## Research

Currently my research interests are

• Birkhoff coordinates for integrable systems
• Normal form for PDE's
• Long time dynamics of dispersive equations
• Weak turbulence

#### Publications

1. D. Bambusi, B. Grebert, A. Maspero, D. Robert: Reducibility of the Quantum Harmonic Oscillator in d-dimensions with Polynomial Time Dependent Perturbation, submitted (2017).
3. A. Maspero, D. Robert: On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms, submitted (2016).
5. D. Bambusi, A. Maspero: Freezing of energies of a soliton in an external potential, Comm. Math. Phys. (2016), in press.
7. T. Kappeler, A. Maspero, J.C. Molnar, P. Topalov: On the convexity of the KdV Hamiltonian, Comm. Math. Phys. (2016), in press. [Link]
8. A. Maspero, B. Schaad: One smoothing property for the KdV on \$\mathbb R\$ , Discrete Contin. Dyn. Syst., Vol. 36, no.3, 2016., [Link]
9. D. Bambusi, A. Maspero: Birkhoff coordinates for the Toda Lattice in the limit of infinitely many particles with an application to FPU, J. Funct. Anal. Vol. 270, no. 5, 1818--1887, 2016. [Link]

#### Proceedings

1. D. Bambusi, A. Carati, A. Maiocchi, A. Maspero: Some analytic results on the FPU paradox, in "Hamiltonian Partial Differential Equation and Applications", Fields Institute Communications, 2015. [Link]