李奇睿
浙江大学数学科学学院百人计划研究员
李奇睿,男,博士浙江大学“百人计划”研究员,浙江大学数学科学学院博士生导师。
人物经历
2004年9月-2008年6月在浙江大学获学士学位。
2008年9月-2014年3月在浙江大学获博士学位。
2011年12月-2014年6月在澳大利亚国立大学获博士学位。
2014年3月-2019年6月,澳大利亚国立大学博士后。
2019年7月起,浙江大学百人计划研究员。
主要成就
科研成就
科研综述
主要研究非线性方程及其应用,Monge最优运输问题,凸几何分析,曲率流,黎曼流形中的分析问题。
学术成果
The Lp dual Minkowski problem and related parabolic flows (with H. Chen). Preprint.PDF
The Lp-Brunn-Minkowski inequality for p<1 (with S. Chen, Y. Huang and J. Liu). Preprint.PDF
Variations of a class of Monge-Ampere type functionals and their applications (with H. Chen and S. Chen). Accepted byAnalysis&PDE.PDF
Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems (with W. Sheng and X.-J. Wang). Accepted byJ. Eur. Math. Soc.PDF
Infinitely many solutions for centro-affine Minkowski problem.Int. Math. Res. Not.in press.Article Link
Asymptotic convergence for a class of fully nonlinear curvature flows (with W. Sheng and X.-J. Wang).J Geom Anal (2019)in press.Article Link
Continuity for the Monge mass transfer problem in two dimensions (with F. Santambrogio and X.-J. Wang).Arch. Rational Mech. Anal.231 (2019), no. 2, 1045--1071.Article Link
The logarithmic Minkowski problem for non-symmetric measures (with S. Chen and G. Zhu).Trans. Amer. Math. Soc.371 (2019), no. 4, 2623--2641.Article Link
On the planar dual Minkowski problem (with S. Chen).Adv. Math.333 (2018), 87--117.Article Link
A class of optimal transportation problems on the sphere, Dedicated to Professor G.C. Dong on the occasion of his 90th birthday (with X.-J. Wang).Sci Sin Math48 (2018), no. 1, 181--200.Article Link
Two dimensional Monge-Ampere equations under incomplete Holder assumptions.Math. Res. Lett.24 (2017), no. 2, 485--506.Article Link
On the Lp Monge-Ampere equation (with S. Chen and G. Zhu).J. Differential Equations263 (2017), no. 8, 4997--5011.Article Link
Multiple solutions of the Lp-Minkowski problem (with Y. He and X.-J. Wang).Calc. Var. Partial Differential Equations55 (2016), no. 5, Paper No. 117, 13 pp.Article Link
Regularity of the homogeneous Monge-Ampere equation (with X.-J. Wang).Discrete Contin. Dyn. Syst.35 (2015), no. 12, 6069--6084.Article Link
Regularity in Monge's mass transfer problem (with F. Santambrogio and X.-J. Wang).J. Math. Pures Appl.102 (2014), no. 6, 1015--1040.Article Link
Positivity of Ma-Trudinger-Wang curvature on Riemannian surfaces (with S.-Z. Du).Calc. Var. Partial Differential Equations51 (2014), no. 3-4, 495--523.Article Link
Closed hypersurfaces with prescribed Weingarten curvature in Riemannian manifolds (with W. Sheng).Calc. Var. Partial Differential Equations48 (2013), no. 1-2, 41--66.Article Link
Some Dirichlet problems arising from conformal geometry (with W. Sheng).Pacific J. Math.251 (2011), no. 2, 337--359.Article Link
Surfaces expanding by the power of the Gauss curvature flow.Proc. Amer. Math. Soc.138 (2010), no. 11, 4089--4102.Article Link
组织会议
浙江大学非线性偏微分方程与几何分析研讨会;时间:2019年12月,地点:浙大紫金港校区。会议安排PDF。
人才培养
教学理念
鼓励毕业生们以“凡事勇于尝试”的精神迎接挑战、奋力拼搏,以坚韧不拔的品格和对创新事物的好奇精神实现最终的探索和发现,以“勇敢去追也可身段从容”的态度保持初心、保持纯粹,在追梦和奋进中实现对数学深沉的爱。
指导学生
已毕业研究生
徐 亮 (2021年9月--2024年6月,硕士研究生),毕业后在UCSD读博。
所获荣誉
2024年6月,浙江大学数学科学学院盛为民教授领衔的几何分析团队获评浙江大学第十届研究生“五好”导学团队荣誉称号,团队指导教师包括李奇睿研究员。
最新修订时间:2024-12-09 11:29
目录
概述
人物经历
主要成就
参考资料