Most of my preprints can be found on arXiv. Published papers can be found on MathSciNet.

Papers

1. "Bounding the volumes of singular weak log del Pezzo surfaces", Internat. J. Math. 24 (2013), no. 13, 1350110, 27pp [Journal][arXiv]
2. "On birational geometry of minimal threefolds with numerically trivial canonical divisors", Math. Ann. 365 (2016), no. 1-2, 49--76 [Journal][arXiv]
3. (Joint with M. Chen) "On the anti-canonical geometry of Q-Fano threefolds", J. Differential Geom. 104 (2016), no. 1, 59--109 [Journal][arXiv]
4. "On irregular threefolds and fourfolds with numerically trivial canonical bundle", Math. Z. 284 (2016), no. 1-2, 95--115 [Journal][arXiv]
5. (Joint with C.D. Hacon) "On Fujita invariants of subvarieties of a uniruled variety", Algebr. Geom. 4 (2017), no. 3, 304--310 [Journal][arXiv]
6. "K-semistable Fano manifolds with the smallest alpha invariant", Internat. J. Math. 28(2017), no. 6, 1750044, 9pp [Journal][arXiv]
7. (Joint with P. Cao) "Torsion exceptional sheaves on weak del Pezzo surfaces of Type A", J. Algebra 499 (2018), 583--609 [Journal][arXiv]
8. "On birational boundedness of Fano fibrations", Amer. J. Math. 140 (2018), no. 5, 1253--1276 [Journal][arXiv]
9. "Boundedness of threefolds of Fano type with Mori fibration structures", Math. Res. Lett. 26 (2019), no. 5, 1415--1435 [Journal][arXiv]
10. (Joint with J.A. Chen, M. Chen) "The Noether inequality for algebraic 3-folds", Duke Math. J. 169 (2020), no. 9, 1603--1645 [Journal][arXiv] Addendum, Duke Math. J. 169 (2020), no. 11, 2199-2204 [Journal][arXiv]
11. (Joint with Y. Cao) "Remarks on Kawamata’s effective non-vanishing conjecture for manifolds with trivial first Chern classes", Math. Z. 296 (2020), no. 1-2, 615--637 [Journal][arXiv]
12. "Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below", Ann. Sci. Éc. Norm. Supér. (4) 53 (2020), no. 4, 1235--1248 [Journal][arXiv]
13. (Joint with M. Chen) "On the anti-canonical geometry of weak Q-Fano threefolds, II", Ann. Inst. Fourier (Grenoble) 70 (2020), no. 6, pp. 2473--2542 [Journal][arXiv]
14. (Joint with W. Chen, G. Di Cerbo, J. Han, R. Svaldi) "Birational boundedness of rationally connected Calabi-Yau 3-folds", Adv. Math. 378 (2021), 107541, 32pp [Journal][arXiv]
15. (Joint with H. Liu) "Boundedness of log pluricanonical representations of log Calabi--Yau pairs in dimension 2″, Algebra Number Theory 15 (2021), no. 2, 545--567 [Journal][arXiv]
16. "A gap theorem for minimal log discrepancies of noncanonical singularities in dimension three", J. Algebraic Geom. 30 (2021), no. 4, 759--800 [Journal][arXiv]
17. "Boundedness of anti-canonical volumes of singular log Fano threefolds", Comm. Anal. Geom. 29 (2021), no. 7, 1571--1596 [Journal][arXiv]
18. (Joint with J. Han, Y. Luo) "Shokurov's conjecture on conic bundles with canonical singularities", Forum Math. Sigma 10 (2022), Paper No. e38, 24 pp [Journal][arXiv]
19. "Positivity of Riemann--Roch polynomials and Todd classes of hyperkähler manifolds", J. Algebraic Geom. 32 (2023), no. 2, 239--269 [Journal][arXiv]
20. "Characterizing terminal Fano threefolds with the smallest anti-canonical volume", In: Birational geometry, Kähler-Einstein metrics and Degenerations, pp. 355--362, Springer Proceedings in Mathematics & Statistics, volume 409, 2023 [Proceeding][arXiv]
21. (Joint with Y. Zou) "An effective upper bound for anti-canonical volumes of canonical Q-Fano threefolds", Int. Math. Res. Not. IMRN (2023), no. 11, 9298--9318 [Journal][arXiv]
22. (Joint with Z. Li) "Algebraic reverse Khovanskii--Teissier inequality via Okounkov bodies", Math. Z. 305 (2023), no. 2, Paper No. 26, 14 pp [Journal][arXiv]
23. (Joint with L. Wang) "On numerical dimensions of Calabi--Yau varieties", Int. Math. Res. Not. IMRN (2024), no. 2, 1472--1495 [Journal][arXiv]
24. (Joint with Y. Zou) "On the anti-canonical geometry of weak Q-Fano threefolds, III", Nagoya Math. J. 253 (2024), 23--47 [Journal][arXiv]
25. (Joint with M. Chen, B. Li) "On minimal varieties growing from quasismooth weighted hypersurfaces", J. Differential Geom. 127 (2024), no. 1, 35--76 [Journal][arXiv]
26. (Joint with Y. Zou) "An effective upper bound for anti-canonical volumes of singular Fano threefolds", J. Inst. Math. Jussieu 23 (2024), no. 6, 2631--2646 [Journal][arXiv]
27. (Joint with J. Han) "Birational boundedness of rationally connected log Calabi--Yau pairs with fixed index", Algebr. Geom. Phys. 1 (2024), no. 1, 59--79 [Journal][arXiv]
28. (Joint with M. Iwai, H. Liu) "Miyaoka type inequalities for terminal threefolds with nef anti-canonical divisors", to appear in Sci. China Math., arXiv:2303.00268 [Journal][arXiv]
29. "Characterizing terminal Fano threefolds with the smallest anti-canonical volume, II", to appear in Higher Dimensional Algebraic Geometry, A Volume in Honor of V. V. Shokurov, LMS Lecture Notes 489, arXiv:2207.03832 [Book][arXiv]
30. (Joint with M. Chen, J. Yan) "On the bicanonical map of algebraic threefolds of general type", to appear in Acta Math. Sin. (Engl. Ser.), arXiv:2305.19960 [arXiv]
31. (Joint with W. Liu) "On numerically trivial automorphisms of compact hyperkähler manifolds of dimension 4", to appear in Math. Res. Lett., arXiv:2308.03394 [arXiv]
32. (Joint with P. Yu) "Effective nonvanishing for weighted complete intersections of codimension two", to appear in Kyoto J. Math., arXiv:2409.07828 [arXiv]

