Kenneth Bromberg
Professor

Research Interests

Hyperbolic 3-manifolds

Publications/Preprints (most of which can be downloaded here)

• (with J. Holt) Self-bumping of deformation space of hyperbolic 3-manifolds, J. Diff. Geom. (57) 2001, 47-65
• Rigidity of geometrically finite hyperbolic cone-manifolds, Geometriae Dedicata (105) 2004, 143-170
  
• Hyperbolic Dehn surgery on geometrically infinite 3-manifolds, preprint 2000
  
• Projective structures with degenerate holonomy and the Bers' density conjecture, Annals of Math. (166) 2007, 77-93
  
• Hyperbolic cone-manifolds, short geodesics and Schwarzian derivatives, J. Amer. Math. Soc. (17) 2004, 783-826
  
• (with J. Brock, R. Evans and J. Souto) Tameness on the boundary and Ahlfors’ measure conjecture, Publ. Math. I.H.É.S. (98) 2003, 145-166
  
• (with J. Brock) Cone-manifolds and the density conjecture, In Kleinian Groups and Hyperbolic 3-Manifolds, London Mathematical Society Lecture Notes, Cambridge University Press, 2003
• (with J. Brock) On the density of geometrically finite hyperbolic 3-manifolds, Acta Math. (192) 2004, 33-93
  
• (with J. Holt) Bumping of exotic projective structures, in preparation
• The space of Kleinian punctured torus groups is not locally connected, Duke Math. J. (156) 2011, 387-427
  
• (with J. Brock) Geometric inflexibility and 3-manifolds that fiber over the circle, J. of  Topology (4) 2011, 1-38
  
• Drilling short geodesics in hyperbolic 3-manifolds, In Spaces of Kleinian Groups, London Mathematical Society Lecture Notes, Cambridge University Press, 2006
  
• (with J. Souto), The density conjecture: A prehistoric approach, in preparation
• Drilling long geodesics in hyperbolics 3-manifolds, preprint 2006
• (with M. Bestvina, K. Fujiwara and J. Souto) Shearing coordinates and convexity of length functions on Teichmüller space, preprint 2009
  
• (with J. Brock, R. Canary and Y. Minsky) Local topology in deformation spaces of hyperbolic 3-manifolds, Geometry and Topology (15) 2011, 1169-1224
  
• (with M. Bestvina and K. Fujiwara) Constructing group actions on quasi-trees and applications to mapping class groups, preprint 2010
• (with J. Brock, R. Canary and Y. Minsky) Convergence properties of ending-invariants, preprint 2012
  

Conferences and seminars

KerckhoffFEST - Rigidity and Flexibility in Dimensions 2, 3 and 4

FRG with Brock, Canary and Minsky

FRG Conference - Geometry and Dynamics in Surfaces and 3-Manifolds II

MSRI mini-course

Max Dehn Seminar

Wasatch Topology Conference

Current Courses

• Spring 2013: Math 3210 - Foundations Analysis
  

Past Courses

• Fall 2012: Math 1100 - Quantative Analysis
  
• Spring 2012: Math 7853 - Topics in Teichmüller theory
  
• Fall 2011: Math 1100 - Quantative Analysis
  
• Spring 2011: Math 6220 - Complex Analysis
• Fall 2010: Math 1100 - Quantative Analysis
  
• Fall 2010: Math 6210 - Real Analysis
• Spring 2009: Math 1060 - Trigonometry
• Spring 2009: Math 6220 - Complex Analysis
• Fall 2008: Math 7853 - The Weil-Petersson metric on Teichmüller and moduli space
• Spring 2008: Math 5210 - Introduction to Real Analysis
• Spring 2008: Math 6520 - Introduction to Algebraic Topology
  
• Spring 2007: Math 3210 - Foundations of Analysis
• Spring 2007: Math 6220 - Complex Analysis
• Fall 2006: Math 7853 - Topics in Topology
  
• Spring 2006: Math 7853 - Topics in Topology
• Fall 2005: Math 6210 - Real Analysis
• Fall 2004: Math 6510 - Differentiable Manifolds
• Spring 2004: Math 6520 - Introduction to Algebraic Topology
• Fall 2003: Math 7853 - Topics in Topology

Contact Information

Office: JWB 303
Phone: (801) 581-7916
Fax: (801) 581-4148
E-mail: bromberg@math.utah.edu
Mailing address:
    Department of Mathematics
    University of Utah
    155 S 1400 E, JWB 233
    Salt Lake City, UT 84112

Click here to get a listing of K. Bromberg's papers from the AMS MathSciNet with links to Mathematical Reviews.
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