Itamar Oliveira

I'm an EPSRC postdoctoral fellow at the University of Birmingham (UK). My research interests are broadly in harmonic analysis, as well as in its multiple interfaces. From September/2027 I will be a Marie Curie postdoctoral fellow at ICMAT (Spain).

-----------------------------------------

"We are not trying to meet some abstract production quota of definitions, theorems and proofs. The measure of our success is whether what we do enables people to understand and think more clearly and effectively about mathematics."

William Thurston, "On proof and progress in mathematics", 1994.

Research

Rectangles, triangles and Schrödinger waves, with J. Bennett, V. Kovač and S. Nakamura, preprint 2026, 34 pages.
Knapp-type obstructions in multilinear fractal Fourier extension, with A. de Orellana, preprint 2026, 27 pages.
Mizohata-Takeuchi inequalities for orthonormal systems, with J. Bennett, N. Bez, S. Gutierrez and S. Nakamura, J. London Math. Soc., 114: e70666, (2026), 40 pages.
The oscillatory biest operator, joint with C. Benea, preprint 2024, 22 pages.
Probabilistic well-posedness of generalized cubic nonlinear Schrödinger equations with strong dispersion using higher order expansions, joint with J.-B. Casteras, J. Földes and G. Uraltsev, preprint 2024, 37 pages.
A phase-space approach to weighted Fourier extension inequalities, joint with J. Bennett, S. Gutiérrez and S. Nakamura, Forum of Mathematics, Sigma, (2025) 54 pages.
A new proof of Strichartz estimates for the Schrödinger equation in 2+1 dimensions, joint with C. Muscalu, From Classical Analysis to Analysis on Fractals - The Robert Strichartz Memorial Volume (2023), 24 pages.
A new approach to the Fourier extension problem for the paraboloid, joint with C. Muscalu, Analysis & PDE, Vol. 17 (2024), No. 8, 2841-2921, 81 pages.

Notes

Notes on the Kakeya maximal conjecture and related problems (Warning: this was written in 2016 and misses many important breakthroughs)
Notes on bilinear restriction.
Notes on Bourgain's Besicovitch type maximal operators and applications to Fourier analysis, written with Ben Foster and Alex Ortiz.

Travel/Events

Upcoming:

Cornell University (Ithaca, US), September 14-18, 2026.
Georgia Tech (Atlanta, US), September 20-24, 2026.
Isaac Newton Institute (Cambridge, UK), January 6 - February 6, 2027.
Nantes Université (France), May 24-28, 2027.

Past:

Basque Center for Applied Mathematics (Bilbao, Spain), August 28 - September 2, 2022.
University of Edinburgh (UK), October 9-12, 2022.
CIRM (Marseille, France) - Workshop Analyse réelle et géométrie, June 12-16, 2023.
Portorož (Slovenia) - Conference Contemporary Analysis and Its Applications, June 19-23, 2023.
Bilbao (Spain) - Harmonic Analysis and Differential Equations: new questions and challenges, September 5-8, 2023.
XI AGAPI day, ICMAT (Madrid, Spain), September 25-29, 2023.
Université de Nantes (France), October 21-28, 2023.
University of Loughborough (UK), November 8, 2023.
LMS Harmonic Analysis & PDE network meeting (Edinburgh, Scotland), December 3-4, 2023.
BCAM (Bilbao, Spain), March 11-15, 2024.
LMS Midlands Regional Meeting and Workshop (Loughborough, UK), April 2-4, 2024.
Cornell University (Ithaca, US), May 3-7, 2024.
University of Arkansas (Fayetteville, US), May 8-11.
Madison Lectures in Harmonic Analysis (Madison, US), May 13-17, 2024.
CIRM (Marseille, France) - Analyse harmonique et équations aux dérivées partielles, 10-14 June, 2024.
ICMAT (Madrid, Spain), 15-22 June, 2024.
Hausdorff Center for Mathematics (Bonn, Germany), July 8-19, 2024.
35th IWOTA (Canterbury, UK), August 12-16, 2024.
Quantum Signal Processing and Nonlinear Fourier Analysis (Oberwolfach, Germany), October 6-11, 2024.
Universitat Politècnica de Catalunya (Barcelona, Spain), November 28-29, 2024.
LMS Harmonic Analysis & PDE network meeting - UCC (Cork, Ireland), May 1st, 2025.
Universidade de Lisboa (Portugal), May 21-24.
Modern Trends in Fourier Analysis - CRM (Barcelona, Spain) - May 26th - June 6th, 2025.
El Escorial (Madrid, Spain) - June 9-13, 2025.
Brazilian Math Colloquium - IMPA (Rio de Janeiro, Brazil), July 27th - August 1st, 2025.
University of Edinburgh (UK), September 15, 2025.
LMS Harmonic Analysis & PDE network meeting, Birmingham (UK), October 22, 2025.
2nd Atlantic Conference in Nonlinear PDEs, Lisbon (Portugal), November 3-7, 2025.
Instituto Superior Técnico, Lisbon (Portugal), December 8-11.
Harmonic Analysis and its Interactions @ Nagoya 2026 (Japan), February 16-20.
77th British Mathematical Colloquium (Cardiff, Wales), March 30 - April 2, 2026.
Universitat Politècnica de Catalunya (Barcelona, Spain), May 6-8, 2026.
Universidad Autónoma de Madrid, May 11-15, 2026.
Basque Center for Applied Mathematics (Bilbao, Spain), June 1-5, 2026.
Fractals and Related Fields V (Porquerolles island, France), June 8-12, 2026.
40 years of Analysis and PDE in Bilbao (Bilbao, Spain), August 31 - September 4, 2026.

Teaching

I am not teaching this semester.

Miscellaneous

A letter from Elias Stein to Bob Strichartz (1967), around the time when the Fourier restriction problem was posed. This was recovered from Bob's office in Cornell.
Birds and frogs, by Freeman Dyson.

I'm an EPSRC postdoctoral fellow at the University of Birmingham (UK). My research interests are broadly in harmonic analysis, as well as in its multiple interfaces. From September/2027 I will be a Marie Curie postdoctoral fellow at ICMAT (Spain).

Research

Notes

Travel/Events

Teaching

Miscellaneous

Contacts:

lastname (dot) firstname (dot) w (at) gmail (dot) com

i.oliveira@bham.ac.uk