Bernhard Keller
Version
française
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
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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
- 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, 09/2020-
- Xiaofa Chen, 01/2021-07/2023
- Junyang Liu, 06/2021-12/2023
- Miantao Liu, 09/2022-
- Ricardo Canesin, 09/2023-
- Jules Besson, 09/2023-
- Haoyu Wang, 01/2024-
- Postdocs mentored:
- 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
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16 Associative rings and algebras
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16G Representation theory of rings and algebras
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16E Homological methods
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17B Lie algebras and Lie superalgebras
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18 Category theory; homological algebra
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18E Abelian categories, in particular 18E30 derived categories and
triangulated
categories
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18F Categories and geometry
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18G Homological algebra
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19D Higher Algebraic K-theory
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55P Homotopy theory
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55U Applied homological algebra and category theory
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81R Groups and algebras in quantum theory
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Teaching
Academic year 2019/2020
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
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Cours de DEA Introduction aux groupes et algèbres
de Lie, 1998/99-2000/01.
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MT 401 Algèbre de Maîtrise, 2001/02
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MT 131 Algèbre et Analyse élémentaires,
I (DEUG MASS, Première année), 2001/02
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Cours de DEA Représentations de carquois,
2003/04 et 2004/05
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Cours de géométrie M3301
en licence (L2 et L3), 2005/06.
Encadrement de projets
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Administration
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Work as
organizer,
editor ...
- Editorial boards:
Annals of representation theory,
Advances in mathematics,
Annales Mathématiques Blaise Pascal,
Bulletin of the Iranian Mathematical Society,
Comptes Rendus : Mathématique,
Forum of Mathematices Pi and
Sigma,
Higher structures,
Journal of the EMS,
Mediterranean
Journal of Mathematics,
Orbita Mathematicae.
- Co-organizer (with Gustavo Jasso) of an
online Learning Seminar on Higher Category Theory and its Applications in Algebra and Geometry.
Please contact Gustavo or myself if you are interested in participating.
-
Cluster Algebras at the MSRI, August 20, 2012 to December 21, 2012
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Advanced
School and Conference on Homological and Geometrical Methods in Representation Theory,
ICTP, 18 January - 5 February 2010
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Research network ANR "Tropical geometry and cluster algebras"
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Research network
GDR 2432 «Algèbre non commutative et théorie des invariants
en théorie des représentations»
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GDR TLAG
«Théorie de Lie algébrique et géométrique»
-
Séminaire
d'algèbre à l'IHP.
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Working group on cluster algebras and quiver representations
(archives) :
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
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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
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Useful Links
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Affiliations
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https://webusers.imj-prg.fr/~bernhard.keller/indexe.html
Bernhard Keller, le 13 mars 2022.