Analysis, number theory and differential geometry

• Hypercomplex analytic automorphic forms and Maaß forms on the orthogonal and unitarty group
• Function theories in Rⁿ and Harmonic analysis on Riemannian spin manifolds
• Partial differential equations in Rⁿ and on manifolds

Summer term 2012:

• Höhere Mathematik II (theoretical lectures V2 + exercise lessons Ü1)
• Exercise lessons for Linear Algebra II for Physicists

Winter term 2011/12

• Höhere Mathematik I (theoretical lectures V3 + exercise lessons Ü2) 
• Proseminar Basic Topics in Topology

Summer term 2011:

• Topology (theoretical lectures V2 + exercise lessons Ü1)

Winter term 2010/11:

• Exercise lessons to the lectures Mathematics for Mechanical Engineering I and Linear Algebra I
• Proseminar on Cristallographic groups

on request

Running projects 

• Diploma Thesis of Wiebke Klement, Department of Mathematics, TU Darmstadt
• PhD Thesis of Dennis Grob "Construction, properties and approximation of hypercomplex kernel functions and their application to partial differential equations", RWTH Aachen.

Completed projects

• Diploma Thesis of Dennis Grob "Szegökerne und Abbildungen auf die dreidimensionale Einheitssphäre", Lehrstuhl II für Mathematik, RWTH Aachen, June 2007.
• Diploma Thesis of Jörg Rüsges "Bergmankerne und Abbildungen auf die Einheitskugel", Lehrstuhl II für Mathematik, RWTH Aachen, April 2006.

Past conferences

• Main organizer of the Annual Workshop on Hypercomplex Analysis and Applications 19.2.2010-20.2.2010 (Universität Paderborn)
• Co-Organitation of the conference Function Theories in Higher Dimensions, (Tampere, 12-16. June 2006)
• Co-Organization of four minisymposia at ICIAM 2003 (Sydney, 7-11 July 2003) entitled Applications of Clifford algebras and Clifford Analysis