Simon Fraser University

Department of Mathematics

Centre for Constructive and Experimental Mathematics





Number Theory Group




·    Number Theory Activites

·    Pacific Northwest Number Theory Conference 9, April 23, 2005, Simon Fraser University, Burnaby, BC

·    Workshop on computational arithmetic geometry, July 5-9, 2004, PIMS, SFU

·    BIRS Workshop on “Diophantine approximation and analytic number theory” November 20 - 25, 2004

·    CNTA IX, VANCOUVER, July 2006


PIMS has approved a Period of Concentration in Number Theory for 2003-2005.


Number theory is one of the oldest, deepest and most vibrant branches of modern mathematics. It centrally incorporates some of the most sophisticated and profound mathematical ideas that have been developed (witness the recent proof of Fermat's Last Theorem) and yet remains broadly useful in many areas of pure and applied mathematics. It is remarkable how often number theory comes to bear both in other areas of mathematics and in applications. A notable recent example is internet security whose protocols are based on number theoretic problems.

Number theory has historically been motivated by the study of properties of integers and solutions to equations in integers, but now includes many other aspects, each with its own flavour and viewpoints. Broadly speaking, these can be divided into Analytic, Algebraic, Diophantine, and Geometric aspects of Number Theory. Research in Number Theory today often involves knowledge and expertise from areas such as Algebra, Algebraic Geometry, Analysis, Combinatorics, Probability Theory, Representation Theory, Topology. Connections to applicable fields include Coding Theory and Cryptography.

At Simon Fraser University, we have a strong group in Number Theory which covers the spectrum of Number Theory. Together with the groups at the University of British Columbia and the University of Washington at Seattle, we form one of the largest groups of Number Theory Researchers in North America.

We maintain two active research seminars with UBC and UW which keep abreast of current developments in Number Theory. These are the SFU-UBC Number Theory Seminar and Pacific Northwest Number Theory Seminar. We also run a regular SFU Number Theory Study Seminar.

Our members are also active participants in the programs and initiatives of the IRMACS, PIMS and MITACS.



Number Theory Events 2004





Jonathan Borwein

Convex and non-differentiable analysis, entropy optimization, number theory.

Peter Borwein

Diophantine and computational number theory, symbolic computation.

Tom Brown

Combinatorial number theory, van der Waerdan's theorem, elementary number theory.



Nils Bruin


Rational points on hyperelliptic curves, diophantine equations, Chabauty methods, computational number theory.

Imin Chen

Elliptic curves, modular forms, galois representations, jacobians of modular curves.

Stephen Choi

Diophantine equations, diophantine approximation, polynomials with restricted coefficients, merit factors of binary sequences.

Veso Jungic

Combinatorial number theory

Petr Lisonek

Computational discrete mathematics, symbolic computation, isomorph-free generation of combinatorial structures.


Postdoctoral Fellows and Visitors

Ron Ferguson

MITACS/PIMS Postdoctoral Fellow (2002-03)

Ben Green

PIMS Postdoctoral Fellow (2003–04)

Friedrich Littmann

PIMS Postdoctoral Fellow (2003–05)

Christopher Rowe

PIMS Postdoctoral Fellow (2003–05)


Graduate Students

Shabnam Akhtari

 M. Sc.

Adrian Belshaw

 M. Sc.

Samatha Carruthers

 M. Sc.

Hamid Hazari

 Ph. D.

Joshua Knauer

 M. Sc.

Pei Li

 M. Sc.

Alan Meichsner

 Ph. D.

Idris Mercer

 Ph. D.

Keshav Mukunda

 Ph. D.

Lisa Redekop

 M. Sc.

Austin Roche

 Ph. D.



Information for Graduate Students


Last Update: November 17, 2004