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
  
• 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
  
• 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, Amer. J. of Math. (135) 2013, 1449-1476
  
• (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, Publ. Math. I.H.É.S. (122) 2015, 1-64
• (with J. Brock, R. Canary and Y. Minsky) Convergence properties of ending-invariants, Geometry and Topology (17) 2013, 2877-2922
• (with M. Bestvina and K. Fujiwara) Bounded cohomology with coefficients in uniformly convex Banach spaces, Comm. Math. Helv. (91) 2016, 203-218
  
• (with M. Bestvina and K. Fujiwara) Stable commutator length on mapping class groups, Ann. d. l'Inst. Fourier (66) 2016, 649-674
  
• (with J. Brock, R. Canary and C. Lecuire) Convergence and divergence of Kleinian surface groups, J. of Topology (4) 2015, 811-841
• (with J. Brock) Inflexibility, Weil-Petersson distance, and volumes of fibered 3-manifolds, Math. Res. Lett. (23) 2016, 649-674
• (with J. Brock) Geometric inflexibility of hyperbolic cone-manifolds, Proceedings of the 2014 MSJ-SI
• (with M. Bestvina) On the asymptotic dimension of the curve complex, Geometry and Topology (23) 2019, 2227-2276
• (with J. Brock, R. Canary and Y. Minsky) Windows, cores and skinning maps, Ann. Sci. Ec. Norm. Super. (53) 2020, 173-216
• (with M. Bestvina, A. Kent and C. Leininger) Undistorted purely pseudo-Anosov groups, J. Reine Angew. Math. (760) 2020, 213-227
• (with M. Bestvina and K. Fujiwara) The verbal width of acylindrically hyperbolic groups is infinite, Alg. Geom. Top. (19) 2019, 477-489
• (with M. Bridgeman and J. Brock) Schwarzian derivatives, projective structures, and the Weil-Petersson gradient flow for renormalized volume, Duke Math. J. (168) 2019, 867-896
• (with J. Brock, R. Canary, C. Lecuire and Y. Minsky) Local topology in deformation spaces of hyperbolic 3-manifolds II, Groups, Geometry and Dynamics (13) 2019, 767-793
• (with M. Bestvina, K. Fujiwara and A. Sisto) Acylindrical actions on projections complexes, Enseign. Math. (65) 2020, 1-32
• (with A. Kent and Y. Minsky) Skinning bounds along thick rays, J. Top. Anal. (13) 2021, 591-605
• (with M. Bestvina and K. Fujiwara) Proper actions on finite products of quasi-trees, Ann. Henri Lesbegue (4) 2021, 685-709
• (with M. Bridgeman and J. Brock) The Weil-Petersson gradient flow of renormalized volume and 3-dimensional convex cores, Geometry and Topology (27) 2023, 3183-3228
• (with M. Bridgeman) Strata separation and gradient estimates of length functions, J. Top. Anal. (16) 2024, 227-259
• (with M. Bridgeman and F. Vargas Pallete) The Weil-Petersson gradient flow of renormalized volume on a Bers slice has a global attracting fixed point, Comp. Math. (159) 2023, 830-859
• (with M. Bridgeman) L²-bounds for drilling short geodesics in convex co-compact hyperbolic 3-manifolds, to appear Adv. Math.
• (with M. Bridgeman) A bound on the L²-norm of a projective structure by the length of the bending lamination, preprint 2022
• (with M. Bridgeman) Variation of holonomy for projective structures and an application to drilling hyperbolic 3-manifolds, to appear Geometriae Dedicata
• (with M. Bridgeman, F. Vargas Pallete and Y. Wang) Universal Liouville action as a renormalized volume and its gradient flow, preprint 2023
• (with M. Bridgeman) Epstein Surfaces,W-Volume, and the Osgood-Stowe Differential, preprint 2024

Conferences and seminars

In and Around Hyperbolic Geometry

Aspects of Non-Positive and Negative Curvature in Group Theory

Rigidity Phenomena via Ergodic Theory

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

Past Courses

• Spring 2020: Math 5520 - Introduction to Topology II
• Fall 2019: Math 1100 - Business Calculus
• Spring 2019: Math 6520 - Algebraic Topology
• Fall 2018: Hyperbolic geometry and related topics (at Yale)
• Spring 2018: Math 3210 - Foundations of Analysis
• Spring 2018: Math 5520 - Introduction to Topology II
• Fall 2017: Math 7853 - Mapping Class Groups and Related Topics
• Spring 2016: Math 7853 - Hyperbolic Geometry in Dimensions 2 and 3
• Fall 2015: Math 3210 - Foundations of Analysis
• Fall 2015: Math 5510 - Introduction to Topology and Geometry
• Fall 2014: Math 6510 - Differentiable Manifolds
  
• Fall 2013: Math 6510 - Differentiable Manifolds
  
• Spring 2013: Math 3210 - Foundations Analysis
  
• 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: [email protected]
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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