I am interested in the interplay between algebra, geometry and combinatorics. Most recently I have been studying flow (and root) polytopes and their connections to (1) Kostant partition functions (as established by Postnikov and Stanley and Baldoni and Vergne in the early 2000s), (2) Grothendieck...
I am interested in the interplay between algebra, geometry and combinatorics. Most recently I have been studying flow (and root) polytopes and their connections to (1) Kostant partition functions (as established by Postnikov and Stanley and Baldoni and Vergne in the early 2000s), (2) Grothendieck polynomials (appearing in my work with Escobar) and (3) the space of diagonal harmonics (appearing in my work with Morales and Rhoades).