My research is in equivariant homotopy theory. More specifically, I study the commutative and homological algebra of Mackey functors and (incomplete) Tambara functors. I am also interested in trace methods and algebraic K-Theory. My advisor is Inna Zakharevich.

Research Statement (Last updated 31 October 2021)

## Papers and Preprints

• Free incomplete Tambara functors are almost never flat. With Mike Hill and J.D. Quigley. Preprint 2021. To appear in International Mathematical Research Notices. [arXiv]

## Talks

• UCLA Topology Seminar. November 2021.

• Rochester Topology Seminar. October 2021.

• Johns Hopkins Topology Seminar. October 2021.

• Free incomplete Tambara functors are almost never flat. GROOT Summer Seminar. May 2021. [YouTube]

• Topological Hochschild Homology of $$\mathbb Z$$ and $$\mathcal O_K$$ as Thom Spectra. Arizona Winter School, University of Arizona, March 2019. Project group presentation. [Slides]

• Why is Algebraic K-theory Hard? NYRGMC, Syracuse University, March 2018. Expository Talk.

• Stable Homotopy Theory and Algebra over Spheres. BUGCAT, Binghamton University, October 2017. Expository Talk. [Notes]

• An Eckmann-Hilton Argument for 2-categories. Young Topologists' Meeting, KTH Royal Institute of Technology, Stockholm, Sweden, July 2017.