The Institute is dedicated to research in the following domains of mathematics:

• Logic and foundations

• Algebra

• Number theory

• Algebraic and complex geometry

• Geometry

• Topology

• Lie theory and generalizations

• Analysis and operator algebras

• Dynamical systems and ordinary differential equations

• Partial differential equations

• Mathematical physics

• Combinatorics

• Mathematical aspects of computer science

• Control theory and optimization

• History of mathematics

The Institute comprises faculty members of Sorbonne Université and Université Paris Diderot and researchers assigned by the CNRS. It is located on two sites : campus Pierre et Marie Curie (Jussieu) and campus des Grands Moulins (Paris Rive Gauche).