Peter Yi Wei

Peter Yi Wei

Postdoc in Mathematics

About Me

My name is Peter YI WEI (Chinese: 韋禕). Currently I am a postdoc in the Department of Mathematics, University of Arkansas-Fayetteville.

I graduated in 2025 from University of Wisconsin-Madison advised by Professor Michael Kemeny.

Before that, I received my Bachelor’s degree in Mathematics in 2019, from University of Chinese Academy of Sciences supervised by Professor Baohua Fu.

I work on algebraic geometry and arithmetic geometry. More specifically, I’m interested in the following:

  • Geometry of (weighted) syzygies of algebraic varieties
  • Brill-Noether theory of curves
  • Moduli theory of curves and surfaces

You can find my full CV here (Last updated 2026.3.27).

Updates

[2026.01.28] The paper Generic Green’s conjecture and the geometric syzygy conjecture in positive characteristic was accepted.

[2025.08.31] The paper The Geometric Syzygy Conjecture in Positive Characteristic(with Michael Kemeny) was submitted to a journal.

Travels

[2027.3.7-12] BIRS Workshop “Harmony between Real and Complex Algebraic Geometry”, The Banff Centre, Canada.

[2026.4.24] Algebraic Geometry Seminar, University of Wisconsin-Madison, Madison, WI

[2026.3.28-3.29] AMS Spring Eastern Sectional Meeting, Boston College, Boston, MA

Preprint and Publications

  1. Koszul cohomology and weighted syzygies of algebraic varieties. (in preparation)
  2. Syzygies and Mukai's Conjecture for Symmetric Product of Curves (with Wenbo Niu). (in preparation)
  3. The Geometric Syzygy Conjecture in Positive Characteristic (with Michael Kemeny) [arxiv].
  4. Generic Green's Conjecture and Generic Geometric Syzygy Conjecture in Positive Characteristic. Journal of Pure and Applied Algebra (2026) 108254, [journal], [arxiv].