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Hi! I am a fifth-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 (for example, tautological relations and perverse filtrations) of their cohomology rings.
Here is my Curriculum Vitae.
Email: weite.pi@yale.edu
Upcoming traveling:
University of Kansas, March 11 - 14.
Georgia Algebraic Geometry Symposium, March 21 - 23.
Publications and Preprints:
On the Chern filtration for the moduli of bundles on curves (with W. Lim and M. Moreira). arXiv: 2410.24008. Submitted.
Cohomological stabilization, perverse filtrations, and refined BPS invariants for del Pezzo surfaces (with J. Shen, F. Si, and F. Zhang). arXiv: 2406.10004. Submitted.
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 March 5, 2025.
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