Research
My research is in equivariant homotopy theory.
My thesis focuses on the algebraic structure of twisted topological Hochschild homology (THH) and the twisted 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 works in homotopical combinatorics, studying the relationship between homotopy theory and combinatorics through transfer systems.
Preprints and Publications
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
Some Past Presentations
Algebraic structures of twisted topological Hochschild homology
JMM Slides - January 2024
Lesser Simply Paired Transfer Systems
JMM Slides - January 2024
Computational approaches to twisted topological Hochschild homology
UPenn Homotopy Seminar - April 2023 (Note that this was not meant to be a slide talk)
Hochschild homology for Green functors
eCHT Equivariant Algebra Reading Seminar - April 2021
Poster for my University of Kentucky Math Club talk - Made by Sydney Yeomans, pictures by Maxine Calle (as seen in this article)