Vladimir Chernousov
Professor, Faculty of Science - Mathematics & Statistical Sciences
Contact
Professor, Faculty of Science - Mathematics & Statistical Sciences
- vladimir@ualberta.ca
Overview
Research
Areas
Algebraic Groups & Galois Cohomology
Courses
MATH 326 - Rings and Modules
Rings, fields, polynomials, algebras. Homomorphisms, ideals, quotients. Ring extensions, field extensions, construction of finite fields. Integral domains: Euclidean, principal ideal, unique factorization. Chain conditions. Introduction to modules. Modules over a principal ideal domain, finitely generated abelian groups, matrix canonical forms. Prerequisite MATH 227, or both MATH 225 and 228.
MATH 422 - Coding Theory
Elements of group theory, cosets, Lagrange's theorem, binary group codes, polynomials, finite field theory, error correcting codes. Prerequisites: either (1) MATH 227 or (2) MATH 228 and a 300-level MATH course.