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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 support of Grothendieck polynomials. Additionally, I work with lattice models and quantum groups.
I am very grateful for the award and support I received from the department, my advisors, and NSF grants.
UMN Vanky Man Fellowship - Spring 2026
NSF grant DMS-2344764 and DMS-2401470 - Summer 2025
Publications/Talks
Schubert Supports of Grothendieck Polynomials (With Anna Weigandt).
Paper (In progress).
The Prism Tableau Model of Grothendieck Polynomials (With Anna Weigandt).
Paper (In progress).
Poster session (Oct. 7, 2024 @ KOI combinatorics lecture; Mar. 5, 2025 @ ALGECOM; May 30, 2025 @ ALCOVE)
20 min talk - Special Sessions at AMS sectionals (Oct. 17, 2025, in St Louis)
The Combinatorics of Schubert Calculus (Sep. 12, 2024 @ UMN Student Algebra and Combinatorics Seminar)
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)
Illinois Combinatorics Lab for Undergraduate Experience Aug. 2020 -Dec. 2022
Advisors: Prof. Alexander Yong, Prof. Avery St. Dizier University of Illinois at Urbana-Champaign
Illinois Combinatorics Lab for Undergraduate Experience Aug. 2020 -Dec. 2022
Advisors: Prof. Alexander Yong, Prof. Avery St. Dizier University of Illinois at Urbana-Champaign
Gelfand-Tsetlin patterns for Schubert polynomials
Studies of Schubert matroids
University of Minnesota Twin Cities Combinatorics & Algebra REU Jun. 2022-Aug. 2022
Advisors: Prof. Gregg Musiker, Prof. Vic Reiner, Dr. Sarah Brauner University of Minnesota Twin Cities
University of Minnesota Twin Cities Combinatorics & Algebra REU Jun. 2022-Aug. 2022
Advisors: Prof. Gregg Musiker, Prof. Vic Reiner, Dr. Sarah Brauner University of Minnesota Twin Cities
Minimal Matchings of dP3 Cluster Variables
A q-analog of Shuffling Operators
Advisors: Dr. Sarah Brauner, Ms. Patty Commins
Paper at ArXiv (Jul. 2024)
Bender-Knuth Moves on Linear Extension of Posets
Advisors: Prof. Vic Reiner, Dr. Anh Hoang
Published at Discrete Math (Sept. 2023)
Summer Geometry Institute Jul. 2021- Jan. 2022
Advisor: Prof. Justin Solomon, Dr. Paul Zhang Massachusetts Institute of Technology
Summer Geometry Institute Jul. 2021- Jan. 2022
Advisor: Prof. Justin Solomon, Dr. Paul Zhang Massachusetts Institute of Technology
Awarded the Best Technical Paper award at the 2022 SIAM International Meshing Roundtable
Illinois Geometry Lab Sep. 2020- Jun. 2022
Advisor: Prof. AJ Hildebrand University of Illinois at Urbana-Champaign
Illinois Geometry Lab Sep. 2020- Jun. 2022
Advisor: Prof. AJ Hildebrand University of Illinois at Urbana-Champaign
Subsums of Random Numbers
Attended multiple poster/talk sessions including 2022 JMM.
Problem_2__q_Shuffling.pdfA q-analog of Random-to-Random Shuffling (2023 JMM)
Problem_6__Cactus_group_actions_and_tableaux.pdfBender-Knuth Moves on Linear Extension of Posets (2023 JMM)
IGL_Visualizations_Group_2018_2021 (11).pdfSubsums of Random Numbers (2022 JMM)
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