Research

My research interests mainly lie in representation theory and algebraic combinatorics.

Papers

• Sarah Gold, Elizabeth Milićević, Yuxuan Sun, Crystal Chute Moves on Pipe Dreams, arxiv.

• Zhixing Chen, Yumou Fei, Jiyang Gao, Yuxuan Sun, Yuchong Zhang, Quotients of Special Classes of Positroids, arxiv.

The following works were all done at the REU program of Texas State University, Summer 2022.

• Mallory Dolorfino, Luke Martin, Zachary Slonim, Yuxuan Sun, Yong Yang, Classifying solvable primitive permutation groups of low rank, arxiv, Journal of Computational Algebra, conditionally accepted.

• Mallory Dolorfino, Luke Martin, Zachary Slonim, Yuxuan Sun, Yong Yang, On the characterization of sporadic simple groups by codegrees, arxiv, Bulletin of the Australian Mathematical Society, accepted.

• Mallory Dolorfino, Luke Martin, Zachary Slonim, Yuxuan Sun, Yong Yang, On the characterization of Alternating groups by the codegree set, arxiv, submitted.

Talks

• Graduate Student Combinatorics Conference. Pittsburgh PA, Mar 2023. Slides.

• Young Alumni / Bi-Co Mathematics Colloquium. Haverford PA, Mar 2023. Slides.

• Math Majors Thesis Presentation. Haverford PA, May 2023. Slides.

• Nebraska Conference for Undergraduate Women in Mathematics. Lincoln NE, Jan 2023. Slides.