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. I received my PhD in 2024 from the University of Minnesota, where I was fortunate to be supervised by Professor Victor 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
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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
March 13, 2025: Women in Commutative Algebra Workshop (part of Spring 2025 Thematic Program in Commutative Algebra and Applications), Fields Institute
April 5-6, 2025: Special Session on Commutative Algebra and Interactions with Combinatorics, AMS Spring Eastern Sectional Meeting, Hartford, CT
May 18, 2025: Special Session on Homological Methods in Commutative Algebra & Algebraic Geometry, AWM Research Symposium, Madison WI