Emory University.