## Prof. Dr. Marco Cicalese

Technische Universität München Zentrum Mathematik - M7 Boltzmannstraße 3 85747 Garching Room: 03.08.038 Phone: +49-89-289-17913 eMail: cicalese@ma.tum.de |

## Research interests

- Variational analysis of atomistic and continuous physical systems
- Analysis of problems with multiple scales
- Nonlinear-nonlocal problems in Continuum Mechanics
- Stability of Geometric and functional inequalities

## Short CV

- 2012 - Professor at TU München
- 2005 - 2012 Assistant Professor at University of Naples
- 2004 - 2005 Research contract at SISSA (Functional Analysis Group with Prof. G. Dal Maso)
- 2004 PhD University of Naples (advisor: Prof. A. Braides)

## Conferences, Seminars and Schools

**Upcoming**

- Winter School - Analytical Methods in Quantum and Continuum Mechanics, Politecnico di Torino, November 29 - December 3 2021
- Calculus of Variations-Back to Carthage, 16-22 May 2022
- 20 years of Summer Schools on Calc Var in Rome,13-18 June 2022

## Editorial Activity

- Associate Editor for Acta Applicandae Mathematicae
- Associate Editor for Mathematics in Engineering

## Publications

- A classical S^2 spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings (with G. Orlando and M. Ruf), (2021) [preprint]
- Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy (with R. Alicandro and L. De Luca), (2021) [preprint]
- The Wulff shape of the FCC and the HCP lattices (with L. Kreutz and G.P. Leonardi), (2021) [preprint]
- Variational analysis of the J_1-J_2-J_3 model: a nonlinear lattice version of the Aviles-Giga functional (with M. Forster and G. Orlando), (2021) [preprint]
- Phase-field approximation of functionals defined on piecewise-rigid maps (with M. Focardi and C.I. Zeppieri),
*Journal of Nonlinear Science*, (2021) 31:78 [preprint] - Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches (with R. Alicandro, A. Braides, L. De Luca and A. Piatnitski),
*Arch. Rat. Mech. Anal.*, to appear (2020) [preprint] - The N-clock model: variational analysis for fast and slow divergence rates of N (with G. Orlando and M. Ruf), (2020) [preprint]
- The antiferromagnetic XY model on the triangular lattice: Topological singularities (with A. Bach, L. Kreutz and G. Orlando),
*Indiana Univ. Mat. J.*, to appear (2020) [preprint] - The antiferromagnetic XY model on the triangular lattice: Chirality transitions at the surface scaling (with A. Bach, L. Kreutz and G. Orlando),
*Calc. Var. PDEs*(2021) 60:149 [preprint] - Coarse graining and large-N behaviour of the d-dimensional N-clock model (with G. Orlando and M. Ruf),
*Interfaces and Free Boundaries*, to appear (2020) [preprint] - From the N-clock model to the XY model: emergence of concentration effects in the variational analysis (with G. Orlando and M. Ruf),
*Comm. Pure Appl. Math.*, to appear (2019) [preprint] - Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions (with A. Bach and A. Braides)
*SIAM J. Math. Anal.*,**52**(2020) no. 4, 3600-3665 [preprint] - Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions (with M. Forster and G. Orlando),
*SIAM J. Math. Anal.*,**51**no.2 (2019), 4848-4893 [preprint] - Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (with A. Bach and M. Ruf),
*SIAM J. Math. Anal.*,**53**no. 2 (2021), 2275-2318 [preprint] - Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (with G.P. Leonardi),
*Commun. Math. Phys.,***375**, (2020), 1931–1944 [preprint] - From statistical polymer physics to nonlinear elasticity (with A. Gloria and M. Ruf),
*Arch. Rat. Mech. Anal.*,**236**, (2020), 1127-1215 [preprint] - A note on relaxation with constraints on the determinant (with N. Fusco),
*ESAIM: Cocv,*(2019), vol. 25, no.41, 1-15 [preprint] - Hemihelical local minimizers in prestrained elastic bi-strips (with M. Ruf and F. Solombrino),
*Zeitschrift für angewandte Mathematik und Physik*, (2017), 68:122 [preprint] - Gamma-convergence analysis of a generalized XY model: fractional vortices and string defects (with R. Badal, L. De Luca and M. Ponsiglione),
*Commun. Math. Phys.*358, (2018), no. 2, 705–739. [preprint] - Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (with M. Ruf and A. Braides),
*Analysis & PDE*, (2018), vol. 11, no.2, 499-553 [preprint] - On global and local minimizers of prestrained thin elastic rods (with M. Ruf and F. Solombrino),
*Calc. Var. PDEs*, (2017), 56:115 [preprint] - Crystalline Motion of Interfaces Between Patterns (with A. Braides and N.K. Yip),
*J. Stat. Phys.*,**165**, (2016), no. 2, 74-319 [preprint] - Ground states of a two-phase model with cross and self attractive interactions (with L. De Luca, M. Novaga and M. Ponsiglione),
*SIAM J. Math. Anal.*,**48**(2016), no. 5, 3412–3443 [preprint] - Interfaces, modulated phases and textures in lattice systems (with A. Braides),
*Arch. Rat. Mech. Anal.*,**223**, (2017), 977-1017 [preprint] - Discrete spin systems on random lattices at the bulk scaling (with M. Ruf),
*Disc. Cont. Dyn. Sys.-S*,**10**, (2017), no.1, 101-117 [preprint] - Chirality transitions in frustrated S2-valued spin systems (with F. Solombrino and M. Ruf),
*Math. Models Methods Appl. Sci.*,**26**, (2016), no. 8, 1481-1529 [preprint] - Improved convergence theorems for bubble clusters. I. The planar case (with G.P. Leonardi and F. Maggi),
*Indiana Univ. Mat. J.*,**65**, (2016), 1979-2050 [preprint] - Domain formation in magnetic polymer composites: an approach via stochastic homogenization (with R. Alicandro and M. Ruf),
