There are two main theories used by physicists to explain the inner workings of the universe. General relativity is used to describe the very large, while quantum mechanics describes the very small. For decades, physicists ...

In this project, we study the analogous measure of complexity given by a generalization of a surface called a C-complex.

This interdisciplinary project uses mathematics to represent musically significant collections of notes such as scales, chords and intervals as combinations of each other. These note collection were converted into ...

Number Rockets is a tutor delivered math intervention program for 1st grade. A randomized control trial of Number Rockets found significant improvements in math computation and concept and application skills for 1st graders. ...

Let A and B be groups and consider the direct product A x B. In 1889, Edouard Goursat proved a theorem that provides the structure of subgroups in a direct product. The purpose of this study was to improve and make more ...

Our goal is to be able to predict how automorphisms of the semihypercubes act using the Hasse graphs of the fixed k-faces to obtain a generating function for the Hasse graph polynomial.

In group theory, we study ways to get new groups from old groups, and we study properties of subgroups and further characterizations of subgroups in various groups. Edouard Goursat determined a method to characterize the ...

RNA forms bonds with itself and partially determines how the RNA functions. We investigate some models for this RNA secondary structure using a mathematical object called a matching. Some bonds are more likely than others ...

Ancient Egyptians are known for their mathematical prowess. To understand what inspired this progress, we must contextualize the mathematical procedures that were developed and used at the time. In ancient Egypt, mathematics ...

The purpose of this study was to study Young tableaus, which are combinatorial objects useful in the study of representation theory of symmetric groups, using mathematical theory.