My research is in arithmetic geometry and number theory. I am particularly interested in p-adic geometry, cohomological constructions, arithmetic distributions, formal groups, and the integral structures that connect them.

Research interests

  • Arithmetic and p-adic geometry
  • Motivic and syntomic cohomology
  • Poincaré bundles and Eisenstein classes
  • p-adic Fourier theory and distributions
  • Formal groups and deformation theory
  • Iwasawa theory and special values of L-functions
  • Connections with chromatic homotopy theory

Preprint · 2026

Integral trace duality and the Witt filtration on Lubin–Tate space

This paper relates Rezk's Witt filtration on Lubin–Tate deformation spaces to the integral trace pairings of finite subgroup schemes. It establishes a recursion for the filtration and computes the cokernel of a universal trace pairing.

arXiv:2610.18246 · PDF · Research overview