#Princeton algebraic geometry seminar full#

Bounding singular surfaces via Chern numbers. European Journal of Mathematics (2019), no. Fundamental group of log terminal T-varieties (with Antonio Laface and Alvaro Liendo). Termination of pseudo-effective 4-fold flips. To appear in Mathematical Reseach Letters. On weak Zariski decompositions and termination of flips (with Christopher Hacon). Cohen-Macaulay Du Bois singularities with a torus action of complexity one (with Antonio Laface and Alvaro Liendo). Communications in Contemporary Mathematics. Regularity of structure sheaves of varieties with isolated singularities (with Jinhyung Park and Lei Song). Strong (δ,n)-complements for semi-stable morphisms (with Stefano Filipazzi). To appear in Proceedings of the Edinburgh Mathematical Society. On minimal log discrepancies and Kollár components. A boundedness theorem for cone singularities. Journal of Mathematical Sciences (Tokyo). Bounded deformations of (e,d)-log canonical singularities (with Jihao Liu and Jingjun Han). Log canonical 3-fold complements (with Stefano Filipazzi and Yanning Xu). To appear in Forum of Mathematics, Sigma. Fano type surfaces with large cyclic automorphisms. (with Lukas Braun, Stefano Filipazzi, and Roberto Svaldi). The Jordan property for local fundamental groups. (with Vladimir Lazić and Nikolaos Tsakanikas). Special termination for log canonical pairs.

#Princeton algebraic geometry seminar full#

Kawamata log terminal singularities of full rank.

To appear in Michigan Mathematical Journal. Small quotient minimal log discrepancies. Maximal log Fano manifolds are generalized Bott towers. Iteration of Cox rings of klt singularities. On a toroidalization for klt singularities. A geometric characterization of toric singularities.

Minimal log discrepancies of regularity one. On termination of flips and fundamental groups. Bounding toric singularities with normalized volume. (with Lukas Braun, Daniel Greb, and Kevin Langlois).

Reductive quotients of klt singularities. (with Fernando Figueroa, and Junyao Peng). Log canonical thresholds and coregularity. On the boundedness of singularities via normalized volume (with Hendrik Süß and Yuchen Liu). (with Stefano Filipazzi, and Mirko Mauri). Index of coregularity zero log Calabi-Yau pairs. (with Fernando Figueroa, Stefano Filipazzi, and Junyao Peng). Complements and coregularity of Fano varieties. Fundamental groups of low-dimensional lc singularities. Where we discussed topics in Tropical Geometry. This seminar started with the basics on the MMP and finished with some recent developments about Fano varieties.įrom Fall 2021 to Spring 2022, I organized the Princeton Algebraic Geometry Seminar together with Chenyang XuĪnd the Princeton Algebraic Geometry Preprint Seminar together with Fernando Figueroa.ĭuring Fall 2022, I organized the Algebra Seminar at UCLA, Starting Winter 2023, I am running the Birational Geometry Seminar 2023.Įach week a mathematician will present some recent result on Birational Geometry or related topics.įrom Spring 2021 to Fall 2022, I was running a Learning Seminar on the Minimal Model Program. In May 2019, I finished my Ph.D in Mathematics at the University of Utah, under the advice of Christopher Hacon. I am part of the Algebra Group and the Geometry Group at UCLA.įrom Fall 2019 to Spring 2022, I was an instructor in Mathematics at Princeton University, under the mentorship of János Kollár.