Education
- PhD in Pure Mathematics, University of Sheffield, UK, 2008 (thesis available here)
- MMath, University of Durham, UK, 2004
Previous positions
- Postdoctoral Fellow of the Pacific Institute for the Mathematical Sciences, 2011–2013 (fellowship held at the University of Alberta)
- Max Wyman Assistant Professor in Number Theory, University of Alberta, 2008–2011
Courses taught
- Linear Algebra I, MATH 125
- Calculus for the Physical Sciences I, MATH 144
- Differential Equations, MATH 201
- Intermediate Calculus II, MATH 215
- Linear Algebra II, MATH 225
- Ring Theory, MATH 228
- Graph Theory, MATH 322
- Elementary Number Theory, MATH 324
- Group Theory, MATH 328
- Introduction to Differential Equations, MATH 334
- Reading in Mathematics, MATH 497
- Research Project in Mathematics, MATH/STAT 499, as supervisor and as course coordinator
- Algebraic Number Theory, MATH 512
Seminars
Seminar In Number Theory for Alberta Students (SINTAS)
Class field theory (no longer running)
Conferences organized
Here is the schedule for Alberta Number Theory Days 2010 (with Matthew Greenberg), held at the Banff International Research Station from 30th April to 2nd May 2010.Mathematical interests
My primary mathematical interests are in algebraic number theory, a branch of number theory that uses algebraic tools (among others) to understand the integers.
Papers
- Factorial-Type Recurrence Relations and \(p\)-adic Incomplete Gamma Functions. Acta Arithmetica, December 2023. (A pre-submission version is on the arXiv.)
- \(p\)-Adic roots of chromatic polynomials, Graphs and Combinatorics, April 2020. This is a post-peer-review version. It includes no changes made by the copyeditor. The final authenticated version is available online at http://dx.doi.org/10.1007/s00373-020-02171-y.
- The equivalence of Rubin's Conjecture and the ETNC/LRNC for certain biquadratic extensions, Glasgow Mathematical Journal, August 2013. pdf
- Local and global fundamental classes for multiquadratic extensions, Journal of Number Theory, February 2013. pdf
- Connecting homomorphisms associated to Tate sequences, Acta Arithmetica, July 2011. pdf
- The fractional Galois ideal for arbitrary order of vanishing, International Journal of Number Theory, February 2011. pdf
- Functoriality of the fractional Galois ideal, with V. Snaith, Canadian Journal of Mathematics, July 2010. (Full text at journal)
- On the \(p\)-adic Beilinson Conjecture for number fields, with A. Besser, R. de Jeu and X.-F. Roblot, special volume of the Pure and Applied Mathematics Quarterly on the occasion of Serre's 80th birthday, January 2009. (Full text at journal)
- The canonical fractional Galois ideal at \(s=0\), Journal of Number Theory, June 2008. pdf
Non-mathematical interests
- Reading
- Photography