Yves F. Meyer

Biosketch

Yves Meyer is Professor Emeritus at Ecole Normale Sup’erieure de Cachan, France. He was previously Professor at Universit’e Paris-Dauphine (1986-1995), Professor at Ecole Polytechnique (1980-1986), Professor at Universit’e Paris-Sud (1966-1980). Meyer is an alumnus of Ecole Normale Sup’erieure.He is a Membre de l’Acad’emie des Sciences, Paris, a Foreign Honorary Member of the American Academy of Arts & Sciences, a Foreign Associate of the National Academy of Sciences, an Academico extranjero de la Real Academia de Ciencias (Madrid), and a Foreign member of the Norwegian Academy of Science and Letters. Yves Meyer was an invited speaker at the International Congress of Mathematicians in 1970 (Nice France), in 1983 (Warsaw), and in 1990 (Kyoto). He was an invited speaker at the International Congress of Mathematical Physics in 1988 (Swansea). He was awarded the Gauss Prize (ICM 2010, Hyderabad) and the Abel Prize in 2017. Together with Ingrid Daubechies, Emmanuel Cand`es and Terence Tao, he was awarded the {it Princesa de Asturias} Prize in 2020.

Research Interests

Yves Meyer research work sits between pure and applied mathematics. In his PhD thesis (Strasbourg, 1967) Meyer solved a problem raised by Lennart Carleson about strong Ditkin sets. After his PhD, Meyer moved on to number theory, more precisely to Diophantine approximations. This work led to his first major contribution : the theory of model sets, which paved the road to the mathematical theory of quasicrystals. It was later realized that some non-periodic patterns observed in chemical alloys, now generally known as quasicrystals, could be identified with specific model sets. Then in collaboration with Ronald Coifman and Alan McIntosh, Yves Meyer proved the boundedness of the Cauchy kernel on Lipschitz curves, a theorem which was conjectured by Alberto Calderon. Yves Meyer moved on to signal and image processing and, together with Ronald Coifman, Ingrid Daubechies, Alex Grossmann, Stephane Mallat, and Jean Morlet, participated to the wavelet revolution. Later on Yves Meyer launched a research program on the Navier-Stokes equations, in collaboration with his students Lorenzo Brandolese, Marco Cannone, Fabrice Planchon, and Pierre-Gilles Lemarie-Rieusset. Most recently, Yves Meyer has been active in the field of irregular sampling, in collaboration with Basarab Matei and Alexander Olevskii.