Research
Research
My research focuses on algebraic combinatorics, particularly the enumerative properties of linear subspace intersections via Schubert polynomials, pipe dreams, and permutation patterns.
Published
Two proofs of Rubey’s lattice conjecture (joint with Ilani Axelrod-Freed, Sara Billey, Colin Defant, Connor McCausland). Proceedings of the 38th International Conference on Formal Power Series and Algebraic Combinatorics 2026. FPSAC Abstract.
A proof of Rubey’s lattice conjecture (joint with Sara Billey, Connor McCausland). Combinatorial Theory (2026) To appear. arxiv.org/abs/2507.18852.
Self-supervised poisson-gaussian denoising (joint with Wesley Khademi, Sonia Rao, Guy Hagen, Jonathan Ventura). 2021 IEEE Winter Conference on Applications of Computer Vision (WACV) 2021. 10.1109/WACV48630.2021.00218
Joint Mathematics Meeting Upcoming invited talk
in Special Session: Posets, lattices, and semilattices in algebraic and geometric combinatorics
Sage Days 130.5 (UQAM)
Attendee
University of Washington Combinatorics Seminar
Talk: A proof of Rubey’s lattice conjecture Winter 2025
SLMath: Graphical Models in Algebraic Combinatorics
Attendee Summer 2025
coming soon!