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 many topics in other fields such as algebraic geometry, commutative algebra, symplectic geometry, and mathematical physics. Thus many students benefit from the wide array of seminars available at Illinois. Weekly details are found in the Mathematics Department seminar schedule.