The Division of Financial Mathematics and Control Science was set up in 2004, which used to be the teaching and research office of Control Science in the department of Mathematics. Now there are altogether 10 teachers, including 4 professors, 2 vice professors and 4 lecturers. There are two Cheung Kong Scholar Chair Professors, as well as two winners of National Science Fund for Distinguished Young Scholars.
Our division is joint with the division of Information and Computing Science in recruiting undergraduates of Information and Computing Science. Collaboratively we cultivate students with good talents for mathematics, grasp of basic theory and method of information and computing science, primary trainings for scientific research, as well as the ability to resolve practical problems with learned knowledge. All in all, we aim to make them top talented people of specialty in the departments of science, education and economy, engaged in research, teaching, applied development and management.
Our division also recruits master graduates, doctoral graduates and post doctorates majoring in Operations Research and Control Theory. Operations Research and Control Theory in Fudan University is a national key discipline, with three doctoral dissertations assessed as National Excellent Doctoral Dissertation. Our major research achievements have won National Natural Science Award (forth class) and Shanghai Prize for Progres in Science and Technology (first class), and have published several academic monographs as well as collections of essays from international conferences. We have made a series of very international influential researches in the fields of distribution parameter control theory and its application, stochastic control theory, financial mathematics, etc. Thus we have developed made renown scholars active both home and abroad. At present our research interests include stochastic control theory and application, financial mathematics, distribution parameter control theory and its application and application, Operations Research, etc.
Research specialty and Faculty
Division Head: ZHANG Qi (professor)
Deputy head of division: XU Yashan(associate professor)
Stochastic control theory and its application
Stochastic control theory is an important component of automatic control theory. Based on the mathematical theory of probability theory, mathematical statistics, random analysis and partial differential equations, our division study many problems such as the establishment, analysis and optimal control of a large number of uncertain systems, which widely occur in various disciplines and areas such as economy, finance, management, biology, mechanics, physics, chemistry and engineering.
In the graduate course, the theory of random control is set up to teach the basic theory of stochastic optimal control system described by random differential equations, especially random linear two times optimal control, random maximum principle and random dynamic programming. Graduates are required to complete graduate courses control theory basis and optimal control theory, through which to grasp the basic knowledge of stochastic process, stochastic integral and stochastic differential equations.
Financial Mathematics
On the basis of probability theory, mathematical statistics, random analysis, partial differential equation theory and stochastic control theory, the core problems of modern financial theory and practice are studied, such as the establishment of financial market, asset management and allocation, risk management, analysis of derivative products, design pricing and so on.
Mathematics finance is set up in both undergraduate and postgraduate courses to introduce the basic theory of asset management and derivative pricing in discrete and continuous time financial markets. The graduate course mathematics finance also requires the students to possess the basic knowledge of random process, random integral and stochastic differential equation. Students who have learned the basic of control theory, the theory of optimal control and the theory of random control in advance are preferable.
Distribution parameter control theory and its application
We study the optimal control problem and the general theory of infinite dimensional systems, described by partial differential equations or semi-groups, which widely occur in natural sciences, such as physical, mechanical, biological, as well as in engineering techniques.
The graduate course includes the “optimal control theory of infinite dimensional system”, which introduces the optimal control problem and the general theory of infinite dimensional systems described by partial differential equations or semi-groups, and requires students to have learned the theory of semi groups and the general theory of partial differential equations.
Operations research
On the basis of probability theory, mathematical statistics, random analysis and functional analysis, the problems of operational research, such as stochastic programming in the fields of production, economic management, finance and military, are studied.
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