Itamar Oliveira

I'm a research fellow in Analysis at the University of Birmingham (UK) working with Jon Bennett's group. I received my Ph.D. in Mathematics at Cornell University (USA) in 2022 advised by Camil Muscalu . My research is broadly in linear and multilinear harmonic analysis, as well as their applications to dispersive PDEs and other correlated areas. I am mainly interested in understanding the influence of underlying curvature features on the behaviour of integral operators, such as in the Fourier restriction program.

Publicly available:

In preparation:

Mizohata-Takeuchi inequalities for orthonormal systems, with J. Bennett, N. Bez, S. Gutierrez and S. Nakamura.

Upcoming:

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.
(Invited speaker) Brazilian Math Colloquium - IMPA (Rio de Janeiro, Brazil), July 27th - August 1st, 2025.
(Invited speaker) Harmonic Analysis and its Interactions @ Nagoya 2026 (Japan), February 16-20.

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.

I am teaching the second part of Functional and Fourier Analysis at UoB in the Spring of 2025.

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.