10.拓扑学Topology（校级全英文精品课程），东南大学校级课程建设，2020，主持

9.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

8.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

7.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

6.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

5.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

4.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

3.Geometry of random evolutions，GEOMREVO14/7628746，Fonds National de la Recherche Luxembourg (FNR) unde the OPEN scheme，2015-2018，参与者

2.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

1.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

Textbooks

(1)李逸，基本分析讲义（第一卷）.pdf(10/21/2021,updated)

               基本分析讲义（第二卷）.pdf

(2) Yi Li, Topology_2021_.pdf (5/11/2021,updated)

(3) Yi Li,  Riemannian_manifolds.pdf (5/21/2021, updated)

(4) Yi Li,  东南大学数学系史（1902-1949）（第8稿）.pdf（8/30/2021)

(5) Yi Li, 上海交通大学数学系史 (1896-1949), in preparation

(6) Yi Li, 宁波大学数学系史(1986-now), in preparation

Publications

(21) Li, Yi; Yuan, Yuan. Local curvature estimates along the k-LYZ flow, J. Geom. Phys., 164(2021), 104162, 21pp.

(20) Li, Yi. Local curvature estimates for the Lapalcian flow,  Cal. Var. PDE., 60(2021), no. 1, Paper No. 28, 37pp.

(19) Li, Yi; Yuan, Yuan; Zhang, Yuguang. On a new geometric flow over Kahler manifolds, Comm. Analysis and Geometry, 28(2020), no. 6, 1251-1288.

(18) Zhu, Xiaorui; Li, Yi. 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

(6) Li, Yi. Scalar curvature along the Ricci flow, preprint, 2019 (submitted).

(5) Li, Xiangdong; Li, Songzi; Li, Yi. Uniqueness and local curvature estimates for a class of generalized Ricci flow, preprint, 2019.

(4) Li, Yi. Local curvature estimates for the Ricci-harmonic flow, preprint, arXiv: 1810.09760v1 (submitted)

(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

(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.