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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

Short CV

Conferences, Seminars and Schools


  • Variational Models in Materials Science, Dipartimento di Matematica e Applicazioni "R. Caccioppoli" Napoli, February 8-10 2023
  • Between Regularity and Defects: Variational and Geometrical Methods in Materials Science, ESI Wien February 20-24 2023

    Editorial Activity


    1. Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices (with L. Kreutz and G.P. Leonardi), (2022) [preprint]
    2. Renormalized energy between fractional vortices with topologically induced free discontinuities on 2-dimensional Riemannian manifolds (with R. Badal), (2022) [preprint]
    3. 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) Nonlinear Analysis., to appear [preprint]
    4. Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy (with R. Alicandro and L. De Luca), Nonlinear Analysis., 245 (2022), no. 2, 1059-1133. [preprint]
    5. 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), Arch. Rat. Mech. Anal., 245 (2022), no. 2, 1059–1133. [preprint]
    6. 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]
    7. 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., 243 no. 2 (2022), 559-609 [preprint]
    8. The N-clock model: variational analysis for fast and slow divergence rates of N (with G. Orlando and M. Ruf), Arch. Rat. Mech. Anal., 245 (2022), no. 2, 1135–1196. [preprint]
    9. 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]
    10. 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]
    11. Coarse graining and large-N behaviour of the d-dimensional N-clock model (with G. Orlando and M. Ruf), Interfaces and Free Boundaries , 23 no. 3 (2021), 323-351 [preprint]
    12. 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., 75 (2022), no. 10, 2279-2342. [preprint]
    13. 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]
    14. 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]
    15. 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]
    16. Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (with G.P. Leonardi), Commun. Math. Phys., 375, (2020), 1931–1944 [preprint]
    17. From statistical polymer physics to nonlinear elasticity (with A. Gloria and M. Ruf), Arch. Rat. Mech. Anal., 236, (2020), 1127-1215 [preprint]
    18. A note on relaxation with constraints on the determinant (with N. Fusco), ESAIM: Cocv, (2019), vol. 25, no.41, 1-15 [preprint]
    19. Hemihelical local minimizers in prestrained elastic bi-strips (with M. Ruf and F. Solombrino), Zeitschrift für angewandte Mathematik und Physik, (2017), 68:122 [preprint]
    20. 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]
    21. 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]
    22. On global and local minimizers of prestrained thin elastic rods (with M. Ruf and F. Solombrino), Calc. Var. PDEs, (2017), 56:115 [preprint]
    23. Crystalline Motion of Interfaces Between Patterns (with A. Braides and N.K. Yip), J. Stat. Phys., 165, (2016), no. 2, 74-319 [preprint]
    24. 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]
    25. Interfaces, modulated phases and textures in lattice systems (with A. Braides), Arch. Rat. Mech. Anal., 223, (2017), 977-1017 [preprint]
    26. 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]
    27. 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]
    28. 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]
    29. 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]
    30. Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (with F. Solombrino), Journal of Nonlinear Science, 25, (2015), no.2, 291-313 [preprint]
    31. 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]
    32. Sharp stability inequalities for planar double bubbles (with G.P. Leonardi and F. Maggi), Interfaces and free boundaries, 19(3) (2017), 305–350 [preprint]
    33. 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]
    34. Best constants for the isoperimetric inequality in quantitative form (with G.P. Leonardi), J. Eur. Math. Soc., 15, (2013), no.3, 1101-1129, [preprint]
    35. A selection principle for the sharp quantitative isoperimetric inequality (with G.P. Leonardi), Arch. Rat. Mech. Anal., 206, (2012), no.2, 617-643 [preprint]
    36. 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]
    37. 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]
    38. 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]
    39. 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]
    40. 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]
    41. 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]
    42. Variational analysis of the asymptotics of the XY model (with R. Alicandro), Arch. Rat. Mech. Anal. 192, (2009), no. 3, 501-536 [preprint]
    43. 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]
    44. 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]
    45. 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]
    46. 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
    47. Surface energies in nonconvex discrete systems (with A. Braides) Math. Models Methods Appl. Sci.,17, (2007), no. 7, 985-1037 [preprint]
    48. 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]
    49. 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
    50. L energies on discontinuous functions (with R. Alicandro and A. Braides), Discrete and Continuous Dynamical Systems, 12, (2005), 905-928 [preprint]
    51. 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]
    52. Asymptotic behaviour of solutions to p-laplacian equation, (with C. Trombetti), Asymptotic Analysis 35, (2003), 27-40
    53. Other Publications

