About me
I'm a third year grad student at Northwestern, and my research is mainly advised by Mike Hill. Algebraic topology, or more precisely chromatic equivariant homotopy theory, is what I like to study. In my free time I like to cook, play indie video games, and build Legos. I'm the current president of the Northwestern chapter of Spectra, an organization for LBGTQ+ mathematicians, and I'm currently co-organizing an informal seminar on synthetic spectra.
Research Interests
I'm really interested in how the chromatic story plays out equivariantly. For example, what are the "right" equivariant/global versions of MU, BP, Morava K-theories, and Lubin-Tate theories, and what can they tell us about the structure of equivariant/global homotopy categories? More generally, I'm also interested in computing Balmer spectra and determining Nullstellensatzian objects (in the sense of Burklund-Schlank-Yuan).
For my dissertation, I'm trying to figure out an equivariant version of the Landweber exactness theorem, which provides sufficient conditions on a formal group law for it to come from a complex oriented spectrum. I'm also interested in the Balmer spectra of various categories showing up in homotopy theory, including those in the motivic, equivariant, and global contexts.
Extra Stuff
English translation of Christian Okonek's paper On the Conner-Floyd Isomorphism for Abelian Groups