Research
Below you can find my publications and preprints. Alternatively, you may look at them over in my ArXiv author page.
Effective threshold dynamics for the cubic nonlinear Klein-Gordon equation in three dimensions
We provide effective scattering estimates for scattering energy class solutions to the cubic, focusing nonlinear Klein-Gordon equation in the radial setting via an induction on energy strategy.
Multisoliton solutions and blow-up for the Hartree equation
We construct multisoliton solutions for the \( L^2 \)-critical Hartree equation with trajectories asymptotically obeying a many-body law.
With Tobias Schmid and Yutong Wu.
Uniform stability of concentration inequalities and applications
We prove sharp quantitative versions of Faber-Krahn inequalities for certain continuous Wavelet transforms.
With D. Kalaj, P. Melentijević, J. P. G. Ramos.
Stability of the Faber-Krahn inequality for the short-time Fourier transform
We prove the sharp quantitative Faber-Krahn inequality for the short-time Fourier transform.
With A. Guerra, J. P. G. Ramos, P. Tilli.