*Arch. Rat. Mech. Anal.*,**218**, (2015), no. 2, 945-984 [preprint] - Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (with F. Solombrino),
*Journal of Nonlinear Science*,**25**, (2015), no.2, 291-313 [preprint] - Q-tensor continuum energies as limits of head-to-tail symmetric spin systems (with A. Braides and F. Solombrino),
*SIAM J. Math. Anal.*,**47**, (2015), 2832–2867, [preprint] - Sharp stability inequalities for planar double bubbles (with G.P. Leonardi and F. Maggi),
*Interfaces and free boundaries*,**19**(3) (2017), 305–350 [preprint] - Droplet Minimizers of an Isoperimetric Problem with long-range interactions (with E.N. Spadaro),
*Communications on Pure and Applied Mathematics*,**66**, (2013), no.28, 1298-1333 [preprint] - Best constants for the isoperimetric inequality in quantitative form (with G.P. Leonardi),
*J. Eur. Math. Soc.**,***15**, (2013), no.3, 1101-1129, [preprint] - A selection principle for the sharp quantitative isoperimetric inequality (with G.P. Leonardi),
*Arch. Rat. Mech. Anal.**,***206**, (2012), no.2, 617-643 [preprint] - Phase transitions in presence of surfactant: from discrete to continuum (with R. Alicandro and L. Sigalotti),
*Interfaces and free boundaries**,***14**, (2012), no.1, 65-103 [preprint] - Asymptotic analysis of a second-order singular perturbation model for phase transitions (with E.N. Spadaro and C.I. Zeppieri ),
*Calc. Var. and PDE*,**41**, (2011), no.1-2, 127-150 [preprint] - Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity (with R. Alicandro and A. Gloria),
*Arch. Rat. Mech. Anal.*,**200**, (2011), no. 3, 881-942 [preprint] - Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocation energies (with R. Alicandro and M. Ponsiglione),
*Indiana Univ. Math. J.*,**60**, (2011), no.1, 171-208 [preprint] - The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions (with Y. Nagase and G. Pisante),
*Advances in Calculus of Variations*,**3**, (2010), no. 3, 321-344 [preprint] - Discrete-to-continuum limits for strain-alignment-coupled systems: magnetostrictive solids, ferroelectric crystals and nematic elastomers (with A. De Simone and C.I. Zeppieri),
*Networks and Heterogeneous Media***4**, (2009), no. 4, 667-708 [preprint] - Variational analysis of the asymptotics of the XY model (with R. Alicandro),
*Arch. Rat. Mech. Anal.***192**, (2009), no. 3, 501-536 [preprint] - A variational description of bulk energies for bounded and unbounded spin systems (with R. Alicandro and A. Gloria),
*Nonlinearity***21**, (2008), no. 8, 1881-1910 [preprint] - Continuum limits of discrete thin films with superlinear growth densities (with R. Alicandro and A. Braides),
*Calc. Var. and PDE***33**, (2008), no. 3, 267-297 [preprint] - Mathematical derivation of a rubber-like stored energy functional (with R. Alicandro and A. Gloria),
*C. R. Acad. Sci. Paris, Ser. I***345**, (2007), 479-482 [preprint] - A sharp estimate of the extinction time for the mean curvature flow (with B.Brandolini, C. Nitsch and C. Trombetti),
*Appl. Math. Lett.***20**, (2007), no. 5, 551-557 - Surface energies in nonconvex discrete systems (with A. Braides)
*Math. Models Methods Appl. Sci.*,**17**, (2007), no. 7, 985-1037 [preprint] - Phase and antiphase boundaries in binary discrete systems: a variational viewpoint (with R. Alicandro and A. Braides),
*Networks and Heterogeneous Media*,**1**, (2006), no. 1, 85-107 [preprint] - Some remarks on the extinction time for the mean curvature flow (with B.Brandolini, C. Nitsch and C. Trombetti),
*Le Matematiche*,**60**, (2005), 411-417 - L
^{∞}energies on discontinuous functions (with R. Alicandro and A. Braides),*Discrete and Continuous Dynamical Systems*,**12**, (2005), 905-928 [preprint] - A general integral representation result for continuum limits of discrete energies with superlinear growth, (with R. Alicandro)
*SIAM J. Math. Anal.***36**, (2004), 1-37 [preprint] - Asymptotic behaviour of solutions to p-laplacian equation, (with C. Trombetti),
*Asymptotic Analysis***35**, (2003), 27-40 - A maximal fluctuation estimate of Wulff shapes on 2d lattices,
*Oberwolfach Rep.*(2018) - Atomistic-to-continuum variational analysis of random lattice systems,
*Oberwolfach Rep.*,**35**, (2015) - Chirality transitions in frustrated ferromagnetic chains,
*PAMM Proc. Appl. Math. Mech.***15**, (2015), 23 – 26 - Interfaces of discrete patterns,
*Oberwolfach Rep.*,**10**(2013) - The XY spin system and the Ginzburg-Landau energy,
*Oberwolfach Rep.*,**5**no. 2 (2008), 1126-1129 - Convergence analysis of the Böl-Reese discrete model for rubber (with R. Alicandro and A. Gloria), in
*Continuum Models and Discrete Systems; Cmds 11 (D. Jeulin and S. Forest eds)*, Presses De L'Ecole Des Mines, 2008 - Dimension reduction for discrete systems (with R. Alicandro and A. Braides), in
*Applied and Industrial Mathematics in Italy II (G.Fotia, L.Puccio eds.)*, World Sci. (2007), 25-36 - Boundary layer energies in discrete systems: an approach via Gamma-convergence, in
*Communication to SIMAI Congress*,Vol. 1 (2006) - Dimension reduction for discrete systems, in
*Communication to SIMAI Congress*,Vol. 1 (2006) - Surface energies in discrete systems,
*Oberwolfach Reports*,**1**(2004), no. 3, 1564-1565 - Multiscale analysis for nonlinear variational problems arising from discrete system,
*Ph.D. Thesis*(2004)

