TOPICS IN COMBINATORICS

MATH 846

Course Description

Topics in algebraic combinatorics such as (but not limited to) association schemes, hypergeometric series, classical orthogonal polynomials, codes, lattices, invariant theory, alternating sign matrices and domino tilings, statistical mechanical models, 6j-symbols, buildings and diagram geometries, matroids.

Prerequisties

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

Not Reported

Offered

Not Reported

Grade Point Average

No change from Historical

Completion Rate

100%

No change from Historical

A Rate

100%

No change from Historical

Class Size

14.04% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

Similar Courses

ADVANCED TOPICS IN NUMBER THEORY

MATH 848

This is an advanced graduate topic course in number theory. Topics will vary. Target audience: Advanced graduate students in number theory, representation theory, and algebraic geometry.

REPRESENTATION THEORY

MATH 843

Introduction to the representation theory of Lie groups and their combinatorics. Universal enveloping algebras, highest weight modules, induction, restriction, weights, characters, multiplicity formulas, tensor products, Shapovalov forms, filtrations, Kazhdan-Zetlin patterns, Littelmann paths.

ENUMERATIVE COMBINATORICS/SYMMETRIC FUNCTIONS

MATH 740

Inclusion-exclusion principle, permutation statistics, sieve methods, unimodal sequences, posets, lattice theory, Mobius functions, generating functions, bases and transition matrices for symmetric functions, Young tableaux, plane partitions, polytopes, poset homology, Stanley-Reisner rings.

SEMINAR-ALGEBRA

MATH 941

Selected topics in Algebra.

TOPICS IN ALGEBRA

MATH 847

Topics may include: Lie groups, algebraic groups, Chevalley groups, simple groups and associated geometries, group cohomology, group rings, Hopf algebras, enveloping algebras, quantum groups, infinite-dimensional Lie algebras, Hecke algebras, automorphic forms, Galois representations, zeta and L-functions, abelian varieties.