I am a mathematics PhD student at Princeton University (expected 2018) with a focus on Voevodsky's theory of motives and its connections and applications to stable homotopy theory, birational geometry, and arithmetic. Recently, I have been thinking about
- Integration of Voevodsky motives, motives of K-equivalent varieties, and connections to the existence of motivic t-structures;
- Triangulated categories of mixed motives and l-independence;
- Motivic zeta functions;
- Derived motivic measures; and
- (Stable) motivic homotopy theory and its connections to classical and etale homotopy theory.
Papers and Preprints.