I am a mathematics PhD student at Princeton University; however, I will be at the University of Regensburg in the working group of Professor Denis-Charles Cisinski until the end of summer 2017. At the moment, my research interests are related to motives. Recently, I have been thinking about
- (Stable) motivic homotopy theory and its connections to classical and etale homotopy theory;
- Triangulated categories of mixed motives and relation between rigid and \ell-adic cohomology;
- Derived motivic measures; and
- Motivic integration and its applications.
Papers and Preprints.
Stable \'Etale Realization and Comparison of SH(k) to SH. Submitted. PDF