Publications

Mu–involution Schubert polynomials with Zachary Hamaker

We study the Borel orbits in the variety of complete quadrics indexed by mu-involutions and their associated cohomology representatives.

A positive combinatorial formula for the double Edelman–Greene coefficients with Tianyi Yu

We give a combinatorial formula for the double Edelman–Greene coefficients that is manifestly positive using bumpless pipe dreams and increasing chains.

Asymptotically maximal Schubitopes with Linus Setiabrata

We give the precise asymptotics for the growth rate of the maximal supports of Schubert and Grothendieck polynomials.

Newton polytopes of fireworks Grothendieck polynomials with Linus Setiabrata

We study Grothendieck polynomials labeled by fireworks permutations. We give a full description of their support and prove that their homogenizations have M-convex support.

Grothendieck polynomials of inverse fireworks permutations with Tianyi Yu

European Journal of Combinatorics

We provide the first direct combinatorial formula for Castelnuovo-Mumford polynomials and use it to prove a conjecture on the support of Grothendieck polynomials for inverse fireworks permutations.

Constructing maximal pipedreams of double Grothendieck polynomials with Tianyi Yu

Electronic Journal of Combinatorics

We find an explicit algorithm that produces the unique maximal pipe dream corresponding to the leading monomial of a double Grothendieck polynomial under reverse lexicographic order.