Preprints 


(with Gabriele Viaggi) Small eigenvalues of random 3manifolds, arXiv:1903.08031. PDF 


Quotients of the orbifold fundamental group of strata of abelian differentials, preprint December 2018. PDF 


(with Sebastian Hensel) Geometry of the handlebody groups II: Dehn functions arXiv:1804.11133. PDF 


Typical and atypical properties of periodic Teichmüller geodesics,
arXiv:1409.5978, revised, July 2018. PDF 


Typical properties of periodic Teichmüller geodesics: Stretch factors,
revised, July 2018. PDF 


Typical properties of periodic Teichmüller geodesics: Lyapunov exponents,
revised, April 2018. PDF 


(with Hyungryul Baik, Ilya Gekhtman) The smallest positive eigenvalue of fibered hyperbolic 3manifolds, arXiv:1608.07609. PDF 


Counting periodic orbits in the thin part of strata,
preprint, January 2016. PDF 


Teichmueller flow and WeilPetersson flow
arXiv:1505.01113. PDF 


Spotted disk and sphere graphs,
arXiv:1101.1843, revised, March 2018. PDF 


The boundary of the free factor graph and the free
splitting graph
arXiv:1211.1630, revised, expanded and corrected version, August 2014. PDF 


Signatures of surface bundles and Milnor Wood inequalities
arXiv:1206.0236. PDF 


Symbolic dynamics for the Teichmueller flow
arXiv:1112.6107. PDF 


Reeb orbits, convexity and minimal discs
preprint, May 2010. PDF 


Geometry of the mapping class group II: A biautomatic structure
arXiv:0912.0137. PDF 


Geometry of the mapping class groups III: Quasiisometric rigidity
arXiv:math.GT/0512429, revised version, January 2007. PDF 


Word hyperbolic extensions of surface groups
arXiv:math.GT/0505244 . PDF 


Harmonic measures are product measures
preprint, September 2005. PDF 


An example for nonequivalence of symplectic capacities
preprint, October 2002. PDF 

Other writings 


Flache Flächen, unipotente Flüsse und eine kühne Vision: Das Werk von Maryam Mirzakhani und Marina Ratner Mitt. Dtsch. Math.Ver. 25 (2017), 154156. PDF 


Zooming in and out: The work of Maryam Mirzakhani
through the eyes of a geometer
Notices AMS, Nov. 2018 PDF 

Accepted 


Small eigenvalues and thickthin decomposition in negative curvature arXiv:1810.05242 to appear in Ann. Inst. Fourier PDF 

Published 

2019

Asymptotic dimension and the disk graph I,
Journal of Topology 12 (2019), 658673. PDF 


Asymptotic dimension and the disk graph II,
Journal of Topology 12 (2019), 674683. PDF 

2018

(with Hyungryul Baik, David Bauer, Ilya Gekhtman, Sebastian Hensel, Thorben Kastenholz, Bram Petri, Daniel Valenzuela) Exponential torsion homology growth for random 3manifolds, Int. Math. Res. Not. IMRN 2018, no. 21, 64976534. PDF 


Ergodicity of the absolute period foliation
Israel J. Math. 225 (2018), 661680. PDF 


(with Sebastian Hensel)
Stability in Outer space,
Groups, Geom. Dyn. 12 (2018), 359398. PDF 

2016

Hyperbolic relatively hyperbolic graphs and disk graphs,
Groups, Geom. Dyn. 10 (2016), 365405. PDF 

2015

Incompressible surfaces in rank one locally symmetric spaces,
Geom. Funct. Anal. 25 (2015), 815859. PDF 


(with Sebastian Hensel) Spheres and projections in Out(Fn)
Journal of Topology 8 (2015), 6592. PDF 

2014

Hyperbolicity of the graph of nonseparating multicurves
Alg. & Geom. Topol. 14 (2014), 17591778. PDF 


Lines of Minima in Outer space
Duke Math. J. 163 (2014), 733776. PDF 


Distance in the curve graph
Geom. Dedicata 168 (2014), 101112. PDF 

2013

Bowen's construction for the Teichmüller flow,
J. Mod. Dynamics 7 (2013), 489526. PDF 


Teichmüller theory
in "Moduli Spaces of Riemann Surfaces", B. Farb, R. Hain, E. Looijenga, Editors, AMS/PCMI, 2013, 45108. PDF 


(with Sebastian Hensel) Isoperimetric inequalities for
the handlebody groups,
Trans. Amer. Math. Soc. 365 (2013), 53135327. PDF 

2012

Isometry groups of proper CAT(0)spaces of rank one,
Groups, Geom. Dyn. 6 (2012), 579618. PDF 


(with Sebastian Hensel)
The geometry of the handlebody groups I: Distortion,
J. Topology & Analysis 4 (2012), 7197. PDF 

2011

(with Stefan Hainz)
Topological properties of
Reeb orbits on boundaries of starshaped domains in R^{4},
in "Low dimensional and symplectic topology", Michael Usher, Editor, Proceeding of Symposia in Pure Math. 82, AMS, Providence, Rhode Island 2011, 89111. PDF 


Actions of the mapping class group
in "Proceedings of the International Congress of Mathematicians". Volume II, 10021021, Hindustan Book Agency, New Delhi, 2010. 

