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, ...

Geometric group theory and discrete mathematics intersect in the study of groups through the lens of geometric and combinatorial structures. At its core, geometric group theory probes how algebraic ...

Discrete mathematics is the study of finite or countable discrete structures; it spans such topics as graph theory, coding theory, design theory, and enumeration. The faculty at Michigan Tech ...

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) ...