Joe Webster
About:
I am an assistant professor in Mathematics at Grinnell College. I am interested in number theory, combinatorics, mathematical physics, and the interplay between them.Before coming to Grinnell, I was a postdoc in Mathematics at University of Virginia. I received my PhD in Mathematics at University of Oregon in June of 2021. Here is my CV (last updated August 2023).
Current Teaching:
- Functions and Differential Calculus (MAT 123-01)
- Calculus II (MAT 133-01 and MAT 133-05)
Papers:
- log-Coulomb gas with norm-density in p-fields, in p-Adic Numbers, Ultrametric Analysis and Applications, 2021.
- log-Coulomb gases in the projective line of a p-field, in p-Adic Numbers, Ultrametric Analysis and Applications, 2023.
- Large power asymptotics for lattice gauge theories, with A. Abdesselam and G. Uraltsev (in preparation).
- Large power asymptotics for spin models with values in homogeneous spaces, with A. Abdesselam and G. Uraltsev (in preparation).
Posters and Talk Slides:
- Poster titled A p-adic Integral by Combinatorics for Oregon Number Theory Days (Oregon State University, February 2019).
- Slides for log-Coulomb gas in a nonarchimedean local field (Oregon State University, April 2019).
- Slides for Estimating a p-adic volume via coin problems (Portland State University, February 2020).
- Slides for The p-adic Mehta Integral: Formulas, Functional Equations, and Combinatorics (University of Virginia, September 2021).
Other Things:
- A Desmos example demonstrating the convergence of six important Maclaurin series.
- A Desmos example demonstrating the convergence of Fourier series for a square wave and the odd/even saw functions.
- Two Desmos examples (1 and 2) demonstrating the Uncertainty Principle and information carried by a Fourier transform.
- A Desmos example about the Fourier series for Bernoulli polynomials. It is closely related to an interesting formula for some Riemann zeta values recalled here.
Contact:
Email: websterjoe ~ at ~ grinnell ~ dot ~ eduOffice: Noyce Science Center 2221