Curriculum VitaeAppointment 2019/3 - now Full Professor, School of Mathematics and Shing-Tung Yau Center, Southeast University 2018/12 - 2019/2 Visiting Professor, S.-T. Yau Center of Southest University 2016/12 - 2018/11 Assistant-Chercheur, Department of Mathematics, Universite du Luxembourg 2014/3 - 2014/6 Visiting Professor, Shanghai Center for Mathematical Sciences 2013/6 - 2016/11 Special Researcher,Department of mathematics, Shanghai Jiao Tong University 2012/6 - 2013/5 Lecturer, Department of Mathematics, Johns Hopkins University Education 2007 - 2012 Ph.D. Mathematics, Harvard University, U.S.A. 2004 - 2007 M.S. Mathematics, Zhejiang University, China 2000 - 2004 B.S. Mathematics, Ningbo University, China yilicms@seu.edu.cn yilicms@gmail.com yilicms@163.com ResearchI am interested in differential geometry, complex geometry, geometric analysis, geometric flow, nonlinear geometric type PDEs, and general relativity and their applications. Honors and AwardsHonors 美国《Math. Reviews》评论员 数学学术期刊审稿人 几何分析会议组织者 东南大学数学学院应用数学系副主任 民进江苏省直工委副主任 江苏省民进第十一届社会工作委员会委员 民进东南大学委员会副主委 南京市侨联青年委员会第三届委员大会常务委员(2020-2025) 宁波大学数学与统计学院校友会第一届理事会常务理事 南京欧美同学会科技教育委员会委员 上海市欧美同学会留美分会第八届理事 上海市欧美同学会留美分会第一届青年工作组骨干成员 秦淮硅巷创新实验室专家团队成员 2022年东南大学十佳优秀班主任标兵 2021-2022年东南大学优秀本科生导师 2022年3月,《建议加快布局国家基础数学中心》,中央统战部《零讯》 2021-2022年度参政议政成果二等奖,,民进江苏省委 2021年度先进个人,民进江苏省委 2021年东南大学统一战线庆祝中国共产党成立100周年诵读会,团体二等奖 2021年江苏省委教育工委庆祝中国共产党成立100周年“我的同心故事”主题征文活动,优胜奖 2020年度优秀会员,中国民主促进会江苏省委员会直属工作委员会 2018年度、2019年度反映社情民意积极分子,民进上海交通大学委员会 2015年度上海交通大学教职工考核优秀 2016年首届上海交通大学青年教师教学竞赛,上海交通大学,三等奖 2016年上海交通大学校长教学奖(以培养未来拔尖创新人才为目标的新型微积分教学模式的探索与实践),上海交通大学,特等奖,2016,梁进、朱佐农、李伟民、李逸 Grants 1. 拓扑学Topology(校级全英文精品课程),东南大学校级课程建设,2021,主持 2. 基于深度学习的电磁能装备电磁热力多物理场耦合高精度数值计算方法研究(92066106),国家自然科学基金“极端条件电磁装备科学基础”重大研究计划,2021/1-2023/12,第一参与者 3. 流形上函数的频率及几何应用(12026409),国家自然科学基金天元基金,2021/1-2021/12,主要参与者 4. 几何流中曲率的研究,东南大学理科攀升计划专项科研启动经费,2020/1-2020/12,主持 5. 流形上函数的频率及几何应用(11926313),国家自然科学基金天元基金,2020/1-2020/12,参与者 6. 微分几何中几何流和几何型偏微分方程的研究,东南大学人才引进科研启动经费,2019/3-2019/12,主持 7. 流形上函数的频率及几何应用(11826031),国家自然科学基金天元基金,2019/1-2019/12,参与者 8. Geometry of random evolutions,GEOMREVO14/7628746,Fonds National de la Recherche Luxembourg (FNR) unde the OPEN scheme,2015-2018,参与者 9. 紧致流形上一类几何流和几何型方程的研究及应用(11401374),国家自然科学基金青年基金,2015/1-2017/12,主持 10. 流形上若干几何流的研究(14YF1401400),上海市科委杨帆计划,2014/7-2017/6,主持 兴趣爱好 1840年之后的中国历史及世界历史,明史,中共党史,军事,篮球和跑步。 Teaching28. 2023年春学期:复几何和复代数几何(研究生课程) 27. 2023年春学期:拓扑学(全英文) 26.2023年春学期:高等数学2(全英文) 25. 2022秋学期:MS007103-微分流形(研究生课程) 24. 2022秋学期:B07M4010-复变函数 23. 2022秋学期:B0712030-微分流形 22. 2022秋学期:B07M1190-高等数学I(全英文) 21. 2022春学期:DB007151-几何流(研究生课程) 20. 2022春学期:MS007215-几何变分理论(研究生课程) 19. 2022年春学期,B15M0100-形势与政策(4) 18. 2022年春学期:B07M1130-理科数学分析II(强基班) 17. 