Bernhard Keller

• How to reach me
• Photo (thanks to Tilmann Wurzbacher)
• Teaching, Research and Administration
• Algebra Seminar
• Working group on cluster algebras and quiver representations
• Work as organizer, editor ...
• Chinese
• Useful links
  
• Affiliations

How to reach me

Postal address:

Université Paris Cité

UFR de Mathématiques, Case 7012

Bâtiment Sophie Germain

8 place Aurélie Nemours

75013 Paris Cedex 13

FRANCE

email : bernhard dot keller at imj-prg dot fr
Office: room 607, Bâtiment Sophie Germain, 75013 Paris
Phone: 01 57 27 91 84
Fax: 01 57 27 91 62

Research

• Selected publications and preprints
• Google scholar profile
• Publications on MathReviews
• Preprints on arXiv
• Fast breaking paper with Idun Reiten
• Students:
  • Julien Dalpayrat-Glutron, Equivalences dérivées et K-théorie (dvi 184 K), pdf (286 K), Mémoire de DEA, Mai 1999.
  • Kenji Lefèvre-Hasegawa, thesis defended in November 2003
  • Gonçalo Tabuada, thesis defended on September 20, 2007, Homotopy theory of DG categories (1.35 M)
  • Marco Porta, thesis defended on February 1, 2008, On well-generated triangulated categories
  • Claire Amiot, thesis defended on July 11, 2008
  • Yann Palu, thesis defended on June 8, 2009
  • Pierre-Guy Plamondon, thesis begun in October 2008, defended on July 5, 2011
  • Mr. Fan Qin, thesis begun in October 2008, defended on May 11, 2012
  • Ms. Lingyan Guo, thesis begun in October 2008, defended on May 16, 2012
  • Alfredo Nájera Chávez, October 2011 til June 2015
  • Mikhail Gorsky, September 2012 to December 2019 (with interruption for illness)
  • Tony Yue Yu (co-supervision), October 2012 til June 2013 (interrupted for illness)
  • Yu Wang, September 2018 til December 2021, now lecturer at Taiyuan Normal University
  • Yilin Wu, September 2019 til December 2021
  • Alessandro Contu, since September 2020
  • Xiaofa Chen, 01/2021-
  • Junyang Liu, since June 2021
  • Miantao Liu, since September 2022
• Algebra Seminar at the Institut Henri Poincaré
• Working group on cluster algebras and quiver representations
• Reseach network GDR 2432 «Non commutative algebra and invariant theory in representation theory»
• Research interests:
• 13F60 Cluster algebras
• 16 Associative rings and algebras
• 16G Representation theory of rings and algebras
• 16E Homological methods
• 17B Lie algebras and Lie superalgebras
• 18 Category theory; homological algebra
• 18E Abelian categories, in particular 18E30 derived categories and triangulated categories
• 18F Categories and geometry
• 18G Homological algebra
• 19D Higher Algebraic K-theory
• 55P Homotopy theory
• 55U Applied homological algebra and category theory
• 81R Groups and algebras in quantum theory

Teaching

Academic year 2019/2020

• Algèbres de Lie semi-simples complexes et leurs représentations, cours de M2 de Paris 7 voir aussi le site du M2 de Paris 6
• MMAL2 Algèbre élémentaire II, Colles
• ALMI5 Algèbre I

Archive

• Cours d'algèbre et de géométrie dans le M1 enseignement.
• Cours de topologie algébrique dans le M1 de mathématiques fondamentales
• Cours d'algèbre 2 de la FIMFA, avec David Madore, 2006/07
• MT 282 Groupes et Arithmétique, 1994/95-1996/97
• Cours de DEA Introduction aux groupes et algèbres de Lie, 1998/99-2000/01.
• MT 401 Algèbre de Maîtrise, 2001/02
• MT 131 Algèbre et Analyse élémentaires, I (DEUG MASS, Première année), 2001/02
• Cours de DEA Représentations de carquois, 2003/04 et 2004/05
• Cours de géométrie M3301 en licence (L2 et L3), 2005/06.

