# Weite's homepage

Hi! I am a fourth-year graduate student in the Department of Mathematics at Yale University.

I work in algebraic geometry, and my advisor is Prof. Junliang Shen. More specifically, my current research concerns the geometry of moduli spaces of sheaves, with a focus on the structure of their cohomology rings.

You can find my Curriculum Vitae here.

Email: weite.pi@yale.edu

Upcoming traveling:

Moduli stacks and enumerative geometry, Isaac Newton Institute (June 17 - 21)

Simons Math Summer Workshop: Moduli, Stony Brook (July 1 - 19)

Teaching: I am teaching MATH 115 (Calculus II) in Spring 2024.

Publications and Preprints:

Cohomology rings of the moduli of one-dimensional sheaves on the projective plane (with Y. Kononov, W. Lim, and M. Moreira). arXiv: 2403.06277. Cohomology rings. Submitted.

Cohomological χ-dependence of ring structure for the moduli of one-dimensional sheaves on P2 (with W. Lim and M. Moreira). Forum Math. Sigma. 12 (2024) No. e47, 17 pp. arXiv: 2305.14193. Mathematica codes.

Perverse filtrations, Chern filtrations, and refined BPS invariants for local P2 (with Y. Kononov and J. Shen). Adv. Math. 433 (2023) 109294, 29 pp. arXiv: 2211.06991.

Generators for the cohomology ring of the moduli of one-dimensional sheaves on P2 (with J. Shen). Algebr. Geom. 10 (4) (2023) 504–520. arXiv: 2204.05866.

Last updated April 26, 2024.