基本介紹
- 中文名：焦哲哲
- 學位/學歷：博士
- 職業：教師
- 專業方向：數學-套用數學,生物學-生物物理學
- 任職院校：西北工業大學
個人經歷,教育教學,科學研究,學術成果,
個人經歷
工作經歷 Work Experience
-2017/04-Present, Assistant Professor, Department of Applied Mathematics, Northwestern Polytechnical University.
-2016/07-2017/03, Postdoctoral Researcher for Computational Neuroscience, School of Life Sciences, Fudan University.
教育經歷 Education Experience
Education
-2011/09-2016/06, Ph. D. in Applied Mathematics, Fudan University.
-2007/09-2011/07, B. S. in Computational Mathematics, Northeastern University.
Exchange
-2012/07-2012/08, Visiting student, Yau Mathematical Sciences Center, Tsinghua University.
-2011/02-2011/06, Visiting student, Beijing International Center for Mathematical Research, Peking University.
教育教學
Education And Teaching
Fall of 2018, Real Analysis and its Applications. (Graduate students)
**References: G. Folland, Real Analysis, 1999; P. Halmos, Measure Theory, GTM18.
Fall of 2018, Stochastic Differential Equations. (Graduate students)
**References: L. Evans, Introduction to Stochastic Differential Equations, 2013.
Spring of 2019, Mini-course on SPDEs. (Graduate students)
**References: L. Evans, Partial Differential Equations, 1988; D. Khoshnevisan, Analysis of SPDEs, 2014.
Fall of 2019, Probability and Statistics. (Undergraduate students)
科學研究
Scientific Research
Nonlinear evolution equations and infinite dimensional nonlinear dynamical systems arising in physics, material science, biology.
1. Analysis of PDEs (Dissipative wave equations, Reaction-Diffusion Equations etc)
**We are doing a comprehensive research about the propagation of elastic/acoustic waves in bounded domains.
**Some interesting problems related to stochastic nonlinear wave equaitons have come into our sight recently.
2. Quantitative biology (neuroscience, tumor growth, chemotaxis etc)
**Our work now has a special focus on cerebellar circuit to study the undrlying mechanisms of timing in perception and action.
3. Stochastic theory of non-equilibrium statistic mechanics and its applications
Deep learning from applied mathematics perspective and applications
1. Machine learing methods in neuroscience
**To understanding the development and organization of cortical processing by artificial neural networks.
2. Sparse representation on general domains (surfaces, manifolds, graphs, etc)
Research Grants
1. Fundamental Research Funds for the Central Universities, No. 310201911CX033, 150000, 2019.9-2020.12, PI.
2. National Natural Science Foundation (Youth Program), No. 11802236, 260000, 2019.1-2021.12, PI.
3. Fundamental Research Funds for the Central Universities, No. 3102017OQD073, 150000, 2017.4-2018.12, PI.
學術成果
Academic Achievements
-Stochastic Wave Equations
1. Zhe Jiao, Armen Shirikyan, Yong Xu, Exponential mixing for stochastic nonlinear wave equation with a critical growth exponent (in preparation).
2. Zhe Jiao, Armen Shirikyan, Yong Xu, Stationary measures for damped wave equation forced by boundary noise (in preparation).
-Pattern Formation
1. Zhe Jiao, Propagation of acoustic waves in homogeneous or heterogeneous media (in preparation).
-Quantitative Neurobiology
1. Zhe Jiao, Bo Liu, Yong Xu, Shanglin Zhou, Timing mechanism in cerebellar Purkinje cells (in preparation).
2. Zhe Jiao, Yong Xu, Balanced synaptic input promotes efficient dendritic integration, Preprint, 2017.
3. Zhe Jiao, Yuguo Yu, Cable energy functions for cortical axons: equivalent formulas, Submitted, 2018.
-Dissipative Wave Equations
1. Zhe Jiao, On the spectral properties and stability of acoustic wave, Preprint, 2018.
2. Zhe Jiao, Yong Xu, Global existence and stability for semilinear wave equations damped by time-dependent boundary frictions, Applied Mathematics and Computation 354(2019), 282-295.
3. Zhe Jiao, Yong Xu, Global convergence and speed estimates for semilinear wave systems damped by boundary frictions, Submitted, 2018.
4. Zhe Jiao, Yong Xu, Local convergence and speed estimates for semilinear wave systems damped by boundary friction, Journal of Mathematical Analysis and Applications 462(2018), 590-600.
5. Zhe Jiao, Yong Xu, Acoustic wave motions stabilized by boundary memory damping II. Polynomial stability, Applied Mathematics Letters 85(2018), 35-40.
6. Zhe Jiao, Ti-Jun Xiao, Acoustic wave motions stabilized by boundary memory damping I. Wellposedness and strong stability, Applied Mathematics Letters 57(2016), 82-89.
7. Zhe Jiao, Yong Xu, Convergence and speed estimates for semilinear wave systems with nonautonomous damping II, Submitted, 2018.
8. Zhe Jiao, Ti-Jun Xiao, Convergence and speed estimates for semilinear wave systems with nonautonomous damping I, Mathematical Methods in Applied Sciences 39(2016), 5465-5474.
-Lecture Notes
1. Zhe Jiao, Statistical Learning and Applications, Preprint, 2019.
2. Zhe Jiao, Introduction to Stochastic PDEs, Preprint, 2019.
3. Zhe Jiao, Introduction to Measrue Theory and Probability, 2018.
4. Zhe Jiao, Dynamical analysis for cerebellar Purkinje cells, Preprint, 2017.
5. Zhe Jiao, Microlocal analysis in control, observation ans stabilization for hyperbolic equations, 2016.
學術活動 Professional Activities
2017 Activities
-Visit to BICMR , May 16-25, 2017, Peking University, Beijing, China.
-The 14th International Conference on Free Boundary Problems: Theory and Applications, July 9-14, 2017, Shanghai Jiao Tong University, Shanghai, China.
-2017 Fall program on analysis of PDE: Free boundary problems, October 16-20, 2017, SCMS , Fudan University, Shanghai, China.
2018 Activities
-Visit Prof. Armen Shirikyan at University of Cergy-Pontoise, France, May 20-June 10, 2018.
-Visit Dr. Qiang Xu at Lanzhou University, July 30-August 2, 2018.
2019 Activities
-Visit Dr. Xinlei Yi at KTH Royal Institute of Technology, Sweden, April 25-May 13, 2019.
-VIsit BICMR, Peking University, Beijing, China, May 23-25, 2019.
-Visit to Max-Planck Institute for Mathematics in the Sciences, Germany, July 15-August 15, 2019.
-Visit to Max-Planck Institute for Mathematics in the Sciences, Germany, December 14, 2019-January 25 2020.
2020 Activities
-Visit Prof. Armen Shirikyan at University of Cergy-Pontoise, France, January 1-5, 2020.
List of My Visitors
-Dr. Yuan Gao (The Hong Kong University of Science and Technology), February 3-4, 2018.
-Dr. Dingwen Zhang (Xidian University) and Dr. Jiaojiao Li (Xidian University), September 19, 2018.
-Dr. Qin Zhao (Shanghai Jiao Tong University), April 1-4, 2019.
-Prof. Armen Shirikyan (University of Cergy-Pontoise), May-June, 2020
