I am an assistant professor at UCLA. I am part of the Algebra Group and the Geometry Group at UCLA.

From Fall 2019 to Spring 2022, I was an instructor in Mathematics at Princeton University, under the mentorship of János Kollár. In May 2019, I finished my Ph.D in Mathematics at the University of Utah, under the advice of Christopher Hacon.

Starting Winter 2023, I am running the Birational Geometry Seminar 2023. Each week a mathematician will present some recent result on Birational Geometry or related topics.

From Spring 2021 to Fall 2022, I was running a Learning Seminar on the Minimal Model Program. This seminar started with the basics on the MMP and finished with some recent developments about Fano varieties.

From Fall 2021 to Spring 2022, I organized the Princeton Algebraic Geometry Seminar together with Chenyang Xu and the Princeton Algebraic Geometry Preprint Seminar together with Fernando Figueroa. During Fall 2022, I organized the Algebra Seminar at UCLA, where we discussed topics in Tropical Geometry.

Papers:

37. Symmetries of Fano varieties.
(with Louis Esser and Lena Ji).
ArXiv:2308.12958.

36. Fundamental groups of low-dimensional lc singularities.
(with Fernando Figueroa).
ArXiv:2302.11790.

35. Generalized complexity of surfaces.
(with Yoshinori Gongyo).
ArXiv:2301.08395.

34. Complements and coregularity of Fano varieties.
(with Fernando Figueroa, Stefano Filipazzi, and Junyao Peng).
ArXiv:2211.09187.

33. Reductive covers of klt varieties.
(with Lukas Braun).
ArXiv:2210.10095.

32. Index of coregularity zero log Calabi-Yau pairs.
(with Stefano Filipazzi and Mirko Mauri).
ArXiv:2209:02925.

31. Coregularity of Fano varieties.
ArXiv:2206:10834.

30. On the boundedness of singularities via normalized volume.
(with Hendrik Süß and Yuchen Liu).
ArXiv:2205.12326.

29. Log canonical thresholds and coregularity.
(with Fernando Figueroa and Junyao Peng).
ArXiv:2204.05408.

28. Reductive quotients of klt singularities.
(with Lukas Braun, Daniel Greb, and Kevin Langlois).
ArXiv:2111.02812.

27. Bounding toric singularities with normalized volume.
(with Hendrik Süß).
ArXiv:2111.01738.

26. On termination of flips and fundamental groups.
ArXiv:2109:05608.

25. Minimal log discrepancies of regularity one.
To appear in International Mathematics Research Notices.
ArXiv:2108:01717.

24. A geometric characterization of toric singularities.
(with Roberto Svaldi).
ArXiv:2108:01717.

23. On a toroidalization for klt singularities.
ArXiv:2106.15019.

22. Iteration of Cox rings of klt singularities.
(with Lukas Braun).
ArXiv:2103.13524.

21. Maximal log Fano manifolds are generalized Bott towers.
(with Konstantin Loginov).
Journal of Algebra. Volume 612, 15 December 2022, Pages 110-146.
ArXiv:2012.00266.

20. Small quotient minimal log discrepancies.
To appear in Michigan Mathematical Journal.
ArXiv:2008.13311.

19. Kawamata log terminal singularities of full rank.
ArXiv:2007.10322.

18. Special termination for log canonical pairs.
(with Vladimir Lazić and Nikolaos Tsakanikas).
To appear in Asian Journal of Mathematics.
ArXiv:2007.06458.

17. The Jordan property for local fundamental groups.
(with Lukas Braun, Stefano Filipazzi, and Roberto Svaldi).
Geometry and Topology. 26 (2022), no. 1, 283–319.
Arxiv:2006.01253.

16. Fano type surfaces with large cyclic automorphisms.
Forum of Mathematics, Sigma. 9 (2021), Paper No. e54, 27 pp.
ArXiv:2001.03797.

15. Extracting non-canonical places.
Advances in Mathematics. 375 (2020) 107415, 12pp.
ArXiv:1911.00991.

14. Log canonical 3-fold complements.
(with Stefano Filipazzi and Yanning Xu).
ArXiv:1909.10098.

13. Bounded deformations of (e,d)-log canonical singularities.
(with Jihao Liu and Jingjun Han).
Journal of Mathematical Sciences (Tokyo). Vol. 27 (2020), No. 1, Page 1-28.
ArXiv:1903.07202.

12. A boundedness theorem for cone singularities.
To appear in Manuscripta Mathematica.
ArXiv:1812.04670.

11. On minimal log discrepancies and Kollár components.
Proceedings of the Edinburgh Mathematical Society. (2) 64 (2021), no. 4, 982–1001.
ArXiv:1810.10137.

10. Strong (δ,n)-complements for semi-stable morphisms.
(with Stefano Filipazzi).
Documenta Mathematica. 25, 1953-1996 (2020).
ArXiv:1810.01990.

9. Regularity of structure sheaves of varieties with isolated singularities.
(with Jinhyung Park and Lei Song).
Communications in Contemporary Mathematics. 23 (2021), no. 5. 25 pp.
ArXiv:1808.09713.

8. Cohen-Macaulay Du Bois singularities with a torus action of complexity one.
(with Antonio Laface and Alvaro Liendo).
ArXiv:1806.08311.

7. On weak Zariski decompositions and termination of flips.
(with Christopher Hacon).
Mathematical Reseach Letters. 27 (2020), no.5, 1393–1421.
ArXiv:1805.01600.

6. Termination of pseudo-effective 4-fold flips.
ArXiv:1802.10202.

5. Fundamental group of log terminal T-varieties.
(with Antonio Laface and Alvaro Liendo).
European Journal of Mathematics (2019), no. 3, 937-957.
ArXiv:1712.02172.

4. Bounding singular surfaces via Chern numbers.
Mathematische Zeitschrift. 295 (2020), no. 3-4, 1597-1614.
ArXiv:1705.00256.

3. On a notion of toric special linear systems.
Journal of Pure and Applied Algebra (2019), no. 8, 3225-3237.
ArXiv:1512.09264.

2. On the topology of rational T-varieties of complexity one.
(with Antonio Laface and Alvaro Liendo).
Moscow Mathematical Journal. 20 (2020), no. 2, 405-404.
ArXiv:1503.06023.

1. Linear systems on the blow-up of (P^1)^n.
(with Antonio Laface).
Linear Algebra and its Applications (2016), 52-67.
ArXiv:1401.6692.