Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Combinatorics and discrete mathematics constitute the study of finite or countable structures and the algorithms that govern them. At its heart is enumeration: the art of counting arrangements, ...

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it ...

Consider this sequence of numbers: 5, 7, 9. Can you spot the pattern? Here’s another with the same pattern: 15, 19, 23. One more: 232, 235, 238. “Three equally spaced things,” says Raghu Meka, a ...

2024 sees the seventeenth year of the Colloquia in Combinatorics: each year, we present a dozen talks covering a wide range of topics of interest to all those working in combinatorics or related ...

Geometric combinatorics of polytopes investigates the rich interface between discrete combinatorial structure and continuous convex geometry. At its heart lies the study of how vertices, edges, faces ...

Discrete mathematics is about precision in reasoning as much as it is about solving problems. Proof techniques like induction, contradiction, and direct reasoning are used to establish results in ...

The School of Mathematical Sciences invites applications for the PhD projects listed below in the Centre for Combinatorics, Algebra and Number Theory. The Centre for Combinatorics, Algebra and Number ...

Eric Swartz: application of group theory to finite structures, such as graphs and finite geometries, and problems related to the combinatorics of finite groups.