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:
12. Minimal model program for algebraically integrable foliations on klt varieties (with Jihao Liu and Lingyao Xie), preprint, arXiv:2404.01559 [arXiv]
12. Minimal model program for algebraically integrable foliations on klt varieties (with Jihao Liu and Lingyao Xie), preprint, 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]