Sasha Pevzner
School of Mathematics, University of Minnesota, Twin Cities.
Office: Vincent Hall 526
Email: pevzn002 at umn dot edu
About me
Hi! I’m a 5th year PhD student at UMN working with 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