# Department of Mathematics

## Joshua Harrington, Ph.D.Mathematics Department Chair ## Link |

#### Education

B.S. in Mathematics, Shippensburg University

Ph.D in Mathematics, University of South Carolina

Research Interests

My primary area of research is Number Theory. I do a lot of research on the properties of polynomials over the ring of integers. Such properties include locations of roots, as well as irreducibility and factorization. I am also very interested in research involving covering systems of the integers. While my primary interests lie in Number Theory, I have also done research in the areas of combinatorics and algebra.

## James M. Hammer III, Ph.D.Assistant Professor ## Link |

#### Education

B.S. in Mathematics, Kutztown University of Pennsylvania

Ph.D in Mathematics, Auburn University

Research Interests

My primary area of research are Greaph Theory and Design Theory. Most of my research are in structural graph theory and graph decompostions. I have also done a lot od work on latin squares, particularly a specific kind of multiple gerechte designs called factor pair latin squares. In addition to studying grpahs, I also enjoy working on elemtary number theory problems, enumeration problems, and other combinatorial puzzles.