I believe that the only way to learn mathematics is to do mathematics; and the amount and level of difficulty of the problems
given to students determine the effectiveness of their practice. A careful assignment of homework is an essential part of my design of the framework in which
learning can take place most effectively. As my students, you are expected to finish all the assignments, which often include a reasonable amount of
Math 310 Differential Equations
Math 404 Mathematics of Deep Learning
My main research interest lies at the interface between Analysis and Probability.
In Analysis, my research interest is mainly in the geometric aspects and approximation properties of Banach spaces;
in Probability, my interest is mostly in probability estimate of rare events of random processes. I typically use analytical
methods to study probability problems, and use probabilistic methods to tackle problems in Analysis.
I am also interested in applications
of theoretical results, especially in statistics and optimization, and have invested some effort on interdisciplinary research.
Here are some of my Recent Publications