Research
Below you can find my publications and preprints. Alternatively, you may look at them over in my ArXiv author page.
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.