教育背景：

2013/09--2018/06     中科院数学所                  理学博士

2009/09--2013/06     中山大学数学学院           理学学士

 

工作经历：

2023/06—                  中山大学数学学院（珠海）  副教授

2020/07—2023/06     中山大学数学学院（珠海）  助理教授

2018/07--2020/06      北京大学数学科学学院         博士后

 

联系方式：

邮箱：weigd3@mail.sysu.edu.cn

 

研究领域：

几何分析，广义相对论中的数学问题

 

论文发表：

Publications:

[1] An Helein's type convergence theorem for conformal immersions from S^2 to manifolds, Proc. Amer. Math. Soc., 147 (2019), 4969-4977.

[2] Yamabe equation on some complete noncompact manifolds, Pacific J. Math., 302 (2019), no. 2,717-739.

[3] John-Nirenberg Radius and collapsing in conformal geometry, Asian Journal of Mathematics. 24(2020), no.5, 759-782 (with Y. Li and Z. Zhou).

[4] On the fill-in of nonnegative scalar curvature metrics, Math Ann. 379 (2021), 235-270 (with Y. Shi, W. Wang and J. Zhu).

[5] Yau Type Gradient Estimates For Δu+au(logu)p+bu=0 on Riemannian Manifolds, J. Math. Anal. Appl. 498 (2021), 124963, (with. B. Peng and Y. Wang).

[6] Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies. Sci. China Math. 64 (2021), 781-798.

[7] On the minimizers of curvature functionals in asymptotically flat manifolds, J. Geom. Anal. 31 (2021), 5837-5853.

[8] Total mean curvature of the boundary and nonnegative scalar curvature fill-ins,  J. Reine Angew. Math.,784(2022), 215-250 (with Y. Shi and W. Wang).

[9] On the nonexistence of positive solution to Δu+aup+1=0 on Riemannian manifolds. J. Differential Equations 362 (2023), 74-87 (with Y. Wang)

 

 

科研项目：

  1. 国家自然科学基金重点专项项目, 12141106, 洛伦兹几何与爱因斯坦方程 参与
  2. 国家自然科学基金青年项目, 12101619, 具有非负数量曲率带边流形上的一些几何分析问题研究 主持
  3. 博士后科学基金面上项目, 2019M660274, 渐近平坦流形和渐近双曲流形上的 Penrose 不等式研究 主持
  4. 国家自然科学基金重点项目, 11731001, 渐近平坦与渐近双曲流形中的几何分析问题 参与

 

学术活动：

  1. Geometric Analysis Seminar, Tsinghua University, 26/05/2023.
  2. Geometric Analysis and PDE Seminar, AMSS, 13/05/2023.
  3. Joint Geometric Analysis Seminar, USTC/WHU/RUC, 27/03/2023.
  4. Geometric Analysis Seminar, Henan Polytechnic University, 18/12/2022，20/12/2022.
  5. Geometric Analysis Seminar, Hunan University, 09/12/2022,11/12/2022.
  6. Workshop on Geometric Analysis, Guangzhou University, 26-27/11/2022.
  7. Geometric Analysis Seminar, Hubei University, 23/09/2022.
  8. Summer School on Geometric Analysis, Tianyuan Mathematical Center in Southeast China, Xiamen University, 13/07-25/07/2022.
  9. Workshop on Geometric Analysis and PDE, Tsinghua University, 25/06-26/06/2022.
  10. Workshop on Geometry: In memory of Professor Weiyue Ding, 1945-2014, Westlake University, 11/12-13/12/2021.
  11. Young Scholar Geometric Analysis Seminar, Fudan University/ Shanghai Center for Mathematical Sciences, 10/08-12/08/2021.
  12. Summer School in Geometric Analysis, AMSS/USTC,01/06-25/06/2021.
  13. Young Scholar Geometric Analysis Seminar, Sun Yet-sen University, 21/05-24/05/2021.
  14. Partial Differential Equations and Geometric Analysis Seminar, Yunnan University, 10/04-11/04/2021.
  15. Geometric Analysis Seminar, Capital Normal University, 28/03/2021.
  16. Southeast Geometric Analysis Seminar, Tianyuan Mathematical Center in Southeast China, Xiamen;18-20/12/2020.
  17. Geometric Analysis Seminar, Guangzhou University, 10/12/2020.
  18. Geometric Analysis Seminar, Academy of Mathematics and System Science, Chinese Academy of Sciences, 19/12/2019.
  19. Geometric Analysis Seminar, Morningside Center of Mathematics, Chinese Academy of Sciences, 01/12/2019.
  20. Geometric Analysis and Mathematical General Relativity Seminar, Beijing International Center for Mathematical Research, 03/08-08/08/2019.
  21. Partial Differential Equations and Geometric Analysis Seminar, Yunnan University, 28/07-02/08/2019.
  22. Geometric Analysis Seminar, Central China Normal University, 18/03/2019.
  23. Geometric Analysis Seminar, Wuhan University, 17/03/2019.