My primary area of expertise is high dimensional probability. I am interested in fundamental, theoretical problems as well as applications of probability to data science. Check out my research snapshots .
For a non-technical example my research, take a look at these slides about my work on complex networks. For a deeper dive, check out my textbook on high-dimensional probability. Not ready to read a 300+ book? Here is a much shorter version of it, talking you on a walk through some modern probabilistic methods and their application for data science. This survey explains relationships between high-dimensional probability, high-dimensional geometry and high-dimensional inference, and this tutorial connects these areas to random matrix theory. If you are ready to explore acrtual research papers, take a peek at my publications.
If you are thinking of becoming my student or postdoc, take a look at the work of my past and present mentees.
If you are already in Ann Arbor, Michigan, visit one of Analysis & Probability seminars. I am co-organizing the traditional seminar with one-hour talks, often given by visitors, and the learning seminar with two-hour educational lectures. Here you will find a list of all seminars in the Mathematics Department.