
About me
I am a maple syrup farmer. When I'm not boiling sap, I am an Associate Professor at Saint Mary's University, in Halifax, Nova Scotia, Canada.
Between 2021 and 2024, I was a postdoc at the University of Colorado Boulder with mentor Katherine E. Stange.
I received my PhD in 2021 at McGill University under the supervision of Henri Darmon. My PhD studies were supported by a Vanier Canada Graduate Scholarship.
I was a Blyth Scholar during my undergraduate at Trinity College, Cambridge, where I received a BA(hons), MMath, and MA.
In high school I represented Canada at the 2011 and 2012 International Mathematical Olympiad, winning two silver medals.
I returned to the IMO as Observer B (2015), Leader (2017, 2018), and Observer A (2019). Since September 2019 I have been chair of the Canadian IMO Committee.
Due to frequent moving while growing up, I do not have a canonical hometown. That said, I normally identify with being from Annapolis Royal, Nova Scotia.
CV
ORCID
Research interests
I am interested in algebraic number theory, with an empahsis on computations, visualizations, and implementing algorithms. I write a large amount of code, mostly in PARI/GP and C, which can be found on my Github. Most of my current research falls under one or more of the following umbrellas:
- circle packings, especially Apollonian and variants;
- thin (semi-)groups and continued fractions;
- (indefinite) quadratic forms and (indefinite) quaternion algebras;
- arithmetic Fuchsian/Kleinian groups, especially their fundamental domains and geodesics.
ARE YOU INTERESTED IN A POSTDOC?
I am interested in supporting an AARMS Postdoc. If you are interested, please get in touch with me.
Updates
- 18 - 19 August 2026: Attended and gave a talk at AMMCS-2026, at Wilfrid Laurier University.
- 18 May 2026: New paper posted! We explore a circle packing derived from the Eisenstein Schmidt arrangement. One of our hopes was to find cubic reciprocity lurking, but alas, we did not detect any.
- 3 September 2025: Start of the new academic year!
- 18 - 22 Aug 2025: Attended Darmonfest at Centre de Recherches Mathématiques, a conference to celebrate the 60th birthday of my advisor!
- 23 - 27 Jun 2025: Attended Atelier libpari 2025 at Université de Bordeaux
- 29 April 2025: New paper posted! We verify and expand Iwaniec's work on representing primes by shifted binary quadratic forms, by adding the condition that the inputs must be coprime.
- 21 April 2025: Talk at The Ohio State University.
Contact
Department of Mathematics and Computing Science
Saint Mary's University
923 Robie Street
Halifax, NS B3H 3C3
Canada
Office: McNally North 120
Email: james.rickards (at) smu.ca