Zev Chonoles

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.

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.