Research

• Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential (with Johannes Zimmer), Nonlinearity 24 (4), 1137-1163 (2011).
• Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction (with Johannes Zimmer), Discrete Contin. Dyn. Syst. A 25(3), 915-931 (2009).
• Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction (with Johannes Zimmer), Nonlinear Anal. 70(9), 3057-3436 (2009).
• Topology and geometry of nontrivial rang-one convex hulls for two-by-two matrices (with Johannes Zimmer), ESAIM Control Optim. Calc. Var. 12(2), 253-270 (2006).
• Towards the efficient computation of effective properties of microstructured materials (with Johannes Zimmer and Isaac Chenchiah), Comptes Rendus Mecanique 332(3), 169-174 (2004).

• A variational approach to travelling waves in particle chains with on-site potential, Ph.D. thesis, MPI Leipzig, 2007.
• Algebraic methods for convexity notions in the calculus of variations, M.Sc. thesis, TU München, 2003.
• Lokale gleichmäßige exponentielle Stabilität bei gewissen singulär gestörten Systemen gewöhnlicher Differentialgleichungen, undergraduate research project, TU München, 2001.

Teaching (problem sessions, except where noted)

• Analysis für Informatik (winter 2011/12)
• Analysis 1&2 im Speziellen Studienangebot TUM twoinone (TU München, summer & autumn 2011)
• Analysis 1 (TU München, winter 2010/11)
• Funktionentheorie (TU München, summer 2010, lecture course)
• Höhere Mathematik 2 für Elektrotechnik (TU München, summer 2010)
• Variationsprobleme (TU München, winter 2009/10, reading course)
• Höhere Mathematik 3 für Maschinenwesen und Chemieingenieurwesen (TU München, winter 2009/10)
• Funktionentheorie (TU München, summer 2009, lecture course)
• Konvexe Analysis (TU München, summer 2009)
• Höhere Mathematik 3 für Maschinenbauer (Aachen, spring 2008)
• Summer school Modelling across the scales (Bath, summer 2006)
• Analysis in one real variable (Bath, spring 2006)
• Vector calculus and PDE (Bath, winter 2005/06)
• Algebra 2 (Bath, spring 2005)
• Maß- und Integrationstheorie (Leipzig, winter 2003/04)
• Lineare Algebra und Analytische Geometrie 2 (TU München, summer 2002)
• Lineare Algebra und Analytische Geometrie 1 (TU München, winter 2001/02)
• Analysis 4 (TU München, summer 2001)

Service

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