Encadrement de projets

• Groupes cristallographiques du plan par Sacha Dhénin et Samuel Nalin, L3 Math/Info 2018

Administration

• Former head (January 2004 - August 2013) of the Research team "Groups, representations and geometry"
of the Jussieu Mathematics Institute
• Former director (March 97- February 03) of B.A. and M.A. studies in Mathematics. New directors : Marc Chaperon et Loïc Merel
• Former curator (avec A. Arabia et R. Mneimné) of the library of the Lie group team. New curators : Corinne Blondel et Salah Mehdi.

Work as organizer, editor ...

• Cluster Algebras at the MSRI, August 20, 2012 to December 21, 2012
• Advanced School and Conference on Homological and Geometrical Methods in Representation Theory, ICTP, 18 January - 5 February 2010
• Research network ANR "Tropical geometry and cluster algebras"
• Research network GDR 2432 «Algèbre non commutative et théorie des invariants en théorie des représentations»
• GDR TLAG «Théorie de Lie algébrique et géométrique»
• Séminaire d'algèbre à l'IHP.
• Working group on cluster algebras and quiver representations (archives) :
  • Liste provisoire de quelques exposés prévus (2011)
  • Notes de l'exposés de Liliane (Lingyan Guo) du 03/06/2011
• Groupe de travail Algèbre et Topologie homotopiques
• Colloque solstice d'été
• International conference on cluster algebras and related topics, Mexico, December 8-20, 2008.
• CIMPA-UNESCO-IPM School Representation Theory of Algebras June 15-25, 2008, Tehran, Iran
• Advanced School and Conference on Representation Theory and Related topics, ICTP, January 2006
• Journée d'Algèbre en hommage à M.-P. Malliavin (Septembre 2004)
• Groupe de travail sur la quantification formelle des variétés de Poisson et ses applications en théorie de Lie, 2000-2002
• Editorial boards: Advances in mathematics, Annales Mathématiques Blaise Pascal, Bulletin of the Iranian Mathematical Society, Comptes Rendus : Mathématique, Forum of Mathematices Pi and Sigma, Mediterranean Journal of Mathematics.

Chinese

• The favicon shows the first character in the Chinese translation or of the term cluster algebra (many thanks to Andrei Zelevinsky for the idea and to Jie Xiao for the translation). See the entry cong2 on Zhongwen.com.
• Chinese Characters and Culture, The Unihan database, NCIKU dictionary, Google translation,
• Read and study with popup hints, MDBG text annotation
• Chinese Character Test Applet, Yellowbridge flash cards,
• Chinese pod, CSL pod, UN Chinese radio
• BBC China news, BBC China news with hints, CCTV news, Google China, Baidu knowledge
• Douban movie site, Tudou movie site
• Some documents, English-Chinese cluster algebra dictionary

Useful Links

• Editions Calvage et Mounet
• Quiver mutation in JavaScript and Java
• The Cluster algebras portal, Andrei Zelevinsky on "Cluster Algebras via Quivers with Potentials"
• Plabic tilings by Pavel Galashin
• The string applet by Jan Geuenich
• Mathematical 3d graphics with Javaview
• Cluster dictionary / dictionnaire des amas
• Cristal
• Seminars and working groups: Algèbre, Groupes, représentation et géométrie, Algèbre et topologie homotopiques, Autour des travaux de Lurie sur la classification des théories topologiques de champs, Géométrie algébrique, Seminars in Bonn
• Google Photos
• Webmail Jussieu
• How to come to Sophie Germain

Affiliations

• Equipe de Théorie des Groupes, Représentations, Applications
• UFR de Mathématiques (Université Paris Cité)
• Institut de Mathématiques de Jussieu-PRG
• Université Paris Cité
• Institut Universitaire de France: senior member from 2010 to 2015
• Fellows of the AMS