2010

Dynamics of the Teichmueller flow on compact invariant sets
J. Mod. Dynamics 4 (2010), 393418. PDF 


Stability of quasigeodesics in Teichmueller space
Geom. Dedicata 146 (2010), 101116. PDF 


Dynamical properties of the WeilPetersson metric
"In the tradition of AhlforsBers,V" Contemporary Math. 510 (2010), 109127. PDF 

2009

Rankone isometries of proper CAT(0)spaces
"Discrete groups and geometric structures",K. Dekimple, P. Igodt, A. Valette, editors, Contemporary Math. 501 (2009), 4359. PDF 


Isometry groups of proper hyperbolic spaces
Geom. Funct. Anal. 19 (2009), 170205. PDF 


Bounded cohomology and cross ratios
in "Limits of graphs in group theory and computer science", G. Arzhantseva, A. Valette, editors, EPFL Lausanne Press (2009), 4157. PDF 


Invariant Radon measures on measured lamination space
Invent. Math. 176 (2009), 223273 the original article is available at Spingerlink 


Geometry of the mapping class groups I: Boundary amenability
Invent. Math. 175 (2009), 545609, the original article is available at Spingerlink 

2008

Equidistribution for quadratic differential
in "Groups and Analysis: The Legacy of Hermann Weyl", London Math. Soc. Lectures Notes 354, Cambridge University Press 2008, 116132. PDF 


Bounded cohomology and isometry groups of hyperbolic spaces J. Euro. Math. Soc. 10 (2008), 315349. PDF 

2007

Geometry of the complex of curves and of Teichmüller space
in "Handbook of Teichmueller Theory", Volume 1, A. Papadopoulos, ed., European Math. Soc. 2007, 447467. PDF 

2006

Geometric properties of the mapping class group
in "Problems on Mapping class groups" (B. Farb, ed.), Proceedings of Symposia in Pure Math. 74, AMS 2006, 215232. PDF 


Train tracks and the Gromov boundary of the complex of curves
in "Spaces of Kleinian groups" (Y. Minsky, M. Sakuma,C. Series, eds.), London Math. Soc. Lec. Notes 329, Cambridge University Press 2006, 187207. PDF 

2005

(with Karsten Fissmer)
Spectral convergence of manifold pairs
Comm. Math. Helv. 80 (2005), 725754. PDF 

2004

Small eigenvalues of geometrically finite manifolds
J. Geom. Anal. 14 (2004), 281290. PDF 

2003

Parametrizations of Teichmüller space and its Thurston boundary
in "Geometric analysis and nonlinear partial differential equations" (S. Hildebrandt, H. Karcher, eds.), Springer, Berlin 2003, 8188. J. Geom. Anal. 14 (2004), 281290. DVI 


Length functions and parameterizations of Teichmüller space for surfaces with cusps
Annales Acad. Scient. Fenn. 28 (2003), 7588. PS 

2002

(with Roman Koch)
Systoles of a family of triangle surfaces
Experimental Math. 11 (2002), 249270. Computerprogram "funda" to compute systoles of certain triangle surfaces (written by Roman Koch) tar.gz PS 


Ergodic properties of Gibbs measures on nilpotent covers
Erg. Th. & Dyn. Sys. 22 (2002), 11691179. PS 


Ergodic properties of function group
Geom. Dedicata 93 (2002), 163176. PS 

2001

New examples of maximal surfaces
L'Enseignement Math. 47 (2001), 65101. PS Addendum filling a gap pdf 

1999

Cocycles, symplectic structures and intersection
GAFA 9 (1999), 90140. PS 

1997

Harmonic measures for compact negatively curved manifolds
Acta Math. 178 (1997), 39107. 


Cocycles, Hausdorff measures and cross ratios
Erg. Th. Dyn. Sys. 17 (1997), 10611081. 

1996

Harmonic measures, Hausdorff measures and positive eigenfunctions
J. Diff. Geo. 44 (1996), 131. 

1995

Invariant twoforms for geodesic flows
Math. Annalen 301 (1995), 677698. 


Geometric and ergodic properties of the stable foliation
"Seminaire de theorie spectrale et geometrie", Institut Fourier,Grenoble 1996, 5562. 

1994

Regularity at infinity of compact negatively curved manifolds
Erg. Th. Dyn. Sys. 14 (1994), 493514. 


Harmonic measures for leafwise elliptic operators along
foliations
in "Proceedings of the first ECM", Birkhäuser 1994. 

1993

Regularity of time preserving conjugacies for contact Anosov
flows with R^{1} Anosov splitting
Erg. Th. Dyn. Sys. 13 (1993), 6572. 


Starrheitseigenschaften kompakter Mannigfaltigkeiten negativer
Krümmung
Jber. d. Dt. Math. Verein. 95 (1993), 4759. 


Manifolds of negative curvature} (with P. Eberlein and V. Schroeder)
Proceedings Symp. in Pure Math. 54 (1993), 179227. 

1992

Time preserving conjugacies of geodesic flows
Erg. Th. Dyn. Sys. 12 (1992), 6774. 

1991

Compact manifolds with 1/4 pinched negative curvature
in "Global Differential Geometry and Global Analysis", Proceedings, Berlin 1991, Springer LNM 1481, 7479. 


A geometric characterization of negatively curved locally
symmetric spaces,
J. Diff. Geom. 34 (1991), 193221. 

1990

Entropy rigidity of locally symmetric spaces of negative curvature
Ann. Math. 131 (1990), 3551. 


An explicit description of harmonic measure
Math. Zeitschrift 205 (1990), 287299. 


Some regularity theorems for Carnot Caratheodory metrics
J. Diff. Geo. 32 (1990), 819850. 

1989

A new description of the Bowen Margulis measure
Erg. Th. Dyn Sys. 9 (1989), 455464. 

1987

Zur Theorie der CarnotCaratheodory Metriken und ihren Anwendungen
Bonner Math. Schriften 180 (1987). 
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