#### 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 | Algebraic and differential geometry; 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 |

Dao Duc, Khanh | combine mathematical,computational and statistical tools to study fundamental biological processes; regulation and determinants of gene expression and translation |

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 |

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 |

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 |

Hermon, Jonathan | probability theory; Markov chains and the cutoff phenomenon; particle systems; percolation |

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 | Mathematical optimization; Calculus of Variations; Optimal Control; optimization; Machine Learning |

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 |

Murugan, Mathav | probability theory and analysis; relationship between behavior of Markov processes and the geometry of the underlying state space; Sandpile models; boundary theory; potential theory; quasiconformal mappings; Metric geometry |

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; |

Ortner, Christoph | Numerical analysis; Mathematical modelling and simulation; Partial and ordinary differential equations; Computational chemistry; Condensed matter modelling and density functional theory; Numerical modelling and mechanical characterisation; Numerical Analysis & Scientific Computing; Applied Analysis; Multi-scale Modelling and Coarse-graining; Molecular Simulation; Scientific Machine-learning, in particular for applications in multi-scale modelling |

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

Picard, Sebastien | Differential geometry |

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 |

Robeva, Elina | Statistical theory and modeling; Machine learning; Algebra; Algebraic statistics; Graphical Models; Tensor decomposition; Causality; Applied algebraic geometry; Shape-constrained density estimation; Tensor networks |

Schiebinger, Geoffrey | Applied & Theoretical Statistics; data science; Machine Learning; Theory of Statistics; Measurement technologies; Single-cell RNA sequencing; Genetics; Genome Sciences; Computational Genomics; Models Inference and Algorithms |

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