Number Theory is one of the oldest branches of modern mathematics. It is motivated by the study of properties of integers and solutions to equations in integers. Many of its problems can be stated easily, but often require sophisticated methods from a diverse spectrum of areas in order to study. Its modern formulations are wide reaching and have close ties to algebraic geometry, analysis, and group theory; together with computational aspects. Perhaps due to the fundamental and profound nature of the integers, Number Theory plays a special role in mathematics and applications: two of the Clay Millennium Prize Problems are in Number Theory, and many internet security protocols are based on number theoretic problems.

Number Theory is an active area of research for faculty at SFU, and together with faculty at UBC, we form one of the largest communities of Number Theory researchers in North America.

- Joint PIMS/SFU/UBC Number Theory Seminar.
- Pacific Northwest Number Theory Conference 2014, May 17-18, 2014 at IRMACS, SFU.

## Faculty |
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Peter Borwein | Classical analysis, number theory, and computation | pborwein@cecm.sfu.ca |

Nils Bruin | Diophantine and arithmetic geometry | nbruin@math.sfu.ca |

Imin Chen | Number theory and arithmetic geometry | ichen@math.sfu.ca |

Stephen Choi | Analytic number theory | kkchoi@math.sfu.ca |

Ramsey theory and mathematics education | vjungic@sfu.ca | |

## Postdoctoral Fellows |
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Colin Weir | 2013 - 2014 | |

Jonas Jankauskas | 2012 - 2013 | |

Paul Pollack | 2011 - 2012 | |

Charles Samuels | 2009 - 2011 | |

Katherine Stange | 2009 - 2011 | |

Sander Dahmen | 2008 - 2010 | |

Soroosh Yazdani | 2010 - 2011 | |

Ronald van Luijk | 2006 - 2008 | |

Chris Sinclair | 2005 - 2007 | |

Friedrich Littmann | 2003 - 2005 | |

## Graduate Students |
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Navid Alaei | ||

Adrian Belshaw | ||

Gleb Glebov | ||

Avinash Kulkarni | ||

Ryan McMahon |

- PIMS Distinguished Visitor Colloquium: Fritz Beukers, May 2, 2013.
- Riemann Zeta Function Workshop, IRMACS, November 2-3, 2012.
- BIRS Summer School on Contemporary Methods for Solving Diophantine Equations,

June 10-17th, 2012. - Pacific Northwest Number Theory Conference 2010.
- Special session in AMS Western Section meeting: West End Number Theory, October 4-5, 2008.
- CNTA IX, Vancouver, July 9-14, 2006.
- 10th Annual Pacific Northwest Number Theory Conference, Digipen/Microsoft Research, February 25-26, 2006.
- Pacific Northwest Number Theory Conference 9, April 23, 2005.
- Workshop on computational arithmetic geometry, July 5-9, 2004.
- Joint PIMS/SFU/UBC Number Theory Seminar: Past semesters.

A complete list of our graduate courses can be found here. Information about applying to our program can be found here. The following is a list of the courses relevant to studies in Number Theory.

MATH 724 Applications of Complex Analysis

MATH 725 Real Analysis

MATH 740 Galois Theory

MATH 741 Commutative Algebra and Algebraic Geometry

MATH 817 Groups and Rings

MATH 818 Algebra and Geometry

MATH 842 Algebraic Number Theory

MATH 843 Analytic and Diophantine Number Theory

MATH 447 Coding Theory

MACM 401 Introduction to Computer Algebra

MACM 442 Cryptography

Undergraduates interested in learning Number Theory can take MATH 342 Elementary Number Theory, which serves as a general introduction with minimal prerequisites. However, because research in Number Theory requires techniques from many areas, we encourage students interested in continuing in this area to take a broad spectrum of courses from our curriculum. For further guidance, please contact the Undergraduate Advisor.

Here is a sample of undergraduate research in Number Theory that has been done recently.

Richard Lei | A Sieving Approach to S-Unit Equations | NSERC USRA Report | 2011 |

Robert Shih | Plotting Plane Algebraic Curves Containing Singularities in Sage | NSERC USRA Report | 2010 |

Karin Arikushi | Elliptic Curves with isomorphic 3-torsion
over Q |
NSERC USRA Report | 2005 |