My research is in equivariant homotopy theory. My thesis focuses on computational approaches to twisted topological Hochschild homology (THH) through the use of the equviariant Bökstedt spectral sequence. These computational approaches include using Mackey field coefficients in the equivariant Bökstedt spectral sequence and understanding the algebraic structure of both twisted THH and the equivariant Bökstedt spectral sequence.

I am also in a Women in Topology (WIT) group with Kristen Mazur, Angélica M. Osorno, Constanze Roitzheim, Rekha Santhanam, and Valentina Zapata Castro. Our group is focusing on the relationship between homotopy theory and combinatorics through transfer systems.

Uniquely compatible transfer systems for cyclic groups of order p^{r}q^{s}

Kristen Mazur, Angélica M. Osorno, Constanze Roitzheim, Rekha Santhanam, Danika Van Niel, and Valentina Zapata Castro

arXiv: 2401.13523