Summer Graduate School
The Graduate Summer School bridges the gap between a general graduate education in mathematics and the specific preparation necessary to do research on problems of current interest. In general, these students will have completed their first year of graduate school, and in some cases, may already be working on a thesis. While a majority of the participants will be graduate students, some postdoctoral scholars and researchers may also be interested in attending.
The main activity of the Graduate Summer School will be a set of intensive short courses offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These short courses will not duplicate standard courses available elsewhere. Each course will consist of lectures with problem sessions. Course assistants will be available for each lecture series. The participants of the Graduate Summer School meet three times each day for lectures, with one or two problem sessions scheduled each day as well.
Harmonic analysis is a central field of mathematics with a number of applications to geometry, partial differential equations, probability, and number theory, as well as physics, biology, and engineering. The Graduate Summer School will feature mini-courses in geometric measure theory, homogenization, localization, free boundary problems, and partial differential equations as they apply to questions in or draw techniques from harmonic analysis. The goal of the program is to bring together students and researchers at all levels interested in these areas to share exciting recent developments in these subjects, stimulate further interactions, and inspire the new generation to pursue research in harmonic analysis and its applications.
Student preparation: We seek motivated students interested in the mathematical aspects of harmonic analysis and related fields. Though familiarity with some of the topics listed above would be helpful, the formal prerequisites are a graduate-level course in real analysis as well as a comfort with advanced linear algebra. Additional prerequisites for individual courses are listed below with the course descriptions and include: geometric measure theory, partial differential equations, and probability theory.