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The program will expose students to rigorous mathematics proofs and provide an overview of several different central areas of mathematics, both pure and applied, building from simpler notions toward a glimpse of current research. In this program, students will be able to meet and learn from the world-class senior and junior mathematicians, and to study how to write rigorous proofs. The areas covered include pure mathematics like set theory, fractal geometry, probability, differential equations with applications to fluid dynamics and mathematical biology. Students will also get a chance to work in groups with mentors, to develop their mathematical abilities.
Learn from top mathematicians;
Focus on deep, rigorous reasoning;
Hands-on, collaborative learning;
Research mentorship with instructors from top universities;
Bridges a key educational gap.
Dr. Xu has a B.Sc. in mathematics (honors) from Zhejiang University and a Ph.D. in mathematics from the University of Wisconsin, Madison. From 2016 to 2019, he held postdoctoral research positions at Carnegie Mellon University and the Institute for Computational and Experimental Research in Mathematics, Brown University.
Dr. Xu’s research interests are mathematical modeling of mixing in fluids, investigating the properties of solutions to some types of fluid mechanics equations and studying the time-fractional differential equations. He mainly teaches mathematical foundation courses and advanced courses in analysis at DKU.
Dr. Kiselev received his PhD from Caltech in 1997. He held faculty positions at University of Chicago, University of Wisconsin-Madison and Rice University. Since 2017, Dr. Kiselev is a William T. Laprade Professor of Mathematics at Duke University. Dr. Kiselev’s research interests include fluid mechanics and mathematical biology. He received numerous awards for his research, including Sloan Fellowship, Guggenheim Fellowship, Simons Fellowship, and invited lectures at the International Congress of Mathematicians. Dr. Kiselev teaches courses in analysis and differential equations, and has won teaching awards for his rigorous analysis course for undergraduates.
Dr. Huang holds a B.Sc. (Honors) in Mathematics from Shanghai Jiao Tong University and a Ph.D. in Mathematics from Duke University. He is currently a Research Associate at Imperial College London.
Dr. Huang’s research focuses on the mathematical analysis of models arising from fluid mechanics, particularly on understanding the structure and dynamics of steady and unsteady flows governed by the incompressible Euler equations.
Email: DKU-GSI@dukekunshan.edu.cn
