I’m Aram Bingham, a PhD student in mathematics working under Mahir Bilen Can. My interests include algebra, combinatorics, number theory, geometry 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 joint work in progress on Kazhdan-Luzstig polynomials of affine Weyl groups of small rank. Below are links to my papers.
- Ternary arithmetic, factorization, and the class number one problem, 2020
- DIII clan combinatorics for the orthogonal Grassmannian, with Ozlem Ugurlu, 2019.
- 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, 7, E18.