Research
I am open to new research areas and problems! These lists will give you an idea of what I am into these days and in the past, but I am always looking to the future. Contact me if you want to know more about a problem from these lists or if you would like to discuss some new problems! You can find my contact information in the home page.
My research areas
Representation theory
Combinatorics
Structural coefficients
Symmetric functions and their generalizations
Polynomials
Schubert polynomials
Chromatic polynomials
Macdonald polynomials
Kohnert polynomials
Coefficients
Kronecker coefficients & its reduced version
Plethysm coefficients
I know a little bit about
Hopf algebras
Quantum Hall effect
Signatures of paths
SuperSpace
Co-organizer
Triangle Lectures in Combinatorics
(Fall 2022 - present)Algebra and Combinatorics seminar at NCSU
(Fall 2021 - present)AlCoVE - Algebraic Combinatorics Virtual Expedition
(with Maria Gillespie, Oliver Pechenik, and Liam Solus, Summer 2020- present)
Current students & postdocs
Alex Steward (grad student, Fall 2023-present, NCSU)
Ian Klein (grad student, Fall 2022-present, NCSU)
Nick Mayers (postdoc, Fall 2022-present, NCSU)
Spencer Daugherty (grad student, February 2024, NCSU)
Fall 2024 -> University of Colorado Boulder
I also co-organized...
AIM UP (July 6-31, 2020)
(with Ayomikun Adeniran, Susanna Fishel, Pamela E. Harris, Andrés R. Vindas Meléndez, and Michael Young)FPSAC 2020 (online version)
(with Alejandro Morales, Dan Betea, Sara Billey, Angela Carnevale, Christian Gaetz, Sean Griffin, Helen Jenne, Jang Soo Kim, Matjaž Konvalinka, and Nicolas M. Thiéry)
Discrete Math Seminar at UMass Amherst
(with Alejandro Morales and Annie Raymond, January 2019 - June 2021)
Discrete Math Day, Spring 2019
(with Alejandro Morales, Ga Yee Park, Annie Raymond, Jordan Tirrell, and Ashley Wheeler)
AMS Spring Eastern Sectional Meeting:
Special Session on Combinatorial Representation Theory
(with Ricky Liu and Rosa Orellana, April 2018)Algebra seminar at York University
(with Nantel Bergeron, 2016 - 2018)
Former undergrad students
Felix Hutchins & Etienne Phillips (undergrad students, Fall 2022-present, NCSU)
Viviene Do (REU student, summer 2021, UMass A)
AIM UP - Project 5 (More details here) (online talk)
Christo Keller (REU student and Honor thesis student, 2020-21, UMass A) (online talk)
Amy Stephen (Independent study, Fall 2019, UMass A)
Ellen Burton (REU student, Summer 2019, UMass A)
Don O'Shea (Independent study, 2017-18, YorkU)
Social Media
12 questions for May 12 - RSME & WOMAT (2020)
Talk at BIRS - Algebraic Combinatorixx 2 (2017)
2 min Math - Fields Institute