Average rating
3.5
15 temporary mock ratings
Difficulty
3.6
course-linked average
Courses
5
in seeded sections
Courses taught
MATH 463
Advanced Algebra I
This course will cover graduate level topics in group theory, ring theory, and module theory. Specific topics include the isomorphism theorems for groups, rings, and modules; group actions; solvable and nilpotent groups; Sylow’s theorems; semi-direct products of groups; ideals; rings of fractions; various unique factorization domains; Hilbert’s Basis Theorem; Gröbner Bases; tensor product of modules and universal property; modules over principal ideal domains; and canonical forms. The course will also include an introduction to category theory as time permits. Cross-list: MATH 563. Mutually Exclusive: Cannot register for MATH 463 if student has credit for MATH 563.
MathematicsNone3 credits
3.610.4hLevin, Brandon
MATH 563
Advanced Algebra I
This course will cover graduate level topics in group theory, ring theory, and module theory. Specific topics include the isomorphism theorems for groups, rings, and modules; group actions; solvable and nilpotent groups; Sylow’s theorems; semi-direct products of groups; ideals; rings of fractions; various unique factorization domains; Hilbert’s Basis Theorem; Gröbner Bases; tensor product of modules and universal property; modules over principal ideal domains; and canonical forms. The course will also include an introduction to category theory as time permits. Cross-list: MATH 463. Mutually Exclusive: Cannot register for MATH 563 if student has credit for MATH 463.
MathematicsNone3 credits
3.29.4hLevin, Brandon
MATH 682
Algebra Seminar
Presentations of research in algebraic geometry and related areas. Repeatable for Credit.
MathematicsNone1 credits
4.17.9hLevin, Brandon, Varilly Alvarado, Anthony
MATH 690
Supervised Reading
Repeatable for Credit.
MathematicsNone1-6 credits
3.45.9hChambers, Gregory, Damanik, David, Fisher, David, Frei, Sarah, Harvey, Shelly, Katz, Nets, Leininger, Christopher, Levin, Brandon, Mantoulidis, Christos, Nelson, Jo, Reid, Alan, Varilly Alvarado, Anthony, Walton, Chelsea
MATH 800
Graduate Thesis And Research
Repeatable for Credit.
MathematicsNone1-15 credits
3.28.9hDamanik, David, Fisher, David, Harvey, Shelly, Leininger, Christopher, Levin, Brandon, Mantoulidis, Christos, Nelson, Jo, Reid, Alan, Varilly Alvarado, Anthony, Walton, Chelsea, Wolf, Michael