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
Bazett,  Trefor
Office: DTB-A450
Mathematics education and algebraic topology.
Bose,  Chris
Office: DTB-A517
Ergodic theory and dynamical systems.
Budney,  Ryan
Office: DTB-A516
Geometry and topology.
Eagle,  Christopher
Office: DTB-A441
Mathematical logic and its applications
Emerson,  Heath
Office: DTB-A447
Operator algebras, index theory, hyperbolic groups.
Laca,  Marcelo
Office: DTB-A548
Operator algebras, semi-group crossed products, C*-dynamical Hecke C*-algebras.
Putnam,  Ian
Office: DTB-A444
Operator algebras, dynamical systems.
Quas,  Anthony
Office: DTB-A538
Ergodic theory and dynamical systems.
Ray,  Gourab
Office: DTB-A440
Probability theory, Random planar geometry
Scully,  Stephen
Office: DTB-A436
Quadratic forms and forms of higher degree, projective homogeneous varieties, algebraic cycles, motives, Milnor K-theory.
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Professors emeritus

NameContactResearch interests
Leeming, David
Office: DTB-A553
Approximation theory, Euler and Bernoulli polynomials
Miller, Gary
Office: NA
Phillips, John
Office: DTB-A546
Operator algebras, operator theory.
Sourour, Ahmed
Office: DTB-A553
Functional analysis, operator theory, linear algebra.
Srivastava, Hari M.
Office: 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
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Adjuncts

NameContactResearch interests
Currie, James
Office: NA
Dejean's conjecture, Abelian patterns.
Moody, Robert
Office: NA
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
Buric,  Dina
Office: DTB-A455
Putnam
Haslehurst,  Mitchell
Office: DTB-A455
Putnam
Lee,  George  (Lee)
Office: DTB-A534
Quas
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Master's students

NameContactSupervisor
Acar,  Nazim
Office: DTB-A557
Bose
Goerke,  Gavin
Office: NA
Eagle, Laca
Grier,  Austin
Office: DTB-A434
Emerson
Hume,  Jeremy
Office: DTB-A418c
Putnam
Korfanty,  Emily
Office: DTB-A457
Putnam
Sohal,  Ranjit
Office: DTB-A557
Budney
Xiao,  Bo  (Ben)
Office: NA
Ray
Yu,  Tingzhou
Office: DTB-A418c
Ray
Zhu,  Guangzhao
Office: NA
Scully
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