## Brief Bio

I am a Visiting Lecturer in the Department of Mathematics and Statistics at Mount Holyoke College. Before that, I was a graduate student at the University of Minnesota-Twin Cities, where I obtained my PhD in 2017 under the advising of Benjamin Brubaker.

Beginning in Fall 2020, I will be a Visiting Assistant Professor in the Mathematics Department at Oberlin College.

## 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 (Oberlin College):

MATH 134: Calculus II

MATH 317: Number Theory

### Past (Mount Holyoke College):

MATH 101: Calculus I

MATH 102: Calculus II syllabus

MATH 203: Calculus III syllabus

MATH 211: Linear Algebra

MATH 232: Discrete Mathematics syllabus

MATH 301: Real Analysis syllabus

MATH 329: Point-Set Topology syllabus

### Past (University of Minnesota):

**Grad Instructor**

MATH 1031: College Algebra and Probability

MATH 1271: Calculus I

**Grad Teaching Assistant**

MATH 1051: Precalculus

MATH 1142: Short Calculus

MATH 1371: CSE Calculus I

MATH 1571H: Honors Calculus I

MATH 1572H: Honors Calculus II

MATH 2263: Multivariable Calculus

MATH 2574H: Honors Calculus IV

MATH 3283W: Sequences, Series, Foundations (writing intensive)

**Grader**

MATH 4604: 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: 417 Clapp Lab

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

Phone: (413) 538-2341

**Department of Mathematics and Statistics**

Mount Holyoke College

50 College Street

South Hadley, MA 01075