Cameron McLeman, Ph.D.
What do you enjoy most about your work?
My favorite moments in teaching are the cliche of the "student surpassing the master" -- those times when a student becomes so passionately curious about some of the content we cover that she delves into the topic with all of her energy, and by the end is teaching me new material.
Who has had the greatest influence on your career?
I've been very fortunate in having a long and steady stream of positive influences on my mathematical and professional development, from my family, to my K-12 instructors, to my professors at Harvey Mudd College and the University of Arizona, and finally my professional colleagues at Willamette University and the University of Michigan - Flint.
I've been invited to give presentations on my research all over the country, and even internationally. Last year I was awarded the Dr. Matthew Hilton-Watson Distinguished Professor Award.
My doctoral research was in algebraic number theory (specifically in class field theory and pro-p-group theory), with a Ph.D. minor in linguistics (specifically formal language theory). My current mathematical interests are varied, ranging from category theory and homological algebra to graph theory and other branches of discrete mathematics. My most recent publications have been primarily in the areas of algebraic number theory and algebraic graph theory, with other newer lines of research including fractal theory, discrete game theory, modeling with Markov chains, and arithmetic geometry.
My list of current projects fluctuates quickly with the success and failure of previous ideas. I have quite a few projects running at the moment, ranging from applying probability theory to distributions of class groups in algebraic number theory, to computing spectra of graphs, to exploring analogs of derivatives and integrals defined on the integers, to classifying group-theoretic actions of relevance to modular forms, to modeling the movement of rooks on a chessboard, to name a few.