School profile, Shanghai Normal University.
Shanghai Normal University is a comprehensive university with the coordinated development of arts and crafts. It is good at arts and has the characteristics of normal education. The school has entered the ranks of universities supported by the comprehensive education reform department of Shanghai, and is a pilot unit for the construction of high-level local universities (disciplines) in Shanghai.
The school has a complete range of disciplines and fruitful teaching results. At present, there are 10 disciplines such as philosophy, economics, law, education, literature, history, science, engineering, management, agriculture and art, 9 first-class doctoral programs, 9 postdoctoral mobile stations, 32 first-class master programs, and 18 professional degree categories. The school has 1 national key disciplines; 1 1 Shanghai Key Discipline; 1 1 discipline entered the discipline of Gao Feng Plateau; Ministry of Education and Shanghai Undergraduate Major Comprehensive Reform Pilot Major1; Four characteristic specialty construction points in the institutions of higher learning of the Ministry of Education: three reform projects of the "Excellent Teacher Training Program" of the Ministry of Education: 1 National New Engineering Research and Practice Project; Eight pilot professional construction projects of applied undergraduate courses in Shanghai municipal universities; 18 Shanghai undergraduate education highland construction project. Five subjects entered 1% subjects before ESI. There are nearly 9000 graduate students in the school.
The school attaches great importance to international education and has extensive exchanges and cooperation with foreign countries. It is listed as a scholarship institution for international students in China and a preparatory base for foreign students in Shanghai. The school has established exchanges and cooperation with nearly 400 universities and organizations in more than 40 countries and regions on six continents.
2, "Applied Mathematics" discipline, professional introduction (tutor, research direction and characteristics, academic status, research results, research projects, curriculum, employment, etc. ):
The applied mathematics major 1986 began to recruit master students and doctoral students on 20 10. Professor 1 1 person, 8 associate professors. Outstanding achievements have been made in postgraduate training and scientific research. Many teachers have won important awards and titles from the Ministry of Education and Shanghai, and have been funded by national general projects and Shanghai talent projects for many years. At present, it is one of the second-class discipline of peak plateau construction 13 in Shanghai universities.
Applying mathematics to cultivate graduate students with solid mathematical foundation and outstanding innovation ability requires students to master the basic theory of this discipline and the basic knowledge of related disciplines, have strong self-study ability, and track the development trend of this discipline in time; Have a solid basic knowledge of English, be fluent in reading professional documents, and have good comprehensive skills in listening, speaking, writing and translation.
The main study contents of applied mathematics specialty are: functional analysis, algebra, mathematical physical equations, topology, numerical analysis, nonlinear functional analysis, ordinary differential equation theory, partial differential equation, dynamic system, biomathematics, biostatistics, professional English and other courses; In addition, I will also participate in publishing academic papers, writing graduation papers and other practical links. Excellent candidates for postgraduate entrance examination have the opportunity to be recommended to foreign famous schools for joint training. The employment rate of graduates is extremely high. In addition to continuing to study for a doctorate, he is also widely employed in basic education schools in Shanghai, as well as in computer science, information technology, economy and other fields.
Research direction and tutor:
Ordinary differential equations and dynamical systems: Professor Han Maoan, Professor Chu Jifeng, Professor Zhou Peng, Associate Professor Xing, Associate Professor He, Associate Professor Yu Zhixian and Associate Professor Liao Fangfang.
Stochastic differential equations and stochastic dynamic systems: Professor Jiang and Associate Professor Lv Xiang.
Partial differential equations: Professor Lou, Professor Wang Rongnian, Professor Qu Aifang, Professor Wang Jing, Associate Professor.
Biomathematics: Professor Gao Daozhou, Professor Jiang, Professor Lou, Professor.
Nonlinear functional analysis: Professor Wang Rongnian
Complex Network and Control: Professor Ding Wei.
