Why am I interested in mathematics? Why should you or anyone else also be interested in studying mathematics? Read my answer.
I am an active researcher in mathematics -- both on my own and in collaboraton with colleagues and students, I solve previously unsolved problems, prove new theorems, publish papers in peer-reviewed academic journals and travel to conferences all over the world to present my work. My research frequently involves students, so if you're a student who's interested in contributing to the current state of the art in mathematical knowledge, feel free to drop by my office, send me an email or an instant message. I am currently interested in algebraic structures such as quandles and biquandles; these algebraic structures are useful for defining invariants of topological and combinatorial objects.
I am also a serious and passionate teacher of mathematics. Mathematical reasoning is an intellectual technology developed over thousands of years for helping us overcome the limitations of our natural intuition; it is the very core of scientific reasoning and underlies nearly all of the greatest achievements of our species. I am excited to be a part of the grand tradition of passing along our hard-won intellectual technology to future generations. I see teaching and research as two sides of the same coin -- teaching a subject well involves asking the right questions and showing the students how to discover the concepts for themselves, while solving problems is only useful if you can communicate your ideas to others effectively.
I completed my Ph.D. at Louisiana State University in August 2002 and then spent seven years as a visiting assistant professor -- two years at Whittier College, three years at the University of California at Riverside, one year at Pomona College, and one year as a visitor at Claremont McKenna College before switching to tenure-track status at CMC. In 2012 I was promoted to Associate Professor and granted tenure. I served a term as Chair of the local SoCal-Nevada section of the Mathematical Association of America. In 2018 I was promoted to Full Professor.
My students should read my guide to being a successful student of mathematics as well as my statement on my grading policy.