Publications and Preprints
In reverse chronological order by posting date on arXiv or Zenodo. Related versions retain their shared publication number.
arXiv now limits each author to two new submissions per month. This limit would have been too strict for me much of the time even before AI, and recently too many arXiv submissions have been put on hold. For these reasons I am trying to post some of my papers on Zenodo.
2026
76. Upper bound of minimal log discrepancies
75. Spectral gap, internality of relative commutants, and non-hyperlinear groups
74. The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center
73. Embedded constant mean curvature tori in hemispheres of Berger spheres
72. Disproof of the Yau–Tian–Donaldson conjecture
Note. For general polarized varieties, this disproves Donaldson’s 2002 cscK YTD conjecture even after the standard modern repairs to test configurations (normality and the product-in-codimension-two equality convention). The (log) Fano Kähler–Einstein YTD theorem and recent uniform/completed cscK YTD results are unaffected.
71. Mori dream Jacobian elliptic surfaces of Kodaira dimension one
70. A klt generalized pair with infinitely generated canonical ring
69. The equality case of Ehrhart’s volume conjecture
68. Removing the Torsion-free Hypothesis in a Positivity Theorem on Deligne-Mumford Stacks
67. Twelve common flex lines in a general pencil of cubics
66. Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory
65. A counterexample to the odd-dimensional rank bound for abelian p-group actions
64. On two questions of Qi on saturated filtrations
63. A slope-unstable bundle on a surface with 1-homogeneous projectivization
62. K-polystable toric Fano varieties with small alpha invariants
61. An equivariant fixed-level Demailly identity for Fano manifolds
60a. A Criteria of Weighted Homogeneity via Logarithmic Vector Fields
Not AI-generated. Presents the same result as no. 60b; the mathematics is identical.
60b. Criteria of isolated weighted homogeneous hypersurface singularities using Logarithmic vector fields
AI-generated (human-verified). Presents the same result as no. 60a; the mathematics is identical.
59. A counterexample to the near-quadratic Elekes–Rónyai expander conjecture over ℝ
58. Examples of infinitely many (-1)-curves with higher genus on elliptic surfaces
57. Boundedness of total Cartier indices for rational singularities in families
56. Shokurov's global index conjecture for threefold foliations
55. A question on klt type varieties of Han and Jiang
54. On a question of Mauri and Moraga
53. Optimal bend-and-break for foliations
52. An example of a very non-movable effective divisor
51. On a question of Kollár and Kovács
50. The minimal volume of stable surfaces of rank one
49. Birational boundedness of stable families
48. Existence of the minimal model program for log canonical generalized pairs
47. Dual complexes of qdlt Fano type models and strong complete regularity
2025
46. Non-algebraicity of non-abundant foliations and abundance for adjoint foliated structures
45. Variation of algebraically integrable adjoint foliated structures
44a. Boundedness in general type MMP and fivefold effective termination
44b. Effective termination of general type MMPs in dimension at most five
43. Sarkisov program for algebraically integrable and threefold foliations
Int. Math. Res. Not. 2026, no. 6, rnag045.
42. Non-vanishing implies numerical dimension one abundance
41. On finite generation and boundedness of adjoint foliated structures
40. Classification of threefold enc cDV quotient singularities
2024
39. A generalized non-vanishing theorem on surfaces
Pure Appl. Math. Q. (special volume in honor of Caucher Birkar), 22 (2026), no. 1, 235–244.
38. Flop between algebraically integrable foliations on potentially klt varieties
Int. J. Math. 36 (2025), no. 11, 2550035.
37. ACC for local volumes
36. Minimal model program for algebraically integrable adjoint foliated structures
35. Volume of algebraically integrable foliations and locally stable families
Trans. Amer. Math. Soc. 379 (2026), no. 10, 6809–6832.
34. Exceptional Fano varieties with small minimal log discrepancy
Math. Res. Lett. 33 (2026), no. 1, 161–198.
33. Minimal model program for algebraically integrable foliations on klt varieties
Compos. Math. 161 (2025), no. 12, 3213–3276.
