Christof Geiß

Christof Geiß, also called Geiss Hahn or Geiß Hahn, is a German mathematician.

Christof Geiß 2013

Geiß studied mathematics at the University of Bayreuth, where he received in 1990 his Diplom with Diplomarbeit Darstellungsendliche Algebren und multiplakative Basen and in 1993 his doctorate. His doctoral thesis Tame distributive algebras and related topics was written under the supervision of Wolfgang Erich Müller and José Antonio de la Peña.[1] Geiß does research and teaches at the Universidad Nacional Autónoma de México (UNAM), where he studied already in 1991/92 and became in 1993 an Investigador Associado. He is there an Investigador Titular C.[2]

His research deals with cluster algebras in Lie theory and their categorization, pre-projective algebras, and quivers in combination with symmetric Cartan matrices.

In 2018 Geiß was an Invited Speaker with talk Quivers with relations for symmetrizable Cartan matrices and algebraic Lie Theory at the International Congress of Mathematics.[3]

Selected publications
  • "Tame distributive 2-point algebras". Representations of Algebras: Sixth International Conference, August 19-22, 1992, Ottawa, Ontario, Canada. 14. American Mathematical Society. 1993. pp. 193–204.
  • with B. Leclerc, J. Schröer: Semicanonical bases and preprojective algebras, Annales Scientifiques de l'Ecole Normale Supérieure, vol. 38, 2005, pp. 193–253, Arxiv, Part 2, Arxiv
  • with Bernard Leclerc, Jan Schröer: Rigid modules over preprojective algebras, Inventiones mathematicae, vol. 165, 2006, pp. 589–632, Arxiv
  • with B. Leclerc, J. Schröer: Cluster algebra structures and semicanonical bases for unipotent groups, Arxiv 2007
  • with B. Leclerc, J. Schröer: Geiß, Christof; Leclerc, Bernard; Schröer, Jan (2007). "Auslander algebras and initial seeds for cluster algebras". Journal of the London Mathematical Society. 75 (3): 718–740. arXiv:math/0506405. doi:10.1112/jlms/jdm017. ISSN 0024-6107.
  • with B. Leclerc and J. Schröder: Andrzej Skowroński, ed. (2008). "Preprojective algebras and cluster algebras". Trends in representation theory of algebras and related topics. European Mathematical Society. pp. 253–283. ISBN 978-3-03719-062-3.
  • with B. Leclerc, J. Schröer: Kac–Moody groups and cluster algebras, Advances in Mathematics, vol. 228, 2011, pp. 329–433, Arxiv
  • with Leclerc, Schröer: Cluster algebras in algebraic Lie theory, Transformation Groups, vol. 18, 2013, pp. 149–178, Arxiv

References
  1. Christof Geiß at the Mathematics Genealogy Project
  2. "Cristof Geiss (Investigador)". Instituto de Matemáticas, UNAM.
  3. Geiß, Christof (2018). "Quivers with relations for symmetrizable Cartan matrices and algebraic Lie theory". arXiv:1803.11398 [math.RT]. published in Proc. Int. Congr. of Math. 2018, Rio de Janeiro, Vol. 1, 99-124
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