Sasha Pevzner

Department of Mathematics, Northeastern University

prof_pic.jpg

Office: 543B Nightingale

Email: a dot pevzner at northeastern dot edu

About me

Hi! I am a Zelevinsky postdoctoral fellow at Northeastern University studying commutative algebra, invariant theory, and combinatorics. In May 2024, I defended my PhD in Mathematics at the University of Minnesota, under the advisement of Vic Reiner. Broadly I enjoy working in the field of commutative algebra, and I often use free resolutions to study modules with natural symmetries.

Below are some more specific topics that I like (not an exhaustive list!)

  • invariant theory of finite groups
  • minimal free resolutions, finite and infinite
  • representation stability and FI modules
  • working over characteristic 0, p, and maybe not a field!
  • algebraic geometry (learning it bit-by-bit)

Papers

  1. Symmetric group fixed quotients of polynomial rings
    Journal of Pure and Applied Algebra, Volume 228, Issue 4 (2024)

  2. Equivariant resolutions over Veronese rings
    with Ayah Almousa, Michael Perlman, Victor Reiner, and Keller VandeBogert
    Journal of the London Mathematical Society (2024)

  3. Alexander duals of symmetric simplicial complexes and Stanley–Reisner ideals (submitted)
    with Ayah Almousa, Kaitlin Bruegge, Martina Juhnke-Kubitzke, and Uwe Nagel

Upcoming talks

November 19, 2024: Combinatorics seminar, Brandeis University