TOPICS IN COMBINATORICS

Name: TOPICS IN COMBINATORICS
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MATH 846

과목 설명

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.

선수과목

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

충족 요건

This course does not satisfy any prerequisites.

학점

미보고

개설 시기

미보고

평점

과거 데이터 대비 변화 없음

수료율

100%

과거 데이터 대비 변화 없음

A 비율

100%

과거 데이터 대비 변화 없음

학급 규모

14.04% 과거 데이터 대비

Cumulative Grade Distribution

강사 (2026 Summr)

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유사 과목

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.

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.

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.

SEMINAR-ALGEBRA

MATH 941

Selected topics in Algebra.

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.