#### 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 |

Bachmann, Sven | Mathematics and statistics; 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 | Algebraic and differential geometry; Algebraic geometry, moduli spaces, enumerative invariants related to theoretical physics. |

Cautis, Sabin | Mathematics and statistics; 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 | Mathematical biology; Cellular immunology; Complex physical systems; Epidemiology (except nutritional and veterinary epidemiology); Cell Signaling and Infectious and Immune Diseases; Cell biophysics; Disease models; Epidemiology; Immune cell signalling; Mathematics |

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

Dao Duc, Khanh | Genomics; Mathematical biology; Neurocognitive patterns and neural networks; Agricultural spatial analysis and modelling; combine mathematical,computational and statistical tools to study fundamental biological processes; regulation and determinants of gene expression and translation; Machine Learning for Biological Imaging and Microscopy; Database development and management; Biological and Artificial Neural Networks for geometric representation |

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

Feng, James | Chemical engineering; Mathematics and statistics; Biophysics; Complex fluids; Fluid mechanics; 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) |

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

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

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

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

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

Holmes-Cerfon, Miranda | Mathematical modelling and simulation; Computational methods in statistics; Numerical analysis; Thermodynamics and statistical physics |

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. |

Madzwamuse, Anotida | |

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

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 | Group theory and generalisations; Algebra; Algebraic groups; algebraic geometry |

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

Shmerkin, Pablo | |

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

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

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