I am a mathematician, and in May 2025 I received my PhD in Mathematics at North Carolina State University under the direction of Naihuan Jing. Starting in August 2025, I am an Assistant Professor at the University of Delaware.
Research
In general, I am interested in combinatorics, algebra, representation theory, and number theory. More specifically, my research mainly focused on algebraic combinatorics and symmetric functions. Much of my work involves the vertex operator construction of the Schur functions, Schur's Q-functions, and Hall-Littlewood functions. Namely, I work to understand combinatorial properties of these vertex operators, and find applications to symmetric function properties. For example, the vertex operator method provides a way to prove the stability of various structure constants, such as plethysm coefficients and multiplication coefficients. My current work focuses on understanding the Hall-Littlewood vertex operator and its applications.
I use computer algebra to assist with research. Namely, I use a computer algebra system called Macaulay2. I've implemented several algorithms in Macaulay2 to compute Schur's Q-functions, (skew) Hall-Littlewood functions, and plethysm. The code is available on my GitHub page. I've recently written a package called "Tableaux" for computations with Young Tableaux.
Work History
- August 2025 - Present, Assistant Professor
Department of Mathematical Sciences, University of Delaware - August 2020 - May 2025, Graduate Student/Teaching Assistant
Department of Mathematics, North Carolina State University
Advisor Naihuan Jing
More information
- My curriculum vitae.