Department of Mathematics
University of Virginia
Charlottesville, VA 22904-4137
E-mail: ![]()
Appointments:
2003-present Associate
Professor,
Jan.-July 2004 Microsoft
Research, Theory Group, Redmond
2001-2003 Assistant
Professor, University of Virginia
1999-2001 Gibbs
Instructor, Yale University
1998/99 Member,
Institute for Advanced Study, Princeton
1997/98 Member,
Max Planck Institute, Bonn, Germany
1996/97 Visiting
Research Instructor, Michigan State University
Jan.-July 1995 Member,
IHES, Bures-sur-Yvette, France
Short term visiting positions
August 2002 MSRI
July-August 2001 Visiting
Scholar, UC Berkeley
April-May 1999 Visiting
Scholar,
Education
1996 Ph.D. in Mathematics,
Thesis: On the Relative Slice Problem and 4-Dimensional
Topological Surgery
Thesis advisor: Michael Freedman
1988-1991 undergraduate study:
Research Interests
Topology and Geometry of 4-Manifolds; Geometric Topology
Quantum Topology, Geometric Group Theory, Hyperbolic
geometry.
Awards and Fellowships
2007-08 P.I. for NSF grant “New topological structures in condensed matter physics”
2006-10 P.I. for NSF grant “Surfaces and 4-manifolds”
2003-06 P.I.
for NSF grant “Classification theory of 4-manifolds”
2004 P.I.
for NSF grant “Conference on low-dimensional topology”
2004-05
2000-03 P.I.
for NSF grant “Topology of 4-manifolds”
1997/98 Fellowship
from the European Post-Doctoral Institute for Math Sciences
1994/95 Sloan
Doctoral Dissertation Fellowship
1993/94 Hepps Graduate Fellowship
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