Research interests: dispersive PDEs, stability/instability of solutions, Hamiltonian dynamics, semiclassical analysis, dynamical systems
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Publications:
B. Langella, A. Maspero and M. T. Rotolo, Growth of Sobolev norms for completely resonant quantum harmonic oscillators on R^2, Journal of Differential Equations 433: 113221, (2025).
M. T. Rotolo, Long-time behavior of resonant time-dependent perturbations of periodic transport equations on R, Nonlinearity, Volume 39, n.9, article 095014 (2026).
Preprints:
G. Rivière and M. T. Rotolo, Sobolev instability for perturbations of periodic transport equations, preprint arXiv: 2510.17350, (2025).
PhD Thesis: Depicting instabilities in linear dispersive PDEs: a dynamical systems approach
I defended my PhD Thesis on September 22, 2026, in front of a committee composed of Massimiliano Berti, Nguyen Viet Dang, Marcel Guardia, Alberto Maspero, Michela Procesi, and Didier Robert.
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