One area of research is commutative algebra, the discipline of pure mathematics in the abstract properties of a set and combinatorics, the art of counting.

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 ...

Given a group and a normal subgroup, we study the problem of choosing coset representatives with few “carries.” The problem is closely linked to the emerging field of additive combinatorics. We ...

combinatorics Mathematician Hurls Structure and Disorder Into Century-Old Problem A new paper shows how to create longer disordered strings than mathematicians had thought possible, proving that a ...

Warren P. Johnson, Combinatorics of Higher Derivatives of Inverses, The American Mathematical Monthly, Vol. 109, No. 3 (Mar., 2002), pp. 273-277 ...

2018 Colloquia in Combinatorics Two consecutive one-day events hosted by QMUL and LSE 2018 sees the twelfth year of the Colloquia in Combinatorics: each year, we present a dozen talks covering a wide ...

Computer scientists made progress on a decades-old puzzle in a subfield of mathematics known as combinatorics.

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 ...

2019 Colloquia in Combinatorics Two consecutive one-day events hosted by QMUL and LSE 2019 sees the thirteenth year of the Colloquia in Combinatorics: each year, we present a dozen talks covering a ...