Previously, I was PhD student of Mahir Bilen Can. My interests include algebra, combinatorics, number theory, geometry, computational complexity, and the anthropology of mathematics.
I work mostly on combinatorics related to algebraic geometry and representation theory, though I also have an abiding interest in algorithmic number theory. Most of my papers are on symmetric spaces and their embeddings, which provide a nice context for generalizing Coxeter group combinatorics to certain kinds of involutions or “clans.” I also have work on Kazhdan-Lusztig polynomials and some elementary number theory. Most recently, I am working on methods of computing Kronecker coefficients in the combinatorial representation theory of the symmetric group. Below are links to some of my papers.
- Kazhdan-Lusztig polynomials for , with Karina Batistelli and David Plaza, 2021.
- Ternary arithmetic, factorization, and the class number one problem, 2020.
- DIII clan combinatorics for the orthogonal Grassmannian, with Ozlem Ugurlu, 2019 (Australasian Journal of Combinatorics, 2021).
- Sects and lattice paths over the Lagrangian Grassmannian, with Ozlem Ugurlu, 2019. (Electronic Journal of Combinatorics, 2020)
- Sects, with Mahir Can, 2018. (Journal of Algebra, 2020)
- A filtration on equivariant Borel-Moore homology, with Mahir Can and Yildiray Ozan, 2018. (Forum of Mathematics, Sigma, 2019).
I wouldn’t have made it this far in math without enjoying the pleasure of teaching and sharing knowledge. I have taught the following courses as primary instructor, and many more as recitation/lab instructor:
MATH/CMPS 2170 – Intro to Discrete Math (Spring 2021)
MATH/CMPS 2170 – Intro to Discrete Math (Fall 2020)
MATH 1230 – Statistics for Scientists (Fall 2019)
MATH 1110 – Probability and Statistics (Summer 2017)
MATH 1160 – Long Calculus II (Spring 2017)
Some of my favorite teaching experiences have been with the Center for Academic Equity at the Tulane University of Louisiana. I was an instructor for their NTC Summer Experience in 2017 and 2018 and have also led Calculus workshops for students affiliated with the Center during the semester.