Person

Dr. rer. nat., Universitätsprofessor

Ghislain Fourier

Fourier
Lehrstuhl B für Mathematik (Algebra)

Address

Building: 1952

Room: 403

Pontdriesch 10-16

52062 Aachen

Contact

workPhone
Phone: +49 241 80 94528
Fax: +49 241 80 92777

Office hour

Tuesday, 11:30 am - 12:30 pm
 

More informations

 

In the summer term 2019, I'm offering the following classes:

 

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    Curriculum Vitae:

    • since 07/2018: Lehrstuhl B für Mathematik (Algebra), RWTH Aachen Universty
    • 10/2016 - 07/2018: Professor for Pure Mathematics Leibniz University Hannover
    • 09/2013 - 09/2016: Lectureship for Pure Mathematics, University of Glasgow
    • 01/2013: Habilitation, University of Cologne
    • 10/2007: Promotion, University of Cologne
    • 10/2000 - 10/2004: Diplom Mathematics, Bergische University Wuppertal
     

    Publications

    Source Author(s)
    [Journal Article]
    String cone and superpotential combinatorics for flag and Schubert varieties in type A
    In: Journal of combinatorial theory : JCTA / Series A, 167, 213-256, 2019
    [DOI: 10.1016/j.jcta.2019.04.006]
    Bossinger, Lara
    Fourier, Ghislain Paul Thomas
    [Journal Article]
    Weighted PBW degenerations and tropical flag varieties
    In: Communications in contemporary mathematics, 21 (1), 1850016, 2019
    [DOI: 10.1142/S0219199718500165]
    Fang, X.
    Feigin, E.
    Fourier, G.
    Makhlin, I.
    [Journal Article]
    Symmetries on plabic graphs and associated polytopes
    In: Comptes rendus mathématiques de l'Académie des Sciences, 356 (6), 581-585, 2018
    [DOI: 10.1016/j.crma.2018.05.003]
    Fang, Xin
    Fourier, Ghislain
    [Journal Article]
    Toric Degenerations of Gr(2, n) and Gr(3, 6) via Plabic Graphs
    In: Annals of combinatorics, 22 (3), 491 - 512, 2018
    [DOI: 10.1007/s00026-018-0395-z]
    Bossinger, L.
    Fang, X.
    Fourier, G.
    Hering, M.
    Lanini, M.
    [Contribution to a book]
    On toric degenerations of flag varieties
    In: Representation Theory, 187-232, 2017
    [DOI: 10.4171/171-1/8]
    Fang, Xin
    Fourier, Ghislain
    Littelmann, Peter
    [Journal Article]
    Favourable modules: Filtrations, polytopes, Newton-Okounkov bodies and flat degenerations
    In: Transformation groups, 22 (2), 321-352, 2017
    [DOI: 10.1007/s00031-016-9389-2]
    Feigin, Evgeny
    Fourier, Ghislain
    Littelmann, Peter
    [Journal Article]
    Essential bases and toric degenerations arising from birational sequences
    In: Advances in mathematics, 312, 107-149, 2017
    [DOI: 10.1016/j.aim.2017.03.014]
    Fang, Xin
    Fourier, Ghislain
    Littelmann, Peter
    [Journal Article]
    Degree cones and monomial bases of lie algebras and quantum groups
    In: The Glasgow mathematical journal, 59 (03), 595-621, 2017
    [DOI: 10.1017/S0017089516000422]
    Backhaus, Teodor
    Fang, Xin
    Fourier, Ghislain
    [Journal Article]
    Linear degenerations of flag varieties
    In: Mathematische Zeitschrift, 287 (1-2), 615-654, 2017
    [DOI: 10.1007/s00209-016-1839-y]
    Cerulli Irelli, G.
    Fang, X.
    Feigin, E.
    Fourier, G.
    Reineke, M.
    [Journal Article]
    PBW-type filtration on quantum groups of type A n
    In: Journal of algebra, 449, 321 - 345, 2016
    [DOI: 10.1016/j.jalgebra.2015.09.054]
    Fang, Xin
    Fourier, Ghislain
    Reineke, Markus
    [Journal Article]
    Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence
    In: Journal of pure and applied algebra, 220 (2), 606-620, 2016
    [DOI: 10.1016/j.jpaa.2015.07.007]
    Fourier, Ghislain
    [Journal Article]
    PBW-degenerated Demazure modules and Schubert varieties for triangular elements
    In: Journal of combinatorial theory / A, 139, 132-152, 2016
    [DOI: 10.1016/j.jcta.2015.12.001]
    Fourier, Ghislain
    [Journal Article]
    Torus fixed points in Schubert varieties and normalized median Genocchi numbers
    In: Séminaire Lotharingien de Combinatoire, B75f, 2016
    Fang, Xin
    Fourier, Ghislain
    [Journal Article]
    Marked chain-order polytopes
    In: European journal of combinatorics, 58, 267 - 282, 2016
    [DOI: 10.1016/j.ejc.2016.06.007]
    Fang, Xin
    Fourier, Ghislain
    [Preprint]
    Marked poset polytopes : Minkowski sums, indecomposables, and unimodular equivalence, 2015
    Fourier, Ghislain
    [Journal Article]
    New homogeneous ideals for current algebras: filtrations, fusion products and Pieri rules
    In: Moscow mathematical journal, 15 (1), 49-72, 2015
    Fourier, Ghislain
    [Journal Article]
    Minuscule Schubert Varieties: Poset Polytopes, PBW-Degenerated Demazure Modules, and Kogan Faces
    In: Algebras and representation theory, 18 (6), 1481 - 1503, 2015
    [DOI: 10.1007/s10468-015-9548-5]
    Biswal, Rekha
    Fourier, Ghislain
    [Journal Article]
