# Mathematics

### Faculty Members

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 |

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 |

Feldman, Joel | Mathematical Analysis, 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 |

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 | 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 |

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; |

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 |

Robeva, Elina | Mathematical statistics, Machine Learning, Combinatorics, Multilinear algebra, Applied algebraic geometry, Shape-constrained density estimation, Model equivalence for Gaussian graphical models, Tensor networks, Structured tensor decomposition |

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 |