Machine learning: Associate Professor Peng Xinjun
Tutor profile (in alphabetical order of title and surname):
Professor Chu Jifeng, Ph.D.: He has been devoted to the research of ordinary differential equations, dynamic systems and their applications, and has achieved very important research results in three aspects: the motion stability of low-degree-of-freedom conservative systems, the basic dynamics of linear systems and their applications, and ocean fluid dynamics. He was selected as the "Outstanding Talents Support Program in the New Century" of the Ministry of Education, the fourth "333 High-level Talents Training Project" of Jiangsu Province and "Humboldt Scholar of Germany", and won the "Fok Ying Tung Young University Teacher Award" of the Ministry of Education on October 4th and the "Shandong Natural Science Second Prize" on October 9th. He presided over the Youth Project of National Natural Science Foundation 1, 2 general projects of National Natural Science Foundation, and participated in 3 general projects of National Natural Science Foundation. The recent work mainly involves modifying the spectral theory of Camassa-Holm equation and the dynamic characteristics of ocean water waves. Relevant achievements have been published in authoritative journals of mathematics and applied mathematics, such as Journal of Differential Equations, Discrete and Continuous Dynamical Systems, Journal of Mathematical Fluid Dynamics and Li Anna Journal of Applied Mathematics.
Professor Ding Wei: The main research contents are the boundary value problems of differential equations (including impulsive differential equations, functional differential equations and differential equations on the measure chain), and the existence and stability of periodic solutions in biological mathematical models. At present, some research results with important academic value have been achieved, and a set of relatively complete theories and methods have been established. The main research papers are published in J. Math. Application analysis. , applied mathematics. Compare. ，J. Comp。 mathmatics The application of Ritter physics. A and other publications. As the person in charge, he presided over the key project 1 of the Ministry of Education, the project 1 of the Shanghai Municipal Education Commission, the school-level project 1, and participated in many projects such as the National Natural Science Foundation of China and the Shanghai Excellent Academic Leaders Program.
Professor Gao Daozhou: His main research fields are biomathematics, including mathematical epidemiology, population ecology and differential equations. Representative research topics include: the influence of population mobility and behavior changes on the spread of infectious diseases; The spread and control of sudden infectious diseases; Optimization of treatment scheme for infectious diseases; The tragedy of the commons in the use of antibiotics, and so on. The main research paper was published in Siam J. APPL. Math. J. math biology , continue. Amir. mathmatics SOC。 ，Am。 J. Trop. Medicine. Hyg。 ，Sci。 Congressman, bull. mathmatics biology ，Theor。 Popular. biology Among them, using mathematical models to study the influence of sex transmission on the spread and control of Zika virus and the epidemic situation of major infectious diseases, including COVID-19 and yellow fever, has attracted many special reports from foreign media and extensive attention and quotations from peers. He was a member of the editorial board of Math Biosci Eng, a SCI magazine, and a reviewer of more than 30 international magazines. He was invited and fully funded to attend the expert review meeting of the World Health Organization. He has presided over the talent project of distinguished professor (Oriental Scholars) and the youth project of National Natural Science Foundation.
Professor Han Maoan, Ph.D.: His main research fields are qualitative theory of ordinary differential equations, bifurcation theory of dynamic systems, boundary value problems of ordinary differential equations and delay differential equations, periodic solutions of singularly perturbed systems and geometric methods. A series of research results with important academic value have been obtained in the existence and number of limit cycles in high-dimensional systems, Hopf bifurcation, Poincare bifurcation, homoclinic bifurcation, subharmonic and invariant torus bifurcation, local and nonlocal bifurcation of periodic solutions, and general theories and methods with complete system and outstanding characteristics have been established. The main research paper is published in J. differential equations. , intern. Bifurcation and chaos. Power Systems, China Science and other publications. As the person in charge, he presided over five national natural science foundation projects, successively presided over Shanghai Shuguang project, Shanghai Shuguang tracking project and Shanghai outstanding academic leader project, and was selected into the 2004 new century outstanding talent training plan of the Ministry of Education; Six research achievements won provincial and ministerial level scientific and technological progress awards, among which the research achievements "Global Theory and Application of Nonlinear Dynamical System" and "Research on Nonlinear System Dynamics" completed by the first person won the first prize of scientific and technological progress of the Ministry of Education in 2002 and the second prize of Shanghai Natural Science Award in 2006 respectively. In 2007, he won the Shanghai Education Talent Award.
