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Christof Geiß

August 20, 2023

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

Geiß at Oberwolfach, 2013

Geiß studied mathematics at the University of Bayreuth, where he received in 1990 his Diplom with Diplomarbeit Darstellungsendliche Algebren und multiplikative 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. Vol. 14. American Mathematical Society. 1993. pp. 193–204. ISBN 9780821860199.
  • with Bernard Leclerc and Jan Schröer: Geiss, C.; Leclerc, B.; Schroer, J. (2005). "Semicanonical bases and preprojective algebras" (PDF). Annales Scientifiques de l'École Normale Supérieure. 38 (2): 193–253. arXiv:math/0402448. doi:10.1016/j.ansens.2004.12.001. S2CID 15425070.
  • with Bernard Leclerc and Jan Schröer: Geiss, Christof; Leclerc, Bernard; Schröer, Jan (September 2007). "Semicanonical bases and preprojective algebras II: A multiplication formula". Compositio Mathematica. 143 (5): 1313–1334. arXiv:math/0509483. doi:10.1112/S0010437X07002977.
  • with Bernard Leclerc and Jan Schröer: Geiß, Christof; Leclerc, Bernard; Schröer, Jan (2006). "Rigid modules over preprojective algebras". Inventiones Mathematicae. 165 (3): 589–632. arXiv:math/0503324. Bibcode:2006InMat.165..589G. doi:10.1007/s00222-006-0507-y.
  • with Bernard Leclerc and Jan Schröer: Geiss, Christof; Leclerc, Bernard; Schröer, Jan (2007). "Cluster algebra structures and semicanonical bases for unipotent groups". arXiv:math/0703039.
  • with Bernard Leclerc and Jan 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. S2CID 2412648.
  • with Bernard Leclerc and Jan Schröer: 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 Bernard Leclerc and Jan Schröer: Geiß, Christof; Leclerc, Bernard; Schröer, Jan (2011). "Kac–Moody groups and cluster algebras". Advances in Mathematics. 228 (1): 329–433. arXiv:1001.3545. doi:10.1016/j.aim.2011.05.011.
  • with Bernard Leclerc and Jan Schröer: Geiss, Ch.; Leclerc, B.; Schröer, J. (2013). "Cluster algebras in algebraic Lie theory". Transformation Groups. 18: 149–178. arXiv:1208.5749. doi:10.1007/s00031-013-9215-z.

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

August 20, 2023
christof, geiß, also, called, geiss, hahn, geiß, hahn, german, mathematician, geiß, oberwolfach, 2013geiß, studied, mathematics, university, bayreuth, where, received, 1990, diplom, with, diplomarbeit, darstellungsendliche, algebren, multiplikative, basen, 199. Christof Geiss also called Geiss Hahn or Geiss Hahn is a German mathematician Geiss at Oberwolfach 2013Geiss studied mathematics at the University of Bayreuth where he received in 1990 his Diplom with Diplomarbeit Darstellungsendliche Algebren und multiplikative Basen and in 1993 his doctorate His doctoral thesis Tame distributive algebras and related topics was written under the supervision of Wolfgang Erich Muller and Jose Antonio de la Pena 1 Geiss does research and teaches at the Universidad Nacional Autonoma de Mexico 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 Edit Tame distributive 2 point algebras Representations of Algebras Sixth International Conference August 19 22 1992 Ottawa Ontario Canada Vol 14 American Mathematical Society 1993 pp 193 204 ISBN 9780821860199 with Bernard Leclerc and Jan Schroer Geiss C Leclerc B Schroer J 2005 Semicanonical bases and preprojective algebras PDF Annales Scientifiques de l Ecole Normale Superieure 38 2 193 253 arXiv math 0402448 doi 10 1016 j ansens 2004 12 001 S2CID 15425070 with Bernard Leclerc and Jan Schroer Geiss Christof Leclerc Bernard Schroer Jan September 2007 Semicanonical bases and preprojective algebras II A multiplication formula Compositio Mathematica 143 5 1313 1334 arXiv math 0509483 doi 10 1112 S0010437X07002977 with Bernard Leclerc and Jan Schroer Geiss Christof Leclerc Bernard Schroer Jan 2006 Rigid modules over preprojective algebras Inventiones Mathematicae 165 3 589 632 arXiv math 0503324 Bibcode 2006InMat 165 589G doi 10 1007 s00222 006 0507 y with Bernard Leclerc and Jan Schroer Geiss Christof Leclerc Bernard Schroer Jan 2007 Cluster algebra structures and semicanonical bases for unipotent groups arXiv math 0703039 with Bernard Leclerc and Jan Schroer Geiss Christof Leclerc Bernard Schroer 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 S2CID 2412648 with Bernard Leclerc and Jan Schroer Andrzej Skowronski 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 Bernard Leclerc and Jan Schroer Geiss Christof Leclerc Bernard Schroer Jan 2011 Kac Moody groups and cluster algebras Advances in Mathematics 228 1 329 433 arXiv 1001 3545 doi 10 1016 j aim 2011 05 011 with Bernard Leclerc and Jan Schroer Geiss Ch Leclerc B Schroer J 2013 Cluster algebras in algebraic Lie theory Transformation Groups 18 149 178 arXiv 1208 5749 doi 10 1007 s00031 013 9215 z References Edit Christof Geiss at the Mathematics Genealogy Project Cristof Geiss Investigador Instituto de Matematicas UNAM 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 Retrieved from https en wikipedia org w index php title Christof Geiss amp oldid 1145629132, wikipedia, wiki, book, books, library,

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