MATH 392 - Topics in Abstract Algebra

Credits: 3

Prerequisite: MATH 321. Topics vary but can include field and Galois theory, geometric and combinatorial group theory, representation theory, number theory, algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, advanced linear algebra, algebraic coding theory and cryptography, algebraic topology, homological algebra, and graph theory, May be repeated for degree credit if the topic is different.

Winter 2022, Math 392A-01: Topics in Abstract Algebra: Rings, Fields, and Galois Theory (3).
Prerequisite: MATH 321. Rings, ring homomorphisms, modules, module homomorphisms, Euclidean domains, PIDs, UFDs, field extensions, degree, algebraic numbers, automorphisms, irreducible polynomials, Galois groups, Galois correspondence. Colbert.