# Pure mathematics

The Department of Mathematics and Statistics has a substantial number of researchers working in a variety of areas of Pure Mathematics, including operator theory, noncommutative geometry, dynamical systems and ergodic theory, number theory and topology. Several people work in more than one of these areas, developing subtle and deep interactions between the subjects. There are a number of graduate students and post-doctoral fellows working in pure mathematics. Graduate students enjoy close contact with faculty members.

The group in operator algebras and noncommutative geometry is among the strongest in Canada and Victoria is a recognized centre internationally. Researchers study links between operator algebras and number theory, dynamical systems, topology and index theory, and group theory. This group is the centre for a PIMS Collaborative Research Group in Operator Algebras and Noncommutative Geometry. During the period of concentration from 2009 to 2012, it has hosted a number of high profile international meetings as well as a summer school for graduate students which attracted students from all over the world. The group holds a regular operator theory seminar.

Dynamical systems and ergodic theory are another focal point of the group. These disciplines have substantial links with probability, information theory, number theory, geometry, scientific computation and mathematical physics. Researchers in the area are actively involved in exploring these fruitful interfaces. This discipline benefits from strong regional connections with researchers in dynamical systems and probability in the Pacific Northwest and hosts a regular dynamics seminar, often featuring researchers from outside Victoria.

## Faculty

Name | Contact | Research interests |
---|---|---|

Bose, Chris | cbose@uvic.ca 250-721-7471 DTB A517 | Ergodic theory and dynamical systems |

Budney, Ryan | rybu@uvic.ca 250-853-3292 DTB A516 | Geometry and topology |

Emerson, Heath | hemerson@uvic.ca 250-721-7462 DTB A447 | Operator algebras, index theory, hyperbolic groups |

Laca, Marcelo | laca@uvic.ca 250-721-7467 DTB A548 | Operator algebras, semi-group crossed products, C*-dynamical Hecke C*-algebras |

Putnam, Ian | ifputnam@uvic.ca 250-721-7449 DTB A444 | Operator algebras, dynamical systems |

Quas, Anthony | aquas@uvic.ca 250-721-7463 DTB A538 | Ergodic theory and dynamical systems |

Sourour, Ahmed | sourour@uvic.ca 250-721-7452 DTB A553 | Functional analysis, operator theory, linear algebra |

Trifkovic, Mak | mtrifkov@uvic.ca 250-721-7455 DTB A523 | Arithmetic of elliptic curves and modular forms |

## Professors emeritus

Name | Contact | Research interests |
---|---|---|

Leeming, David | leemingd@uvic.ca 250-472-4928 DTB A418a | Approximation theory, Euler and Bernoulli polynomials |

Miller, Gary | millergg@uvic.ca | |

Phillips, John | johnphil@uvic.ca 250-721-7450 DTB A539 | Operator algebras, operator theory |

Srivastava, Hari M. | harimsri@uvic.ca 250-472-5313 DTB A448 | Real and complex analysis, fractional calculus and its applications, integral equations and transforms, higher transcendental functions and their applications, q-Series and q-Polynomials, analytic number theory |

## Adjuncts

Name | Contact | Research interests |
---|---|---|

Currie, James | j.currie@uwinnipeg.ca | Dejean's conjecture, Abelian patterns. |

Moody, Robert | rmoody@uvic.ca | Theory of Lie groups and Lie algebras, vertex operator representations, aperiodic order as manifested in quasicrystals. |

## Postdoctoral fellows

Name | Contact | Supervisor |
---|---|---|

Koytcheff, Robin | rmjk@uvic.ca 250-853-3292 DTB A516 | Budney |

## PhD students

Name | Contact | Supervisor |
---|---|---|

Chart, Seth | schart@uvic.ca 250-721-7465 DTB A555 | Bose |

Siefken, Jason | siefkenj@uvic.ca 250-721-7465 DTB A555 | Quas |

Williamson, Peter | pwilliam@uvic.ca 250-472-5191 DTB A527 | Putnam |

## Master's students

Name | Contact | Supervisor |
---|---|---|

Cecil, Anthony | ajcecil@uvic.ca 250-853-3289 DTB A434 | Sourour |

Churchill, Samuel | samuelch@uvic.ca 250-853-3289 DTB A434 | Budney |

Francis, Michael | mfranc@uvic.ca 250-721-7465 DTB A555 | Emerson, Laca |

Halverson-Duncan, Brittany | bghalver@uvic.ca 250-472-5691 DTB A457 | Emerson, Putnam |

Horan, Joseph | jahoran@uvic.ca 250-853-3289 DTB A434 | Bose, Quas |