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.

MAA book review

In 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.

Future Courses (Summer 2022)

MATH 1800 - Introduction to Mathematical Reasoning

Past Courses

MATH 1800 - Introduction to Mathematical Reasoning - 19 times

MATH 1152 - Introductory Algebra I - 1 time

MATH 2152 - Introductory Algebra II - 1 time

MATH 1102 - Algebra I - 3 times

MATH 1002 - Calculus and Introductory Analysis I - 2 times

MATH 4802 - Introduction to Mathematical Logic - 2 times

MATH 4305/5305 - Analytic Number Theory - 1 time

MATH 2454 - Ordinary Differential Equations

MATH 1005 - Differential Equations and Infinite Series for Engineering or Physics - 7 times

MATH 0005 - Precalculus: Functions and Graphs - 8 times

MATH 1104 - Linear Algebra for Engineering or Science - 2 times

MATH 1004 - Calculus for Engineering or Physics - 1 time

Math Matters (one week mini-course) - 3 times