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.
ISBN9780821860199.
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.
^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