Professor Jiang, Ph.D.: Research fields include stochastic differential equations and stochastic dynamic systems, monotonic dynamic systems (including parabolic partial differential equations/ordinary differential equations/functional (partial) differential equations and extreme value principles and their long-term dynamic behaviors), competitive dynamic systems, bifurcation theory of dynamic systems, and biomathematics. The main academic contributions are as follows: the necessary and sufficient conditions for the global stability of the equilibrium point of monotone dynamic systems are given, and the results and methods are widely cited by scholars in mathematics, biology, ecology and control; The limit set of oblique product monotone semiflow and the method of underflow topological yoke are established. (cooperation) solved Smith's public problem about uniqueness and smoothness of load simplex of competitive mapping; (Cooperation) It is proved that when the noise intensity tends to zero, the limit measure of the invariant measure of stochastic evolution system is supported by the Birkhoff center and centralized accuracy of the corresponding deterministic dynamic system. The main work was published in J. Reinange W. Math. J. math PureAppl。 , Siam J. Mathematics. Anal. Siam applied mathematics. ，Siam J. Control。 Optim。 Siam J. Appl. Dyn。 System. ，Trans。 Amir. mathmatics In the early 1990s, he began to take charge of the general projects of the National Natural Science Foundation (participating in two key projects). As the first finisher, he won the second prize at the provincial and ministerial level twice, and 1992 was rated as a young and middle-aged expert with outstanding contributions by the Ministry of Personnel, enjoying the special government allowance of the State Council. Among the graduate students, many national talent programs, such as the National Fund for Distinguished Young Scholars, were awarded "National 100 Excellent Doctoral Thesis", 1 doctor won the excellent doctoral thesis of China Academy of Sciences, 1 doctor won the Zhong Jiaqing Award in chinese mathematical society, 1 doctor and 1 master won the excellent academic achievements in Shanghai. Professor Jiang won the National Excellent Doctoral Dissertation Instructor Award, and was awarded the title of "Excellent Postgraduate Tutor" by China Academy of Sciences for three consecutive years from 2004 to 2006.
Professor Lou, doctoral supervisor: research direction is qualitative theory of parabolic equations. In recent years, we mainly pay attention to the propagation phenomenon in nonlinear diffusion problems. The main academic contributions are as follows: he participated in the establishment of the free boundary propagation theory of reaction-diffusion equation, which led hundreds of colleagues at home and abroad to set off a research upsurge; Together with the famous mathematician Professor H.Matano, the regression traveling wave solution is proposed and studied. The non-planar traveling wave problem in non-uniform space is proposed and studied. By studying the relationship between waveform and wave velocity, Bernstein's theorem and Degeorge's conjecture in non-uniform space are put forward. The research results are published in journals such as J.Euro.Math.SOC, Ann.Inst.H. Poincare-Na, Siam J.Math.Anal, Commu, etc. Partial differential equation, functional analysis. , J. differential equations, etc. It has been quoted many times by L.A.Caffarelli (Wolf Prize winner) and H.Berestycki of the American Academy of Sciences. He presided over 3 projects of National Natural Science Foundation, and directed 2 postdoctoral fellows, 6 doctors and more than 0 masters/kloc-0.
Professor Qu Aifang, Ph.D.: Mainly engaged in the research of nonlinear hyperbolic conservation laws. Studying the hyperbolic conservation law represented by Euler equation derived from mass conservation, momentum conservation and energy conservation can not only help us understand and explain some physical phenomena and mechanical laws, but also produce new research methods and theories with the solution of problems. Professor Qu Aifang systematically studied the existence of weak solutions to the initial value problem and initial-boundary value problem of Euler equation in high dimensions, and in recent two years, he also made some original research on the theory of Radon measure solution of Euler equation in high-dimensional acoustic flow. The main results were published in arch. Reason. Mecha warrior. Anal. , Siam J. Mathematics. Anal. , J. Differential Equation, J.Math.Phy, etc. As the person in charge, he presided over the general fund 1 item, youth fund 1 item and Tianyuan fund 1 item of the National Natural Science Foundation.
