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 ...

https://doi.org/10.4169/amer.math.monthly.121.08.674 https://www.jstor.org/stable/10.4169/amer.math.monthly.121.08.674 Given a group and a normal subgroup, we study ...

The mathematician Ben Green of the University of Oxford has made a major stride toward understanding a nearly 100-year-old combinatorics problem, showing that a well-known recent conjecture is “not ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

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 ...

Those interested are welcome to attend for all or any part of the event. The two hosting institutions are less than half an hour apart by tube; it is hoped that many people will be able to attend for ...

Those interested are welcome to attend for all or any part of the event. The two hosting institutions are less than half an hour apart by tube; it is hoped that many people will be able to attend for ...

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 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 ...