Brief Bio

I am a Visiting Assistant Professor in the Mathematics Department at Oberlin College. Before that, I was a Visiting Lecturer for three years at Mount Holyoke College. I obtained my PhD at the University of Minnesota-Twin Cities under the advising of Benjamin Brubaker.

Research

My research interests lie primarily in representation theory and number theory. In the majority of my current research, I use techniques of statistical mechanics (an area of physics), such as statistical-mechanical models and the Yang–Baxter equation, to study interesting objects in the representation theory of algebraic groups with connections to number theory. I have used such techniques to present new formulas for some nonarchimedean metaplectic Whittaker functions, which arise in the local theory of automorphic forms.

I have continued to study further connections between these "ice models," Whittaker functions, and Eisenstein series. I have taken an interest in colored ice models, which have surprising connections to Demazure operators and Kashiwara crystals. Another recent interest (albeit unrelated) involves staircase tableaux and the cyclic sieving phenomenon (seen in combinatorics).

Teaching

Fall 2020:

Spring 2021:

  • STAT 113: Introduction to Statistics
    MATH 317: Number Theory

Past (Mount Holyoke College):

Past (University of Minnesota):

Some Papers

Duality for metaplectic ice (with Ben Brubaker, Valentin Buciumas, and Dan Bump). Commun. Number Theory Phys., volume 13, number 1 (2019). arXiv:1709.06500v3.

(submitted) Metaplectic ice for Cartan type C. (2017) arXiv:1709.04971v2.

(in preparation) Colored non-nested five-vertex models and Demazure atoms.

(in preparation) A comparison theorem for local Whittaker functions and global Eisenstein series.

Contacting Me

Office: King Building 120
Email: ngray (at) oberlin.edu
Phone: (440) 775-8972

Mathematics Department
King Building 205
10 N. Professor Street
Oberlin, OH 44074