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MATH 6410

Enumerative Combinatorics

3.0 credits · Graduate

An introduction to enumerative combinatorics from an algebraic, geometric and topological point of view. Topics include, but are not limited to, permutation statistics, partitions, generating functions and combinatorial species, various types of posets and lattices (distributive, geometric, and Eulerian), Mobius inversion, face numbers, shellability, and relations to the Stanley-Reisner ring.

fall 2026

Readings

  • (optional) Aigner, Martin, A Course in Enumeration , Springer, 2007 (ISBN: 978-3-540-39032-9) — free e-book through the Cornell Math Library
    Listed textbook
  • (optional) Van Lint and Wilson, A Course in Combinatorics (paperback), 2nd edition , Cambridge University Press, 2001 (ISBN: 0-521-00601-5) — free e-book through the Cornell Math Library
    Listed textbook

Prerequisites & course information

background equivalent to: MATH 4410.

Sources