Joseph F. Coyle

Associate Professor and Director of Financial Mathematics
Ph.D., University of Delaware

Upon graduation from Miami, I found that I wanted to continue studying mathematics and ended up earning an MS in mathematics from the University of Dayton. During that time, I realized that I wanted to continue on to a terminal degree. Unfortunately, the University of Dayton did not offer such a program, so I looked around and ended up heading to the University of Delaware in the fall of 1993. I attended a talk on scattering theory sometime during my first year there, and I was hooked. During my time at Delaware, I was able to study both forward (finite element techniques) and inverse (nondestructive reconstruction techniques) scattering. I also met my future wife! In the final months at Delaware, I fired off an application for an EPSRC postdoctoral fellowship at Strathclyde University in Glasgow, Scotland, and consequently received the position. I graduated in January of 1999, was married in July, and left for Scotland in October. We were there for three amazing years. In the fall of 2002, we settled in New Jersey where I started my time at Monmouth University, and my wife began working in New York City. Professionally, I have received tenure and served as a department co-chair for six years and just recently became the chair of the Faculty Council and the director of our new Master’s in Financial Mathematics program.

Fall 2011 Courses:

• Calculus with Analytic Geometry I
• Programming and Technology in Mathematics
• Independent Study in Mathematics

Research Interests

My research is in scattering theory, or, more specifically, the scattering of electromagnetic or acoustic waves. Scattering theory can be divided into two categories: forward and inverse. In the forward problem, the main goal is to compute the scattered wave given an incident field and the medium in which the wave travels. In the inverse problem, one tries to determine the object that actually scattered the wave given the incident and scattered field. I tend to concentrate my efforts in the area of numerical analysis, where I mainly focus on the computational aspects of scattering theory. More specifically, I work on finite element methods for the forward problem and regularization/sampling techniques for the inverse problem.