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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,
· BIRS Workshop on
“Diophantine approximation and analytic number theory” November 20
- 25, 2004
· CNTA IX,
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
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.
Joint SFU-UBC Number Theory Seminar - SFU Number Theory Study
Seminar
- Workshop on computational
arithmetic geometry, July 5-9, 2004, PIMS, SFU
- Pacific Northwest
Number Theory Conference 8, April 17, 2004, Oregon State University
- BIRS Workshop
on “Diophantine approximation and analytic number theory”
November 20 - 25, 2004
- Past Events
Faculty
Jonathan Borwein
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Convex and
non-differentiable analysis, entropy optimization, number theory. |
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Peter Borwein
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Diophantine and
computational number theory, symbolic computation. |
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Tom Brown
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Combinatorial
number theory, van der Waerdan's theorem, elementary number theory. |
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Nils Bruin
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Rational
points on hyperelliptic curves, diophantine equations, Chabauty methods, computational number
theory. |
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Imin Chen
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Elliptic curves,
modular forms, galois representations, jacobians of modular curves. |
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Stephen Choi
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Diophantine equations,
diophantine approximation, polynomials with restricted coefficients, merit
factors of binary sequences. |
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Veso Jungic
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Combinatorial
number theory |
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Petr Lisonek
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Computational
discrete mathematics, symbolic computation, isomorph-free generation of
combinatorial structures. |
Postdoctoral Fellows and Visitors
Ron Ferguson
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MITACS/PIMS Postdoctoral
Fellow (2002-03) |
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Ben Green
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PIMS Postdoctoral
Fellow (2003–04) |
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Friedrich Littmann
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PIMS Postdoctoral
Fellow (2003–05) |
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Christopher Rowe
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PIMS Postdoctoral
Fellow (2003–05) |
Graduate Students
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Shabnam Akhtari |
M. Sc. |
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Adrian Belshaw |
M. Sc. |
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Samatha Carruthers |
M. Sc. |
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Hamid Hazari |
Ph. D. |
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Joshua Knauer |
M. Sc. |
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Pei Li |
M. Sc. |
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Alan Meichsner |
Ph. D. |
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Ph. D. |
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Keshav Mukunda |
Ph. D. |
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Lisa Redekop |
M. Sc. |
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Austin Roche |
Ph. D. |
Information
for Graduate Students
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