# Mathematics

### Explore our Programs in Mathematics

### Faculty Members in Mathematics

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 |