I graduated from St. Olaf College in 1989 with majors in mathematics, philosophy, and Latin. I went on to graduate school in mathematics at Rutgers University (though the Rutgers Mathematics Department Home Page is probably a better place to look for information).
At Rutgers, I wrote my Ph.D. thesis in representation theory. My advisor was Friedrich Knop (whose home page is here). The major result of my thesis was the classification of multiplicity free representations of connected reductive linear algebraic groups. A paper summarizing these results can be found in the Journal of Lie Theory, where the paper has appeared. (An on-line version of the paper can be found here.)
I am currently an Associate Professor in the mathematics department at Knox College. I teach six courses a year in the mathematics department. (The catalogue description of the mathematics department can be found here on the Knox College web site.) I have also taught First-Year Preceptorial, a campus-wide liberal-arts course taught by people from all departments for students in their first term at Knox, and an Advanced Preceptorial entitled "Science, Science Fiction, and the Future". Course descriptions for mathematics courses can be found here. The course descriptions for the preceptorial courses can be found here.
Links to the web pages for the courses that I am currently teaching can usually be found on my home page. (If not, then the URL http://math.knox.edu/aleahy/mathXXX, where XXX is the catalogue number for the course, usually works.)
Since receiving my Ph.D., I've taken some time to explore a longstanding interest I've had in the history of mathematics. This interest was greatly facilitated when I attended the Institute on the History of Mathematics and Its Application to Teaching (IHMT) in Washington, D.C., during the summers of 1996 and 1997. The IHMT was an NSF-funded institute geared toward promoting the history of mathematics in the undergraduate curriculum.
Currently, my major research work in this area has been devoted to producing a translation of James Gregory's Geometriae Pars Universalis. Most would be surprised to know that this 17th century geometry text contains the first published proof of the fundamental theorem of calculus (albeit in geometric form). Portions of this translation are available on-line here. (A rough draft of a translation of the remaining portions of the Geometriae Pars Universalis can be found here.) I also have a paper that explains some of these results in modern terms. This paper has been accepted for publication in the Proceedings of Eighth Midwest History of Mathematics conference.
My second major research interest has centered on the role that distributed computing clusters can play in the undergraduate mathematics curriculum. Here's the idea in a nutshell: String together inexpensive PC's via a cheap networking technology (such as 100Mbit ethernet) and you can create a "supercomputer" so cheap that even a small college or university can afford it.
Recently, Dennis Schneider and I completed an NSF/CCLI grant to develop two new courses which will provide an introduction to the types of computations distributed computing clusters can perform. Information about this grant, including an abstract of our project, can be found here on the NSF web site. Our local site for the grant work is here.