2022年春学期:B0711030-拓扑学 16. 2021年冬学期:B0704070-理学主题研讨课程I 15. 2021年秋学期:MS007103-微分流形(研究生课程) 14. 2021年秋学期:B15M0090-形势与政策(3) 13. 2021年秋学期:B15M0070-形势与政策(1) 12. 2021年秋学期:B07M1120-理科数学分析I(强基班) 11. 2021年春学期:B07M1130-理科数学分析2(强基班) 10. 2021年春学期:B0711030-拓扑学 9. 2021年春学期:B0712030-微分流形 8. 2020年秋学期:理学主题研讨课 7. 2020年秋学期:B15M0090-形势与政策3 6. 2020年秋学期:B07M1120-理科数学分析1(强基班) 5. 2020年秋学期:B0711030-拓扑学 4. 2020年春学期:B0712030-微分流形 3. 2020年春学期:B07M1020-数学分析2 2. 2019年秋学期:B0711030-拓扑学 1. 2019年秋学期:B07M1010-数学分析1 (a)本科毕业设计:2022年,4名 (b)本科SRTP项目:2021年,1项 (c)东大优秀生、吴健雄学院、理科实验班、数学强基班指导:迄今为止30余名 (d)硕士研究生:毕业(3名,其中1名公派联合培养博士),在读(2名) PublicationsPublications 23. Li, Yi. A new notion on weighted Riemann curvature, Rendiconti del Circolo Matematico di Palermo Series 2, 2022. doi:10.1007/s12215-022-00812-0 22. Li, Yi. Local curvature estimates for the Ricci-harmonic flow, Nonlinear Analysis, 222 (2022) 112961. 21. Li, Yi; Yuan, Yuan. Local curvature estimates along the k-LYZ flow, J. Geom. Phys., 164(2021),https://doi.org/10.1016/j.geomphys.2021.104162 20. Li, Yi. Local curvature estimates for the Lapalcian flow, Cal. Var. PDE., 60(2021), no. 1, Article number 28 19. Li, Yi; Yuan, Yuan; Zhang, Yuguang. A new geometric flow over Kahler manifolds, Comm. Analysis and Geometry, 28(2020), no. 6, 1251-1288 18. Zhu, Xiaorui; Li, Yi. Li-Yau Harnack estimates for a heat-type equation under the geometric flow, Potential Analysis, 52(2020), 469-496. MR4067300 17. Li, Yi. Generalized Ricci flow II: existence for noncompact complete manifolds, Differential Geometry and its Applications, 66(2019), 106-154. MR3913713 16. Li, Yi. Long time existence and bounded scalar curvature in the Ricci-harmonic flow, J. Differential Equations, 265(2018), no. 1, 69-97. MR3782539 15. Li, Yi; Zhu, Xiaorui. Harnack estimates for a nonlinear equation under Ricci flow, Differential Geometry and its Applications, 56(2018), 67-80. MR3759353 14. Li, Yi. Long time existence of Ricci-harmonic flow, Front. Math. China, 11(2016), no. 5, 1313-1334. MR3547931 13. Li, Yi; Zhu, Xiaorui. Harnack estimates for a heat-type equation under the Ricci flow, J. Differential Equations, 260(2016), no. 4, 3270-3301. MR343499 12. Li, Yi. Li-Yau-Hamilton estimates and Bakry-Emery Ricci curvature, Nonlinear Anal., 113(2015), 1-32. MR3281843 11. Li, Yi; Liu, Kefeng. A geometric heat flow for vector fields, Sci. China Math., 58(2015), no. 4, 673-688.MR3319305 10. Zhu, Xiaorui; Li, Yi.Li-Yau estimates for a nonlinear parabolic equation on manifolds,Math. Phys. Anal. Geom., 17(2014), no. 3-4, 273-288. MR3291929 9. Li, Yi. A priori estimates for Donaldson's equation over compact Hermitian manifolds, Cal. Var. PDE., 50(2014), no. 3-4, 