The Combinatorics Research Group conducts research in:
- Graph Theory
- Probabilistic Combinatorics
- Physical Combinatorics
- Algebraic Combinatorics
- Combinatorial Representation Theory
In addition to the combinatorics activities: ,seminars in theoretical computer science in the Computer Science Department also often discuss topics in discrete mathematics. Algebraic combinatorics and combinatorial representation theory connects to topics in other fields such as algebraic geometry, commutative algebra, symplectic geometry, and mathematical physics.
Books on combinatorics and optimization can be found in the Mathematics Library Stacks currently located at Main Library Stacks 1 East shelved under call number ranges 511.6 and 519.6, respectively for the duration of Altgeld Hall renovation.