Research

 I am primarily interested in equivariant and chromatic homotopy theory, as well as the algebra of Mackey and Tambara functors. Topics I think about include:

• Hopf rings and computational techniques in equivariant homotopy theory

• The algebra of Mackey and Tambara functors in relation to 'twisted' spectral sequences

• RO(G)-graded bicommutative Hopf ring data and Dieudonne modules

You can read more in my research statement (written, video).

Publications

• A Thom Spectrum Model for C2-Integral Brown-Gitler Spectra (with Guchuan Li and Elizabeth Ellen Tatum) -  (submitted, arXiv)

• The HF2 - Homology of C2- Equivariant Eilenberg-MacLane Spaces (to appear in Algebraic & Geometric Topology, arXiv, talk slides)

Quantitative science publications outside of algebraic topology:

• Katherine Crank, Sarah Petersen, and Kyle Bibby. (2019). "Quantitative Microbial Risk Assessment of Swimming in Sewage Impacted Waters Using CrAssphage and Pepper Mild Mottle Virus in a Customizable Model". Environmental Science & Technology Letters 2019 6 (10), 571-577, DOI: 10.1021/acs.estlett.9b00468

• Shana Scogin, Sarah Petersen, Jeff Harden, and Bruce Desmarais. (2019). “modeLLtest: An R Package for Unbiased Model Comparison using Cross Validation.” Journal of Open Source Software, 4(41), 1542, https://doi.org/10.21105/joss.01542

Fun: A very important dg - cat