Sergei Merkulov

Sergei Merkulov

Full professor in Mathematics - area : Geometry

Academic Area(s) Mathematics
Research Topics Algebra, Geometry, Mathematical physics
Faculty or Centre Faculty of Science, Technology and Communication
Research Unit RU Mathematics
Postal Address Université du Luxembourg
Maison du Nombre
6, Avenue de la Fonte
L-4364 Esch-sur-Alzette
Campus Office MNO, E06 0625-080
Email
Telephone (+352) 46 66 44 5428
Fax (+352) 46 66 44 35428
Speaks English, Swedish, Russian
Research Stays in 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: Wednesday, 01 February 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

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2018

Full Text
See detailDeformation theory of Lie bialgebra properads
Merkulov, Sergei; Willwacher, Thomas

in Geometry and Physics: A Festschrift in honour of Nigel Hitchin (2018)

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See detailAn explicit two step quantization of Poisson structures and Lie bialgebras
Merkulov, Sergei; Willwacher, Thomas

in Communications in Mathematical Physics (2018), 364(2), 505578

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2017

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See detailMulti-oriented props and homotopy algebras with branes
Merkulov, Sergei

E-print/Working paper (2017)

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2016

Full Text
See detailThe Frobenius operad is Koszul
Camos, Ricardo; Merkulov, Sergei; Willwacher, Thomas

in Duke Mathematical Journal (2016), 165(15), 2921-2989

Full Text
See detailOn quantizable odd Lie bialgebras
Khoroshkin, Anton; Merkulov, Sergei; Thomas, Willwacher

in Letters in Mathematical Physics (2016), 106(9), 1199-1215

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See detailFormality Theorem for Quantizations of Lie Bialgebras
Merkulov, Sergei

in Letters in Mathematical Physics (2016), 106(2), 169-195

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See detailClassification of universal formality maps for quantizations of Lie bialgebras
Merkulov, Sergei; Willwacher, Thomas

E-print/Working paper (2016)

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2015

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See detailGrothendieck-Teichmueller group and Poisson cohomologies
Alm, Johan; Merkulov, Sergei

in Journal of Noncommutative Geometry (2015), 9(1), 185-214

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See detailProps of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves M_g,n
Merkulov, Sergei; Willwacher, Thomas

E-print/Working paper (2015)

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2014

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See detailGrothendieck-Teichmueller and Batalin-Vilkovisky
Merkulov, Sergei; Willwacher, Thomas

in Letters in Mathematical Physics (2014), 104(5), 625-634

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2011

Full Text
See detailPermutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex
Merkulov, Sergei

in Higher structures in geometry and physics (2011)

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See detailOperads, configuration spaces and quantization
Merkulov, Sergei

in Bulletin of the Brazilian Mathematical Society (2011), 42(4), 683781

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2010

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See detailWheeled Pro(p)file of Batalin-Vilkovisky formalism
Merkulov, Sergei

in Communications in Mathematical Physics (2010), 295(3), 585638

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See detailWheeled props in algebra, geometry and quantization.
Merkulov, Sergei

in Proceedings (2010)

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2009

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See detailWheeled PROPs, graph complexes and the master equation
Markl, Martin; Merkulov, Sergei; Shadrin, Sergei

in Journal of Pure and Applied Algebra (2009), 213(4), 496-535

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See detailGraph complexes with loops and wheels
Merkulov, Sergei

in Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. (2009)

Full Text
See detailDeformation theory of representations of prop(erad)s. I.
Merkulov, Sergei; Vallette, Bruno

in Journal für die Reine und Angewandte Mathematik (2009), 634

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See detailDeformation theory of representations of prop(erad)s. II.
Merkulov, Sergei; Vallette, Bruno

in Journal für die Reine und Angewandte Mathematik (2009), 636

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