João Pedro Ramos
About me
I am currently a postdoctoral researcher at EPFL under supervision of Prof. Maryna Viazovska. Previously, I was a postdoctoral researcher under supervision of Prof. Alessio Figalli for 3 years at ETH Zürich.
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.
Currently, 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.
Recent updates
My former Master's student Jaime Gómez, currently a PhD student at EPFL under supervision of Prof. Joachim Krieger, was awarded the ETH Medal for his Master's Thesis "Stability of Faber-Krahn inequalities in Time-Frequency Analysis".
The paper "Sharp Gaussian decay for harmonic oscillators", by Danylo Radchenko and myself, has been accepted to Proceedings of the AMS.
The paper "Stability for the Faber-Krahn inequality for the Short-Time Fourier transform", by Jaime Gómez, André Guerra, myself and Paolo Tilli, has been accepted to Inventiones Mathematicae.
The paper "A Quantitative Stability result for the Sphere Packing Problem in dimensions 8 and 24", by Károly Böröczky, Danylo Radchenko and myself, has been accepted to Crelle's Journal.
Contact
Address: EPFL Lausanne - Institute of Mathematics MA C3 535,
Route Cantonale, 1015 Lausanne - Switzerland.
E-mail: joaopgramos95 [at] gmail [dot] com / joao.ramos [at] epfl [dot] ch / joao.ramos [at] math [dot] ethz [dot] ch