Instructor. Leonid Petrov. Contact information is at
The class meets on Tuesdays and Thursdays at 9:30-10:45 in Kerchof 128.
Office hours TBA. Office is Kerchof 209
Description. Study of random matrices is an exciting topic with first major advances in the mid-20th century in connection with statistical (quantum) physics. Since then it found numerous connections to algebra, geometry, combinatorics, as well as to the core of the probability theory. The applications are also numerous: e.g., statistics, number theory, engineering, neuroscience; with more of them discovered every month. The course will discuss fundamental problems and results of Random Matrix Theory, and their connections to tools of algebra and combinatorics.
Course homepage. The course homepage is at
https://lpetrov.cc/rmt19/. It contains
the syllabus, link to course notes, and other relevant information.
Structure. The course discusses:
References. There are several textbooks which I will consult while teaching the course. It is not required to buy any of them to successfully participate in the course.
Course notes will be posted on this website, and updated regularly.
Direct download link is
Grading. The course grade is based on homework and class engagement (your participation in in-class discussions; asking questions in class and at office hours; volunteering to type up homework solutions; possibly volunteering to give short expository talks detailing an aspect in the course; etc). There is no midterm or final exam.
The homework will be assigned in the course notes (look for bright green pencil sings). The deadline for each problem is 2.5 or 3 weeks, which means:
Level of homework problems ranges from easy to very difficult. It is understood that you won’t turn in all problems all the time, but putting an adequate effort into solving homework problems and communicating your solutions clearly is of paramount importance for your learning.
Homework can be submitted either by email (scan or typeset, and send; this is the preferred method); or turned in in class (in which case please still scan the homework to keep a copy).
Required official statement. All students with special needs requiring accommodations should present the appropriate paperwork from the Student Disability Access Center (SDAC). It is the student’s responsibility to present this paperwork in a timely fashion and follow up with the instructor about the accommodations being offered. Accommodations for test-taking (e.g., extended time) should be arranged at least 5 business days before an exam.