Calculus of Variations with Applications in Material Science

• Notions of convexity, relaxation, Γ-convergence
• Thin-film limits
• Functionals with PDE constraints, A-quasiconvexity
• Mathematical models of plasticity

Partial Differential Equations with Applications in Quantum Transport

• Eigenvalue problems
• Dimension reduction, homogenization
• Mathematical models of waveguides

Journal articles

• Relaxation of a model in finite plasticity with two slip systems, Math. Models Methods Appl. Sci. (2011), online (with S. Conti, G. Dolzmann), doi: 10.1142/S0218202513500279
• Relaxation and microstructure in a model for finite crystal plasticity with one slip system in three dimensions, accepted for publication in Discrete Contin. Dyn. Syst. Ser. S (2011) (with S. Conti, G. Dolzmann)
• Another approach to the thin-film Gamma-limit of the micromagnetic free energy in the regime of small samples, Quart. Appl. Math. (2012), online, doi:10.1090/S0033-569X-2012-01323-5
• Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity, SIAM J. Math. Anal. 43 (2011), pp. 2337- 2353 (with S. Conti, G. Dolzmann), doi:10.1137/100810320
• Relaxation of a class of variational models in crystal plasticity, Proc. Royal Soc. London 465 (2009), pp. 1735 - 1742 (with S. Conti, G. Dolzmann), doi:10.1098/rspa.2008.0390

Proceedings and non-peer-reviewed publications

• Geometrically nonlinear models in crystal plasticity and the limit of rigid elasticity , PAMM Proc. Appl. Math. Mech. 10 (2010), pp. 3 - 6 (with S. Conti, G. Dolzmann), doi:10.1002/pamm.201010002
• Analytical aspects of relaxation for models in crystal plasticity, Oberwolfach Reports 7 (2010), pp. 769 - 771 (with S. Conti, G. Dolzmann), doi:10.4171/OWR/2010/14

Theses

• Analytical aspects of relaxation for single-slip models in finite crystal plasticity, Ph.D. thesis, Universität Regensburg (2010)
• Existence of mixed states for Allen-Cahn type equations, Diploma thesis, Universität Augsburg (2007)