Professor Wang Jing: The main research content is the boundary layer theory in fluid mechanics and the stability of basic waves. By using asymptotic analysis method and weighted energy estimation method, the characteristics and stability of the non-characteristic boundary layer of several kinds of fluid mechanics equations, such as quasilinear equation, Navier-Stokes equation and MHD equation, are studied, and the estimation of convergence order is established. By constructing appropriate approximate solutions, the stability of fundamental waves in a series of radiation hydrodynamic models is discussed. These research results were published in Siam J.Math. Anal. Differential equation, CD. Continuous dynamic system, mathematics. Methods Journal of Applied Science. Roy Soc. Edinburgh Sect. A and other publications. He has successively presided over Tianyuan Fund of National Natural Science Foundation, general projects of National Natural Science Foundation, youth fund projects, doctoral new teacher fund of Ministry of Education, and innovative projects of Shanghai Education Commission, and was funded by Shanghai Pujiang Talent Plan.
Professor Wang Rongnian, Ph.D.: Mainly engaged in well-posed nonlinear evolution equations, topological regularity of multivalued perturbations and solution sets, invariant manifold theory of dynamic systems, etc. The completed research results have been published in academic journals such as Mathematics. Annalen, Journal of Functional Analysis, Journal of Differential Equations, J.Phys.A:Math.Theo presided over 2 general projects of the National Natural Science Foundation, 4 provincial natural science foundation projects and 2 provincial education department fund projects. In recent years, he has taught graduate students courses such as functional analysis, multivalued analysis, partial differential equations, operator semigroups and evolution equations, Sobolev space, and geometric theory of parabolic equations.
Professor Zhou Peng: Mainly engaged in scientific research in the fields of differential equations, dynamical systems and biomathematics. A series of important research results have been obtained on non-self-adjoint competitive systems and free boundary problems. The main academic contributions include: (1) developing a new method for one-dimensional spatial diffusion-convection-competition system, which can solve the challenging problem in the study of monotone dynamic systems-the nonexistence of internal positive solutions; (2) For high-dimensional systems, the methods and skills of dealing with non-self-adjoint operators are developed, and the complete classification of global dynamics of the system is given. The main research results are published in J.Math. Puresappl。 , J. function Anal. , calculate. Var。 Partial differential equations, differential equations and other journals. 20 17 was selected as distinguished professor (Oriental Scholar) of Shanghai University. At present, he is responsible for the youth project of the National Natural Science Foundation of China.
Professor Zheng Xiaoqi, doctoral supervisor: mainly engaged in statistical learning theory and its application in biostatistics, and achieved innovative research results around tumor purity estimation based on DNA methylation data, differential methylation analysis of purity, tumor sample clustering and other issues. The main academic contributions are as follows: A method for estimating the purity of tumor cells based on sulfite sequencing data (BS-seq) was developed. Methyl Purify developed a method for tumor purity and differential methylation based on 450k chip data. A two-layer network model for predicting the sensitivity of anticancer drugs is proposed. Many research papers have been published in the most influential journals in this field, including two genomebiols, one from P.Natl.Acad.Sci.USA, two from bioinformatics and one from PLoS Comput. Biol et al. As the person in charge, he presided over the general projects of the National Natural Science Foundation, the youth projects and the innovation projects of the Shanghai Education Commission.
Associate Professor He: Mainly engaged in the research of smooth ergodic theory and differential dynamic system. At present, relatively effective processing methods are summarized for irreversible systems, and topological entropy continuity of one-dimensional systems is realized. The main results are published in Dynamics of Ergodic Theory. Journal of systems, discrete dynamic systems, nonlinearity and others. As the person in charge, he presided over a national youth project and a national postdoctoral fund.
Associate Professor Peng Xinjun: His main research interests are data mining, machine learning and pattern recognition. In recent years, IEEE Neural Network Transactions &; Learning System, Pattern Recognition, Neural Network, Information Science and Neurocomputing have published more than 50 papers.
