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 ...

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 ...

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

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 ...