I study chromatic stable homotopy theory from the point of view of the geometry of formal groups and *p*-divisible groups. I'm particularly interested in transchromatic questions: what happens when formal groups change height, and what this tells us about chromatic localizations. I'm also interested in using the analytic geometry of Lubin-Tate space to study the action of the Morava stabilizer group.

Dominic Leon Culver and Paul VanKoughnett, *On the K(1)-local homotopy of tmf∧tmf* (2019), arXiv:1908.01904.

Piotr Pstrągowski and Paul VanKoughnett, *Abstract Goerss-Hopkins-Theory* (2019), submitted, arXiv:1904.08881.

My thesis: *Localizations of *E*-theory and Transchromatic Phenomena in Stable Homotopy Theory.*