Xian Wu
Contact: xianwu dot ag at gmail dot com
11/2019-02/2022, postdoc at Jagiellonian University, sponsored by Prof. J.Weyman .
02/2022-11/2022, postdoc at Ghent University/KU Leuven sponsored by Prof. F.Mohammadi.
Previously I was a phd student at University of Georgia supervised by V.Alexeev and N.Giansiracusa.
Publications and preprints:
Stable Pair Compactification of a Complete Family of Calabi-Yau 3-Folds (with V.Alexeev, to appear soon).
Chow Quotients of Grassmannians by Diagonal Subtori (with Noah Giansiracusa), Proceedings of the Facets in Algebraic Geometry conference in honor of William Fulton's 80th birthday.
Rational Tensegrities Through the Lens of Toric Geometry (with Fatemeh Mohammadi).
Canonical Blow-ups of Grassmannians I: How Canonical Is a Kausz Compactification? (with Hanlong Fang).
Fineness and Smoothness of a KSBA Moduli of Marked Cubic Surfaces (with Hanlong Fang, Luca Schaffler).
Work in progress:
Chen-Gibney-Krashen's Space and Chow Quotient by Diagonal Subtorus (with N.Giansiracusa).
Graded Nilpotent Orbit Closures and Schubert Varieties (with S.A.Filippini and J.Weyman).
Teaching: Toric Varieties and Related Topics, 2020 Fall.
Lecture 01: introduction, affine toric varieties.Lecture 02: normality, smoothness, localization.
Lecture 03: projective toric varieties.
Lecture 04: separatedness, properness.
Lecture 05: toric blowing-ups, toric surface singularities.
Lecture 06: toric divisors.
Lecture 07: toric Fano varieties, Batyrev's computation of mirror Hodge numbers.
Lecture 08: GIT for toric varieties.
Lecture 09: VGIT for toric varieties, hypertoric varieties.
Lecture 10: Chow quotient for toric vareities, moduli of hyperplane arrangements-1.
Lecture 11: moduli of hyperplane arrangements-2, toric MMP-1.
Lecture 12: toric MMP-2.
Lecture 13: toric MMP-3, deformation of toric varieties.
Lecture 14: cohomology of line bundles on toric varieties.
Lecture 15: Ehrhart vs. Riemann-Roch, Euler-Maclaurin vs. Hirzebruch-Riemann-Roch.