Sasha Pevzner

Department of Mathematics, Northeastern University

prof_pic.jpg

Office: 543B Nightingale

Email: a dot pevzner at northeastern dot edu

About me

I am a Zelevinsky postdoctoral fellow at Northeastern University studying commutative algebra, invariant theory, and combinatorics. I received my PhD in 2024 from the University of Minnesota, where I was fortunate to be supervised by Professor Victor Reiner. Broadly, I 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 and classical invariant theory
  • minimal free resolutions, finite and infinite
  • equivariant free resolutions
  • representation stability and FI modules
  • algebraic geometry

Preprints

  1. Syzygies of the transfer ideal of the symmetric group
    with Harm Derksen

Publications

  1. Alexander duals of symmetric simplicial complexes and Stanley–Reisner ideals
    with Ayah Almousa, Kaitlin Bruegge, Martina Juhnke-Kubitzke, and Uwe Nagel
    Advances in Applied Mathematics (2026)

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

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

Upcoming travel

June 29 - July 3, 2026: Commutative Algebra and Algebraic Geometry in Milan (presenting poster)