Professor

Director of RTG: Algebraic Geometry and Topology at Utah

CV

**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, 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, to appear
*Ann. Sci. Ec. Norm. Super.* - (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, to appear
*J. Top. Anal.* - (with M. Bestvina and K. Fujiwara) Proper actions on finite products of quasi-trees, preprint 2019
- (with M. Bridgeman and J. Brock) The Weil-Petersson gradient flow of renormalized volume and 3-dimensional convex cores, preprint 2020
- (with M. Bridgeman) Strata separation and gradient estimates of length functions, preprint 2020

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

**Current Courses**

**Past Courses
**

**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

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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