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教授

工作经历：

2006至今，北京师范大学数学科学学院工作（历任讲师、副教授、教授）

教育经历：

2001-2006，中科院数学与系统科学研究院，基础数学，硕博连读，理学博士

1997-2001，河北工业大学，数学与应用数学，理学学士

社会服务：

中国教育学会中学数学教学专委会理事、学术委员会委员；《数学通报》编委；中央财经大学中国金融科技研究中心研究员（兼）

研究方向：

图和复杂网络的分析、几何与应用；数学教育

招生提示：

研究生：

招收1-2名学生，使用几何、PDE和计算机解决有应用背景的数学或交叉领域问题，需要数学基础扎实并有AI辅助编程经验；

招收1名学生，研究中华优秀传统文化中的数学思想和方法、数学教育中的人工智能技术；

欢迎推免生或考生联系

留学生：

I have no plans to enroll international students, including those funded by CSC.

在读学生：

2024级博士1名

已毕业学生：

2011级硕士1名（北京德胜中学）；2015级硕士1名（字节）；

2019级硕士1名（上海中船716所）；2021级硕士1名（转博）；

2022级硕士3名（北师大实验中学、北京四中、北京第十三中学）;

2023级硕士1名（人民大学，读博）； 2023级博士1名（中央民族大学，教职）

科研成果：

已在JMPA、CVPDE、JDE、PRE等期刊发表论文30余篇，2篇ESI高被引，出版专著或教材7部

预印本：

J. Zhao, J.C Ma, Y.Y. Yang, L. Zhao, Evolving edge weights according to the local random walk-based entropy flow, preprint, 2026
J.C Ma, Y.Y. Yang, J. Zhao, L. Zhao, Geometric Evolution Graph Convolutional Networks: Enhancing Graph Representation Learning via Ricci Flow, arXiv:2603.26178, 2026
J. Zhao, J.C Ma, Y.Y. Yang, L. Zhao, An efficient entropy flow on weighted graphs: theory and applications, arXiv:2604.08144, 2026
Y.L Tian, L. Zhao, Lin-Lu-Yau Ricci curvature on hypergraphs, arXiv:2507.04109, 2025

2026年：

M.Q. Shao, Y.Y. Yang, L. Zhao, Existence and convergence of solutions to p-Laplace equations on locally finite graphs, J. Korean Math. Soc., 63(2026), 821-843
J. Zhao, J.C Ma, Y.Y. Yang, L. Zhao, Core detection via Ricci curvature flows on weighted graphs, Physica A, 692(2026), 131525
W.Y. Ma, L. Zhao, Blow-up Solutions to Parabolic Differential Inequality with p-Laplacian on Locally Finite Graphs, accepted by JPDE, 2026
M.Q. Shao, Y.Y. Yang, L. Zhao, Nonlinear Diffusion Equations on Graphs: Global Well-Posedness, Blow-Up Analysis and Applications, Nonlinear Dynamics, 114(2026), 213
Y.L. Tian, D.S. Wang, L. Zhao, Normalized solutions to a p-Laplacian equation with an L2 constraint: the mass supercritical case, Acta Math. Sci. Series A, 46(2026), 1-30

2025年：

Y.L Tian, J.C Ma, Y.Y Yang, L. Zhao, Community detection of undirected hypergraphs by Ricci flow, Physical Review E, 112(2025), 044311
Y.L. Tian, L. Zhao, A note for W^{1,p}(V) and W_{0}^{1,p}(V)$ on a locally finite graph, Acta Math. Sci., 45(2025), 2135-2141
M.Q. Shao, Y.Y. Yang, L. Zhao, Sobolev spaces on locally finite graphs, Proc. Amer. Math. Soc., 153(2025), 693-708
M.Q. Shao, Y.L. Tian, L. Zhao, Calculus of variations on hypergraphs, J. Geom. Anal., 35(2025), 66

往年部分成果：

M.Q. Shao, Y.Y. Yang, L. Zhao, Multiplicity and limit of solutions for logarithmic Schrödinger equations on graphs, J. Math. Phys., 65(2024), 041508
Y.Y. Yang, L. Zhao, Normalized solutions for nonlinear Schrödinger equations on graphs, J. Math. Anal. Appl., 536(2024), 128173
X.L. Han, M.Q. Shao, L. Zhao, Existence and convergence of solutions for nonlinear biharmonic equations on graphs, J. Differential Equations, 2020
X.L. Han, L. Liu, L. Zhao, A global weak solution to the Lorentzian harmonic map flow, Sci. China Math., 2020
X.L. Han, J. Jost, L. Liu, L. Zhao, Global existence of the harmonic map heat flow into Lorentzian manifolds, Journal de Mathematiques Pures et Appliquees, 2019
N. Zhang, L. Zhao, Convergence of ground state solutions for nonlinear Schrödinger equations on graphs, Sci. China Math., 2018
X.L. Han, J. Jost, L. Liu, L. Zhao, Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces, Calc. Var. Partial Differential Equations, 2017