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Technische Universität München
Foto von Leonard Kreutz

Dr. Leonard Kreutz

Technische Universität München

Professur für Mathematische Kontinuumsmechanik (Prof. Cicalese)

Postadresse

Boltzmannstr. 3
85748 Garching b. München

Short Vita

  • 2023 - now Emmy Noether Junior Research Group of the German Research Foundation, Technical University of Munich
  • 2022 - 2023 Postdoc at the Center of Nonlinear Analysis at Carnegie Mellon University under the supervision of Irene Fonseca and Giovanni Leoni
  • 2018 - 2022 Postdoc at the Institute for Computational and Applied Mathematics WWU Münster and the Cluster of Excellence in the group Calculus of Variations
  • 2019       Acting professor at TU München at M6 for Mathematical Modelling
  • 2017 - 2018 Postdoc at Universität Wien in the group Variational Methods and Applications
  • 2014 - 2018 PhD student at the Gran Sasso Science Institute under the supervision of Andrea Braides
  • 2013 - 2014 Honours Master in Mathematics at TU München
  • 2010 - 2013 Bachelor in Mathematics at TU München

Rerearch Interests

  • Calculus of Variations
  • Multiscale Methods
  • Atomistic models and discrete-to-continuum limits
  • Free-discontinuity problems

Publications

  • Crystallinity of the homogenized energy density of periodic lattice systems (with A. Chambolle), Multiscale Modeling & Simulation, 21.1 (2023), 34-79.   
  • Derivation of effective theories for thin 3D nonlinearly elastic rods with voids (with M. Friedrich, K. Zemas), (2023) Preprint.
  • A proof of finite crystallization via stratification (with M. Friedrich). (2022) Preprint.
  • Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices (with M. Cicalese and G.P. Leonardi), (2022), Commun. Math. Phys., to appear.
  • From atomistic systems to linearized continuum models for elastic materials with voids (with M. Friedrich, K. Zemas), Nonlinearity, 36 (2022), no. 1, 679.
  • The antiferromagnetic XY model on the triangular lattice: topological singularities (with A. Bach, M. Cicalese, G. Orlando). Indiana Univ. Mat. J., 71 (2022), no.6, 2411-2475.
  • Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces (with M. Friedrich, K. Zemas), (2021) Preprint.
  • Emergence of rigid Polycrystals from atomistic Systems with Heitmann-Radin sticky disk energy (with M. Friedrich, B. Schmidt) . Arch. Ration. Mech. Anal., 240.2 (2021) 627-698.
  • The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling (with A. Bach, M. Cicalese, G. Orlando). Calc. Var. PDEs, (2021), 60:149.
  • Microscopic validation of a variational model of epitaxially strained crystalline film (with P. Piovano). SIAM J. Math. Anal., 53.1 (2021), 453-490.
  • Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice (with M. Friedrich). Nonlinearity, 33 (2020), 1240-1296.
  • Crystallization in the hexagonal lattice for ionic dimers (with M. Friedrich). Math. Models Methods Appl. Sci., 29 (2019), 1853-1900.
  • A homogenization result for weak membrane energies. (2018) Preprint.
  • Optimal design of lattice surface energies (with A. Braides). Calc. Var. PDEs, (2018) 57:97.
  • An integral-representation result for continuum limits of discrete energies with multi-body interactions (with A. Braides). SIAM J. Math. Anal., 50.2 (2018) 1485-1520.
  • Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Rendiconti Lincei-Matematica e Applicazioni, 28.1 (2017) 103-117.
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