    On Multigraded Generalizations of Kirillov–Reshetikhin Modules
    In: Algebras and representation theory, 17 (2), 519 - 538, 2014
    [DOI: 10.1007/s10468-013-9408-0]
    Bianchi, Angelo
    Chari, Vyjayanthi
    Fourier, Ghislain
    Moura, Adriano
    [Journal Article]
    Extended partial order and applications to tensor products
    In: The Australasian journal of combinatorics, 58, 178–196, 2014
    Fourier, Ghislain Paul Thomas
    [Journal Article]
    Weyl modules and Levi subalgebras
    In: Journal of Lie theory, 24 (2), 503-527, 2014
    Fourier, Ghislain Paul Thomas
    [Journal Article]
    Posets, tensor products and Schur positivity
    In: Algebra & number theory, 8 (4), 933 - 961, 2014
    [DOI: 10.2140/ant.2014.8.933]
    Chari, Vyjayanthi
    Fourier, Ghislain
    Sagaki, Daisuke
    [Journal Article]
    Global Weyl Modules for Equivariant Map Algebras
    In: International mathematics research notices, 2015 (7), rnt231, 2014
    [DOI: 10.1093/imrn/rnt231]
    Fourier, G.
    Manning, N.
    Savage, A.
    [Journal Article]
    Schur Positivity and Kirillov-Reshetikhin Modules
    In: Symmetry, integrability and geometry: methods and applications, 10, 058, 2014
    [DOI: 10.3842/SIGMA.2014.058]
    Fourier, Ghislain
    [Journal Article]
    The degree of the Hilbert-Poincar\'e polynomial of PBW-graded modules
    In: Comptes rendus mathematique, 352 (12), 959-963, 2014
    Backhaus, Teodor
    Bossinger, Lara
    Desczyk, Christian
    Fourier, Ghislain
    [Journal Article]
    Global Weyl modules for the twisted loop algebra
    In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 83 (1), 53 - 82, 2013
    [DOI: 10.1007/s12188-013-0074-2]
    Fourier, Ghislain
    Manning, Nathan
    Senesi, Prasad
    [Contribution to a book]
    PBW-filtration over ℤ and Compatible Bases for V ℤ(λ) in Type A n and C n
    In: Symmetries, Integrable Systems and Representations / edited by Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy, 35-63, 2013
    [DOI: 10.1007/978-1-4471-4863-0_3]
    Feigin, Evgeny
    Fourier, Ghislain
    Littelmann, Peter
    [Journal Article]
    Demazure modules and Weyl modules: The twisted current case
    In: Transactions of the American Mathematical Society, 365 (11), 6037-6064, 2013
    [DOI: 10.1090/S0002-9947-2013-05846-1]
    Fourier, Ghislain
    Kus, Deniz
    [Journal Article]
    Local Weyl modules for equivariant map algebras with free abelian group actions
    In: Journal of algebra, 350 (1), 386 - 404, 2012
    [DOI: 10.1016/j.jalgebra.2011.10.018]
    Fourier, Ghislain
    Khandai, Tanusree
    Kus, Deniz
    Savage, Alistair
    [Journal Article]
    PBW filtration and bases for irreducible modules in type A n
    In: Transformation groups, 16 (1), 71 - 89, 2011
    [DOI: 10.1007/s00031-010-9115-4]
    Feigin, Evgeny
    Fourier, Ghislain
    Littelmann, Peter
    [Contribution to a book]
    Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
    In: Quantum affine algebras, extended affine Lie algebras, and their applications : Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, March 2-7, 2008, Banff International Research Station, Banff, Canada / Yun Gao ... [et al.], editors, 2010
    Fourier, Ghislain
    Okado, Massato
    Schilling, Anne
    [Journal Article]
    A categorical approach to Weyl modules
    In: Transformation groups, 15 (3), 517 - 549, 2010
    [DOI: 10.1007/s00031-010-9090-9]
    Chari, Vyjayanthi
    Fourier, Ghislain
    Khandai, Tanusree
    [Journal Article]
    Kirillov–Reshetikhin crystals for nonexceptional types
    In: Advances in mathematics, 222 (3), 1080 - 1116, 2009
    [DOI: 10.1016/j.aim.2009.05.020]
    Fourier, Ghislain
    Okado, Masato
    Schilling, Anne
    [Contribution to a conference proceedings]
    Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
    In: [21st International Conference on Formal Power Series and Algebraic Combinatorics], 2009
    Fourier, Ghislain
    Okado, Masato
    Schilling, Anne
    [Journal Article]
    Weyl modules for the twisted loop algebras
    In: Journal of algebra, 319 (12), 5016 - 5038, 2008
    [DOI: 10.1016/j.jalgebra.2008.02.030]
    Chari, Vyjayanthi
    Fourier, Ghislain
    Senesi, Prasad
    [Journal Article]
    Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions
    In: Advances in mathematics, 211 (2), 566 - 593, 2007
    [DOI: 10.1016/j.aim.2006.09.002]
    Fourier, G.
    Littelmann, P.
    [Journal Article]
    Demazure structure inside Kirillov-Reshetikhin crystals
    In: Journal of algebra, 309 (1), 386-404, 2007
    [DOI: 10.1016/j.jalgebra.2006.09.019]
    Fourier, Ghislain
    Schilling, Anne
    Shimozono, Mark
    [Journal Article]
    Tensor Product Structure of Affine Demazure Modules and Limit Constructions
    In: Nagoya mathematical journal, 182, 171 - 198, 2006
    [DOI: 10.1017/S0027763000026866]
    Fourier, G.
    Littelmann, P.