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 |
| 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. |
| Sodhi, Asmita | Office:
DTB-A451 | Math education and outreach. Algebraic number theory. |
Professors emeritus
| Name | Contact | Research 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 |
Adjuncts
| Name | Contact | Research interests |
| Currie, James | Office:
NA | Dejean's conjecture, Abelian patterns. |
| Nicas, Andrew | Office:
NA | Geometry and topology |
Postdoctoral fellows
| Name | Contact | Supervisor |
| Krishnan, Kesav | Office:
DTB-A437 | Ray |
| Luo, Yanwen | Office:
DTB-A546 | Budney |
| Zemkova, Kristyna | Office:
DTB-A453 | Scully |
PhD students
| Name | Contact | Supervisor |
| Bagchi, Swarnadeep | Office:
DTB-A518 | Ray |
| Goerke, Gavin | Office:
DTB-A527 | Laca |
| Ranu, Arantha | Office:
DTB-A455 | Quas |
| Schulz, Tyler | Office:
DTB-A455 | Laca |
| Steed, Brendan | Office:
DTB-A518 | Emerson |
Master's students
| Name | Contact | Supervisor |
| Butler, Nathaniel | Office:
NA | Ray |
| Quigley, Khai | Office:
DTB-A557 | Scully |
| Sheffar, Dayten | Office:
NA | Budney |