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.
Faculty working in Combinatorics
- Every four years, during the International Congress of Mathematicians, the International Mathematical Union awards the highest academic honor in the field of mathematics, the Fields Medal. This year...
- Professor Jozsef Balogh, a J. Andrew and Susan Langan Scholar, has been awarded a Focused Research Grant by the National Science Foundation (NSF), jointly with Florian Pfender (University of Colorado...