Emmanuel Giroux

Last updated

Emmanuel Giroux (born 1961) is a blind French geometer known for his research on contact geometry and open book decompositions. [1] [2]

Contents

Education and career

Giroux has Marfan syndrome, because of which he became blind at the age of 11. [1] [2] He earned a doctorate from the École Normale Supérieure de Lyon in 1991 under the supervision of François Laudenbach. [3]

He has been the director of the Unit of Mathematics, Pure and Applied (UMPA) at the École normale supérieure de Lyon. [2] [4] In 2015, he left Lyon to co-direct the Unité Mixte International of the Centre national de la recherche scientifique and the Centre de Recherches Mathématiques, in Montreal, Quebec, Canada. [5]

Mathematical contributions

Giroux is known for finding a correspondence (the eponymous Giroux correspondence [6] ) between contact structures on three-dimensional manifolds and open book decompositions of those manifolds. This result allows contact geometry to be studied using the tools of low-dimensional topology. It has been called a breakthrough by other mathematicians. [7]

In 2002 he was an invited speaker at the International Congress of Mathematicians. [8]

Related Research Articles

<span class="mw-page-title-main">Laurent Lafforgue</span> French mathematician

Laurent Lafforgue is a French mathematician. He has made outstanding contributions to Langlands' program in the fields of number theory and analysis, and in particular proved the Langlands conjectures for the automorphism group of a function field. The crucial contribution by Lafforgue to solve this question is the construction of compactifications of certain moduli stacks of shtukas. The proof was the result of more than six years of concentrated efforts.

<span class="mw-page-title-main">École normale supérieure de Lyon</span> School in Lyon, France

The École normale supérieure de Lyon is a French grande école located in the city of Lyon. It is one of the four prestigious écoles normales supérieures in France. The school is composed of two academic units —Arts and Sciences— with campuses in Lyon, near the confluence of the Rhône and Saône rivers.

<span class="mw-page-title-main">Élie Cartan</span> French mathematician (1869–1951)

Élie Joseph Cartan was an influential French mathematician who did fundamental work in the theory of Lie groups, differential systems, and differential geometry. He also made significant contributions to general relativity and indirectly to quantum mechanics. He is widely regarded as one of the greatest mathematicians of the twentieth century.

<span class="mw-page-title-main">Étienne Ghys</span> French mathematician

Étienne Ghys is a French mathematician. His research focuses mainly on geometry and dynamical systems, though his mathematical interests are broad. He also expresses much interest in the historical development of mathematical ideas, especially the contributions of Henri Poincaré.

<span class="mw-page-title-main">François Labourie</span> French mathematician

François Labourie is a French mathematician who has made various contributions to geometry, including pseudoholomorphic curves, Anosov diffeomorphisms, and convex geometry. In a series of papers with Yves Benoist and Patrick Foulon, he solved a conjecture on Anosov flows in compact contact manifolds.

<span class="mw-page-title-main">Alexander Goncharov</span>

Alexander B. Goncharov is a Soviet American mathematician and the Philip Schuyler Beebe Professor of Mathematics at Yale University. He won the EMS Prize in 1992.

<span class="mw-page-title-main">Jean-Claude Sikorav</span> French mathematician

Jean-Claude Sikorav is a French mathematician. He is professor at the École normale supérieure de Lyon. He is specialized in symplectic geometry.

Sophie Morel is a French mathematician, specializing in number theory. She is a CNRS directrice de recherches in mathematics at École normale supérieure de Lyon. In 2012 she received one of the ten prizes of the European Mathematical Society.

Paulette Libermann was a French mathematician, specializing in differential geometry.

Wiesława Krystyna Nizioł is a Polish mathematician, director of research at CNRS, based at Institut mathématique de Jussieu. Her research concerns arithmetic geometry, and in particular p-adic Hodge theory, Galois representations, and p-adic cohomology.

<span class="mw-page-title-main">Daniel Huybrechts</span> German mathematician

Daniel Huybrechts is a German mathematician, specializing in algebraic geometry.

Albert Fathi is an Egyptian-French mathematician. He specializes in dynamical systems and is currently a professor at the Georgia Institute of Technology.

<span class="mw-page-title-main">Jean-Pierre Demailly</span> French mathematician (1957–2022)

Jean-Pierre Demailly was a French mathematician who worked in complex geometry. He was a professor at Université Grenoble Alpes and a permanent member of the French Academy of Sciences.

<span class="mw-page-title-main">Francis Bonahon</span> French mathematician

Francis Bonahon is a French mathematician, specializing in low-dimensional topology.

François Lalonde is a Canadian mathematician, specializing in symplectic geometry and symplectic topology.

Vincent Calvez is a French mathematician. He is currently a directeur de recherche at the Institute Camille Jordan at the Claude Bernard University Lyon 1. He is known for his work in mathematical modeling in biology, especially in the movement of bacteria.

Vincent Pilloni is a French mathematician, specializing in arithmetic geometry and the Langlands program.

<span class="mw-page-title-main">Jean-Benoît Bost</span> French mathematician

Jean-Benoît Bost is a French mathematician.

Serge Marc Cantat is a French mathematician, specializing in geometry and dynamical systems.

Sébastien Boucksom is a French mathematician.

References

  1. 1 2 Jackson, Allyn (November 2002), "The world of blind mathematicians" (PDF), Notices of the American Mathematical Society , 49 (10): 1246–1251.
  2. 1 2 3 Herzberg, Nathaniel (June 22, 2015), "Emmanuel Giroux, menuisier des maths", Le Monde (in French).
  3. Emmanuel Giroux at the Mathematics Genealogy Project
  4. UMPA, ENS de Lyon, archived from the original on 2015-09-27, retrieved 2015-10-03.
  5. Contact, Unité Mixte International, retrieved 2015-10-03.
  6. "The Giroux Correspondence in Arbitrary Dimensions - Videos | Institute for Advanced Study". www.ias.edu. 2024-03-22. Retrieved 2024-04-15.
  7. Etnyre, John B.; Ozbagci, Burak (2008), "Invariants of contact structures from open books", Transactions of the American Mathematical Society, 360 (6): 3133–3151, arXiv: math/0605441 , doi:10.1090/S0002-9947-08-04459-0, MR   2379791, S2CID   16462195 .
  8. ICM Plenary and Invited Speakers since 1897, International Mathematical Union, archived from the original on 2017-11-24, retrieved 2015-10-03.