Bruce Hughes
Professor of
Mathematics
Photo
Department of Mathematics
Vanderbilt University, Nashville, TN 37240
Office: Stevenson Center 1528
Phone: (615) 322-6660
Email: 
bruce
DOT hughes AT vanderbilt
DOT edu
Fax: (615) 343-0215
Office Hours: Spring 2008 MWR 3:10 -4:00
Workshop on Nil Phenomena in Topology, Vanderbilt University, 14-15 April 2007
Research Group in Noncommutative Geometry and Operator Algebras at Vanderbilt
Topology
& Group Theory Seminar,
Noncommutative Geometry & Operator Algebras Seminar,
Research Interests: Geometric and Algebraic Topology, Manifold Theory, Controlled Topology, Stratified Spaces, Continua Theory, Metric Spaces, Noncommutative Geometry
Preprints:
- Trees, ultrametrics, and noncommutative geometry. Revised June 2007, 60 pages, PDF
- Local similarities and the Haagerup property (with an appendix by D. S. Farley). December 2007, 18 pages, PDF
Books:
- Ends
of Complexes (with Andrew Ranicki).
Cambridge Tracts in Mathematics 123, Cambridge Univ. Press, Cambridge,
1996, xxvi+353 pages.
Introduction (PDF) Errata (PDF) Geoghegan's Mathematical Reviews review (PDF) Munkholm's Zentralblatt review (PDF)
- Control
and Relaxation over the Circle (with Stratos
Prassidis). Memoirs of the American Mathematical
Society, Volume 145, number 691, May 2000, ix+96 pages.
Ranicki's Mathematical Reviews review (PDF)
Ten Recent Publications:
- Examples of exotic stratifications (with L. Taylor, S. Weinberger and B. Williams), Geometry & Topology, (vol. 11, pp. 1477-1505, 2007); PDF
- Trees and ultrametric spaces: a categorical equivalence, Advances in Mathematics, (vol. 189, pp. 148-191, 2004); PDF, Figures, ScienceDirect Link
- Neighborhoods of strata in manifold stratified spaces, Glasgow Mathematical Journal (vol. 46, pp. 1-28, 2004); PDF
- The approximate tubular neighborhood theorem, Annals of Mathematics (vol. 156, pp. 867-889, November 2002); PDF
- Products and adjunctions of manifold stratified spaces, Topology and its Applications (vol. 124, pp 47-67, October 2002); ScienceDirect Link
- Neighborhoods in stratified spaces with two strata (with L. Taylor, S. Weinberger and B. Williams), Topology 39 (2000), 873-919; ScienceDirect Link
- Surgery and stratified spaces (with S. Weinberger), in Surveys on Surgery Theory (S. Cappell, A. Ranicki and J. Rosenberg, eds.), vol. 2, Princeton Univ. Press, Princeton, 2000, pp. 311-342; PDF
- Controlled homeomorphisms over nonpositively curved manifolds (with L. Taylor and B. Williams), Canadian Mathematical Bulletin; PDF
- Stratifications of teardrops, Fundamenta Mathematicae (vol. 94, pp.305-324, 1999).
- Stratifications of mapping cylinders, Topology and its Applications 94 (1999), 127-145; ScienceDirectLink
Collaborators:
- Dan Farley
- Qayum Khan
- Stratos Prassidis
- Andrew Ranicki
- Larry Taylor
- Shmuel Weinberger
- Bruce Williams
Fall 2007
Course
Math 205a:
Multivariable Calculus and Linear Algebra
Spring 2008 Courses
Updated 2 January 2008