Athanase  PAPADOPOULOS




Address

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

email : athanase.papadopoulos@math.unistra.fr

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

Pictures


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.


Publications:

I have about 75 published papers and 4 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.

Publications on geometry and topology 

Publications on mathematics and music 

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 and IV will appear in 2011.
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.

Strasbourg Master-class in geometry:
I am the editor of a collection of texts on geometry, to appear in 2011, and to be published by the European Mathematical Society.
The autors of this volume are N. A'Campo & A. Papadopoulos, Françoise Dal'bo, Frank Herrlich, Philip Korablev & Sergei Matveev, Gabriele Link, Julien Marché, Carlo Petronio  and Viktor Schroeder.

The texts originate in Master-classes given at the University of Strasbourg. They are are addressed primarily  to graduate students and  they cover a arge area of current research in geometry: hyperbolic geometry,
3-manifolds, asymptotic geometry, Lie groups and rhe epresentation theory of fundamental groups of surfaces.

I am in charge of the section  "Groupes de difféotopies (mapping class groups) et espaces de Teichmüller" of  the research program GDR 2105 of CNRS, ``Tresses et topologie de basse dimension".


Organiser of the periodic  conference  (2 times a year, in principle June and September) ``Rencontre entre Physiciens Théoriciens et Mathématiciens" (Encounter between Theoretical Physicists and Mathematicians),
at the University of Strasbourg.
The subject of the conference changes every time. The topics of the most recent ones were:

Finsler Geometry (September 2007)

The Ricci flow (September 2008 ; co-organizer  Sylvain Maillot)

Brownian Motion and Random Walks (May 2008 ; co-organizer Jacques Franchi)

Chern-Simons Invariant  (September 2009 ; co-organizer Gwenael Massuyeau) 

Representation Theory  (June 2009 ; co-organizer Sofiane Souaifi)
General Relativity (June 2010 ; co-organizer Jacques Franchi

Moduli Spaces (September 2010 ; co-organizer Vladimir Fock)

The topics of the future ones are:

Lorentz geometry (June 2011 ; co-organizer Charles Boubel

Discretization (September 2011 ; co-organizer Dmitry Millionschikov).

 

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 (in progress)

A. Said (in progress)

V. Disarlo (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:

Diplomas

1981 Ingénieur, Ecole Centrale de Paris

1983 Doctorat de Troisième cycle, Mathématiques, Université de Paris- Sud, centre d'Orsay.

1989 Doctorat d'Etat, Université de Paris-Sud, centre d'Orsay. 


Positions held  

1983-84: Assistant associé, Université de Paris-Sud, centre d'Orsay

 Since October 1984, I am a researcher at CNRS. Actual position : Directeur de Recherche.


Visiting positions 

Being a mathematician also means visiting the world.  Here is a list of the visiting positions I held (for at least one month):

Dec 1983 : Université de Genève

June 1983 : University of Florence 

Academic year 1984-85:  Institute for Advanced Study, Princeton

April 1985 : MSRI, Berkeley

April-June 1986 : UNAM, Mexico 

Novembre & Decembre 1986 : University of Pisa 

February to June 1988 : Max-Plank Institut, Bonn 

February to May 1989 : University of Southern California, Los Angeles

April to June 1990 : Max-Plank-Institut für Mathematik, Bonn

February 1991 : University of Florence 

Academic year 1993-94 : Institute for Advanced Study, Princeton

July to September 1994 : Max-Plank Institut, Bonn 

March and April 2003 : University of Florence 

March to May 2006 : Max-Plank Institut, Bonn 

September 2006 : Max-Plank Institut, Bonn 

April 2007 : CTQM (University of Aarhus),

January and February 2009 : Max-Plank Institut, Bonn,

July and August 2009 : Max-Plank Institut, Bonn,

October 2009 : EPFL, Lausanne,

May 2010: Hausdorff Institute, Bonn,
January 2011: Osaka. (I stayed there only 3 weeks but I mention this because Japan is a wonderful country.)

April and May 2011: Max-Plank Institut, Bonn.