Research Interests:

One of my favorite things to explore is finding ways to create visual representations of complicated algebraic structures. I particularly love the world of algebraic combinatorics, especially when there are connections to cluster algebras and representation theory. 

Papers:

A Geometric Model for Semilinear Locally Gentle Algebras (joint with Esther Banaian, Raphael Bennett-Tennenhaus, and Karin Jacobsen)

Matrix Formulae and Skein Relations for Quasi-Cluster Algebras (joint with Cody Gilbert and McCleary Philbin)

Double and Triple Dimer Partition Functions in Gr(3,n) [to appear in Algebraic Combinatorics](joint with Moriah Elkin and Gregg Musiker)

Marked Non-Orientable Surfaces and Cluster Categories via Symmetric Representations ( joint with Véronique Bazier-Matte and Aaron Chan)

Mixed Dimer Configuration Model for Type D Cluster Algebras [Electronic Journal of Combinatorics] (joint with Gregg Musiker) 

Mixed Dimer Configuration Model for Type D Cluster Algebras II: Beyond the Acyclic Case [to appear in Electronic Journal of Combinatorics] (joint with Gregg Musiker and Libby Farrell)

Friezes over Z[√2] [to appear in Involve] (joint with Esther Banaian, Libby Farrell, Amy Tao, and Joy Zhichun Zhang)

Quivers from Non-Orientable Surfaces (joint with Véronique Bazier-Matte, Linda He, Ruiyan Huang, and Hanyi Luo)

Triangulations of Almost-Complete Graphs (joint with Padraic Bartlett, Kim Pham and Landon Settle)