Welcome to my home page!
My mentor is Rahul Pandharipande.
The focus of my research is motivic homotopy theory,
which applies powerful methods of algebraic topology
to shed light on mysteries of algebraic geometry.
"The more I learned, the more conscious did I become of the fact that I was ridiculous. So that for me my years of hard work at the university seem in the end to have existed for the sole purpose of demonstrating and proving to me, the more deeply engrossed I became in my studies, that I was an utterly absurd person."
Fyodor Dostoevsky, The Dream of a Ridiculous Man
Title: New models for motivic K-theory spectra
Abstract: Algebraic and hermitian K-theories of smooth schemes are generalized cohomology theories, represented in the motivic stable homotopy category. In this talk, we explain how to obtain new geometric models for the corresponding motivic spectra, based on the specific kinds of transfer maps that these cohomology theories acquire. As a surprising side-effect, we compute the motivic homotopy type of the Hilbert scheme of infinite affine space. This is joint work with Marc Hoyois, Joachim Jelisiejew, Denis Nardin and Burt Totaro.