Biography
I received my Ph.D. in Mathematics from Cornell University in August of 2002 under the direction of Anil Nerode. At the same time, I was awarded a Masters Degree in Computer Science. I took a three year VIGRE Postdoctoral fellowship in the Mathematics Department of Indiana University in Bloomington, although I spent one of those years visiting Rod Downey at Victoria University in Wellington. After spending three years in a tenure-track position at the University of Connecticut, in the Fall of 2008 I moved to the University of Wisconsin—Madison.
Research Interests
My research is in computability theory; I am particularly interested in problems that bring to light the nontrivial interaction between computable structure and classical mathematical structure. In pursuit of this interaction, I have done work in Kolmogorov complexity and algorithmic randomness, reverse mathematics, and effective mathematics (primarily computable analysis and topology).
