Sasha Pevzner
Department of Mathematics, Northeastern University
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
Papers
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Symmetric group fixed quotients of polynomial rings
Journal of Pure and Applied Algebra, Volume 228, Issue 4 (2024) -
Equivariant resolutions over Veronese rings
with Ayah Almousa, Michael Perlman, Victor Reiner, and Keller VandeBogert
Journal of the London Mathematical Society (2024) -
Alexander duals of symmetric simplicial complexes and Stanley–Reisner ideals (submitted)
with Ayah Almousa, Kaitlin Bruegge, Martina Juhnke-Kubitzke, and Uwe Nagel
Upcoming talks
June 8, 2025: Special Session on Algebraic and Enumerative Combinatorics, CMS summer meeting, Quebec City
October 3-5, 2025: Special Session on Algebraic Combinatorics and Combinatorial Commutative Algebra, AMS fall southeastern sectional meeting, Tulane University