刘海东 (Haidong Liu)

 

系别:数学系

职称:副教授,硕士研究生导师,博士研究生导师

邮箱:liuhd35[at]mail[dot]sysu[dot]edu[dot]cn

地址:广东省广州市海珠区中山大学南校区,震寰堂A202

研究方向:代数几何,双有理几何

 

教育背景 (Education

 

2004.9-2009.7 北京大学中国语言文学系,学士 (B.S. Chinese Language and Literature, Peking University)

2009.9-2012.7 北京大学数学学院,硕士 (M.S. Mathematical Sciences, Peking University)

2014.10-2018.9 日本京都大学数学系,博士 (Ph.D. Mathematical Sciences, Kyoto University)

 

工作经历(Working experience

 

2018.10-2019.7  京都大学数学系,博士后 (Research Associate, Kyoto University)

2019.9-2021.8    北京大学国际数学研究中心,金光助理教授 (Jinguang Assistant Professor, BICMR)

2021.9-               中山大学数学学院,副教授 (Associate Professor, Sun Yat-sen University)

 

个人主页(Homepages

 

https://sites.google.com/view/liuhaidong

https://www.researchgate.net/profile/Liu-Haidong

http://arxiv.org/a/liu_h_5

 

个人和科研奖励(Grants and Fundings

 

2019-2021 博士后国际交流引进计划

2021-2022 国家自然青年基金(主持)

2021-2024 中山大学百人计划启动项目(主持)

2026-2029 国家自然面上基金(主持)

 

教学相关(Teaching

 

线性代数 (北大生化农医类2019秋, 中大遥感类2022秋, 中大电通类2022秋)

代数学 (2022春, 2023春, 2024春)

几何与代数 I (2024秋, 2026秋)

几何与代数 II (2025春)

交换代数 (2026春)

 

科研论文(Publications

 

[20] A note on Serrano's conjecture, to appear in Special Issue: AGEA2025, Taiwanese J. Math.;

[19] A Kawamata-Miyaoka type inequality for Fano varieties of arbitrary Picard number, arXiv:2511.13425;

[18] (with Chen Jiang) A canonical Fano threefold has Fano index ≤66, Proc. Lond. Math. Soc. (3) 133 (2026), no. 2, Paper No. e70195;

[17] Strictly nef divisors on singular K-trivial threefolds, Manuscripta Math. 177 (2026), no. 2, Paper No. 21, 14pp;

[16] (with Chen Jiang and Jie Liu) Optimal upper bound for degrees of canonical Fano threefolds of Picard number one, J. Lond. Math. Soc. (2) 114 (2026), no. 2, Paper No. e70677;

[15] (with Jie Liu) Kawamata-Miyaoka type inequality for Q-Fano varieties with canonical singularities II: terminal Q-Fano threefolds, Épijournal Géom. Algébrique 9 (2025), Art. 12, 21pp;

[14] (with Jie Liu) Kawamata-Miyaoka type inequality for Q-Fano varieties with canonical singularities, J. Reine Angew. Math. (Crelle's Journal) 819 (2025), 265-281;

[13] (with Masataka Iwai and Chen Jiang) Miyaoka type inequality for terminal threefolds with nef anti-canonical divisors, Sci. China Math. 68 (2025), no. 1, 1-18;

[12] On a numerical criterion for Fano fourfolds, Math. Res. Lett. 31 (2024), no. 4, 1133-1151;

[11] (with Shin-ichi Matsumura) Strictly nef divisors on K-trivial fourfolds, Math. Ann. 387 (2023), no. 1-2, 985-1008;

[10] (with Roberto Svaldi) Rational curves and strictly nef divisors on Calabi-Yau threefolds, Doc. Math. 27 (2022), 1581-1604;

[9] (with Chen Jiang) Boundedness of log pluricanonical representations of log Calabi-Yau pairs in dimension 2, Algebra & Number Theory 15 (2021), no. 2, 545-567; 

[8] On the log canonical ring with Kodaira dimension two, Internat. J. Math. 31 (2020), no. 14, 2050121;

[7] (with Osamu Fujino) On the log canonical ring of projective plt pairs with the Kodaira dimension two, Ann. Inst. Fourier (Grenoble) 70 (2020), no. 4, 1775-1789;

[6] (with Osamu Fujino and Taro Fujisawa) Fundamental properties of basic slc-trivial fibrations II, Publ. Res. Inst. Math. Sci. 58 (2022), no. 3, 527-549;

[5] (with Osamu Fujino) Fujita-type freeness for quasi-log canonical curves and surfaces, Kyoto J. Math. 60 (2020), no. 4, 1453-1467;

[4] (with Osamu Fujino) Quasi-log canonical pairs are Du Bois, J. Algebraic Geom. 31 (2022), no. 1, 105-112;

[3] (with Osamu Fujino) On normalization of quasi-log canonical pairs, Proc. Japan Acad. Ser. A Math. Sci. 94 (2018), no. 10, 97-101;

[2] Some remarks on log surfaces, Proc. Japan Acad. Ser. A Math. Sci. 93 (2017), no. 10, 115-119;

[1] Angehrn-Siu type effective base point freeness for quasi-log canonical pairs, Kyoto J. Math. 59 (2019), no. 2, 455-470.

 

预印稿(Preprints

 

[7] Kawamata-Miyaoka type inequality for weak Fano varieties, arXiv:2608.26597v1;

[6] On Fano indices of weighted projective spaces, arXiv:2608.03434v1;

[5] (with Chen Jiang) An effective upper bound for Fano indices of canonical Fano threefolds, I, arXiv:2505.19541 (superseded by arXiv:2508.16364);

[4] On the log version of Serrano's conjecture, arXiv:2302.06209 (divided into two parts);

[3] On the existence of rational curves on projective hyperkahler fourfolds, arXiv:2111.04270v3;

[2] Remarks on very basic slc-trivial fibrations, arXiv:2004.12351;

[1] Fujita-type freeness for quasi-log canonical three-folds, arXiv:1902.08581.

 

杂文和其他(Others

 

[1] 从文学到数学:一个青年数学家的读书故事,数学文化 12 (2021), no. 2, 115-119.