# Research

For details of faculty research refer to the group pages above.

Name | Research Area |
---|---|

Uday Banerjee | Generalized finite element methods, elliptic PDE |

Pinyuen Chen | Statistical signal processing, ranking and selection theory |

Dan Coman | Complex analysis, pluripotential theory, dynamics |

J. Theodore Cox | Probability, interacting particle systems |

Steven Diaz | Algebraic geometry of curve families |

Helen Doerr | Secondary mathematics education, teacher learning |

Jack Graver | Combinatorics, graph theory |

Philip Griffin | Stochastic processes, mathematical finance |

Peter Horn | Low-dimensional topology, knot theory |

Tadeusz Iwaniec | Harmonic analysis, elliptic PDE |

Hyune-Ju Kim | Statistics, change-point problems, regression model selection |

Mark Kleiner | Representations of finite dimensional algebras |

Leonid Kovalev | Geometric mapping theory, metric spaces |

Loredana Lanzani | Harmonic analysis, PDE, complex analysis |

Graham Leuschke | Commutative algebra, non-commutative algebraic geometry |

Adam Lutoborski | Variational problems, optimization on matrix manifolds |

Joanna Masingila | Out-of-school mathematics practice, teacher development |

Terry McConnell | Martingales, Banach spaces, potential theory |

Claudia Miller | Commutative algebra, connections with algebraic geometry |

Jani Onninen | Nonlinear analysis, geometric function theory |

Eugene Poletsky | Complex analysis, pluripotential theory |

Declan Quinn | Noncommutative rings, Galois theory, Hopf algebras |

Lixin Shen | Applied harmonic analysis, wavelets, image processing |

John Ucci | Topological K-theory, homotopy theory |

Gregory Verchota | Singular integrals, elliptic PDE in nonsmooth domains |

Andrew Vogel | Elliptic PDE in nonsmooth domains |

William Volterman | Nonparametric analysis, order statistics |

Stephan Wehrli | Low-dimensional topology, knots and links |

William Wylie | Riemannian geometry, geometric analysis |

Yuan Yuan | Complex geometry and several complex variables |

Dan Zacharia | Homological algebra, representations of algebras |

### Postdocs

Name | Research Area |
---|---|

Turgay Bayraktar | Holomorphic dynamics and complex geometry |

Margaret Doig | Heegaard Floer homology in low-dimensional topology |

Qi Ye | Kernel-based methods in machine learning, image processing |

Denise Rangel Tracy | Totally reflexive modules in commutative algebra |

Dmytro Yeroshkin | Differential geometry of positively curved orbifolds |

### Recently retired

Name | Research Area |
---|---|

Douglas Anderson | Topology, algebraic K-theory |

Wu-Teh Hsiang | Differential geometry, Lie groups |

Mark Watkins | Graph theory, infinite graphs |

Yuesheng Xu | Computational mathematics, signal and image processing |