工作经历 2023.12-至今 南开大学数学学院 教授 2016.12-2023.12南开大学数学学院 副教授 2014.10-2016.12 南开大学数学学院 讲师 教育经历 2004.09-2008.07 吉林大学数学学院 本科 2008.09-2013.01 清华大学数学系 博士 2011.09-2014.07 德国比勒菲尔德大学数学系 博士 【科研项目】 主持的科研项目： 1. 国家自然科学基金青年科学基金项目：“黎曼流形上椭圆微分不等式非负解的唯一性及其相关问题的研究”，21.16万元，No.11501303, 2016.01-2018.12。 2. 教育部留学人员回国启动基金项目：“黎曼流形上积分型体积增长估计与微分不等式解的唯一性研究”，3万元，2015.01-2017.12。 3. 教育部高校基本科研业务费：“外区域上抛物型微分不等式的研究”，12万元，2016.01.-2017.12。 4. 南开大学百名青年学科带头人培养计划：“黎曼流形上微分不等式解的研究”，50万元， 2014.12-2020.12。 5. 天津市青年科学基金：“黎曼流形上带位势项非线性抛物方程及其相关问题的研究”， 6万元， 2019.04-2022.03。 6. 国家自然科学基金面上项目：“几类非线性椭圆问题在黎曼流形和加权图上的研究”，43.5万，No. 12371206，2024.01-2027.12 参与的科研项目： 1. 国家自然科学基金国际(地区)合作与交流项目：“函数空间实变理论及其应用”，主持人：北京师范大学杨大春教授，180万元，No.11761131002, 2018.01.01-2020.12.31。 2. 国家自然科学基金面上项目：“分形集上的热核及某些微分不等式”，主持人：清华大学胡家信教授，54万元，No11871296,2019.01-2022.12。 荣誉奖励 入选2017年度“131”天津创新型人才第三层次人选，2022年获得天津市数学与统计学联合学术年会“青年学者奖”，2022，2023年度尚格奖教金。 讲授课程 本科生课程：高等代数与解析几何，数学分析，高等数学，常微分方程，数理方程，变分学。 研究生课程：偏微分方程。

流形与加权图上的分析和偏微分方程

Liouville-type laws for quasilinear equations with absorption or source, submitted. (with W. Li, J. Xiao) Sharp criteria for system of elliptic differential inequalities on manifolds, submitted. (with D. Ye, Y. Zheng) Sharp criteria for nonlocal elliptic inequalities on manifolds, arXiv: 2304.02808, submitted.(with Q. Gu, X. Huang) On positive solutions of biharmonic elliptic inequalities on Riemannian manifolds, arXiv:2206.05489, submitted.(with Y. Zheng) A priori estimates and Liouville type results for quasilinear elliptic equations involving gradient terms, to appear in Journal d'Analyse Mathematique. (with R. Filippucci, Y. Zheng) Sharp Liouville type results for semilinear elliptic inequalities involving gradient terms on weighted graphs, Discrete Contin. Dyn. Syst. Ser. S16(2023), no.6, 1484-1516. (with L. Hao) Higher order evolution inequalities with convection terms in an exterior domain of R^N, J. Math. Anal. Appl. Volume 519, Issue 1, 1 March 2023, 126738. (with M. Jleli, B. Samet) On existence and nonexistence of nonnegative solutions to heat equation on Riemannian manifolds, to appear in Geometric Potential Analysis - AAG 6, De Gruyter. (with F. Xu) Semi-linear elliptic inequalities on weighted graphs, Calc. Var. PDEs.,62, 42(2023). (with Q. Gu, X. Huang) Quasilinear Laplace Equations and Inequalities with Fractional Orders,Math. Ann., Vol. 388(2024), 1-60. (with L. Liu, J. Xiao) A sharp Liouville principle for $\Delta_mu+u^p|\nabla u|^q\le 0$ on geodesically complete noncompact Riemannian manifolds, Math. Ann. 384 (2022), Vol. 384, 1309–1341. (with J. Xiao, F. Xu) Alexander Grigor'yan and Yuhua Sun, Analysis and partial differential equations on manifolds, fractals and graphs, de Gruyter series Advances in Analysis and Geometry 3, 2021. https://www.degruyter.com/view/title/578846?language=en On nonexistence results of porous medium type equations and differential inequalities on Riemannian manifolds, Advances in Analysis and Geometry 3, de Gruyter.(with F. Xu) Global positive solution to a semi-linear parabolic equation with potential on Riemannian manifold, Calc. Var. PDEs 59,Article number:170(2020). (with Q. Gu, J. Xiao, F. Xu) Superlinear elliptic inequalities on manifolds, J. Func. Anal. 278(2020), no. 9, 108444.(with A. Grigor’yan, I. Verbitsky) On positive solutions of semilinear elliptic inequalities on Riemannian manifolds, Calc. Var. PDEs. 58(2019),no. 6, Art.207, 30pp.(with A. Grigor’yan) Liouville type theorems forsystems of elliptic differential inequalities on Riemannian manifolds, J. Math. Anal. Appl. Vol. 466(2018), No.1, 426-446.(with F. Xu, L. Wang) Absence of positive solutions to the system of differential inequalities on manifolds, J. Math. Phys. 59(2018), 011510. Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of R^n, Pacific J. Math, Vol. 293 (2018), No. 1, 245–256.