Casimir Kothari

Email: ckothari (at) uchicago (dot) edu.

I am a fifth year graduate student at the University of Chicago interested in algebraic geometry and number theory. My advisor is Matthew Emerton.
I am grateful to be supported by an NSF Graduate Research Fellowship. Previously, I was an undergraduate at Princeton University.

Research

• Dieudonné theory for n-smooth group schemes, with Joshua Mundinger. Submitted. [pdf] [arXiv] [Informal talk notes]
  
  
• 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 cohomology of families in characteristic p. In revision. [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

• 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

Other Notes

• The Hodge Numbers of Projective Hypersurfaces