(original) (raw)
Bruce Hughes
Professor of Mathematics Photo
Vanderbilt University
,
Nashville, TN 37240
Office:
Stevenson Center
1528
Phone: (615) 322-6660
Email: bruce DOT hughes AT vanderbilt DOT edu
Office Hours: Fall 2010 TBA
Research Interests: Geometric and Algebraic Topology, Manifold Theory, Controlled Topology, Stratified Spaces, Continua Theory, Metric Spaces, Noncommutative Geometry, Geometric Group Theory
Preprints:
- Trees,ultrametrics, and noncommutative geometry. Pure and Applied Mathematical Quarterly (to appear), 60 pages, PDF, arXive
- Dihedral manifold approximate fibrations over the circle (with Qayum Khan). Geometrae Dedicata (to appear), 38 pages, PDF, arXive
- Bounded distortion homeomorphisms on ultrametric spaces (with �lvaro Mart�nez-P�rez and Manuel A. Mor�n). Annales Academiae Scientiarum Fennicae Mathematica (to appear), 20 pages, PDF, arXive
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 Selected Publications:
- Local similarities and the Haagerup property (with an appendix by D. S. Farley). Groups, Geometry, Dynamics, , PDF
- 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).
Collaborators:
- Dan Farley
- Rudy Gordh
- Qayum Khan
- �lvaro Mart�nez-P�rez
- Manuel A. Mor�n
- Stratos Prassidis
- Andrew Ranicki
- Larry Taylor
- Shmuel Weinberger
- Bruce Williams
Links:
- Topology & Group Theory Seminar, Vanderbilt University
- Workshop on Nil Phenomena in Topology, Vanderbilt University, 14-15 April 2007
- Research Group in Noncommutative Geometry and Operator Algebras at Vanderbilt
Courses:
- Math 205a: Multivariable Calculus and Linear Algebra
- Math 205b: Multivariable Calculus and Linear Algebra
- Math 242: Introduction to Topology
- Math 312: Algebraic Topology
Updated 31 May 2010