Course Number : CS 711
(Official) Title : Topics in Computational Ring Theory and Algebras
Instructor : Mrinal Kumar
Email : first name AT cse DOT iitb DOT ac DOT in
Official class timing : Tue/Fri 5:30 pm to 6:55 pm
Office hours : Tue/Fri 5:30 pm to 6:55 pm
Grades will be based on problem sets (once every few weeks) and possibly a course project or an (at home) exam. We will figure out the precise details as we go along.
Mathematical maturity, familiarity with the contents of a typical undergrad Discrete Math and Algorithms Class.
This is a theory course, so you should be comfortable around mathematical statements and proofs. You are NOT expected to have a background in advanced algebra for this class and the course will be self contained for the most part. The course is open to third and later year undegrads and masters and PhD students. If you aren't from one of these sets and would like to attend, feel free to drop me an email.
As the name suggests, the course will focus on the relationship between algebra and computation. A large part of the course will focus on computational problems in algebra. Towards the end, we will also discuss some upper and lower bounds in algebraic complexity theory.
A tentative list of topics can be found here.