Office: V5-229
Phone: +49 521 106 5036
Office hours: Thursdays, 14:00 - 16:00
Email: lampe@math.uni-bielefeld.de
I am a postdoc in the Bielefeld Representation Theory Research group (BIREP) under Professor Dr. Henning Krause at the Faculty of Mathematics at the University of Bielefeld.
I graduated from the University of Bonn, where I used to be a student of Professor Dr. Jan Schröer in the Algebra and Representation Theory Research group.
My field of interest is the representation theory of algebras. I am especially interested in quivers, cluster algebras, and quantum groups. My studies focus on the connection between dual canonical bases and quantum cluster algebras. For an overview please look at two posters I have created for the annual poster exhibition of the Bonn International Graduate School in Mathematics (BIGS).
Here you can find a short curriculum vitae, and informations about my travels including selected talks.
Quantum cluster algebras of type A and the dual canonical basis, January 2011. The article concerns the subalgebra Uv(w) of the quantized universal enveloping algebra of the complex Lie algebra sln+1 associated with a particular Weyl group element of length 2n. We verify that Uv(w) can be endowed with the structure of a quantum cluster algebra of type An. [arXiv]
A quantum cluster algebra of Kronecker type and the dual canonical basis, Int. Math. Res. Notices 2011, no. 13, 2970-3005. I study the quantized cluster algebra structure induced by the dual canonical basis associated with a terminal module over the path algebra of the Kronecker quiver. [Journal] [arXiv]
Cluster Algebren vom Rang 2, my diploma thesis, November 2007. I present formulae for the coefficients of cluster algebras of rank two. [pdf]
Im Sommersemester 2011 leite ich den Übungsbetrieb zur Vorlesung Einführung in die Darstellungstheorie bei Prof. Dr. Henning Krause. [eKVV]
Im Wintersemester 2011/2012 leite ich eine Übung zur Vorlesung Lineare Algebra I bei Prof. Dr. Henning Krause. [eKVV]
Im Sommersemester 2012 biete ich zusammen mit Prof. Dr. Henning Krause und Dr. Nils Mahrt ein Proseminar: Einführung in Cluster-Algebren [eKVV] an; ferner leite ich eine Übung zur Vorlesung Lineare Algebra II bei Prof. Dr. Henning Krause. [eKVV]
Together with colleagues from Bielefeld I have organized a Summer School on Polynomial Representations of the General Linear Group which was held in August 2011 in Bad Driburg.
A selection of links that you might find interesting. You can find more links here.
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