Guillaume Pouchin School of Mathematics Tel.(office) : (+44

Guillaume Pouchin
School of Mathematics
University of Edinburgh
JCMB, King’s Buildings
Edinburgh EH93JZ
Born 15/04/1981
Nationality : French
Tel.(office) : (+44)1316505055
E-mail : [email protected]
Academic background
2005-2010
PhD thesis in Pure Mathematics, Institut mathématique de Jussieu
under the supervision of Olivier Schiffmann
Title : Higgs algebras and loop crystals
Jury members : Prof. M. Varagnolo, Prof. I. Gordon, Prof. B. Leclerc,
Prof. P. Polo, Prof. P. Boalch.
2004–2005
Master "Algebra and Geometry", University Paris 6
under the supervision of Patrick Polo
2003–2004
MMFAI (ENS diploma), ENS (Ecole Normale Superieure) Ulm
Agrégation de Mathématiques
2002–2003
Master’s degree in Pure Mathematics, University Paris 7
Degree in Mathematics, University Paris 7
Admission in Ecole Normale Supérieure (ENS Ulm)
1999–2002
MPSI and MP* (prep school), Lycée Corneille, Rouen
Professional experience
2011-Présent
2010-2011
2009-2010
Postdoc (EPSRC grant), University of Edinburgh
Postdoc at the Max Planck Institute, Bonn, Allemagne
ATER position at University Paris 6
Teaching experience
2013-2014
2011-2012
2009-2010
2008-2009
2007-2008
2006-2007
Basic algebra 1, tutorial for master students, University of Edinburgh
Algebra, Lectures for first year PhD students (SMSTC), University of Edinburgh
Matrices L1, Arithmetic L2, University Paris 6
Matrices L1, University Paris 6
Vector spaces L1, University Paris 6
Vector spaces L1, University Paris 6
Publications
PhD Thesis :
Higgs algebra of curves and loop crystals,
available at arXiv : 1005.3732.
Published or submitted :
Geometric Schur-Weyl duality for quotients of affine Hecke algebras in type A,
published in J. Algebra 321 (2009), no. 1, 230–247.
Determination of representations and a basis for the Yokonuma-Temperley-Lieb algebra, with M. Chlouveraki, submitted, available at arXiv : 1311.5626.
Higgs bundles on weighted projective lines and loop crystals,
Submitted, available at arXiv : 1312.5838.
In preparation :
Higgs algebras of curves and loop Kac-Moody algebras.
Talks
November 2013
October 2013
December 2012
November 2012
February 2012
November 2011
October 2011
June 2011
October 2010
October 2010
September 2010
April 2010
December 2009
November 2009
Loop Kac-Moody algebras and loop crystals
Algebra seminar, University of York, United Kingdom
Loop Kac-Moody algebras and loop crystals
Groupes, combinatoire, algèbres non-associatives, Cirm, Luminy, France
Sur les fibrés de Higgs de courbes et les algèbres de lacets de Kac-Moody
algèbre et géométrie seminar, University of Caen, France
Sur la construction géométrique d’algèbres de Kac-Moody affines
et cristaux
Chevalley seminar, University Paris Diderot (7)
Higgs algebra of weighted projective lines and loop crystals
Algebra seminar, University of Glasgow, United Kingdom
Higgs algebra of weighted projective lines and loop crystals
Maximals seminar, University of Edinburgh, United Kingdom
Introduction to Hall algebras
Algebra preseminar , University of Manchester, United Kingdom
Higgs algebras of weighted projective lines and loop crystals
Algebra seminar, University de Manchester, United Kingdom
Higgs algebras of curves and loop Lie algebras
Oberseminar, Max Planck Institute, Bonn, Germany
Sur la fibration de Hitchin
Workgroup, University of Caen, France
Sur la dualité de Schur-Weyl géométrique
algebra seminar, University of Caen, France
PhD defense
University Paris 6 (Jussieu), France
Higgs algebra and loop crystals
algebra seminar, University of Aarhus, Danemark
Algèbres de Higgs et cristaux affines
"algèbres enveloppantes" seminar, University Paris 6
Geometric representation theory and crystals
Series of lectures, University of Edinburgh, United Kingdom
June 2009
January 2009
June 2008
June 2008
September 2005
Algèbres de Higgs et cône global nilpotent
géométrie, algèbre and algèbres d’opérateurs seminar,
University of Clermont-Ferrand, France
Algèbres de Higgs et cône global nilpotent
"analyse algébrique" seminar, University Paris 6
Dualité de Schur-Weyl géométrique pour certains quotients
d’algèbres de Hecke affines de type A
Algebra seminar, University Lyon 1, France
Dualité de Schur-Weyl géométrique
"algèbres enveloppantes" Seminar, University Paris 6
Sur les schémas en groupes quasi-réductifs
Master Defense, under the supervision of Patrick Polo.
Seminars, Conferences
October 2013
January 2013
April 2012
December 2011
January 2011
June-July 2009
October 2008
June-July 2008
April 2008
December 2006
November 2006
June 2006
July-August 2005
Groupes, combinatoire, algèbres non-associatives
Cirm, Luminy, France
Introductory Workshop : Noncommutative Algebraic Geometry
and Representation Theory
MSRI, Berkeley, United States
Théorie de Lie et analogues quantiques
CIRM, France
Rencontre ARTIN (Algebra and Representation Theory In the North)
University of Manchester, Great Britain
Winter School on Topics in Representation Theory
Hausdorff Institute, Bonn, Germany
Summer School on Geometric Representation Theory and Extended
Affine Lie Algebras + Conference, University of Ottawa, Canada
Algèbres de Hecke, groupes et géométrie
CIRM, France
2008 Summer School in Geometric Representation Theory
Institut Fourier, Grenoble (France)
Groupes quantiques dynamiques et catégories de fusion
CIRM, Fance
Géométrie et représentations
CIRM, France
Développement récent de la théorie des algèbres de Hall
CIRM, France
Representation Theory of Algebric Groups and Quantum Groups 06
Nagoya, Japon
Summer institute of Algebraic Geometry
Seattle, United States
Fellowships and awards
2011-2014
2010-2011
2009-2010
2006-2009
2002-2006
EPSRC Grant for the personal project "Geometric Representation Theory
and Loop Lie Algebras"
Postdoctoral position at the Max Planck Institute, Bonn, Germany
ATER, University Paris 6
PhD Grant, University Paris 6
Scholarship Grant at the Ecole Normale Supérieure, Paris (ENS Ulm).