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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

NameContactResearch interests
Bose, Chriscbose@uvic.ca
250-721-7471
SSM A517
Ergodic theory and dynamical systems
Budney, Ryanrybu@uvic.ca
250-853-3292
SSM A516
Geometry and topology
Emerson, Heathhemerson@uvic.ca
250-721-7462
SSM A447
Operator algebras, index theory, hyperbolic groups
Laca, Marcelolaca@uvic.ca
250-721-7467
SSM A548
Operator algebras, semi-group crossed products, C*-dynamical Hecke C*-algebras
Putnam, Ianifputnam@uvic.ca
250-721-7449
SSM A444
Operator algebras, dynamical systems
Quas, Anthonyaquas@uvic.ca
250-721-7463
SSM A538
Ergodic theory and dynamical systems
Sourour, Ahmedsourour@uvic.ca
250-721-7452
SSM A553
Functional analysis, operator theory, linear algebra
Trifkovic, Makmtrifkov@uvic.ca
250-721-7455
SSM A523
Arithmetic of elliptic curves and modular forms
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Professors emeritus

NameContactResearch interests
Leeming, Davidleemingd@uvic.ca
250-472-4928
SSM A418a
Approximation theory, Euler and Bernoulli polynomials
Miller, Garymillergg@uvic.ca

Phillips, Johnjohnphil@uvic.ca
250-721-7450
SSM A539
Operator algebras, operator theory
Srivastava, Hari M.harimsri@uvic.ca
250-472-5313
SSM 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
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Adjuncts

NameContactResearch interests
Currie, Jamesj.currie@uwinnipeg.ca

Dejean's conjecture, Abelian patterns.
Moody, Robertrmoody@uvic.ca

Theory of Lie groups and Lie algebras, vertex operator representations, aperiodic order as manifested in quasicrystals.
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Postdoctoral fellows

NameContactSupervisor
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PhD students

NameContactSupervisor
Antonioli, Johnantoniol@uvic.ca
250-472-5314
SSM A455
Quas
Chart, Sethschart@uvic.ca
250-721-7465
SSM A555
Bose, Putnam
Georgescu, Magdalenamagda@uvic.ca
250-472-5191
SSM A527
Phillips
Siefken, Jasonsiefkenj@uvic.ca
250-721-7465
SSM A555
Quas
Williamson, Peterpwilliam@uvic.ca
250-472-5191
SSM A527
Putnam
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Master's students

NameContactSupervisor
Francis, Michaelmfranc@uvic.ca
250-721-7465
SSM A555
Emerson, Laca
Halverson-Duncan, Brittanybghalver@uvic.ca
250-472-5691
SSM A457
Emerson
Wiart, Jasparjjaw@uvic.ca
250-472-5691
SSM A457
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