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 ...

Sampling from a distribution and counting (computing certain statistics or partition functions) are related tasks that are equivalent under polynomial-time reductions for many distributions of ...

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, ...

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 ...

At first pass, it may seem odd for a computer science professor to pen a book about mathematical topics. But a chat with Ömer Eğecioğlu quickly dispels the notion that the fields are that different, ...

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 ...

When you're under pressure to set direction, justify investment, or understand your competitive position, you need more than raw data — you need trusted insights you can act on. Benchmark your ...

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 ...

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