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Prof. Dr. Sergei Merkulov
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| Faculté ou Centre | Faculté des Sciences, des Technologies et de Médecine | ||||||||
| Department | Département Mathématiques | ||||||||
| Adresse postale |
Université du Luxembourg Maison du Nombre 6, Avenue de la Fonte L-4364 Esch-sur-Alzette |
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| Bureau sur le campus | MNO, E06 0625-080 | ||||||||
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| Téléphone | (+352) 46 66 44 5428 | ||||||||
| Langues parlées | English, Swedish, Russian | ||||||||
| Séjours de recherche en | Germany, France, Luxembourg, Russia, United Kingdom, USA | ||||||||
Current research interests:
1) Grothendieck-Teichmueller group in algebra and geometry
2) Deformation quantizations of Lie bialgebras and of Poisson structures
3) Graph complexes and props
4) Configuration space models for algebraic and geometric structures
Current lecture courses:
1) Analytic Geometry
2) Theory of Lie groups and Lie algebras
3) Algebra 3
4) Galois theory
5) Eucliedean, non-Euclidean and projective geometries
Last updated on: mercredi 01 février 2017
1) Professional career
1984 PhD, USSR Gosstandard, Moscow.
1984-1992 Science Researcher, USSR Academy of Sciences, Moscow.
1992-1993 postdoc, Department of Mathematics, Odense University, Denmark.
1994-1995 Senior Lecturer, School of Mathematics and Statistics, University of Plymouth, UK.
1995-2002 Professor, Department of Mathematics, University of Glasgow, UK.
2002-2013 Professor, Department of Mathematics, University of Stockholm, Sweden (on leave from 2013)
2012-2013 Director of the Stockholm Mathematical Center, Sweden
2013- Professor, Mathematics Research Unit, University of Luxembourg.
2) Award:
Goran Gustafsson prize, The Royal Swedish Academy of Sciences, 2003.
3) Editorial responsibilities:
- Member, Editorial Board of Differential Geometry and its Applications (from 2008).
- Member, Editorial Board of Mathematica Scandinavica (from 2010 until 2013)
4) Grants:
British-German Council research grant, 1997-1999
EPSRC grant, 1998-1999 (UK)
EPSRC grant, 2000-2001 (UK)
Veteskapraadet research project grant 2003-2007 (Sweden)
Veteskapraadet research project grant 2008-2012 (Sweden)
Magnusson Foundation grant 2012, Swedish Academy of Natural Sciences
Veteskapraadet “breakthrough" research project grant 2013-2017, Sweden
Research grant 2014-2015, Luxembourg
5) Short term (> 3 weeks) visiting positions:
