Areas of Interest
Topology and differential geometry
Research
Differential topology, in particular on classifying manifolds of a given homotopy type. Related research interests in geometry and algebra. These interests include the study of discrete subgroups of Lie groups and algebraic K-theory.
Ph.D. Students
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Mauricio Bustamante,
Spring, 2016
(Co-advisor:
Pedro Ontaneda)
— On the topology of the space of pinched negatively curved metrics with finite volume and identical ends
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Gangotryi Sorcar,
Spring, 2015
— Non Triviality of the Fundamental Group of the Teichmuler Space of Negatively Curved Metrics of a Non-Locally Symmetric Negatively Curved Manifold
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Xiaolei Wu,
Spring, 2014
— Farrell-Jones Conjecture for the Solvable Baumslag-Solitar Groups
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Silvia Millan-Vossler,
Spring, 2008
— The Whitehead Group and the Lower Algebraic K-Theory of Braid Groups on S2 and RP2
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Silvia Millan-Vossler,
Spring, 2008
— The Whitehead Group and the Lower Algebraic K-Theory of Braid Groups on S2 and RP2
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Ivonne Ortiz,
Spring, 2003
— The Lower Algebraic K-theory of Gamma_3
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Sergio Ardanza-Trevijano,
Summer, 2000
— Exotic Smooth Structures on Non-Locally Symetric Negatively Curved Manifolds
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Ranja Roy,
Spring, 1998
— Integrality Questions for Virtual Signature
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Shashidhar Upadhyay,
Spring, 1997
— Bounding Questions for Almost Flat Manifolds
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Victor Brunsden,
Summer, 1995
— Cohomology, Local Rigidity, and Fixed Points
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Boris Okun,
Fall, 1994
— Non-zero degree tangential maps between dual symmetric spaces
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