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.

My research is partially supported by NSF CAREER Grant DMS-2443425.

From Winter 2026, I've been running the Birational Geometry Seminar 2026. The BGS 2023, BGS 2024, and BGS 2025 are the previous versions of this seminar. From Spring 2021 to Fall 2022, I ran a Learning Seminar on the Minimal Model Program.

From Summer 2025, I've been running a series of summer workshops for graduate students and postdoctoral researchers in algebraic geometry and related areas. These workshops are called the Junior Algebraic Geometry Workshop (JAGW). The JAGW 2026 will happen during July 2026 at UCLA. The application process for the JAGW 2027 will be open soon.

Papers:

55. Fano compactifications of mutation algebras.
(with Joshua Enwright, Luca Francone, and Hunter Spink)
ArXiv:2512.21839.

54. Characterization of products of projective spaces via nef complexity.
(with Joshua Enwright, Stefano Filipazzi, Yoshinori Gongyo, Roberto Svaldi, Chengxi Wang, and Kiwamu Watanabe).
ArXiv:2512.13637.

53. Hyperbolicity of adjoint linear series on varieties with positive tangent bundle.
(with Atsushi Ito, Debaditya Raychaudhury, and Wern Yeong).
ArXiv:2511.20827.

52. Degenerations of cluster type varieties.
(with Juan Pablo Zúñiga).
ArXiv:2511.14959.

51. Bott-Chern complexity of Kähler pairs.
(with Christopher Hacon and José Ignacio Yáñez).
ArXiv:2505.04303.

50. Standard models for Calabi-Yau pairs of complexity two.
(with José Ignacio Yáñez).
ArXiv:2412.18830.

49. A hyperbolicity conjecture for adjoint bundles.
(with Wern Yeong).
ArXiv:2412.01811.

48. Algebraic tori in the complement of quartic surfaces.
(with Eduardo Alves da Silva and Fernando Figueroa).
To appear in Journal of the London Mathematical Society.
ArXiv:2411.03506.

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).
To appear in Pure and Applied Mathematics Quarterly.
ArXiv:2409.03564.

45. Toric models of smooth Fano threefolds.
(with Konstantin Loginov and Artem Vasilkov).
To appear in Algebr. Geom. Phys.
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).
To appear in Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
ArXiv:2404.05878.

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

40. Birational complexity and dual complexes.
(with Mirko Mauri).
Proc. Lond. Math. Soc. (3) 131 (2025), no. 2, Paper No. e70073.
ArXiv:2402.10136.

39. Polarized endomorphisms of Fano varieties with complements.
(with José Ignacio Yáñez and Wern Yeong).
Int. Math. Res. Not. IMRN 2025, no. 8, 1–18.
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).
J. Reine Angew. Math. 2025, no. 819, 89–133.
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).
To appear in Pure Appl. Math. Q.
ArXiv:2301.08395.

34. Complements and coregularity of Fano varieties.
(with Fernando Figueroa, Stefano Filipazzi, and Junyao Peng).
Forum of Mathematics, Sigma. 13 (2025), Paper No. e39.
ArXiv:2211.09187.

33. Reductive covers of klt varieties.
(with Lukas Braun).
Rev. Mat. Iberoam. 40 (2024), no. 5, 1701–1730.
ArXiv:2210.10095.

32. Index of coregularity zero log Calabi-Yau pairs.
(with Stefano Filipazzi and Mirko Mauri).
Algebra Number Theory. 19 (2025), no. 2, 383–413.
ArXiv:2209:02925.

31. Coregularity of Fano varieties.
Geom. Dedicata. 218 (2024), no. 2, Paper No. 40, 55 pp.
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).
Doc. Math. 30 (2025), no. 1, 183–218.
ArXiv:2204.05408.

28. Reductive quotients of klt singularities.
(with Lukas Braun, Daniel Greb, and Kevin Langlois).
Invent. Math. 237 (2024), no. 3, 1643–1682.
ArXiv:2111.02812.

27. Bounding toric singularities with normalized volume.
(with Hendrik Süß).
Bull. Lond. Math. Soc. 56 (2024), no. 6, 2212–2229.
ArXiv:2111.01738.

26. On termination of flips and fundamental groups.
LMS Lecture Notes, Shokurov's 70th birthday volume.
ArXiv:2109:05608.

25. Minimal log discrepancies of regularity one.
Int. Math. Res. Not. IMRN 2023, no. 18, 15976–16014.
ArXiv:2108:01717.

24. A geometric characterization of toric singularities.
(with Roberto Svaldi).
J. Math. Pures Appl. (9) 195 (2025), Paper No. 103620.
ArXiv:2108:01717.

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

22. Iteration of Cox rings of klt singularities.
(with Lukas Braun).
J. Topol. 17 (2024), no. 1, Paper No. e12321, 71 pp.
ArXiv:2103.13524.

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

20. Small quotient minimal log discrepancies.
Michigan Math. J. 73 (2023), no. 3, 593–619.
ArXiv:2008.13311.

19. Kawamata log terminal singularities of full rank.
ArXiv:2007.10322.
To appear in Algebr. Geom. Phys.

18. Special termination for log canonical pairs.
(with Vladimir Lazić and Nikolaos Tsakanikas).
Asian J. Math. 27 (2023), no. 3, 423–440.
ArXiv:2007.06458.

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

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

15. Extracting non-canonical places.
Adv. Math. 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).
J. Math. Sci. Univ. Tokyo. Vol. 27 (2020), No. 1, Page 1-28.
ArXiv:1903.07202.

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

11. On minimal log discrepancies and Kollár components.
Proc. Edinb. Math. Soc. (2) 64 (2021), no. 4, 982–1001.
ArXiv:1810.10137.

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

9. Regularity of structure sheaves of varieties with isolated singularities.
(with Jinhyung Park and Lei Song).
Commun. Contemp. Math. 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).
Math. Res. Lett. 27 (2020), no.5, 1393–1421.
ArXiv:1805.01600.

6. Termination of pseudo-effective 4-fold flips.
Math. Z. 310 (2025), no. 4, Paper No. 73, 32 pp.
ArXiv:1802.10202.

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

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

3. On a notion of toric special linear systems.
J. Pure Appl. 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).
Mosc. Math. J. 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 Appl. (2016), 52-67.
ArXiv:1401.6692.

Other writings:

5. Notes for JMM 2026 Special Session.
Slides Joint Mathematical Meetings 2026. (2026)

4. Notes from a Colloquium Talk at UC, Riverside.
Slides UC, Riverside Colloquium Talk 2025. (2025)

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 Amer. Math. Soc. 71 (2024), no. 1, 17–27.