My research broadly concerns algebraic combinatorics and representation theory, with particular emphasis on Schubert calculus and symmetric function theory.
My first few projects in graduate school focused on understanding the monomial and Schubert supports of Grothendieck polynomials. More broadly, I study special functions coming from Schubert calculus and representation theory. On the representation theory side, I study Whittaker functions and nonsymmetric Demazure atoms through the lens of lattice models and quantum groups. I also study the multigraded regularity of matrix Schubert varieties.
I am very grateful for the award and support I received from the department and NSF grants from both of my advisors.
UMN Vanky Man Fellowship - Spring 2026
NSF grant DMS-2344764 and DMS-2401470 - Summer 2025, 2026, and Conference Travel
Publications/Talks
Schubert Supports of Grothendieck Polynomials (With Anna Weigandt).
Paper (In progress).
12 min talk - Integrable combinatorics — IMJ-PRG summer school 2026 (upcoming)
20 min talk - Special Sessions at AMS sectionals (slides) (Apr. 18, 2026 @ Fargo, ND)
UMN Student Algebra and Combinatorics Seminar (Jan. 28, 2026 @ Minneapolis, MN)
The Prism Tableau Model of Grothendieck Polynomials (With Anna Weigandt).
Paper (In progress).
20 min talk - Special Sessions at AMS sectionals (slides) (Oct. 17, 2025 @ St Louis)
Poster session
Lightning talk - the combinatorics of Schubert calculus
Lightning talk to Schubert Calculus (Sept. 10, 2025)
The Combinatorics of Schubert Calculus (Sep. 12, 2024)
Undergraduate Research Experience
My undergraduate research experiences are broadly concerned with the combinatorics of Schubert Calculus, and different subsets of algebra, combinatorics, geometry, and probability.
I am extremely grateful for the awards:
University of Illinois Undergraduate Research Certificate (Oct. 2022)
Dr. Lois M. Lackner Mathematics Scholarship (Mar. 2022)
James Scholar Preble Research Award (Dec. 2022)
LAS Life and Career Scholarship (Aug. 2022)
Shing-Tung Yau High School Mathematics Award, Honorable Award (July 2019)
Gelfand-Tsetlin patterns for Schubert polynomials
Studies of Schubert matroids
Minimal Matchings of dP3 Cluster Variables
Mentors: Prof. Gregg Musiker, Dr. Sylvester Zhang
Paper at ArXiv (To be appear in Electronic Journal of Combinatorics)
A q-analog of Shuffling Operators
Mentors: Dr. Sarah Brauner, Dr. Patty Commins
Paper at ArXiv (Jul. 2024; submitted)
Bender-Knuth Moves on Linear Extension of Posets
Mentors: Prof. Vic Reiner, Dr. Anh Hoang
Published at Discrete Math (Sept. 2023)
Awarded the Best Technical Paper award at the 2022 SIAM International Meshing Roundtable
Subsums of Random Numbers
Attended multiple poster/talk sessions including 2022 JMM.
A q-analog of Random-to-Random Shuffling (2023 JMM)
Bender-Knuth Moves on Linear Extension of Posets (2023 JMM)
Subsums of Random Numbers (2022 JMM)