Student | Thesis title | Year | |
---|---|---|---|

Ser-Peow Tan | Geometric structures and representations of surface groups into PSL(2,R) | UCLA, 1988 (coadvised with John Millson) | |

Todd A. Drumm | Fundamental polyhedra for Margulis space-times | 1990 | |

Mark B. Phillips | Dirichlet polyhedra in complex hyperbolic space | 1990 | |

Robert R. Miner | Affine manifolds with dilations | 1991 | |

Bernhard P. Leeb | 3-manifolds with(out) metrics of nonpositive curvature | 1992 | |

Shigeru Takamura | Deformations of complex surfaces | 1994 | |

Richard J. Brown | Mapping class actions on the SU(2)-representation varieties of compact surfaces | 1996 | |

Po-Hsun Hsieh | Submanifolds of Kaehler Manifolds and their Normal Bundles | 1997 | |

Eugene Z. Xia | Moduli of Flat PGL(2,R)-bundles on Riemann surfaces | 1997 | |

Igor Belegradek | Counting negatively curved manifolds | 1998 | |

Hong Chan Kim | The symplectic structure on the moduli space of Real Projective Structures | 1999 | |

Virginie Charette | Proper actions on Minkowski (2+1)-space | 2000 | |

Justin Wyss-Gallifent | Discreteness of groups acting on complex hyperbolic space | 2000 (coadvised with Richard Schwartz) | |

Adam Sikora | 3-Manifolds, Group Actions, and Character Varieties | 2000 | |

Ilya Kofman | Vasilliev invariants of knots and links in S^3 and other 3-manifolds | 2000 | |

Lawrence Triplett | Cycic groups and Complex Hyperbolic Space | 2001 | |

George Stantchev | Action of the modular group on GL(2,R)-characters on a once-punctured torus | 2003 | |

Cathy Jones | Pyramids of properness: Towards the Properness Conjecture | 2003 | |

Sean Lawton | SL (3,C)-Character Varieties and RP2-Structures on a Trinion | 2006 | |

Elisha Peterson | Trace Diagrams, Representations, and Low-Dimensional Topology | 2006 | |

Taejung Kim | An Investigation on Holomorphic Vector Bundles and Krichever-Lax Matrices Over An Algebraic Curve | 2007 (coadvised with Niranjan Ramachandran) | |

Anton Lukyanenko | Real projective triangle tesselations | M.A. 2008 | |

Robert Delgado | Density properties of PSL(2,R)-representations of genus two surface groups | 2009 | |

Ryan Hoban | Deformations of triangle groups in Sp(4,R) | 2009 | |

Jeffrey Frazier | Length Spectral Rigidity of Non-Positively Curved Surfaces | 2012 | |

Weiqiang Wu | Embedded Spheres in Affine Manifolds | 2012 | |

Andy Sanders | Minimal Surfaces, Hyperbolic 3-Manifolds, and Related Deformation Spaces | 2013 | |

Son Lam Ho | On conformally flat circle bundles over surfaces | 2014 | |

Gregory Laun | Fundamental domains for proper affine actions of Coxeter groups in three dimensions | 2016 | |

Jean-Philippe Burelle | Generalizations of Schottky groups | 2017 | |

Charles Daly | Affine manifolds with an invariant line | 2021 | |

Nakyung (Rachel) Lee | Conformally flat Lorentzian 3-manifolds with unipotent holonomy | 2023 (coadvised with Karin Melnick) | |