Since September 2013 I have been on the faculty at Carleton University. From January 2010 to August 2013 I was on the faculty at the University of Lethbridge. From July 2007 to December 2009 I was a post-doctoral fellow at the University of Lethbridge studying with Dr. Amir Akbary, Dr. Nathan Ng, and Dr. Habiba Kadiri. During the first two years I was a PIMS post-doctoral fellow.
I received my PhD in Mathematics from Queen's University in May 2007. I studied under Dr. Ram Murty. I received my MSc from the University of Toronto in 2003, and my BSc from Queen's University in 2002.
I co-authored a book with Ram Murty, entitled Hilbert's Tenth Problem: An Introduction to Logic, Number Theory, and Computability. It was published in 2019 by the American Mathematical Society.
AMS book pageIn general, I am interested in analytic number theory, and I am especially interested in L-functions. Primarily I have been studying the relationship between the generalized Riemann hypothesis and the existence of solutions to Diophantine equations, using methods arising out of the negative solution to Hilbert's 10th problem. I am also interested in mathematical logic and set theory.