Research
My work
Quick Facts
Homotopy theorist by training, also interested in data analysis
Ph.D. from the University of Colorado under the direction of Agnès Beaudry.
Abbreviated CV is available here.
Research Summary
You can find a video summary of my research interests here. (Created for the Midwest Topology Seminar, Fall 2021.)
My research interests lie in the field of homotopy theory, with frequent connections to homological algebra and category theory. My dissertation solved a problem in the Steenrod algebra (slides here). Other projects have included equivariant stable homotopy theory and stability of topological data clustering methods.
For a brief introduction to algebraic topology and homotopy theory, click here. For a more detailed description of my current projects, click here.
Papers and Preprints
Classifying and Extending Q0 -local A(1)-modules. New York Journal of Mathematics (2023).
With Gerhardt, Hess, Klang, and Kong: A shadow framework for equivariant Hochschild homologies. International Mathematics Research Notices (2022).
Stability for layer points. (Submitted.)
With Gerhardt, Hess, Klang, and Kong: Computational tools for twisted topological Hochschild homology of equivariant spectra. (To appear in the proceedings of Women in Topology.)
With Holmes, Mayfield, Moritz, Scheepers, Tenner, and Wauck: Sorting permutations: Games, genomes, and cycles. Discrete Mathematics, Algorithms and Applications (2017).