1993 August-September Senior scholarship at St.John's College, Oxford University;
1994 June Isaac Newton Institute for Mathematics, Cambridge;
1994 September Erwin Shroedinger International Institute, Vienna;
1995 June-August Aarhus and Odense Universities, Denmark
1996 August Max-Planck-Institute for Mathematics, Bonn
1997 June Erwin Shrodinger International Institute, Vienna;
1997 July-August Max-Planck-Institute for Mathematics, Bonn
1998 August-September Max-Planck-Institute for Mathematics, Bonn;
1998 December University of Leipzig, Germany;
1999 March-April I.H.E.S., France;
1999 October-November Erwin Shroedinger International Institute, Vienna.
1999 August { 2000 July Max-Planck-Institute for Mathematics, Bonn;
2001 March-April The Fields Institute, Toronto;
2001 September-October I.H.E.S., France;
2001, June-December Max-Planck-Institute for Mathematics, Bonn
2002, June SNS, Pisa
2002 May-July Max-Planck-Institute for Mathematics, Bonn
2003 December Max-Planck-Institute for Mathematics, Bonn
2004 May Stony Brook and CUNY, New York
2004 October I.H.E.S., France.
2005 January Mathematical Institute, Prague.
2005 November I.H.E.S., France.
2006 October-November Max-Planck-Institute for Mathematics, Bonn.
2006 December ETH, Zurich
2007 March Clay Mathematical Institute, Cambridge (USA) .
2007 April Ecole normale supérieure, Paris.
2007 October I.H.E.S., France.
2008 November-December Max-Planck-Institute for Mathematics, Bonn.
2009 August-December Max-Planck-Institute for Mathematics, Bonn.
2010 March University of Amsterdam.
2010 October Erwin Shroedinger International Institute, Vienna.
2012 January Max-Planck-Institute for Mathematics, Bonn.
2012 May University of Toulouse, France
2013 August-September Max-Planck-Institute for Mathematics, Bonn
2014 January-February Max-Planck-Institute for Mathematics, Bonn
2014 March Erwin Shroedinger International Institute, Vienna
Last updated on: 27 oct 2015
PhD thesis supervision:
Darren Laffar (PhD defence 2001, Glasgow University)
Sergey Zharkov (PhD 2000, Glasgow University)
Ryan Kelly (PhD 2003, Glasgow University)
Showkat Ali (PhD 2003, Glasgow University)
Maldonado-Mercado (PhD 2003, Glasgow University)
Patrik Hellgren (PhD 2007, Stockholm University)
Henrik Strohmayer (PhD 2009, Stockholm University)
Johan Granaaker (PhD May 2010, Stockholm University)
Johan Alm (PhD May 2013, Stockholm University)
Postdoc students:
Marcus Rosellen (two years 2003-2004, Stockholm University)
Sergey Shadrin (two years 2004-2005, Stockholm University),
Anton Khoroshkin (one year 2007, Stockholm University).
Sinan Yalin (two years, 2014-2015, Luxembourg University)
Florian Schaetz (2015-2017, Luxembourg University)
Last updated on: 27 oct 2015
2023
2022
Quantizations of Lie bialgebras, duality involution and oriented graph complexes;
in Letters in Mathematical Physics (2022), DOI 10.1007(s11005-022-01505-6),
Prop of ribbon hypergraphs and strongly homotopy involutive Lie bialgebrasin International Mathematics Research Notices (2022), rnac023
2021
From deformation theory of wheeled props to classification of Kontsevich formality maps;
in International Mathematical Research Notices (2021), rnab012
Grothendieck-Teichmueller group, operads and graph complexes: a surveyin Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry (2021)
2020
Multi-oriented props and homotopy algebras with branesin Letters in Mathematical Physics (2020), 110
Classification of universal formality maps for quantizations of Lie bialgebras;
in Compositio Mathematica (2020), 156(10), 2111-2148
2018
Deformation theory of Lie bialgebra properads;
in Geometry and Physics: A Festschrift in honour of Nigel Hitchin (2018)
An explicit two step quantization of Poisson structures and Lie bialgebras;
in Communications in Mathematical Physics (2018), 364(2), 505578
2016
Formality Theorem for Quantizations of Lie Bialgebrasin Letters in Mathematical Physics (2016), 106(2), 169-195
2015
Grothendieck-Teichmueller group and Poisson cohomologies;
in Journal of Noncommutative Geometry (2015), 9(1), 185-214
Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves M_g,n;
E-print/Working paper (2015)
2014
Grothendieck-Teichmueller and Batalin-Vilkovisky;
in Letters in Mathematical Physics (2014), 104(5), 625-634
2011
Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complexin Higher structures in geometry and physics (2011)
Operads, configuration spaces and quantizationin Bulletin of the Brazilian Mathematical Society (2011), 42(4), 683781
2010
Wheeled Pro(p)file of Batalin-Vilkovisky formalismin Communications in Mathematical Physics (2010), 295(3), 585638
2009
Wheeled PROPs, graph complexes and the master equation; ;
in Journal of Pure and Applied Algebra (2009), 213(4), 496-535
Graph complexes with loops and wheelsin Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. (2009)
Deformation theory of representations of prop(erad)s. I.;
in Journal für die Reine und Angewandte Mathematik (2009), 634
Deformation theory of representations of prop(erad)s. II.;
in Journal für die Reine und Angewandte Mathematik (2009), 636
