In May 2021 I have obtained the Italian National Qualification
(ASN) for the role of Professore Ordinario (Full Professor) in the
Sector 01/A3 (Mathematical Analysis, Probability and Mathematical
Statistics)
Previous positions
• 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,
preprint 2023
pdf
• E. Haus, B. Langella, A. Maspero and M. Procesi, Reducibility and nonlinear stability for a quasi-periodically forced NLS,
to appear in Pure and Applied Mathematics Quarterlypdf
• P. Baldi and E. Haus, Normal form and dynamics of the Kirchhoff
equation,
to appear in Bollettino dell'Unione Matematica Italianapdf
• 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,
to appear in Annales de l'Institut Henri
Poincaré (C) Analyse Non Linéairepdf
• 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,
to appear in Journal of the European Mathematical Society (JEMS)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, 2021pdf
• 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, 2019pdf
• 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