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) ...

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 ...

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 ...

Statistical mechanics provides a unifying framework for understanding how macroscopic phases and collective phenomena emerge from the microscopic interactions of many‐particle systems. Physical ...

The Bristol One-Day Meeting in Combinatorics is an annual conference in Bristol with talks on a wide variety of topics within Combinatorics. Talks will cover recent developments in extremal and ...

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 ...

The beginnings of combinatorics in India date back to Bharata's Natyasastra and the last chapter of the work Chandahsastra (Sanskrit Prosody) by Pingala (c. 300 BCE). Pingala deals in a few cryptic ...

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.