Casimir Kothari
Email: ckothari (at) bu (dot) edu.
I am a Postdoctoral Associate at Boston University, interested in algebraic geometry and number theory.
I received my PhD at the University of Chicago, where my advisor was Matthew Emerton. My graduate studies were supported by an NSF Graduate Research Fellowship. Previously, I was an undergraduate at Princeton University.
Research
Recently I have been interested in moduli of finite locally free group schemes, and in de Rham cohomology and Hodge theory in positive and mixed characteristic.
- Cartier–Dieudonné Theory of Connected Group Schemes, with Joshua Mundinger. In preparation.
- Dieudonné theory for n-smooth group schemes, with Joshua Mundinger. To appear in Algebra and Number Theory. [pdf] [arXiv] [informal talk notes] [companion note]
- Duality of differential operators and algebraic de Rham cohomology, with Caleb Ji, Oliver Li, Svetlana Makarova, Shubhankar Sahai, and Sridhar Venkatesh. [pdf] [arXiv]
- Arbitrarily large jumps in the de Rham and Hodge cohomology of families in characteristic p . To appear in Journal de Théorie des Nombres de Bordeaux. [pdf] [arXiv]
- The Explicit Sato–Tate Conjecture for Primes in Arithmetic Progressions , with Trajan Hammonds, Noah Luntzlara, Steven J. Miller, Jesse Thorner, and Hunter Wieman. International Journal of Number Theory, Vol. 17, No. 08, pp. 1905–1923 (2021). [pdf] [arXiv]
Talk Notes
- Group Schemes over the Integers and Galois Representations
- Dieudonné theory for n-smooth group schemes
- Group Schemes and Dieudonné Theory
- The Moduli Stack of Displays [video]
- Modular Curves and Shimura Varieties
- Revisiting Failure of Hodge Symmetry in Characteristic p
- Motivating Witt Vectors and Delta Rings
- Differential Forms in Positive Characteristic and the Cartier Isomorphism