Research
Research
I am interested in several areas of algebraic geometry, including birational geometry, minimal model program, moduli spaces, foliations, positivity properties of sheaves, abelian varieties and generic vanishing.
I am interested in several areas of algebraic geometry, including birational geometry, minimal model program, moduli spaces, foliations, positivity properties of sheaves, abelian varieties and generic vanishing.
Papers:
Papers:
16. Variation of algebraically integrable adjoint foliated structures (with Paolo Cascini, Jihao Liu, Roberto Svaldi and Lingyao Xie), in preparation
16. Variation of algebraically integrable adjoint foliated structures (with Paolo Cascini, Jihao Liu, Roberto Svaldi and Lingyao Xie), in preparation
15. ACC for interpolated log canonical thresholds (with Paolo Cascini, Jingjun Han, Jihao Liu, Calum Spicer, Roberto Svaldi and Lingyao Xie), in preparation
15. ACC for interpolated log canonical thresholds (with Paolo Cascini, Jingjun Han, Jihao Liu, Calum Spicer, Roberto Svaldi and Lingyao Xie), in preparation
14. On finite generation and boundedness of adjoint foliated structures (with Paolo Cascini, Jingjun Han, Jihao Liu, Calum Spicer, Roberto Svaldi and Lingyao Xie), preprint, arXiv:2504.10737 [arXiv]
14. On finite generation and boundedness of adjoint foliated structures (with Paolo Cascini, Jingjun Han, Jihao Liu, Calum Spicer, Roberto Svaldi and Lingyao Xie), preprint, arXiv:2504.10737 [arXiv]
13. Minimal model program for algebraically integrable adjoint foliated structures (with Paolo Cascini, Jingjun Han, Jihao Liu, Calum Spicer, Roberto Svaldi and Lingyao Xie), preprint, arXiv:2408.14258 [arXiv]
13. Minimal model program for algebraically integrable adjoint foliated structures (with Paolo Cascini, Jingjun Han, Jihao Liu, Calum Spicer, Roberto Svaldi and Lingyao Xie), preprint, arXiv:2408.14258 [arXiv]
12. Minimal model program for algebraically integrable foliations on klt varieties (with Jihao Liu and Lingyao Xie), to appear in Compositio Math., arXiv:2404.01559 [arXiv]
12. Minimal model program for algebraically integrable foliations on klt varieties (with Jihao Liu and Lingyao Xie), to appear in Compositio Math., arXiv:2404.01559 [arXiv]
11. MMP for locally stable families and wall crossing for moduli of stable pairs (with Ziquan Zhuang), preprint, arXiv:2311.01319 [arXiv]
11. MMP for locally stable families and wall crossing for moduli of stable pairs (with Ziquan Zhuang), preprint, arXiv:2311.01319 [arXiv]
9. Uniform rational polytopes of foliated threefolds and the global ACC (with Jihao Liu and Lingyao Xie), J. Lond. Math. Soc. 109 (2024), no. 6, e12950 [journal] [arXiv]
9. Uniform rational polytopes of foliated threefolds and the global ACC (with Jihao Liu and Lingyao Xie), J. Lond. Math. Soc. 109 (2024), no. 6, e12950 [journal] [arXiv]
8. Complements, index theorem, and minimal log discrepancies of foliated surface singularities (with Jihao Liu and Lingyao Xie), Eur. J. Math. 10 (2024), no. 1, Paper No. 6 [journal] [arXiv]
8. Complements, index theorem, and minimal log discrepancies of foliated surface singularities (with Jihao Liu and Lingyao Xie), Eur. J. Math. 10 (2024), no. 1, Paper No. 6 [journal] [arXiv]
6. Infinitesimal structure of log canonical thresholds (with Jihao Liu and Lingyao Xie), Doc. Math. 29 (2024), no. 3, 703-732 [journal] [arXiv]
6. Infinitesimal structure of log canonical thresholds (with Jihao Liu and Lingyao Xie), Doc. Math. 29 (2024), no. 3, 703-732 [journal] [arXiv]
5. Estimates on the Kodaira dimension for fibrations over abelian varieties, preprint, arXiv:2207.08359 [arXiv]
5. Estimates on the Kodaira dimension for fibrations over abelian varieties, preprint, arXiv:2207.08359 [arXiv]
4. Kodaira dimension of fibrations over abelian varieties (with Mihnea Popa), Int. Math. Res. Not. (2024), no. 9, 7466-7487 [journal] [arXiv]
4. Kodaira dimension of fibrations over abelian varieties (with Mihnea Popa), Int. Math. Res. Not. (2024), no. 9, 7466-7487 [journal] [arXiv]
1. On Nonvanishing for uniruled log canonical pairs (with Vladimir Lazić), Electron. Res. Arch. 29 (2021), no. 5, 3297-3308, Special issue on birational geom. and moduli of proj. varieties [journal] [arXiv]
1. On Nonvanishing for uniruled log canonical pairs (with Vladimir Lazić), Electron. Res. Arch. 29 (2021), no. 5, 3297-3308, Special issue on birational geom. and moduli of proj. varieties [journal] [arXiv]