867-882. MR3216837 8. Li, Yi. On an extension of the Hk-mean curvature flow for closed convex hypersurfaces, Geom. edicata,172(2014), 147-154. MR3253775 7. Li, Yi. Eigenvalues and entropies under the harmonic-Ricci flow, Pacific J. Math.,267(2014), no. 1, 141-184. MR3163480 6. Li, Yi. Mabuchi and Aubin-Yau functionals over complex surfaces, J. Math. Anal. Appl., 416(2014), no. 1, 81-98. MR3182749 5. Li Yi. On an extension of the Hk-mean curvature flow, Sci. China Math., 55(2012), no. 1, 99-118. MR2873806 4. Li, Yi. Generalized Ricci flow I: higher derivatives estimates for compact manifolds, Analysis & PDE, 5(2012), no. 4, 747-775. MR3006641 3. Li Yi. Harnack inequality for the negative power Gaussian curvature flow, Proc. Amer. Math. Soc., 139(2011), no. 10, 3707-3717. MR2813400 (2012g: 53137) 2. Chen Lin; Li Yi; Liu Kefeng. Localization, Hurwitz numbers and the Witten conjecture, Asian J. Math., 12(2008), no. 4, 511-518. MR2481688 (2009m: 14084) 1. Li Yi. Some results of the Marino-Vafa formula, Math. Res. Lett., 13(2006), no. 6, 847-864. MR2280780 (2007g: 14071) Preprints 8. Li, Yi; Li, Chuanhuan; Xu, Kairui. Parabolic frequency monotonicity on Ricci flow and Ricci-harmonic flow with bounded curvatures, preprint, https://arxiv.org/abs/2205.07702 (submitted) 7. Li, Yi; Li, Chuanhuan. List's flow with bounded integral curvature on noncompact complete Riemannian manifolds, preprint, 2022 6. Li, Yi; Zhang, Miaoseng. A local curvature estimate for the Ricci-harmonic flow on complete Riemannian manifolds, preprint, http://arxiv.org/abs/2112.02576 (submitted) 5. Li, Yi. Scalar curvature along the Ricci flow, preprint, 2019 (submitted) 4. Li, Xiangdong; Li, Songzi; Li, Yi. Uniqueness and local curvature estimates for a class of generalized Ricci flow, preprint, 2019 3. Wu, Guoqiang; Li, Yi. Heat kernel estimates along the Ricci-harmonic flow, preprint, 2017 (submitted) 2. Li, Yi. Mabuchi and Aubin-Yau functionals over complex manifolds, arXiv: 1004.0553, preprint 1. Li, Yi. Mabuchi and Aubin-Yau functionals over complex three-folds, arXiv: 1003.5307, preprint In preparation 5. Li, Yi. CR twistor space and exceptional Lie groups, 2022. 4. Li, Yi. A project on Einstein scalar field equations. 3. Li, Yi. Geometry on Ricc-harmonic metrics. 2. Li, Yi. Laplacian G2-flow II, in preparation, 2021. 1. Li, Yi; Yuan, Yuan. On a new geometric flow over Kahler manifolds III: long time behavior, in preparation, 2021. Textbooks 3. Li, Yi. Basic Manifolds. (Lecture Notes for Undergraduate Course) 2. Li, Yi. Basic Topology. (Lecture Notes for Undergraduate Course) 1. Li Yi. Basic Mathematical Analysis. (Lecture Notes for Undergraduate Course, in chinese) |