Institut de Recherche Mathématique Avancée, Université de Strasbourg, 7 rue René Descartes, F- 67084 Strasbourg, France 

email :

tel 00 33 (0)3 88 75 16 16 (home) 

00 33 (0)3 68 85 01 32 (office) 

fax 00 3 (0)33 68 85 03 28


Research interests:

Riemann surfaces and Teichmüller spaces, mapping class groups, hyperbolic geometry, low-dimensional topology, dynamical systems, hyperbolic groups, ergodic theory (discrete Laplacian, etc.), complex analysis, Finsler geometry,  history and mathematics applied to music theory.


I have about 110 published papers and 9 books, and I am the editor of several books.
Most of my papers are on Topology and Geometry, and some of them are on Mathematics and Music.

I believe that mathematics finds some of its most beautiful applications in music theory.


Some of my papers are on the French server HAL

Three reviews of My book  Metric Spaces, Convexity and Non-positive Curvature

by S. Semmes in the Bull. Amer. Math. Soc. 43 (2006), 435-438,

by W. Woess in the Internationale Mathematische Nachrichten Nr. 204 pp. 47-48.  

and by T. Foertsch in the Jahresbericht der DMV 108 (2008), 61–62

Lobachevsky's Pangeometry:
I recently published an edition of Lobachevsky's Pangeometry, together with an English rabslation and an extensive commentary, at the EMS Publishing House, in the collection Heritage of European Mathematics
The Pageometryis the last of Lobachevsky's works. It is a résumé of his work on non-Euclidean geometry and its applications, and it can be considered as his clearest account on the subject.

The following link Pangeometry contains information about this book (the foreword, the table of content, and how to order the book).
A review of this book in Zentralblatt by Victor Pambuccian.

The Handbook of Teichmüller theory:

I am the editor of the "Handbook of Teichmüller Theory", in several volumes, published by the European Mathematical Society. 

Volume I  appeared in 2007, Volume II appeared in 2009, Volumes III in 2012 and IV and V will appear in 2014.
MAA review of Volumes I and II by Michael Berg

The Euler project:
I am editing a collective volume on Euler, with co-editor Xavier Hascher. The volume will be published by CNRS Editions in 2011, in the collection Sciences de la Musique.
An important part of the volume is on Euler as a music theorist. The  authors are mathematicians, physicists, philosophers and music theorists.
The authors are:
Patrice Bailhache, François Baskevitch, Dominique Foata, Xavier Hascher, Yves Hellegouarch, Christian Houzel, Pierre Jehel, Franck Jedrzejewski, Andreas Kleinert, Eberhard Knobloch, François Nicolas, Athanase Papadopoulos, Guillaume Théret and Charles Théret.


Weekly Seminar 

I am the organiser of a weekly seminar (Mondays at 2 pm) at the University of Strasbourg, called Séminaire GT3. The name has been coined by Bernard Morin, after Thurston's Notes on the Geometry and Topology of 3-mainfolds.

Direction of Ph.D. theses I have 8 PhD. students:

M. Coornaert (obtained in 1991) 

M. Mesmoudi (obtained in 1994)

J.C. Curtillet (obtained in 1998) 

A. Belkhirat (obtained in 2003) 

G. Théret (obtained in 2005)

O. Malouf obtained in 2012)

A. Said (obtained in 2013)

V. Disarlo (obtained in 2013)
V. Alberge (in progress).

I also directed in 2010 the Habilitation of Moreno Andreatta on Mathematics and Music.
Moreno's webpage  ;  My report on Moreno's work ; Moreno's Habilitation

More about me:

Curriculum Vitae