Research

Poisson Embeddings of Moduli Spaces of Hyperbolic Surfaces (with S. Hamlin, X. Lian, S. Sottile, Z. Zhan; mentored by M. Shapiro and L. Chekhov).  Ongoing project in geometry using tools from cluster theory. Here is a presentation of our preliminary results.
Paper in preparation.

Scannable divides of finite mutation type (with R. Lynch, S. Nguyen, E. Pesikoff, S. Zhang; mentored by P. Pylyavskyy). Ongoing REU project involving Cluster Algebras and Singularity Theory. Here is a preliminary report and a presentation and here is a link to Vic Reiner's website with more information about the program. Paper in preparation.

 Plane Partitions, Pascal Quivers and Cluster Algebras (with Ruowei Ma; mentored by Honghao Gao and Linhui Shen). Ongoing project in combinatorial cluster Theory. Here is a presentation and a poster detailing our preliminary results. Paper in preparation.

Rowmotion on rooted trees (with J. Kimble, J. Liang, J. Lou, B. Sagan, Z. Stewart). Séminaire Lotharingien de Combinatoire, submitted August 2022. arxiv:2208.12155. Here is a PDF of the preprint. 

Matching Hodge structures (with Evan Bell, Minghao Zhao and mentored by François Greer). January 2022-May 2022. Here is a presentation with our preliminary results.