Research

Research Interests:

My research interests include the following topics.

• Equivariant stable homotopy theory

• Equivariant analogues of complex cobordism

• Equivariant formal group laws

• Spectral algebra

• Equivariant algebra (i.e. the algebra of Mackey functors, Green functors, and Tambara functors)

Papers:

1. The E_2^{hC_6} homology of RP^2 and RP^2 \wedge CP^2  with Irina Bobkova, Emmett Fitz, Mattie Ji, Peter Kilway, Hillary Kim, Kolton O'Neal, Jacob Schuckman, and Scotty Tilton (2024)

2. Periodic phenomena in equivariant stable homotopy theory. with Mark Behrens,  submitted to Quarterly Journal of Mathematics (2024)

3. Cobordism of G-manifolds. accepted for publication in ``Group Actions and Equivariant Cohomology", Contemporary Mathematics, AMS, (2024)

4. A localization theorem for equivariant connective K theory. , (2022)

5. Complex cobordism with involutions and geometric orientations. submitted to Adv. in Math., (2022)

6. Realizability of uniform ramification types (with Souparna Purohit, Michael Zieve). in preparation, (2017)

7. Indecomposable realizations of branch data over surfaces (with Souparna Purohit, Michael Zieve). in preparation, (2017)

The papers 6. and 6. were written as part of Michael Zieve's 2017 REU.