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

Thursday, 2:00 - 3:00 pm
 

More informations

 

In the winter term 2018/19, 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]
    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.
    [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]
    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]
    PBW-type filtration on quantum groups of type $A_n, online, online, online, online, online, online, online, online, online, online, online, online, online, online, online
    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 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]
    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]
    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.