Domínguez Bonilla, Óscar

Mathematics

PhD: Universidad Complutense de Madrid

Biography

Oscar Domínguez is a Ramón y Cajal Researcher at CUNEF. He earned his PhD in Mathematics with Extraordinary Honours at Universidad Complutense de Madrid in 2016. He was an Assistant Professor at Universidad Complutense de Madrid, a Postdoctoral Researcher at both Université de Lyon and Universidade de Coimbra, and a long-term Visiting Researcher at the CRM-Montreal and the Isaac Newton Institute-Cambridge.

Professor Domínguez specialises in Analysis. In particular, he is interested in developing new tools based on connecting functional analysis/interpolation theory with PDEs (fluid mechanics). He has co-authored more than 20 research papers, published in reputed journals. In 2017, he won the Vicent Caselles Prize for young researchers in Mathematics, awarded by the RSME and BBVA Foundation.

He has extensive experience teaching Mathematics at different levels.

Professional Career

Assistant Professor, Universidad Complutense de Madrid. January 2018–December 2023 (on leave for academic year 2021–22)

Simons Researcher, Centre de Recherches Mathématiques, Montreal, Canada. October–December 2022

Labex Milyon Postdoc at the Université Lyon 1, France. September 2021–August 2022

Invited Researcher at the Isaac Newton Institute-University of Cambridge, UK. January–June 2019

FCT Postdoc at the University of Coimbra, Portugal. May 2017–May 2020 (declined on December 2017)

Publications in Scientific Journals

Domínguez, Óscar; Tikhonov, Sergey: “Function spaces of logarithmic smoothness: characterizations and embeddings”, Memoirs of the American Mathematical Society, 282, 180 pp., 2023.

Domínguez, Óscar; Seeger, Andreas; Street, Brian; Schaftingen, Jean Van; Yung, Po-Lam: “Spaces of Besov-Sobolev type and a problem on nonlinear approximation”, Journal of Functional Analysis, 284, 50 pp., 2023.

Domínguez, Óscar; Milman, Mario: “Bourgain-Brezis-Mironescu-Maz'ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation”, Calculus of Variations and Partial Differential Equations, 62, 37 pp., 2023.

Domínguez, Óscar; Milman, Mario: “New Brezis-Van Schaftingen-Yung-Sobolev type inequalities connected with maximal inequalities and one parameter families of operators”, Advances in Mathematics, 411, 76 pp., 2022.

Domínguez, Óscar; Haroske, Dorothee D.; Tikhonov, Sergey: “Embeddings and characterizations of Lipschitz spaces”, Journal de Mathématiques Pures et Appliquées, 144, 69–105 , 2020.

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