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.
In mathematics and theoretical physics, the term quantum group denotes one of a few different kinds of noncommutative algebras with additional structure. These include Drinfeld–Jimbo type quantum groups, compact matrix quantum groups, and bicrossproduct quantum groups. Despite their name, they do not themselves have a natural group structure, though they are in some sense 'close' to a group.
Michael Artin is a German-American mathematician and a professor emeritus in the Massachusetts Institute of Technology Mathematics Department, known for his contributions to algebraic geometry.
André Lichnerowicz was a French differential geometer and mathematical physicist. He is considered the founder of modern Poisson geometry.
Claire Voisin is a French mathematician known for her work in algebraic geometry. She is a member of the French Academy of Sciences and holds the chair of algebraic geometry at the Collège de France.
Alan David Weinstein is a professor of mathematics at the University of California, Berkeley, working in the field of differential geometry, and especially in Poisson geometry.
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.
M. Susan Montgomery is a distinguished American mathematician whose current research interests concern noncommutative algebras: in particular, Hopf algebras, their structure and representations, and their actions on other algebras. Her early research was on group actions on rings.
Karen Ellen Smith is an American mathematician, specializing in commutative algebra and algebraic geometry. She completed her bachelor's degree in mathematics at Princeton University before earning her PhD in mathematics at the University of Michigan in 1993. Currently she is the Keeler Professor of Mathematics at the University of Michigan. In addition to being a researcher in algebraic geometry and commutative algebra, Smith with others wrote the textbook An Invitation to Algebraic Geometry.
William Walstan Crawley-Boevey is an English mathematician. Since 2016, he has been Alexander von Humboldt Professor at Universität Bielefeld, on leave from his position as Professor of Pure Mathematics at the University of Leeds. His research concerns representation theory and the theory of quivers.
Pierre Bieliavsky, is a Belgian mathematician.
Bertrand Toën is a mathematician who works as a director of research at the Centre national de la recherche scientifique (CNRS) at the Paul Sabatier University, Toulouse, France. He received his PhD in 1999 from the Paul Sabatier University, where he was supervised by Carlos Simpson and Joseph Tapia.
Ana M. L. G. Cannas da Silva is a Portuguese mathematician specializing in symplectic geometry and geometric topology. She works in Switzerland as an adjunct professor in mathematics at ETH Zurich.
Caterina (Katia) Consani is an Italian mathematician specializing in arithmetic geometry. She is a professor of mathematics at Johns Hopkins University.
Henri Moscovici is a Romanian-American mathematician, specializing in non-commutative geometry and global analysis.
Marius Nicolae Crainic is a Romanian mathematician working in the Netherlands.
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.
The André Lichnerowicz Prize for Poisson geometry is a mathematics distinction awarded since 2008 to reward notable contributions to Poisson geometry.
In mathematics, specifically the field of algebra, Sklyanin algebras are a class of noncommutative algebra named after Evgeny Sklyanin. This class of algebras was first studied in the classification of Artin-Schelter regular algebras of global dimension 3 in the 1980s. Sklyanin algebras can be grouped into two different types, the non-degenerate Sklyanin algebras and the degenerate Sklyanin algebras, which have very different properties. A need to understand the non-degenerate Sklyanin algebras better has led to the development of the study of point modules in noncommutative geometry.
Dmitri Olegovich Orlov, is a Russian mathematician, specializing in algebraic geometry. He is known for the Bondal-Orlov reconstruction theorem (2001).
