Research in Mathematics 2017

Random Matrices

Complementing the highly structured Graduate Summer School, which is directed at younger mathematicians, the Research Program in Mathematics addresses the needs of mathematicians who are already carrying out research. The program offers advanced scholars the opportunity to do research, collaborate with their peers, meet outstanding students, and explore new teaching ideas with professional educators. It is designed to introduce active areas of research by focusing on a specific topic. The informal format generates lively exchanges of views and information between established and newer researchers.

The 27th Annual PCMI Summer Session will be held June 25 – July 15, 2017.

Click HERE to apply to the Research Program.


2017 Organizers: Alexei Borodin, MIT; Ivan Corwin, Columbia University; and Alice Guionnet, CNRS-ENS Lyon

Some lectures on these topics will be accessible to advanced graduate students and postdocs, while others will be intended for more specialized working groups.

A primary goal of the research program is to foster the collaboration of a diverse group of participants. Regular seminars will be held giving the Research Program participants an opportunity to give a seminar if they choose. (The organizers will draw up a schedule in consultation with the participants.) There will be plenty of time for work and informal discussions.

Random matrix theory sits at the interface of many fields of mathematics such as probability, combinatorics, partial differential equations, algebraic geometry, and number theory. It also has many applications in physics (statistical mechanics, quantum mechanics, nuclear physics), as well as practical applications in areas of computer science, statistics, and data science. This research program will bring together a diverse group of researchers united by their study and use of random matrix theory. This will naturally lead to exchanges in ideas and methods between different areas of science and mathematics, and will kickstart new interdisciplinary collaborations.

New and recent PhD’s are especially encouraged to apply if they are working on random matrix theory.

 

Independent Researchers

Researchers in other areas of mathematics who have independent funding are invited to apply for participation in the PCMI Summer Session. All programs and facilities will be available to these participants, although lodging space may be limited. Introductory courses and joint education/research activities may be of particular interest. Researchers interested in becoming involved with a future Summer Session may wish to use this opportunity to get acquainted with the program. Small groups of collaborators from geographically separate areas are particularly welcome to apply.