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 2024, I am running the Birational Geometry Seminar 2024. The BGS 2023 is the previous version of this seminar. From Spring 2021 to Fall 2022, I ran a Learning Seminar on the Minimal Model Program.

Papers:

47. The geometric cone conjecture in relative dimension two.
(with Talon Stark).
ArXiv:2409.13068.

46. Toricity in families of Fano varieties.
(with Lena Ji).
ArXiv:2409.03564.

45. Toric models of smooth Fano threefolds.
(with Konstantin Loginov and Artem Vasilkov).
ArXiv:2407.09420.

44. Polarized endomorphisms of log Calabi-Yau pairs.
(with José Ignacio Yáñez and Wern Yeong).
ArXiv:2406.18092.

43. Birational complexity of log Calabi-Yau 3-folds.
ArXiv:2405.18516.

42. Log Calabi-Yau pairs of birational complexity zero.
(with Joshua Enwright and Fernando Figueroa).
ArXiv:2404.05878.

41. Birational complexity and conic fibrations.
ArXiv:2403.17251.

40. Birational complexity and dual complexes.
(with Mirko Mauri).
ArXiv:2402.10136.

39. Polarized endomorphisms of Fano varieties with complements.
(with José Ignacio Yáñez and Wern Yeong).
ArXiv:2401.15506.

38. Fundamental groups of log Calabi-Yau surfaces.
(with Cécile Gachet and Zhining Liu).
ArXiv:2312.03981.

37. Symmetries of Fano varieties.
(with Louis Esser and Lena Ji).
To appear in Journal für die reine und angewandte Mathematik.
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).
To appear in Forum of Mathematics, Sigma.
ArXiv:2211.09187.

33. Reductive covers of klt varieties.
(with Lukas Braun).
To appear in Revista Matemática Iberoamericana.
ArXiv:2210.10095.

32. Index of coregularity zero log Calabi-Yau pairs.
(with Stefano Filipazzi and Mirko Mauri).
To appear in Algebra & Number Theory.
ArXiv:2209:02925.

31. Coregularity of Fano varieties.
To appear in Geometriae Dedicata.
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).
To appear in Documenta Mathematica.
ArXiv:2204.05408.

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

27. Bounding toric singularities with normalized volume.
(with Hendrik Süß).
To appear in Bulletin of the London Mathematical Society.
ArXiv:2111.01738.

26. On termination of flips and fundamental groups.
To appear in Shokurov's 70th birthday volume.
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).
To appear in Journal de Mathématiques Pures et Appliquées.
ArXiv:2108:01717.

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

22. Iteration of Cox rings of klt singularities.
(with Lukas Braun).
To appear in Journal of Topology.
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.

Other writings:

3. AIM Workshop: Higher-dimensional log Calabi--Yau pairs.
Notes, Questions, and Problems. (2024)

2. Fundamental groups of algebraic singularities.
Oberwolfach report: Komplexe Analysis – Differential and Algebraic methods in Kähler spaces. (2023).

1. Running a Minimal Model Program.
Notices of the American Mathematical Society. (2024).