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. Periodic phenomena in equivariant stable homotopy theory. (2024)

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

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

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

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

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

The papers 4. and 5. were written as part of Michael Zieve's 2017 REU.