← Theoretical / proof-based

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In this program

Combinatorial Nullstellensatz
Polynomial method
Matroids: definitions, bases, and duality
Symmetric functions
Young tableaux (introduction)
Incidence algebras and Möbius functions
Lattice paths and binomial identities

Algebraic and geometric combinatorics

Matroids: definitions, bases, and duality

Combinatorics · Theoretical / proof-based

Topic

Matroids: definitions, bases, and duality

Practice by unit: Algebraic and geometric combinatorics

Graduate Combinatorics — scope drawn from open graduate combinatorics notes and typical US graduate combinatorics syllabi.

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