My main research interests include algebraic K-theory and equivariant stable homotopy theory, and I am also interested in higher category theory and its connections to homotopy theory. Previously, I have worked with model categories which has been the subject of my recent paper, "Homotopy Theory of Ordered Simplicial Complexes". This coming year, I will also be a participant in WIT under the project "Constructing Categorical Models for Equivariant Little Disk Operads."

Homotopy Theory of Ordered Simplicial Complexes. to appear in Homology, Homotopy, and Applications. 2026.

Eigenvalues of Laplacians on Higher Dimensional Vicsek Set Graphs. With Shiping Cao and Robert Strichartz. Fractals, Vol. 30, No. 1. 2022.