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) ...

Combinatorial algebraic geometry sits at the intersection of discrete mathematics and algebraic geometry, exploring the deep interplay between algebraic structures and combinatorial methodologies.

Algebraic structures such as operads, Lie algebras and higher A∞-algebras underpin many foundational aspects of modern mathematics. When combined with homotopy theory—the study of continuous ...

A childhood mathematics lesson becomes a reflection on how rigid adherence to prescribed methods can stifle creativity and ...