Fourier Uniqueness & uncertainty

1. (with D. Radchenko) Sharp Gaussian decay for harmonic oscillators, accepted to Proceedings of the American Mathematical Society. 

2. (with A. Kulikov and L. Oliveira) On Gaussian decay rates of harmonic oscillators and equivalences of related Fourier uncertainty principles, Revista Matemática Iberoamericana. 

3. (with M. Stoller) Perturbed Fourier uniqueness and interpolation results in higher dimensions,   Journal of Functional Analysis.

4. (with F. Gonçalves) A note on discrete Heisenberg uniqueness pairs for the parabola, Bulletin des Sciences Mathématiques. 

5. (with M. Sousa) Perturbed Interpolation Formulae and Applications, Analysis and PDE.

6. (with F. Gonçalves and D. Oliveira e Silva) New sign uncertainty principles, Discrete Analysis. 

7. (with F. Gonçalves and D. Oliveira e Silva) On regularity and mass concentration phenomena for the sign uncertainty principle, Journal of Geometric Analysis. 

8. (with M. Sousa) Fourier uniqueness pairs of powers of integers, Journal of the European Mathematical Society. 

Time-frequency representations & signal analysis

9. (with J. Gómez, A. Guerra and P. Tilli) Stability of the Faber-Krahn inequality for the Short-time Fourier Transform, accepted to Inventiones Mathematicae. 

10. (with D. Kalaj) A Faber-Krahn type inequality for log-subharmonic functions in the hyperbolic ball, accepted to Israel Journal of Mathematics. 

11. (with P. Tilli) A Faber-Krahn inequality for wavelet transforms, Bulletin of the London Mathematical Society. 

12. Uniform bounds for oscillatory and polynomial Carleson operators, Journal of Fourier Analysis and Applications. 

13. The Hilbert transform along the parabola, the polynomial Carleson theorem, and oscillatory singular integrals, Mathematische Annalen. 

Geometric inequalities & Metric geometry

14. (with A. Figalli) Improved stability versions of the Prékopa-Leindler inequality, in final preparation. 

15. (with K. Böröczky and A. Figalli) The Isoperimetric inequality, the Brunn-Minkowski theory and Minkowski type Monge-Ampère equations on the sphere, (book) in final preparation. 

16.  (with K. Böröczky and D. Radchenko) A Quantitative Stability result for the Sphere Packing Problem in dimensions 8 and 24, Journal für die reine und angewandte Mathematik (Crelle's Journal).

17. (with K. Böröczky and A. Figalli) A quantitative stability result for the Prékopa--Leindler inequality for arbitrary measurable functions, Annales de l’Institut Henri Poincaré, Analyse Non Linéaire.

Maximal functions

18. (with G. Dosidis) The Multilinear spherical maximal function in one dimension, Proceedings of the Edinburgh Mathematical Society. 

19. (with T. Borges and C. Bortolotto) On the endpoint behaviour of oscillatory maximal functions, Journal of Mathematical Analysis and Applications. 

20. (with O. Saari and J. Weigt) Weak differentiability for fractional maximal functions of general L^p functions on domains, Advances in Mathematics.

21. Low-dimensional maximal restriction principles for the Fourier transform, Indiana University Mathematics Journal. 

22. Maximal restriction estimates and maximal functions of the Fourier transform, Proceedings of the American Mathematical Society 148 (2020), 1131-1138. 

23. (with D. Beltrán and O. Saari) Regularity of fractional maximal functions through Fourier multipliers, Journal of Functional Analysis 276, n. 6 (2019), 1875-1892. 

24. Sharp total variation results for maximal functions, Annales Academiæ Scientiarum Fennicæ Mathematica 44 (2019), 41-64. 

dispersive pde

25. (with C. Kehle) Uniqueness of solutions to nonlinear Schrödinger equations from their zeros,  Annals of PDE.  

26. (with F. Linares) The Cauchy problem for the L^2−critical generalized Zakharov-Kuznetsov equation in dimension 3, Communications in Partial Differential Equations.

27. (with F. Linares) Maximal function estimates and local well-posedness for the generalized Zakharov--Kuznetsov equation, SIAM Journal on Mathematical Analysis (SIMA). 

Miscellaneous 

28. (with F. Gonçalves) Bounds for the lonely runner problem via linear programming, Bulletin of the Brazilian Mathematical Society. 

29. (with J. Madrid) On optimal autocorrelation inequalities on the real line, Communications in Pure and Applied Analysis. 

30. (with C. Bortolotto) A maximization problem associated with random chords on a circle, in final preparation.