Dr. Leonard Constantin Kreutz
Emmy Noether Junior Research Group
Variational models in Materials Science: from crystalline structures to continuum theories
Professorship Mathematical Continuum Mechanics
Academic Career and Research Areas
From 2010-2014, Dr. Kreutz (*1990) studied mathematics at the Technical University of Munich. He obtained his Master in 2014 at TUM as part of the Elite programm TopMath. In 2018 he obtained his PhD at GSSI, L'Aquila/SISSA, Trieste under the supervision of Prof. Andrea Braides. Between 2017 and 2023 he was a Postdoctoral Fellow at the Universtiy of Vienna, the University of Münster, and part of the ‘Center for Nonlinear Analysis’ at Carnegie Mellon University, Pittsburgh. For the summer term 2019 he spent a semester as a substitute Professor at TUM. Since May 2023, he leads his own DFG Emmy Noether Junior Research Group at TUM.
Dr. Kreutz conducts research in the Calculus of Variations - a field of mathematical analysis. He is interested in the analysis of discrete and continuous models arising from materials science. In particular, the main focus of his research interests are the derivation of effective theories starting from discrete models, and the advancement of the molecular mechanics approach.
The problems are investigated using tools from the calculus of variations, such as Gamma-convergence and geometric rigidity estimates, techniques from geometric measure theory, discrete mathematics, and from free discontinuity problems.
Awards
- Emmy Noether Junior Research Group of the German Research Foundation (2022)
- CIRM Research in Pairs (with M. Cicalese (TUM), G.P. Leonardi (Trento)) (2020)
- TopMath Best Study Award (2013)
Key Publications (all publications)
Friedrich M., Kreutz L., Schmidt B.: “Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disc energy”. Arch. Ration. Mech. Anal. 240 (2021), 627-698.
AbstractChambolle A., Kreutz L.: “Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems”. Multiscale Modeling & Simulation 21 (2023), 34-79.
AbstractBach A., Cicalese M., Kreutz L., Orlando G.. “The antiferromagnetic XY model on the triangular lattice: topological singularities”. Indiana Univ. Mat. J., Indiana Univ. Mat. J., 71 (2022), no.6, 2411–2475.
AbstractFriedrich M., Kreutz L.: “Crystallization in the hexagonal lattice for ionic dimers”. Math. Models Methods Appl. Sci. 29 (2019) 1853–1900.
AbstractBach A., Cicalese M., Kreutz L., Orlando O.: “The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling”. Calc. Var. Partial Differ. Equ. 60 (2021), 149.
Abstract