个人简介
贺杰于2009–2013年在南开大学数学科学学院数学试点班完成本科学习，2013–2018年在中国科学院数学与系统科学研究院基础数学专业攻读博士学位，师从王友德研究员。2020年起任职于北京化工大学数理学院。 其主要研究方向为复几何与几何分析，相关研究成果已发表于 Journal of Functional Analysis, Mathematische Zeitschrift, Journal of Geometric Analysis, Journal of Differential Equations 等学术期刊。主持国家自然科学基金数学天元项目“Twisted 卡拉比流的研究”。 博士后期间曾从事深度学习相关研究（目前不再从事该方向）。目前主要研究兴趣包括流形上退化型椭圆偏微分方程以及若干几何曲率流问题。欢迎交流与合作。
近几年的部分文章： Han Dong, He Jie, Wang Youde. Gradient estimates for Δ_p u+A|∇u|^q+Bu^r+C=0 on manifolds and applications J. Funct. Anal. 290 (2026), no. 4, Paper No. 111274, 40 pp. Han Dong, He Jie, Wang Youde. Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems. J. Differential Equations(2025), Paper No. 113724, 36 pp. Jie He, Yuanqing Ma and Youde Wang. Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems.J. Differential Equations(2025), Paper No. 113233, 39 pp. He, Jie,Wang youde, Wei Guodong.Gradient estimate for solutions of the equation Δ_p u+au^q=0 on a complete Riemannian manifold.Math. Z. 306 (2024), no. 3, Paper No. 42, 19 pp. He Jie, Zheng Kai. Hermitian Calabi functional in complexified orbits.Internat. J. Math. 34 (2023), no. 8, Paper No. 2350047, 44 pp.
教育经历
| 入学时间 |
毕业时间 |
学位授予单位 |
学历 |
| 2013-09-16 |
2018-06-23 |
中科院数学与系统科学研究院 |
博士研究生毕业 |
| 2009-09-16 |
2013-06-23 |
南开大学 |
大学本科毕业 |
工作经历
| 起始年月 |
截止年月 |
所在单位名称 |
| 2018-07-15 |
2020-07-15 |
中国科学院自动化研究所 |
社会职务
美国数学会 Mathematical Reviews 评论员 Calculates of Variation and Partial Differential Equaitons 杂志审稿人
研究领域
本人主要从事于几何分析与复几何的研究，集中在以下几个方向： 1.流形上的拟线性椭圆方程的Liouville定理和先验估计； 2.Kahler/近Kahler流形上的典则度量的研究，包括曲率泛函、几何曲率流等；
本科生
| 课程名称 |
开课学年 |
课程总学时 |
选课人数 |
课程性质 |
| 微分几何 |
2025 |
56 |
|
专业选修 |
| 微分几何 |
2025 |
56 |
|
专业必修 |
| 微分几何 |
2024 |
56 |
3 |
专业选修 |
| 微分几何 |
2024 |
56 |
54 |
专业必修 |
| 概率论与数理统计B |
2024 |
48 |
107 |
公共基础必修 |
| 微分几何 |
2023 |
56 |
7 |
专业选修 |
| 微分几何 |
2023 |
56 |
74 |
专业必修 |
| 概率论与数理统计B |
2023 |
48 |
154 |
公共基础必修 |
| 概率论与数理统计B |
2023 |
48 |
106 |
公共基础必修 |
| 线性代数B |
2022 |
48 |
110 |
公共基础必修 |
| 抽象代数 |
2022 |
48 |
38 |
专业必修 |
| 抽象代数 |
2022 |
48 |
15 |
专业选修 |
| 线性代数B |
2021 |
48 |
110 |
公共基础必修 |
| 微分几何 |
2021 |
56 |
25 |
专业选修 |
| 线性代数B |
2021 |
48 |
29 |
公共基础必修 |
| 线性代数A |
2021 |
56 |
112 |
公共基础必修 |
研究生
| 课程名称 |
开课学年 |
总学时 |
开课方式 |
| 拓扑学 |
2025 |
64 |
D专业选修课 |
| 拓扑学 |
2024 |
64 |
D专业选修课 |
| 拓扑学 |
2023 |
64 |
D专业选修课 |
| 拓扑学 |
2022 |
64 |
D专业选修课 |
| 拓扑学 |
2021 |
64 |
D专业选修课 |
纵向项目
- 1. Twisted？Calabi流的研究 ，国家自然科学基金项目，项目时间：2025-01-01 至 2025-12-31
论文信息
[+][-]代表性论文
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]
2030年
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]
2029年
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]
2028年
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]
2027年
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]
2026年
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]
2025年
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]
2024年
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]
2023年
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
[+][-]2023年之前
-
1. DOI
韩冬,贺杰,王友德
Universal gradient estimates for quasilinear Hamilton-Jacobi type equation on manifolds and Liouville theorems[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-08-17
-
2. DOI
He, Jie;Ma, Yuanqing;Wang, Youde
Universal log-gradient estimates of solutions to Δpv + bvq + cv？=0 on manifolds and applications[期刊论文]，JOURNAL OF DIFFERENTIAL EQUATIONS，2025-07-25
-
3. DOI
贺杰,刘亦陆,文诗云,杨慧
Gradient Estimate for Solutions of the Equation Δpu = a|？u|q +becu on a Complete Riemannian Manifol[期刊论文]，Contemporary Mathematic，2025-06-04
-
4. DOI
He, Jie;Wang, Youde;Wei, Guodong
Gradient estimate for solutions of the equation Δpv+avq =0 on a complete Riemannian manifold[期刊论文]，MATHEMATISCHE ZEITSCHRIFT，2024-03-01
-
5. DOI
He, Jie;Zheng, Kai
HERMITIAN CALABI FUNCTIONAL IN COMPLEXIFIED ORBITS[期刊论文]，International Journal of Mathematics，2023-07-29
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