I’m Aram Bingham, a PhD student in mathematics working under Mahir Bilen Can. My interests include algebra, combinatorics, number theory, geometry and history and philosophy of mathematics.
I have been working on the combinatorics and geometry of symmetric spaces and their embeddings. This theory, based in part on fundamental contributions of R. W. Richardson and T. A. Springer, generalizes some of the classic algebraic combinatorics of the symmetric group related to Schubert calculus.
I also have a persistent interest in number theory, especially the algorithmic sort. Below are links to my papers.
- Ternary arithmetic, factorization, and the class number one problem, 2020.
- Sects, rooks, pyramids, partitions and paths for type DIII clans, with Ozlem Ugurlu, 2019.
- Sects and lattice paths over the Lagrangian Grassmannian, with Ozlem Ugurlu, 2019.
- Sects, with Mahir Can, 2018.
- A filtration on equivariant Borel-Moore homology, with Mahir Can and Yildiray Ozan, 2018. Forum of Mathematics, Sigma, 7, E18.