Sasha Pevzner
Department of Mathematics, Northeastern University
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
-
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
November 19, 2024: Combinatorics seminar, Brandeis University