    54. A maximal fluctuation estimate of Wulff shapes on 2d lattices, Oberwolfach Rep. (2018)
    55. Atomistic-to-continuum variational analysis of random lattice systems, Oberwolfach Rep., 35, (2015)
    56. Chirality transitions in frustrated ferromagnetic chains, PAMM Proc. Appl. Math. Mech. 15, (2015), 23 – 26
    57. Interfaces of discrete patterns, Oberwolfach Rep., 10 (2013)
    58. The XY spin system and the Ginzburg-Landau energy, Oberwolfach Rep., 5 no. 2 (2008), 1126-1129
    59. 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
    60. 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
    61. Boundary layer energies in discrete systems: an approach via Gamma-convergence, in Communication to SIMAI Congress,Vol. 1 (2006)
    62. Dimension reduction for discrete systems, in Communication to SIMAI Congress,Vol. 1 (2006)
    63. Surface energies in discrete systems, Oberwolfach Reports, 1 (2004), no. 3, 1564-1565
    64. Multiscale analysis for nonlinear variational problems arising from discrete system, Ph.D. Thesis (2004)


    1. SS2012 Calculus of Variations
    2. WS2012/13 Partial Differential Equations - Seminar on Selected Topics in Analysis
    3. SS2013 Gamma-convergence and Applications - Seminar on Homogenization
    4. WS2013/14 Mathematische Grundlagen (MSE) [MA9801] - Seminar on Minimal Surfaces and Functions of Bounded Variation
    5. SS2014 Differential und Integralrechnung (MSE) [MA9802] - Seminar on Advances in Measure Theory
    6. WS2014/15 Mathematische Grundlagen (MSE) [MA9801]
    7. SS2015 Differential und Integralrechnung (MSE) [MA9802] - Seminar on Introducton to evolutionary PDEs and gradient flows
    8. WS2015/16 Mathematische Grundlagen (MSE) [MA9801]
    9. SS2016 Differential und Integralrechnung (MSE) [MA9802]
    10. SS2017 Partial Differential Equations II - Workshop on Selected Topics in Analysis
    11. WS2017/18 Partial Differential Equations - Mathematical Modelling of Materials (MSE)
    12. SS2018 Partial Differential Equations II - Mathematical Modelling in Continuum Mechanics
    13. WS2018/19 Mathematische Grundlagen (MSE) [MA9801] - Mathematical Modelling of Materials (MSE) - Seminar on Singular Integrals and differentiabilty properties of functions
    14. SS2019 Differential und Integralrechnung (MSE) [MA9802] - Fine Properties of Sobolev Functions - Workshop on Advances in Analysis
    15. WS2019/20 Partial Differential Equations I - Geometric Measure Theory and Applications - Mathematical Modelling of Materials (MSE)
    16. SS2020 Partial Differential Equations II: Nonlinear Equations
    17. WS2020/21 Mathematische Grundlagen (MSE) [MA9801] - Mathematical Modelling of Materials (MSE) - An introduction to the Regularity Theory of Elliptic Partial Differential Equations
    18. SS2021 Partial Differential Equations II: Nonlinear Equations - An introduction to the theory of functions of bounded variations
    19. 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
    20. WS2022/23 Calculus of Variations (MSE) [MA5074] - Mathematical Modelling of Materials (MSE) - Hauptseminar: Ausgewählte Themen der Analysis

    News and additional material regarding courses and seminars can be found here