2023
32. On the equivalence between the effective adjunction conjectures of Prokhorov–Shokurov and of Li
Algebra Number Theory 19 (2025), no. 11, 2261–2279.
31. On explicit bounds of Fano threefolds
J. Reine Angew. Math. (Crelle's Journal) (2025).
30. Minimal model program for algebraically integrable foliations and generalized pairs
29. The minimal volume of surfaces of log general type with non-empty non-klt locus
To appear in Algebr. Geom.
28. ACC for lc thresholds for algebraically integrable foliations
Selecta Math. (N.S.) 32 (2026), no. 4, Paper No. 70, 34 pp.
27. Uniform rational polytopes of foliated threefolds and the global ACC
J. Lond. Math. Soc. 109 (2024), no. 6, e12950.
26. Optimal bounds on surfaces
To appear in Algebraic Geometry and Physics.
25. Vanishing theorems for generalized pairs
24. Complements, index theorem, and minimal log discrepancies of foliated surface singularities
Eur. J. Math. 10 (2024), no. 1, Paper No. 6.
23. On global ACC for foliated threefolds
Trans. Amer. Math. Soc. 376 (2023), no. 12, 8939–8972.
22. On effective log Iitaka fibrations and existence of complements
Int. Math. Res. Not. (2024), no. 10, 8329–8349.
2022
21. Semi-ampleness of NQC generalized log canonical pairs
Adv. Math. 427 (2023), 109126.
20. On termination of flips and exceptionally non-canonical singularities
Geom. Topol. 29 (2025), no. 1, 399–441.
19. Infinitesimal structure of log canonical thresholds
Doc. Math. 29 (2024), no. 3, 703–732.
18. Remark on complements on surfaces
Forum Math. Sigma 11 (2023), e42.
17. Uniform rational polytopes for Iitaka dimensions
In: Higher Dimensional Algebraic Geometry: A Volume in Honor of V. V. Shokurov (C. D. Hacon, C. Xu eds.), London Math. Soc. Lecture Note Series, Cambridge University Press (2025), 43–68.
16. Relative Nakayama–Zariski decomposition and minimal models of generalized pairs
Peking Math. J. 8 (2025), no. 2, 299–349.
15. Second largest accumulation point of minimal log discrepancies of threefolds
14. On the fixed part of pluricanonical systems for surfaces
Math. Nachr. 296 (2023), no. 5, 2046–2069.
13. On generalized lc pairs with b-log abundant nef part (with an Appendix by J. Han)
Front. Math. 21 (2026), no. 4, 769–799.
12. ACC for minimal log discrepancies of terminal threefolds
Adv. Math. 480 (2025), 110457.
2021
11. Existence of flips for generalized lc pairs
Camb. J. Math. 11 (2023), no. 4, 795–828.
10. Number of singular points on projective surfaces
Chin. Ann. Math. Ser. B 46 (2025), no. 5, 713–724.
9. Divisors computing minimal log discrepancies on lc surfaces
Math. Proc. Camb. Philos. Soc. 175 (2023), no. 1, 107–128.
2020
8. On effective birationality for sub-pairs
Int. J. Math. 34 (2023), no. 6, Article No. 2350029.
2019
7. An optimal gap of minimal log discrepancies of threefold non-canonical singularities
J. Pure Appl. Algebra 225 (2021), no. 9, 106674.
6. Bounded deformations of (ε, δ)-log canonical singularities
J. Math. Sci. Univ. Tokyo 27 (2020), no. 1, 1–28.
5. ACC for minimal log discrepancies of exceptional singularities
Peking Math. J. 9 (2026), no. 2, 225–257.
2018
4. Accumulation point theorem for generalized log canonical thresholds
3. Toward the equivalence of the ACC for a-log canonical thresholds and the ACC for minimal log discrepancies
To appear in Algebraic Geometry and Physics.
2. Sarkisov program for generalized pairs
Osaka J. Math. 58 (2021), no. 4, 899–920.