About me

I am an Assistant Professor (Pesquisador Adjunto) at Instituto Nacional de Matemática Pura e Aplicada (IMPA).

My research interests lie on Analysis, Partial Differential Equations and affine fields. More specifically, I am interested in several topics within these areas, such as:

Fourier uncertainty principles and interpolation formulae;
Existence, uniqueness and unique continuation of PDE;
Stability estimates for geometric inequalities;
Time-frequency analysis and signal processing.

Here is a link to my CV.

Recent updates

The book "Time-frequency representations and optimal localization", by myself, which serves as a set of lecture notes to a forthcoming advanced course to be held during the 35th Brazilian Colloquium of Mathematicis, is now available in this webpage.
The paper "On sharp stable recovery from clipped and folded measurements", by P. Abdalla, D. Freeman, myself and M. Taylor, has been posted on arXiv.
The paper "A maximization problem associated with random chords in a circle", by C. Bortolotto and myself, has been accepted at Mathematika.
The paper "On the regularity of Fourier interpolation formulas", by G. Cassese and myself, has been posted on arXiv.
The paper "Uniform stability of concentration inequalities and applications", by J. Gómez, D. Kalaj, P. Melentijević and myself, has been posted on arXiv.

Contact

Address: Estrada Dona Castorina 110, Horto - Rio de Janeiro, RJ - Brazil

E-mail: joaopgramos95 [at] gmail [dot] com / joao [dot] ramos [at] impa [dot] br

More about me

I received my Ph.D. from the University of Bonn on January 30th, 2020, under supervision of Prof. Christoph Thiele. The title of my thesis was Pointwise convergence, maximal functions and regularity issues in harmonic analysis. Before that, I had earned my Master's degree from IMPA on February 29th, 2016, under the supervision of Prof. Claudio Landim, and my bachelor degree from the Federal University of Rio de Janeiro (UFRJ), on March 31st, 2016. My final project in these last two was Time-frequency analysis and Carleson's theorem: a student's point of view, an elaboration on the celebrated Proof of boundedness of the Carleson Operator, by M. Lacey and C. Thiele.

Prior to joining IMPA, I was an Assistant Professor at the University of Lisbon from October 2024 until April 2025. Before that, I was a postdoctoral researcher for 1 year in Prof. Maryna Viazovska's group and, prior to that, a postdoctoral researcher for 3 years at ETH Zürich with Prof. Alessio Figalli.

Some amusing facts:

I have a paper where both authors share the same birthday (with Georgios Dosidis);
I have a couple of papers with my wife (Cynthia Bortolotto);
My Erdös number is 3 (one path: Me - Károly Böröczky, Jr. - Endre Makai, Jr. - Pál Erdös);