#### Mathematics

Master of Science

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- Department of Mathematics

The Department of Mathematics at UBC is one of the very strongest mathematics departments in Canada. Our international reputation for excellence is not only well-established, but also rising during this exciting expansion period of our research and training programs.

Research interests in the department cover a strikingly broad array of areas, with our recent department review citing an excellent balance of pure and applied mathematics. The areas include Algebraic Geometry, Algebraic Topology, Asymptotic Analysis, Combinatorics, Differential Geometry, Dynamical Systems, Fluid Mechanics, Geometric Topology, Graph Theory, Harmonic Analysis, Industrial Applied Mathematics, Information Theory, Mathematical Biology, Mathematical Finance, Mathematical Modelling, Mathematical Physics, Number Theory, Numerical Analysis, Optimization, Partial Differential Equations, and Probability Theory. Faculty, postdocs, visitors, grad students, and undergraduates all contribute to the vibrant research community in UBC math.

Name | Research Interests |
---|---|

Adem, Alejandro | Cohomology of finite groups, orbifolds, stringy topology, algebra, sporadic simple group, group actions, arithmetic groups, K-theory, homotopy theory, spaces of homomorphisms |

Angel, Omer | Probability theory, percolation, random graphs, random walks, particle processes, scaling limits |

Anstee, Richard | Discrete Mathematics, Extremal Set Theory, Graph Theory, Matching Theory |

Bachmann, Sven | Mathematical Analysis, Quantum Phenomena, Mathematical physics, Quantum statistical physics, Topological states of matter |

Balmforth, Neil | Fluid mechanics, nonlinear dynamics and applied partial differential equations |

Behrend, Kai | Moduli spaces, Gromov-Witten invariants, string theory, Donaldson-Thomas invariants, Euler characteristics, categorification |

Bennett, Michael | Number Theory, Diophantine Approximation and Classical Analysis |

Bryan, Jim | Quantum invariants |

Cautis, Sabin | Geometry |

Chau, Albert | Differential Geometry and Partial Differential Equations |

Chen, Jingyi | Differential geometry , partial differential equations |

Colliander, James | hamiltonian dynamical systems; partial differential equations; harmonic analysis |

Coombs, Daniel | Cell Signaling and Infectious and Immune Diseases, Mathematics, Epidemiology, Mathematical biology, Cell biophysics, Immune cell signalling, Disease models |

Cytrynbaum, Eric | Bacterial cell division, Microtubule and cellular organization, Wave propagation in excitable media |

Doebeli, Michael Walter | Mathematical ecology and evolution, evolution of diversity, adaptive speciation, evolution of cooperation, game theory, experimental evolution in microorganisms |

Edelstein-Keshet, Leah | Mathematics, Modelization and Simulation, Cell Signaling, Cell Signaling and Cancer, Differential Equation, cell polarity, cell migration, developmental and cellular biology, swarming and aggregation, Rho GTPases |

Feldman, Joel | Constructive Quantum Field Theory |

Feng, James Jingtao | Fluid Mechanics, Complex fluids, Biophysics, Mathematical biology |

Fraser, Ailana | Differential Geometry, Geometric Analysis |

Friedlander, Michael | numerical optimization, numerical linear algebra, scientific computing, Scientific computing |

Friedman, Joel | Computer Science Theory, Algebraic Graph Theory, Combinatorics |

Frigaard, Ian | Fluid mechanics (visco-plastic fluids) |

Froese, Richard Gerd | Mathematics, Mathematical Physics, quantum mechanics, spectral theory, scattering theory |

Ghioca, Dragos | Drinfeld modules, isotrivial semiabelian varieties, Lehmer inequality |

Ghoussoub, Nassif | Mathematical sciences, R&Ed policies, developing science in Africa, Non-linear analysis and partial differential equations |

Gordon, Julia Yulia | Representation theory of p-adic groups and motivic integration; Trace Formula and its applications |

Gustafson, Stephen James | Mathematical Analysis, Differential Equation, Global and Non-Linear Analysis, Mathematical physics, Nonlinear partial differential equations, Topological solitons, Nonlinear waves |

Hauert, Christoph | Modelization and Simulation, Evolution and Phylogenesis, Biological Behavior, evolution, game theory, social dilemmas, dynamical systems, stochastic processes |

Karu, Kalle | Algebraic geometry, toric varieties, log geometry, combinatorics of fans and posets |

Kim, Young-Heon | Partial Differential Equations and Geometry |

Laba, Izabella | Harmonic analysis, geometric measure theory and additive combinatorics |

Li, Yue-Xian | Calcium signalling in neuroendocrine cells Fertilization calcium waves in oocytes |

Loewen, Philip | Mathematics, Calculus of Variations |

Macdonald, Colin | List of publications; The Closest Point Method: a new method for PDEs on surfaces; Time-stepping for PDEs: constructing Runge-Kutta methods, strong-stability-preserving methods (visit the SSP Site); WENO spatial discretizations; The Predicted Sequential Regularization Method; List of talks and presentations. |

Marcus, Brian Harry | Coding and information theory, symbolic dynamics, ergodic theory and dynamical systems |

Martin, Gregory | Number theory, Diophantine Approximation and Classical Analysis |

Nagata, K Wayne | Nonlinear dynamics and applied partial differential equations |

Ollivier, Rachel | Langlands Programme, a central theme in pure mathematics which predicts deep connections between number theory and representation theory; |

Peirce, Anthony | Scientific computing, nonlinear dynamics and applied partial differential equations |

Perkins, Edwin | Probability |

Plan, Yaniv | applied probability, high-dimensional inference, random matrix theory, compressive sensing, and matrix completion. |

Pramanik, Malabika | Harmonic analysis, partial differential equations, several complex variables |

Ramdorai, Sujatha | Algebraic theory of quadratic forms, non-cummutative Iwasawa theory, motives |

Rechnitzer, Andrew | Enumerative combinatorics, Simulation of combinatorial objects, Lattice statistical mechanics |

Reichstein, Zinovy | Algebra, algebraic geometry, algebraic groups |

Schotzau, Dominik | Numerical methods for partial defferential equations, finite element methods, discontinuous Galerkin methods, scientific computing |

Silberman, Lior | Mathematics, Metric geometry, Number theory, Automorphic forms, Analysis on manifolds, Topology, Homogenous dynamics, Representation Theory, Group Theory |

Slade, Gordon | Renormalisation, Lace explansion, self-avoiding walk, scaling limits |

Solymosi, Jozsef | Additive Combinatorics, Discrete and Computational Geometry, Graph theory, and Combinatorial Number Theory |

Tsai, Tai-Peng | Differential equations and mathematical physics |