Research

Preprints of all my manuscripts are available on Arxiv.

Research Publications and Preprints  

• "Proto-Exact Categories of Matroids Over Idylls and Tropical Toric Reflexive Sheaves," (with J. Jun and C. Wright). Preprint available at https://arxiv.org/abs/2509.08144.

• “On Semisimple Proto-Abelian Categories Associated to Inverse Monoids,” J. Algebra 686, January 2026. Available online at https://www.sciencedirect.com/science/article/abs/pii/S0021869325004855.   

• “Pointed Hopf Algebras of Discrete Corepresentation Type,” (with M. Iovanov, S. Zhu, and E. Sen), J. Pure Appl. Algebra 228, no. 4, April 2024. Available online at https://doi.org/10.1016/ j.jpaa.2023.107541.     

• "On the Combinatorics of F1-Representations of Pseudotree Quivers," (with  J. Jun and J. Kim). Preprint available at https://arxiv.org/abs/2301.07221 

• “Coefficient Quivers, F1-Representations, and Euler Characteristics of Quiver Grassmannians,” (with J. Jun), Nagoya Math. J. (2023). Available online at https://doi.org/10.1017/ nmj.2023.37. 

• “On Quiver Representations over F1,” (with J. Jun), Algebr. Represent. Theory (2021). Available online at https://doi.org/10.1007/s10468-021-10092-4.  

• "Ore Extensions and Infinite Triangularization," (with M. Iovanov and J. Edison), J. Algebra 572, no. 1, December 2020. Available online at https://www.sciencedirect.com/science/article/pii/S0021869320306293.  

• “On Isoclasses of Maximal Subalgebras Determined by Automorphisms,” Categorical, Homological and Combinatorial Methods in Algebra (AMS Special Session in honor of S. K. Jain's 80th birthday, A. Srivastava, A. L'Roy, I. Herzog and P. A. Guil Asensio (Eds.), Contemp. Math. 751, June 2020. Available at https://bookstore.ams.org/conm-751.  

• “Maximal Subalgebras of Finite-Dimensional Algebras” (with M. Iovanov), Forum Math. 30, no. 5, September 2019. Available online at https://www.degruyterbrill.com/document/doi/10.1515/forum-2019-0033/html?srsltid=AfmBOoqY0h9ElAlrqWuctLCN6Iz4Kli8Crah-phO9-77pUwJQV_4xxOr.

• “On the Toepliz-Jacobson Algebra and Direct Finiteness” (with M. Iovanov), Groups, Rings, Group Rings, and Hopf Algebras, Contemp. Math. 688, May 2017. Available at https://bookstore.ams.org/conm-688/. 

Other Publications 

• I participated in the 2017 MSRI Summer Workshop in Soergel Bimodules. As part of my participation, I helped write the chapter "Generators and Relations for Bott-Samelson Bimodules and the Double Leaves Basis" (with B. Elias, S. Makisumi, U. Thiel and G. Williamson) of the book Introduction to Soergel Bimodules by B. Elias, S. Makisumi, U. Thiel, G. Williamson, Springer-Verlag, 2020, p. 149-178. The book can be found here.

Supervision of Undergraduate Research 

• Audrey Winden at SUNY New Paltz Spring 2025 - Summer 2025, on Reed-Muller codes of F1-representations of quivers. Supported through SUNY New Paltz by a SURE grant.