My area of research is algebraic combinatorics, with an emphasis on the representation theory of linear algebraic groups (including general linear groups and the classical groups) and their homogeneous spaces, such as Grassmannians, flag varieties, and Schubert varieties.
Publications:
Spherical Schubert varieties in $GL_n/P$, preprint version of October 30, 2026.
-There are also an extended abstract and a video of my talk from FPSAC 2026.
Separating dots with circles, joint with James Beyer and Greg Muller, preprint version of May 28, 2025.
Proof of the Newell-Littlewood saturation conjecture, preprint version of Aug 30, 2024, submitted.
-There are also an extended abstract and a poster from FPSAC 2025.
In preparation:
Generic orbit dimensions of Schubert varieties
Newell-Littlewood Numbers and Möbius Honeycombs.