Associate Professor Li Fang: Mainly engaged in qualitative theory of parabolic equation and scientific research in the field of dynamic system. In recent years, the main research results are as follows: The long-term behavior of a class of space-time inhomogeneous equations/systems, especially the characteristics of traveling wave solutions and the propagation speed of solutions, is studied by using the method of non-autonomous dynamic systems, and some meaningful results are obtained. The main results are published in J. Differential Equation and other journals. , Discrete Contin.Dyn.Syst., Proc.Amer.Math.Soc. as the leaders, he presided over a youth project of the National Natural Science Foundation of China and a postdoctoral science fund project of China.
Associate Professor Liao Fangfang: He is engaged in the research of ordinary differential equations and their applications, and has achieved some meaningful research results in the fields of "existence of periodic solutions of differential equations", "non-uniform dichotomy and its non-uniform dynamic spectrum". He was selected as the training object of "Blue Project" in Jiangsu Province, presided over the National Natural Science Foundation Youth Project 1, and participated in the National Natural Science Foundation Regional Project 1. Relevant scientific research results are published in journals such as Nonlinear Analysis. Real world applications. PureApp。 Anal. Bull. Science. Mathematics. Electronics. Differential equation, appendix. mathmatics Ritter.
Associate Professor Lv Xiang: His main research fields are stochastic dynamic systems and stochastic differential equations, critical point theory and its application in Hamiltonian systems, and biomathematics. The main research results in recent years are as follows: the existence and stability of stationary solutions of stochastic dynamic systems are systematically studied, and the existence of homoclinic orbits of several kinds of nonlinear Hamilton systems is discussed. The main results were published in Siam J. Control Optim. , nonlinear analysis. And other publications. Now, as the person in charge, he is responsible for the general project 1 of the National Natural Science Foundation of China and the project 1 of the Shanghai Natural Science Foundation, completed the youth project 1 of the National Natural Science Foundation of China, and was selected into the "Sailing Plan" of young scientific and technological talents in Shanghai and the "Morning Light Plan" of the Shanghai Education Commission.
Associate Professor Tian Yun: His main research fields are qualitative theory of ordinary differential equations, biological mathematics and symbolic calculation. His research on the number of limit cycles generated by Hopf branches, standardized fast symbolic calculation and epidemic model has made some important achievements, which were published in J. Differential Equations, Internet. J. Diverse and Chaos, Proc. Royal Football. a、Commun。 Nonlinear Sci. Number. Sim. Now he is the head of the National Natural Science Foundation's Youth Project and the Shanghai Young Oriental Scholars Project.
Associate Professor Xing: His research interests involve discontinuous dynamic systems, nonlinear analysis and biomathematics, and he mainly studies periodic solutions and bifurcation theory. At present, some research results with important academic value have been achieved, and a set of relatively complete theories and methods have been established. The main research papers are published in J. Math. Application analysis. , nonlinear analysis. Applied mathematics. Compare. And other publications. As the person in charge, he presided over the Shanghai Natural Science Foundation project, the Shanghai Education Commission's scientific and technological innovation project, the school-level project, and participated in the National Natural Science Foundation project, the Shanghai Excellent Academic Leaders Program and many other projects.
Associate Professor Yu Zhixian: He mainly studies the traveling wave solution theory, stability and global solution of nonlinear evolution equations, including functional differential equations, infinite dimensional lattice subsystems and partial differential equations (including population model, infectious disease model, infinite dimensional cellular neural network model, etc. ). As the person in charge, he presided over the National Natural Project 1 (Supporting Youth), the Shanghai General Natural Fund Project 1, the Shanghai Education Commission's Outstanding Young Teachers Project 1, and the Shanghai Education Commission's Innovative Project 1. His main work was published in academic journals such as Nonlinear, J. Differential Equation, Euro.J.Appl.Math, Z.Angew.Math.Phy, Discrete Contin.Dyn.Syst, etc., and he was awarded the title of "Zhiyuan Scholar" by Shanghai University of Science and Technology. Won the "first prize" in the teaching competition of Shanghai University of Science and Technology; He has instructed graduate students to win the "Second Prize" in China Graduate Electronic Design Competition. Instruct 8 graduate students (graduated) and doctoral students 1 person (graduated).
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