Preprints

1. (Joint with F. Hu) "An upper bound for polynomial volume growth of automorphisms of zero entropy", arXiv:2408.15804 [arXiv]
2. (Joint with M. Chen, Y. Hu) "On moduli spaces of canonical threefolds with small genera and minimal volumes", arXiv:2407.01276 [arXiv]
3. (Joint with P. Ren) "Stability of syzygy bundles on varieties of Picard number one", arXiv:2412.00476 [arXiv]
4. "On a question of Kollár on decomposing birational morphisms between smooth threefolds: the Picard number two case"

Books

1. Algebraic varieties: minimal models and finite generation, Cambridge Studies in Advanced Mathematics, 214, Cambridge University Press, 2024. [Book] My translation of Kawamata's Japanese book, here is a pdf version which is not identically the same as the published version for personal use only [PDF]. During my lectures, I will collect the erratum here [ERRATUM (2024.12.9)].

Others

1. "On boundedness of volumes and birationality in birational geometry", Ph.D. thesis, University of Tokyo, 2015.
2. (Joint with J. Han) Effective birationality and special BAB, contributed to the volume of Singularities, Linear Systems and Fano Varieties (on the BAB conjecture), C. Birkar and J.A. Chen (eds).
3. (Joint with Y. Cao) Chern numbers of OG10, appendix to "Riemann-Roch polynomials of the known hyperkahler manifolds" by Ortiz, to appear in Bull. Soc. Math. France, arXiv:2006.09307v2 [arXiv]
4. (Joint with F. Hu) Growth rate of determinant of certain power sums associated with unipotent matrices, appendix to "Polynomial log-volume growth of quasi-unipotent automorphisms of abelian varieties " by Hu, Int. Math. Res. Not. IMRN, rnad170 [Journal][arXiv]
5. A description of my works.