A partition of a positive integer n is a non-increasing sequence of positive integers whose sum is n, the partitions of 3 ...

The study of alternating sign matrices (ASMs) occupies a central position in enumerative combinatorics, linking intricate algebraic methods with models from statistical physics. ASMs are square ...

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) ...

https://doi.org/10.4169/amer.math.monthly.124.9.844 • https://www.jstor.org/stable/10.4169/amer.math.monthly.124.9.844 Copy URL The theory of s-core partitions ...

A partition π of the set [n] = {1,2,..., n} is a collection {B₁...,Bk) of nonempty disjoint subsets of [n] (called blocks) whose union equals [n]. Suppose that the subsets Bi are listed in increasing ...

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 ...

My primary research interests are in algebra and combinatorics. In particular, I work within the realm of combinatorial representation theory, attempting to connect combinatorial objects (such as ...

Prime numbers, those integers divisible only by one and themselves, have fascinated mathematicians for millennia. Their distribution among other numbers remains a mystery, despite technological ...