João Pedro Ramos
RG Analysis and Partial Differential Equations
|Mathematisches Institut||Endenicher Allee 60, N2.011|
|Universität Bonn||Phone: +49 (0) 228 73-2928|
|Endenicher Allee 60||E-mail: jpgramos (at) math.uni-bonn.de|
|D - 53115 Bonn|
I am currently a PhD student under the supervision of Prof. Dr. Christoph Thiele.
- My current CV. (last updated July 8th, 2019)
Preprints and Publications
- F. Goncalves, D. Oliveira e Silva and J.P. Ramos On the equivalence of some root uncertainty principles. In preparation.
- J. P. Ramos, M. Sousa Fourier Uniqueness pairs of powers of integers. Preprint .
- J. P. Ramos, O. Saari and J. Weigt Weak differentiability for fractional maximal functions of general Lp functions on domains. Submitted .
- J. P. Ramos The Hilbert transform along the parabola, the polynomial Carleson theorem, and oscillatory singular integrals. Submitted.
- J.P. Ramos Low-dimensional maximal restriction principles for the Fourier transform. Submitted.
- J.P. Ramos Maximal restriction estimates and maximal functions of the Fourier transform. Accepted to the Proceedings of the American Mathematical Society.
- D. Beltran, J.P. Ramos and O. Saari Regularity of fractional maximal functions through Fourier multipliers. Accepted to the Journal of Functional Analysis.
- J.P. Ramos Sharp total variation results for maximal functions. Accepted to the Annales Academiae Scientiarum Fenniciae.
My Master's degree was obtained in IMPA, Rio de Janeiro, Brazil, by February 29th, 2016. It was substituted, according to the institute's official rules, by two Ph.D. courses, one of which comprised a final written work, completed by me on the topic of: Time-Frequency Analysis and Carleson's Theorem: A Student's point of view. Advisor: Prof. Claudio Landim; Final work tutor: Prof. Emanuel Carneiro. This work is a detailed version of the work A proof of boundedness of the Carleson operator, by M. Lacey and C. Thiele.
My Bachelor's degree was obtained in UFRJ, Rio de Janeiro, Brazil, by March 31st, 2016, in applied mathematics. Its final work was substituted, according to the university's official rules, by the work above.Advisor: Prof. Emanuel Carneiro.
My main area of interest is analysis in the broad sense, with a particular interest for harmonic analysis, geometric analysis and partial differential equations.
More specifically, my current research interests lie on the theory of regularity of maximal functions - as the first cited work emphasizes -, uncertainty principles and their relations to number theory and harmonic analysis, which has to do with the second project cited above, and time-frequency analysis and its applications, one area of interest shared with my current advisor, Prof. Christoph Thiele, one of the reasons why I did my master's final project on Carleson's theorem.
Slides and Notes
- The Variation of the Centered Maximal Function (after O. Kurka)
- Formal proof of an useful inequality involving Hausdorff measures of level sets
- Assistant Introduction to Nonlinear Dispersive Equations (Brazilian Summer 2016), Instituto de Matematica Pura e Aplicada (IMPA) (carried out in Portuguese).
- Course notes V4B5: Real and Harmonic Analysis (winter term 2016/2017)
- Tutor Modul math240 Mathematik II (Mathematics for Physicists II) (summer term 2018) (carried out in German).
- Tutor V2B1 - Analysis III (winter term 2018/19) (carried out in German).
- Assistant V4B5 - Real and Harmonic Analysis (summer term 2019).
- Organizer S5B1 - Graduate seminar on Advanced topics in PDE (summer term 2019)
Matthias Kreck elected corresponding member of the Göttingen Academy of Sciences and Humanities in Lower Saxony
Lucas Mann recevices the Hausdorff memorial award 2021/22
Bachelor Prize 2021/22 of the BMG awarded
M. Rapoport receives the Alexanderson Award of the AIM (joint with Jan Bruinier, Benjamin Howard, Stephen S. Kudla, and Tonghai Yang)
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Rajula Srivastava receives Association for Women in Mathematics Dissertation Prize
Prof. Ana Caraiani wins a New Horizons in Mathematics Prizes 2023
Pius XI Medal awarded to Professor Peter Scholze
Prof. Dr. Ana Caraiani neuer Hausdorff Chair am Mathematischen Institut
Prof. Valentin Blomer und Prof. Georg Oberdieck erhalten ERC grants
Bonn Mathematics ranked 15th in Shanghai Ranking
Grants for Mathematics students from Ukraine
Corona: Measures at the Center for Mathematics
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant