Emanuele Haus
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Professor of Mathematical Analysis
email: emanuele.haus@uniroma3.it

University of Roma Tre
Dipartimento di Matematica e Fisica





My CV



Research group of Dynamical Systems in Roma Tre

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Current position

Full Professor at the University of Roma Tre, since November 2024


Previous positions

• Associate Professor at the University of Roma Tre, February 2022-October 2024
• RTD-B (tenure-track assistant professor) at the University of Roma Tre, February 2019-January 2022
• RTD-A (fixed-term assistant professor) at the University of Naples "Federico II", December 2016-January 2019
• Research collaborator ("co.co.co.") at the University of Roma Tre, November 2016-December 2016
  within the ERC project HamPDEs (Hamiltonian PDEs and small divisor problems: a dynamical systems approach)
• "Assegnista di ricerca" (postdoc) at the University of Naples "Federico II", August 2014-July 2016
  within the STAR project "Onde d'acqua, PDE e sistemi dinamici con piccoli divisori" ("Water waves, PDEs and dynamical systems with small divisors")
  and the ERC project HamPDEs (Hamiltonian PDEs and small divisor problems: a dynamical systems approach)
• "Assegnista di ricerca" (postdoc) at the University of Rome - Sapienza, March 2013-July 2014
  within the ERC project HamPDEs (Hamiltonian PDEs and small divisor problems: a dynamical systems approach)
• Postdoc at the University of Nantes, January 2012-December 2012
  within the ANR project HANDDY (Hamiltonian and Dispersive equations: Dynamics)


Education

• Graduated in Mathematics and Applications at the University of Milan, October 2008
• PhD in Mathematics at the University of Milan, March 2012
Papers

• P. Baldi, F. Giuliani, M. Guardia and E. Haus, Effective chaos for the Kirchhoff equation on tori,
  to appear in Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire pdf
• E. Haus, B. Langella, A. Maspero and M. Procesi, Reducibility and nonlinear stability for a quasi-periodically forced NLS,
  Pure and Applied Mathematics Quarterly, 20(3, Special issue in honor of Claudio Procesi's 80th birthday), 1313-1370, 2024 pdf
• P. Baldi and E. Haus, Normal form and dynamics of the Kirchhoff equation,
  Bollettino dell'Unione Matematica Italiana, 16(2), 337-349, 2023 pdf
• P. Baldi and E. Haus, Longer lifespan for many solutions of the Kirchhoff equation,
  SIAM Journal on Mathematical Analysis (SIMA), 54(1), 306-342, 2022 pdf
• P. Baldi and E. Haus, Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems,
  Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 40(5), 1051-1091, 2023 pdf
• M. Guardia, Z. Hani, E. Haus, A. Maspero and M. Procesi, Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation,
  Journal of the European Mathematical Society (JEMS), 25(4), 1497-1551, 2023 pdf
• P. Baldi and E. Haus, On the normal form of the Kirchhoff equation,
  Journal of Dynamics and Differential Equations, special issue in honor of Walter Craig, 33(3), 1203-1230, 2021 pdf
• E. Haus and A. Maspero, Growth of Sobolev norms in time dependent semiclassical anharmonic oscillators,
  Journal of Functional Analysis, 278 (2), Article 108316, 2020 pdf
• P. Baldi and E. Haus, On the existence time for the Kirchhoff equation with periodic boundary conditions,
  Nonlinearity, 33(1), 196-223, 2020 pdf
• M. Guardia, Z. Hani, E. Haus, A. Maspero and M. Procesi, A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation,
  Rendiconti Lincei Matematica e Applicazioni, 30(4), 865-880, 2019 pdf
• P. Baldi, E. Haus and C. Mantegazza, Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature,
  Mathematische Annalen, 375(3), 1857-1881, 2019 pdf
• P. Baldi, M. Berti, E. Haus and R. Montalto, Time quasi-periodic gravity water waves in finite depth,
  Inventiones Mathematicae, 214 (2), 739-911, 2018 pdf
• P. Baldi, M. Berti, E. Haus and R. Montalto, KAM for gravity water waves in finite depth,
  Rendiconti Lincei Matematica e Applicazioni, 29 (2), 215-236, 2018 pdf
• P. Baldi, E. Haus and R. Montalto, Controllability of quasi-linear Hamiltonian NLS equations,
  Journal of Differential Equations, 264 (3), 1786-1840, 2018 pdf
• P. Baldi, E. Haus and C. Mantegazza, Non-existence of theta-shaped self-similarly shrinking networks moving by curvature,
  Communications in Partial Differential Equations, 43 (3), 403-427, 2018 pdf
• E. Haus and M. Procesi, KAM for beating solutions of the quintic NLS,
  Communications in Mathematical Physics, 354 (3), 1101-1132, 2017 pdf
• P. Baldi and E. Haus, A Nash-Moser-Hörmander implicit function theorem with applications to control and Cauchy problems for PDEs,
  Journal of Functional Analysis, 273 (12), 3875-3900, 2017 pdf
• P. Baldi, E. Haus and C. Mantegazza, On the classification of networks self-similarly moving by curvature,
  Geometric Flows, 2, 125-137, 2017 pdf
• P. Baldi, E. Haus and C. Mantegazza, Networks self-similarly moving by curvature with two triple junctions,
  Rendiconti Lincei Matematica e Applicazioni, 28, 323-338, 2017 pdf
• P. Baldi, G. Floridia and E. Haus, Exact controllability for quasi-linear perturbations of KdV,
  Analysis and Partial Differential Equations, 10 (2), 281-322, 2017 pdf
• M. Guardia, E. Haus and M. Procesi, Growth of Sobolev norms for the analytic NLS on T^2,
  Advances in Mathematics, 301 (1), 615-692, 2016 pdf
• E. Haus and M. Procesi, Growth of Sobolev norms for the quintic NLS on T^2,
  Analysis and Partial Differential Equations, 8 (4), 883-922, 2015 pdf
• L. Corsi, E. Haus and M. Procesi, A KAM result on compact Lie groups,
  Acta Applicandae Mathematicae, 137, 41-59, 2015 pdf
• E. Haus and D. Bambusi, Asymptotic behavior of an elastic satellite with internal friction,
  Mathematical Physics, Analysis and Geometry, 18 (1), Art. 14, 2015 pdf
• E. Haus and L. Thomann, Dynamics on resonant clusters for the quintic non linear Schrödinger equation,
  Dynamics of Partial Differential Equations, 10 (2), 157-169, 2013 pdf
• D. Bambusi and E. Haus, Asymptotic stability of synchronous orbits for a gravitating viscoelastic sphere,
  Celestial Mechanics and Dynamical Astronomy, 114 (3), 255-277, 2012 pdf


Main research interests

• Dynamics of nonlinear Hamiltonian and dispersive PDEs:
  - Birkhoff Normal form and KAM theory
  - quasi-periodic solutions
  - energy transfer between Fourier modes, beatings and growth of Sobolev norms
  - dynamics of water waves
  - Nash-Moser theorems
  - control and Cauchy problems
• Planar networks moving by curvature:
  - properties of self-shrinking networks
• Dynamics of a viscoelastic satellite in a gravitational field:
  - orbital and asymptotic stability of spin-orbit resonances