Aryaman Jal

I'm a fifth year PhD student under the supervision of Katharina Jochemko and Petter Brändén. I'm a member of the Algebra, Combinatorics and Topology division. My research interests are in geometric and enumerative combinatorics, the geometry of polynomials, matroid theory, and discrete optimization. I am also interested in discrete geometric perspectives of the mathematical foundations of artificial intelligence.

This PhD position is funded by the Wallenberg AI, Autonomous Systems and Software Program (WASP). The graduate school within WASP is dedicated to providing the skills needed to analyze, develop, and contribute to the interdisciplinary area of artificial intelligence, autonomous systems and software. The graduate school actively supports forming a strong multi-disciplinary and international professional network between PhD students. Read more about the WASP graduate school at https://wasp-sweden.org/graduate-school/.

Articles:

1. Real-rootedness of rook-Eulerian polynomials

with Per Alexandersson and Maena Quemener, arxiv:2502.05939.

2. Rook matroids and log-concavity of P-Eulerian polynomials

with Per Alexandersson, arxiv:2410.00127 (submitted).

An extended abstract has been accepted as a talk for FPSAC 2025.

3. Polyhedral combinatorics of bisectors

with Katharina Jochemko, arxiv:2308.14372.

 Advances in Geometry (2025), Volume 25 (2):147-174. DOI: doi.org/10.1515/advgeom-2025-0003

GitHub repo for visualizing bisection fans.