## Current Research

I'm currently working on computing the $\mathrm{RO}(G)$-graded cohomology of the equivariant classifying space $B_{C_p}\mathrm{SU}(2)$, with plans to do so for $B_{C_p}\mathrm{SO}(3)$ as well.

The approach closely follows Gaunce Lewis's paper *The $\mathrm{RO}(G)$-graded equivariant ordinary cohomology of complex projective spaces with linear $\mathbb{Z}/p$ actions* and Megan Shulman's thesis *Equivariant local coefficients and the $\mathrm{RO}(G)$-graded cohomology of classifying spaces*.

I'm still gradually learning things from *Equivariant Homotopy and Cohomology Theory*.

I'd be interested in figuring something out about equivariant Steenrod operations maybe.

## Past Research

In 2012, I completed a senior thesis under the direction of Michael Rosen.

Together with Hannah Hausman, Sean Pegado, and Fan Wei, I worked in Allison Pacelli's group at the SMALL REU at Williams College in the summer of 2010. John Cullinan helped us with our project.

- Here is the article we wrote.
- Here are the talk and the poster I presented at the 2011 Joint Mathematics Meetings with Fan Wei.
- This big diagram came up in our research. The single lines denote totally split extensions, the double lines denote totally ramified extensions.

At PROMYS 2008, Tim Kunisky, Erick Knight, and I worked on a project on the function field analog of the Mobius function, and here is our write-up.