Jean Vincent Bellissard (born 1 March 1946, Lyon) is a French theoretical physicist and mathematical physicist, [1] known for his work on C*-algebras, K-theory, noncommutative geometry as applied to solid state physics, particularly, to quantum Hall effect. [2]
Bellissard worked as a teaching assistant at the École catholique des arts et métiers (E.C.A.M.) from 1965 to 1969. He graduated from the Université Claude Bernard Lyon 1 with bachelor's degree in 1967, Diplôme d'études approfondies (DEA) in wave mechanics in 1968, and DEA in theoretical physics in 1970. He qualified in 1969 with the Agrégation in physics. From 1969 to 1970 he taught at Lyon's Lycée La Martinière, an engineering preparatory school, and was simultaneously enrolled as a graduate student in theoretical physics at the Aix-Marseille University. [1] In 1974 he received his doctorate from the Aix-Marseille University with thesis Champs quantifiés dans un champ exterieur (Quantized fields in an external field) [3] [4] with advisor Raymond Stora. [5] Bellissard was a postdoc from 1974 to 1974 at the University of Lausanne with advisor Jean-Jacques Loeffel. At the Université de Provence Aix-Marseille I, Bellissard was from 1970 to 1980 an assistant professor, from 1980 to 1991 an associate professor. From 1991 he was to 2007 a full professor in Toulouse. [1]
On a visit from October 1979 to January 1980 at the Institut des hautes études scientifiques (I.H.É.S.) he worked with Alain Connes and started on a program of research on the noncommutative geometry of aperiodic solids. Bellissard created the Group of Theoretical Physics at the Paul Sabatier University in Toulouse. During the 1980s he visited the United States several times. From 1983 to 1984 he was a visiting professor at Princeton University. In 1986 he was visiting researcher at Caltech. From 1993 to 1999 he was the editor-in-chief of the Annales de l'Institut Henri Poincaré (theoretical physics). In 2002 he moved to Atlanta, Georgia to become a full professor at Georgia Tech, where he has a joint appointment in the School of Mathematics and the School of Physics. [1]
In 1989 he received the Prix Paul-Langevin from the Société Française de Physique . In 1994 he was an Invited Speaker at the International Congress of Mathematicians in Zürich with talk Noncommmutative geometry and the quantum Hall effect. In 1996 he was made Chevalier Ordre des Palmes Académique (France). He was elected a Fellow of the American Mathematical Society in 2012.
Alain Connes is a French mathematician, known for his contributions to the study of operator algebras and noncommutative geometry. He is a professor at the Collège de France, Institut des Hautes Études Scientifiques, Ohio State University and Vanderbilt University. He was awarded the Fields Medal in 1982.
Jean-Marie Souriau was a French mathematician. He was one of the pioneers of modern symplectic geometry.
Yuri Ivanovich Manin was a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.
Daniel Kastler was a French theoretical physicist, working on the foundations of quantum field theory and on non-commutative geometry.
This is a timeline of category theory and related mathematics. Its scope is taken as:
In mathematics, especially (higher) category theory, higher-dimensional algebra is the study of categorified structures. It has applications in nonabelian algebraic topology, and generalizes abstract algebra.
In mathematical physics, the concept of quantum spacetime is a generalization of the usual concept of spacetime in which some variables that ordinarily commute are assumed not to commute and form a different Lie algebra. The choice of that algebra still varies from theory to theory. As a result of this change some variables that are usually continuous may become discrete. Often only such discrete variables are called "quantized"; usage varies.
Shahn Majid is an English pure mathematician and theoretical physicist, trained at Cambridge University and Harvard University and, since 2001, a professor of mathematics at the School of Mathematical Sciences, Queen Mary, University of London.
Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from them.
Jürg Martin Fröhlich is a Swiss mathematician and theoretical physicist. He is best known for introducing rigorous techniques for the analysis of statistical mechanics models, in particular continuous symmetry breaking, and for pioneering the study of topological phases of matter using low-energy effective field theories.
Nikita Alexandrovich Nekrasov is a Russian mathematical and theoretical physicist at the Simons Center for Geometry and Physics and C.N.Yang Institute for Theoretical Physics at Stony Brook University in New York, and a Professor of the Russian Academy of Sciences.
Matilde Marcolli is an Italian and American mathematical physicist. She has conducted research work in areas of mathematics and theoretical physics; obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft, and the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation. Marcolli has authored and edited numerous books in the field. She is currently the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology.
Maurice A. de Gosson, is an Austrian mathematician and mathematical physicist, born in Berlin. He is currently a Senior Researcher at the Numerical Harmonic Analysis Group (NuHAG) of the University of Vienna.
Pierre Bieliavsky, is a Belgian mathematician.
Leon Armenovich Takhtajan is a Russian mathematical physicist of Armenian descent, currently a professor of mathematics at the Stony Brook University, Stony Brook, NY, and a leading researcher at the Euler International Mathematical Institute, Saint Petersburg, Russia.
Sergio Doplicher is an Italian mathematical physicist, who mainly dealt with the mathematical foundations of quantum field theory and quantum gravity.
Roberto Longo is an Italian mathematician, specializing in operator algebras and quantum field theory.
Olaf Lechtenfeld is a German mathematical physicist, academic and researcher. He is a full professor at the Institute of Theoretical Physics at Leibniz University, where he founded the Riemann Center for Geometry and Physics.
Richard Kerner is a French theoretical physicist andProfessor Emeritus of Pierre and Marie Curie University whose research extends into gravitation, cosmology, field theory, solid-state physics, noncommutative geometry, quantum mechanics and mathematical and theoretical biology.
Klaus Fredenhagen is a German theoretical physicist who works on the mathematical foundations of quantum field theory.