Author
Colloquium – Talk by Dr. John Urschel: October 23, 2025
Oct. 14, 2025—October 23, 2025 (Thursday), 4:10 pm Dr. John Urschel, Massachusetts Institute of Technology Nodal Statistics for Graphs and Matrices The study of discrete nodal statistics, that is, data regarding the zeros of Laplacian eigenvectors, provides insight into structural properties of graphs and matrices, and draws strong parallels with classical results in analysis for Laplacian eigenfunctions....
Colloquium – Talk by Alexander Dunn: October 7, 2025
Sep. 30, 2025—October 7, 2025 (Wednesday), 4:10 pm Alexander Dunn, Georgia Institute of Technology Recent progress on Gauss sums and primes Large sieve inequalities are a fundamental tool used to investigate prime numbers and exponential sums. In this Colloquium I will explain my work that resolves a 1978 conjecture of S. Patterson (conditional on the Generalized Riemann hypothesis) concerning the bias...
Colloquium – Talk by Peter Bubenik: October 2, 2025
Sep. 30, 2025—October 2, 2025 (Thursday), 4:10 pm Dr. Peter Bubenik, University of Florida A guided tour of Applied Algebraic Topology Topological data analysis develops methods based on algebraic topology to provide insight into the structure of scientific data. Often these tools come with theorems guaranteeing that their output is stable with respect perturbations of the input....
Colloquium – Talk by Wanlin Li: September 25, 2025
Sep. 30, 2025—September 25, 2025 (Thursday), 4:10 pm Wanlin Li, Vanderbilt University Supersingular Primes A supersingular elliptic curve is a genus 1 curve defined over a finite field with a particularly large endomorphism ring. In this talk, I will discuss the definition and properties of supersingular elliptic curves and their higher dimensional generalizations. In particular, for a...
Colloquium – Talk by Spencer Dowdall: September 25, 2025
Sep. 30, 2025—September 25, 2025 (Thursday), 4:10 pm Spencer Dowdall, Vanderbilt University Counting Mapping Classes by Type In the classic “lattice point counting problem” for a group acting on a metric space, the goal is to count the number of orbit points of the action in a ball of radius R, and to find the growth rate...