Jean-Luc Brylinski is a French

French people

The French are a nation that share a common French culture and speak the French language as a mother tongue. Historically, the French population are descended from peoples of Celtic, Latin and Germanic origin, and are today a mixture of several ethnic groups...

-American

United States

The United States of America is a federal constitutional republic comprising fifty states and a federal district...

 mathematician

Mathematician

A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

. Educated at the Lycée Pasteur

Lycée Pasteur

The Lycée Pasteur is a French state-run secondary school in Neuilly-sur-Seine, on the outskirts of Paris. It accept students from collège through to classes préparatoires .Built in the grounds of the former chateau de Neuilly, the lycée is named in...

 and the Ecole Normale Supérieure

École Normale Supérieure

The École normale supérieure is one of the most prestigious French grandes écoles...

 in Paris

Paris

Paris is the capital and largest city in France, situated on the river Seine, in northern France, at the heart of the Île-de-France region...

, after an appointment as researcher with the C. N. R. S., he became a Professor of Mathematics at Pennsylvania State University

Pennsylvania State University

The Pennsylvania State University, commonly referred to as Penn State or PSU, is a public research university with campuses and facilities throughout the state of Pennsylvania, United States. Founded in 1855, the university has a threefold mission of teaching, research, and public service...

. He proved the Kazhdan–Lusztig conjectures with Masaki Kashiwara

Masaki Kashiwara

is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Sato and Kashiwara have collaborated on algebraic analysis and D-module theory.He is a member of the French Academy of Sciences.- Concepts named after Kashiwara :...

. He has also worked on gerbe

Gerbe

In mathematics, a gerbe is a construct in homological algebra and topology. Gerbes were introduced by Jean Giraud following ideas of Alexandre Grothendieck as a tool for non-commutative cohomology in degree 2. They can be seen as a generalization of principal bundles to the setting of 2-categories...

s, cyclic homology

Cyclic homology

In homological algebra, cyclic homology and cyclic cohomology are homology theories for associative algebras introduced by Alain Connes around 1980, which play an important role in his noncommutative geometry...

, Quillen bundle

Quillen–Suslin theorem

The Quillen–Suslin theorem, also known as Serre's problem or Serre's conjecture, is a theorem in commutative algebra about the relationship between free modules and projective modules over polynomial rings...

s, and geometric class field theory, among other geometric and algebraic topics.

Brylinski is currently residing in Boston

Boston

Boston is the capital of and largest city in Massachusetts, and is one of the oldest cities in the United States. The largest city in New England, Boston is regarded as the unofficial "Capital of New England" for its economic and cultural impact on the entire New England region. The city proper had...

, where he is a CTO and co-CEO of Brylinski Research, together with his wife Ranee.