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Number Theory Group

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 UBC Number Theory Group, we form one of the largest communities of Number Theory Researchers in North America.

Current and upcoming events

Group members

Faculty
Bell, JasonNoncommutative algebra, number theory, combinatorics, theorectical comp scijpb@math.sfu.ca
Borwein, PeterClassical analysis, number theory, and computationpborwein@cecm.sfu.ca
Bruin, NilsDiophantine and arithmetic geometrynbruin@math.sfu.ca
Chen, IminNumber theory, arithmetic geometryichen@math.sfu.ca
Choi, StephenAnalytic number theorykkchoi@math.sfu.ca
Jungic, Veselinvjungic@sfu.ca
Postdoctoral Fellows
Dahmen, SanderIRMACSsdahmen@irmacs.sfu.ca
Samuels, Charlescsamuels@sfu.ca
Stange, Katherinekestange@sfu.ca
Graduate Students
Avis, Aki Ayukawaaki_avis@sfu.ca
Belshaw, Adrianabelshaw@capilanou.ca
Casteels, Karelkcasteel@sfu.ca
Colak, Pinarppekcagl@sfu.ca
Doerksen, Kevinkdoerkse@sfu.ca
Ganguli, Himadrihganguli@sfu.ca
Kieffer, StevenNumber theory, computer algebrasak8@sfu.ca
Molnar, Alexanderahmolnar@sfu.ca
Ratcliffe, Jamesjwratcli@sfu.ca
Rinne, Ericejr2@sfu.ca
Roche, Austinaroche@cecm.sfu.ca
Sharifi, Yaghoubysharifi@sfu.ca

Past events

Reports and Theses

Keshav Mukunda, Pisot and salem numbers from polynomials of height one, PhD Thesis, Summer 2007.
Brett Hemenway, On Recognizing Congruent Primes, MSc Thesis, Fall 2006.
Lisa Redekop, Torsion Points of Low Order on Elliptic Curves and Drinfeld Modules, MSc Thesis, Spring 2006.
Adrian Belshaw, On the normality of numbers, MSc Thesis, Fall 2005.
Karin Arikushi, Elliptic Curves with isomorphic 3-torsion over Q, NSERC Summer student report, October 16, 2005.
Shabnam Akhtari, On the Cyclotomic Polynomials with +1 or -1 Coefficients, MSc Thesis, July 2004.