Skip to main content

Math Calendar

Upcoming Events

December 5, 2023 (Tuesday), 4:10 pm

Computational Analysis Seminar

A Family of Universally Optimal Configurations on Rectangular Flat Tori- Location- SC 1310

Nate Tenpas – Vanderbilt University

We’ll show how recently introduced linear programming bounds can be used to show the optimality of certain lattice configurations in $\mathbb{R}^2$ among a large class of periodic configurations. Some of the lattice configurations address the important conjecture that the hexagonal lattice is universally optimal, while others provide a new, and largest of its kind, class of periodic energy minimizers which are not obtained from a universally optimal lattice.

December 6, 2023 (Wednesday), 4:30 pm

Topology & Group Theory Seminar

Uniformly bounded representations of hyperbolic groups. Location – SC 1308

Kevin Boucher – University of Southampton

After an introduction to the subject of boundary representations of hyperbolic groups, I will present some recent developments motivated by a spectral formulation of the so-called Shalom conjecture. This is a joint work with Dr. Jan Spakula.

December 7, 2023 (Thursday), 9:00 am

Title: Grading and Fairness- Professional Learning Community for (new) Math Instructors and TA’s

Alice Mark – Vanderbilt University

The plan is to watch and discuss another of the video cases for college math instruction.

December 7, 2023 (Thursday), 3:00 pm

Computational Analysis Seminar

Special Seminar – Asymptotics of First Hitting Times and Spiky Patterns with Lévy Flights – Room: SC1310

Daniel Gomez –

How long will a confined Brownian particle take to first hit a small target? It is well known that as the target size decreases the mean-first-hitting-time (FHT) diverges in dimensions two and greater, whereas it remains bounded in one dimension. What happens if the particle instead exhibits Lévy flights? In this talk I will describe how asymptotic techniques can be used to characterize the mean-FHT for a Lévy flight in a periodic one-dimensional domain. These asymptotic results show us that as the stability index of the Lévy flight is decreased we recover behavior that is qualitatively similar to that of a one-, two-, and higher-dimensional Brownian particle. This is not an accident, but rather a direct consequence of both the properties of one-dimensional Lévy flights, as well as of the singular behavior of certain fractional Green’s functions. Using this latter point as a springboard, I will conclude by outlining how similar asymptotic techniques can be used to study spike solutions to one-dimensional singularly-perturbed fractional reaction-diffusion equations.


May 13, 2024 (Monday), 9:00 am

2024 Shanks International Conference on L-functions and Automorphic Form- May 13th – May 16th, 2024