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. Broadly, my research interests are at the intersection of algebraic geometry and algebraic topology. 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.
Papers and Preprints.
Stable \'Etale Realization and Comparison of SH(k) to SH. Submitted. arXiv:1705.03575v1