副教授
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黄立鼎

职称:副教授

职务:

学历:博士

电子邮件:huangliding@xmu.edu.cn

联系电话:

办 公 室:厦门大学海韵园物机大楼508

教育经历:

2017/09-2021/06: University of Science and Technology of China, Ph.D. in Mathematics.

2019/09-2021/04: The University of British Columbia, Visiting student.

2013/09-2017/06: Peking University, M.S. in Mathematics.

2009/09-2013/06: Fujian Normal University, B.S. in Mathematics and Applied Mathematics.

工作经历:

2023/07-present: Xiamen University, Associate Professor.

2021/07-2023/07: Westlake Institute for Advanced Study (Westlake University),  Postdoctoral Fellow.

研究方向:

Differential Geometry, Geometric Analysis, Nonlinear PDEs.

获奖:

2023 西湖大学优秀博士后

2021 中国科开云网页版院长奖

主持项目:

中国博士后科学基金特别资助(站中)(No.2022T150584) :2022/07-2023/07.

中国博士后科学基金面上资助一等(No. 2021M700127):2021/11-2023/07.

论文:

11. A $C^{2, \alpha, \beta}$ estimate for complex Monge-Amp\`ere type equations with conic sigularities (with G. Tian and J. Wang), submitted.

10. The 2-nd Hessian type equation on almost Hermitian manifolds (with J. Chu and X. Zhu ), preprint, arXiv: 1707.04072, 2017.

9. The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation, (with J. Zhang),  accepted  by Proceedings  of the American Mathematical Society.

8. Fully nonlinear elliptic equations with gradient terms on compact almost Hermitian manifolds, (with J. Zhang),  Mathematische Zeitschrift.  303 (2023), no. 2, Paper No. 36, 24.

7. Fully non-linear elliptic equations on compact almost Hermitian manifolds (with J.Chu and J. Zhang),  Calc. Var. Partial Differential Equations 62 (2023), no. 3.

6. The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds (with J. Zhang and X. Zhang),  Sci. China  Math. 65 (2022), no. 1, 127–152.

5. The adiabatic limit of Fu-Yau equations,  Acta Mathematica Sinica, English Series, 38 (2022), no. 7, 1255–1270.  

4. On stability of the fibres of Hopf surfaces as harmonic maps and minimal surfaces (with J. Chen),Trans. Amer. Math. Soc. 374 (2021), no. 12, 8661–8690.

3. The Green's functions for equation with conic metrics (with B. Zhou), Calc. Var. Partial Differential Equations 60 (2021), no. 6, Paper No. 232.

2. The Fu-Yau equation on compact astheno-K\"ahler manifolds (with J. Chu and  X. Zhu ), Adv. Math. 346 (2019), 908–945.

1. The Fu-Yau equation in higher dimensions (with J. Chu and X. Zhu ), Peking Mathematical Journal.  2 (2019), no. 1, 71–97.