## 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.

In Summer 2020, I joined other early-career mathematicians by becoming a member of the 2020 cohort for Project NExT, a professional development program sponsored through the MAA for new or recent PhDs in the mathematical sciences.

In Summer 2021, I participated in the Park City Mathematics Institute's Undergraduate Faculty Program (UFP), a program that is aimed at faculty members from all types of colleges and universities who have strong interests in undergraduate teaching and research. UFP 2021 focused on motivic Milnor numbers.

## Research

My research interests lie primarily in representation theory and number theory. In the majority of my current research, I use techniques from statistical mechanics, 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. More recently, I have been studying colored ice models, which have surprising connections to Demazure operators and Kashiwara crystals. Even more recently, I have been studying $\mathbb{A}^1$-Milnor forms and algebraic singularities and their connections to Puiseux series and Newton polygons.

## Teaching

### Spring 2023:

Calculus II syllabus

Introduction to Statistics

### Past:

College Algebra and Probability

Calculus I

Calculus II syllabus

Multivariable Calculus Fa2020 syllabus Fa2022 syllabus

Linear Algebra syllabus

Differential Equations

Discrete Mathematics syllabus

Real Analysis syllabus

Number Theory

Point-Set Topology syllabus

**Grad Teaching Assistant**

Precalculus

Short Calculus

CSE Calculus I

Honors Calculus I

Honors Calculus II

Multivariable Calculus

Honors Calculus IV

Sequences, Series, Foundations (writing intensive)

**Grader**

Advanced Calculus II

## 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 204

Email: `ngray` (at) `oberlin.edu`

Phone: (440) 775-8972

**Mathematics Department**

King Building 205

10 N. Professor Street

Oberlin, OH 44074