Dr. Loren Spice
I attended Harford Community College and Towson State University (now Towson University), both in Maryland, as an undergraduate. (I thus have experience being at universities whose initials are T*U.) My graduate studies were at the University of Chicago, under the math pirate Paul Sally. I was then a post-doctoral fellow at the University of Michigan, followed by a semester as a visiting fellow at Purdue University, and then back to the University of Michigan for a while. I joined Texas Christian University in 2009.
My interests lie in representation theory, which is a non-commutative generalisation of Fourier analysis to study functions on highly symmetric spaces. The representations that I consider are complex representations of groups over the p-adic numbers, a different kind of number system created to allow one to apply analytic techniques to number-theoretic questions. An improv comedy group once made the mistake of asking me what my job was, and then struggled heroically to build a skit around the idea of harmonic analysis. My mother just memorised the word supercuspidal.
I am also interested in outreach, especially related to math education, and have studied the formation of vertical collaborations between pre- and in-service teachers in joint work with Dr. Sarah Quebec Fuentes in the College of Education.
One of the most wonderful things about teaching is that there’s always something new for me to learn; I have taught Calculuses (calculi?) of many kinds, Discrete Mathematics I and II, and several of our education classes for mathematics majors, and, each time I go into one of these courses, I look forward to picking up some new example or perspective.