## Other Publications

## Teaching

- SS2012 Calculus of Variations
- WS2012/13 Partial Differential Equations - Seminar on Selected Topics in Analysis
- SS2013 Gamma-convergence and Applications - Seminar on Homogenization
- WS2013/14 Mathematische Grundlagen (MSE) [MA9801] - Seminar on Minimal Surfaces and Functions of Bounded Variation
- SS2014 Differential und Integralrechnung (MSE) [MA9802] - Seminar on Advances in Measure Theory
- WS2014/15 Mathematische Grundlagen (MSE) [MA9801]
- SS2015 Differential und Integralrechnung (MSE) [MA9802] - Seminar on Introducton to evolutionary PDEs and gradient flows
- WS2015/16 Mathematische Grundlagen (MSE) [MA9801]
- SS2016 Differential und Integralrechnung (MSE) [MA9802]
- SS2017 Partial Differential Equations II - Workshop on Selected Topics in Analysis
- WS2017/18 Partial Differential Equations - Mathematical Modelling of Materials (MSE)
- SS2018 Partial Differential Equations II - Mathematical Modelling in Continuum Mechanics
- WS2018/19 Mathematische Grundlagen (MSE) [MA9801] - Mathematical Modelling of Materials (MSE) - Seminar on Singular Integrals and differentiabilty properties of functions
- SS2019 Differential und Integralrechnung (MSE) [MA9802] - Fine Properties of Sobolev Functions - Workshop on Advances in Analysis
- WS2019/20 Partial Differential Equations I - Geometric Measure Theory and Applications - Mathematical Modelling of Materials (MSE)
- SS2020 Partial Differential Equations II: Nonlinear Equations
- WS2020/21 Mathematische Grundlagen (MSE) [MA9801] - Mathematical Modelling of Materials (MSE) - An introduction to the Regularity Theory of Elliptic Partial Differential Equations
- SS2021 Partial Differential Equations II: Nonlinear Equations - An introduction to the theory of functions of bounded variations
- WS2021/22 Mathematische Grundlagen (MSE) [MA9801] - Mathematical Modelling of Materials (MSE) - An introduction to the Regularity Theory of Elliptic Partial Differential Equations - Winter School on Topological singularities in classical spin systems: a variational perspective