Leonard Kreutz

Research interests:

• Calculus of Variations

• Multiscale Methods

• Atomistic models and discrete-to-continuum limits

Short vita:

• Postdoc at the Center of Nonlinear Analysis at Carnegie Mellon University under the supervision of Irene Fonseca and Giovanni Leoni (2022 - 2023)

• Postdoc at the Institute for Computational and Applied Mathematics WWU Münster and the Cluster of Excellence in the group Calculus of Variations (2018 - now)

• Acting professor at TU München at M6 for Mathematical Modelling (April 2019 - September 2019)

• Postdoc at Universität Wien in the group Variational Methods and Applications (2017-2018)

• PhD student at the Gran Sasso Science Institute under the supervision of Andrea Braides (2014 - 2018)

• Honours Master in Mathematics at TU München (2013 - 2014)

• Bachelor in Mathematics at TU München (2010 - 2013)

Publications:

• (with M. Cicalese, G. P. Leonardi) Wulff-crystals in FCC and HCP lattices. Preprint [Preprint]
  
  
• (with M. Friedrich, K. Zemas) From atomistic systems to linearized continuum models for elastic materials with voids. Preprint [Preprint]
  
  
• (with M. Friedrich, K. Zemas) Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces. Preprint [Preprint]
  
  
• (with A. Chambolle) Crystallinity of the homogenized energy density of periodic lattice systems. submitted [Preprint]
  
  
• (with M. Friedrich, B. Schmidt) Emergence of rigid Polycrystals from atomistic Systems with Heitmann-Radin sticky disk energy. Arch. Ration. Mech. Anal.. [Preprint, Article]
  
  
• (with A. Bach, M. Cicalese, G. Orlando) The antiferromagnetic XY model on the triangular lattice: topological singularities. Indiana Univ. Math. J.. [Preprint]
  
  
• (with A. Bach, M. Cicalese, G. Orlando) The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling. Calc. Var. PDE. [Preprint, Article]
  
  
• (with M. Friedrich) Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Nonlinearity 33 (2020), pp. 1240–1296. [Preprint, Article]
  
  
• (with P. Piovano) Microscopic validation of a variational model of epitaxially strained crystalline film. SIAM J. Math. Anal., to appear [Preprint, Article]
  
  
• (with M. Friedrich) Crystallization in the hexagonal lattice for ionic dimers. Math. Models Methods Appl. Sci. (M3AS) 29 (2019), pp. 1853–1900 [Preprint, Article]
  
  
• A homogenization result for weak membrane energies.Preprint [Preprint]
  
  
• (with A. Braides) Optimal design of lattice surface energies. Calc. Var. PDE 57, 97 (2018) [Preprint, Article]
  
  
• (with A. Braides) An integral-representation result for continuum limits of discrete energies with multi-body interactions. SIAM J. Math. Anal. 50(2) (2018) 1485–1520 [Preprint, Article]
  
  
• (with A. Braides) Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Rendiconti Lincei-Matematica e Applicazioni 28(1) (2017) 103–117 [Preprint, Article]