Research

Preprints

Toda-type presentations for the quantum \(K\)-theory of partial flag varieties
with Kamyar Amini, Irit Huq-Kuruvilla, Leonardo C. Mihalcea, and Weihong Xu
arXiv

Stable-limit partially symmetric Macdonald functions and parabolic flag Hilbert schemes
with Milo Bechtloff Weising
arXiv

A geometric realization of partially-symmetric Macdonald polynomials
with Ben Goodberry
arXiv

Publications

Wreath Macdonald operators
with Mark Shimozono and Joshua Jeishing Wen
Forum of Mathematics Sigma 2025
published, arXiv

Peter-Weyl theorem for Iwahori groups and highest weight categories
with Evgeny Feigin, Anton Khoroshkin, and Ievgen Makedonskyi
Transformation Groups 2025
published, arXiv

Nonsymmetric \(q\)-Cauchy identity and representations of the Iwahori algebra
with Evgeny Feigin and Ievgen Makedonskyi
Kyoto Journal of Mathematics 2025
arXiv

Wreath Macdonald polynomials, a survey
with Mark Shimozono
AMS Contemporary Mathematics 2024
published, arXiv

Difference operators for wreath Macdonald polynomials
with Mark Shimozono
Proceedings of Symposia in Pure Mathematics 2024
published, arXiv

Identities of inverse Chevalley type for graded characters of level-zero Demazure submodules over quantum affine algebras of type C
with Takafumi Kouno and Satoshi Naito
Algebras and Representation Theory 2024
published, arXiv

Equivariant \(K\)-theory of the semi-infinite flag manifold as a nil-DAHA module
Selecta Mathematica 2023
published, arXiv

Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type
with Cristian Lenart, Satoshi Naito, and Daisuke Sagaki
Advances in Mathematics 2023
published, arXiv

Wreath Macdonald operators (extended abstract)
with Mark Shimozono and Joshua Jeishing Wen
Séminaire Lotharingien de Combinatoire 2023
published

Quiver Hall-Littlewood functions and Kostka-Shoji polynomials
with Mark Shimozono
Pacific Journal of Mathematics 2022
published, arXiv

On cyclic quiver parabolic Kostka-Shoji polynomials
with Mark Shimozono
Journal of Combinatorial Theory Series A 2022
published, arXiv

Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type
with Takafumi Kouno, Satoshi Naito, and Daisuke Sagaki
Forum of Mathematics Sigma 2021
published, arXiv

Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds
with Satoshi Naito and Daisuke Sagaki
Advances in Mathematics 2021
published, arXiv

On the double-affine Bruhat order: the \(\varepsilon = 1\) conjecture and classification of covers in ADE type
with Dinakar Muthiah
Algebraic Combinatorics 2019
published, arXiv

Generalized Weyl modules and nonsymmetric \(q\)-Whittaker functions
with Evgeny Feigin and Ievgen Makedonskyi
Advances in Mathematics 2018
published, arXiv

Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties
with Dinakar Muthiah
AMS Contemporary Mathematics 2018
published, arXiv

Specializations of nonsymmetric Macdonald-Koornwinder polynomials
with Mark Shimozono
Journal of Algebraic Combinatorics 2018
published, arXiv

Stochastic higher spin six vertex model and \(q\)-TASEPs
with Leonid Petrov
Advances in Mathematics 2017
published, arXiv

Nonsymmetric difference Whittaker functions
with Ivan Cherednik
Mathematische Zeitschrift 2015
journal, arXiv

One-dimensional nil-DAHA and Whittaker functions II
with Ivan Cherednik
Transformation Groups 2013
journal, arXiv

One-dimensional nil-DAHA and Whittaker functions I
with Ivan Cherednik
Transformation Groups 2012
published, arXiv