We will introduce the mathematical passage from quantum mechanics, to classical mechanics, to kinetic theory and then to continuum mechanics. These are central topics in partial differential equations, mathematical physics, and multiscale modelling and computation. Some of the mathematical and physical ideas are also useful in data sciences, machine learning, and uncertainty quantification.

Prof. Shi Jin received his B.S. from Peking University, and his Ph.D. from University of Arizona. He has been a postdoc at Courant Institute, New York University, an Assistant and Associate Professor at Georgia Institute of Technology, Professor, Department Chair, and Vilas Distinguished Achievement Professor at University of Wisconsin-Madison, Chair Professor, Chair of Department of Mathematics, and Director of Institute of Natural Sciences, Shanghai Jiao Tong University.

Among the honors he received include the Feng Kang Prize in Scientific Computing, Morningside Silver Medal at International Congress of Chinese Mathematicians, inaugural Fellow of the American Mathematical Society (AMS), Fellow of Society of Industrial and Applied Mathematics (SIAM), and invited lecture at International Congress of Mathematicians in 2018.