Sarah Petersen

I currently hold joint positions as a Visiting Assistant Professor and National Science Foundation (NSF) eCHT Reasearch Training Group Postdoctoral Fellow at the University of Colorado, Boulder under the mentorship of Agnès Beaudry (University of Colorado, Boulder). From September to December 2022, I was a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn, Germany. I received my PhD in Mathematics under the direction of Mark Behrens at the University of Notre Dame in May 2022.

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

• Computational techniques in equivariant homotopy theory

• RO(G)-graded bicommutative Hopf rings and equivariant Brown-Gitler Spectra

• The algebra of Mackey and Tambara functors, especially in relation to twisted topological Hochschild homolology (THH) and  spectral sequences

Publications

• On Splitting Truncated Real Brown-Peterson Spectra (with Guchuan Li and Elizabeth Ellen Tatum) - preliminary results available on request

• Equivariant Witt Complexes and Twisted Hochschild Homology (with Anna Marie Bohmann, Teena Gerhardt, Cameron Krulewski, and Lucy Yang) - submitted

• 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 (accepted, arXiv, talk slides)

CV

Email: sarahllpetersen@gmail.com

Office: MATH 225

Links:

• Research

• Seminars:

  • Graduate Students Reminisce Online On Topology (GROOT) Summer Seminar

  • Notre Dame Graduate Student Topology Seminar

• Teaching

• Notes and Slides

• Advice