The Mathematics Institute of Jussieu–Paris Rive Gauche (''Institut de mathématiques de Jussieu–Paris Rive Gauche'', IMJ-PRG) is a French research institute in fundamental mathematics. It is a "mixed research unit", with three parent organizations: the

Centre national de la recherche scientifique The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 ...

Sorbonne University Sorbonne University (french: Sorbonne Université; la Sorbonne: 'the Sorbonne') is a public research university located in Paris, France. The institution's legacy reaches back to 1257 when Sorbonne College was established by Robert de So ...

, and the

University of Paris The University of Paris (french: link=no, Université de Paris), Metonymy, metonymically known as the Sorbonne (), was the leading university in Paris, France, active from 1150 to 1970, with the exception between 1793 and 1806 under the French Revo ...

. It is located in

Paris Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. ...

, split between two campuses: Jussieu and Paris Rive Gauche. It is the largest research center for fundamental mathematics in

France France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of overseas regions and territories in the Americas and the Atlantic, Pacific and Indian Oceans. Its metropolitan ar ...

. More than 200 permanent researchers work at the institute, around 100 PhD students, as well as emeritus professors, postdocs, invited researchers, and ATERs, and support staff. The IMJ-PRG is the largest research unit linked to the

doctoral school In France, a doctoral school () is an educational structure similar in focus to a graduate school but restricted to PhD level. The concept was created in 2000. Doctoral schools have the responsibility of providing students with structured doctoral ...

of mathematical sciences of Paris center (''École doctorale de sciences mathématiques de Paris-Centre''). It has its own

journal A journal, from the Old French ''journal'' (meaning "daily"), may refer to: * Bullet journal, a method of personal organization *Diary, a record of what happened over the course of a day or other period *Daybook, also known as a general journal, a ...

, the ''Journal de l'institut de mathématiques de Jussieu'', published by

Cambridge University Press Cambridge University Press is the university press of the University of Cambridge. Granted letters patent by Henry VIII of England, King Henry VIII in 1534, it is the oldest university press in the world. It is also the King's Printer. Cambr ...

and covering all areas of fundamental mathematics. Each year since 2001, the institute organizes an international summer school dedicated to a hot topic in current mathematical research.

History

The institute was created on January 1, 1994, under the name ''Institut de mathématiques de Jussieu''. It moved in 1999 to the Chevaleret location in Paris. In 2010, half of the institute moved back to Jussieu; in 2013, the other half moved to Paris Rive Gauche and the institute changed its name to the current one. The institute is one of the founding members of the Research Federation in Mathematics of Paris Center (''Fédération de recherche en mathématiques de Paris centre''). Since 2007, it has been affiliated with the Mathematical Sciences Foundation of Paris (''Fondation sciences mathématiques de Paris'').

Distinctions

Several members of the IMJ-PRG received national and international awards for their research. Most prominently,

Artur Avila Artur Avila Cordeiro de Melo (born 29 June 1979) is a Brazilian and naturalized French mathematician working primarily in the fields of dynamical systems and spectral theory. He is one of the winners of the 2014 Fields Medal, being the first L ...

received the Fields Medal in 2014, and

Claire Voisin Claire Voisin (born 4 March 1962) 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. Work She is noted for h ...

received the CNRS Gold medal in 2016.

Themes

The research at the IMJ-PRG covers most of fundamental mathematics. It is subdivided in twelve team-projects:

algebraic analysis Algebraic analysis is an area of mathematics that deals with systems of linear partial differential equations by using sheaf theory and complex analysis to study properties and generalizations of functions such as hyperfunctions and microfuncti ...

;

complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebra ...

and

geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...

;

functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined ...

;

operator algebra In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study o ...

;

combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many a ...

and

optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...

;

automorphic form In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G of ...

s; history of mathematical sciences; geometry and dynamics; groups,

representations ''Representations'' is an interdisciplinary journal in the humanities published quarterly by the University of California Press. The journal was established in 1983 and is the founding publication of the New Historicism movement of the 1980s. It ...

, and

;

mathematical logic Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal ...

;

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Math ...

; and

algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classif ...

and (algebraic) geometry.

References

{{DEFAULTSORT:Institut de mathematiques de Jussieu - Paris Rive Gauche Research institutes in France Mathematical institutes French National Centre for Scientific Research Paris Diderot University Paris-Sorbonne University