Algebraic structures arising in number fields underpin the study of solutions to polynomial equations over finite extensions of the rationals. The ring of integers in a number field encapsulates its ...

Algebraic structures—such as groups, rings, modules, Lie algebras and their generalisations—provide a unifying language for diverse areas of mathematics and theoretical physics. Cohomological methods ...

A research team of mathematicians and computer scientists has used machine learning to reveal new mathematical structure within the theory of finite groups. By training neural networks to recognise ...