French mathematician born in 1973, awarded the Fields Medal in 2010 for his work on the Boltzmann equation and optimal transport. Director of the Institut Henri-Poincaré, then a member of the National Assembly.
Cédric Villani(1973 — ?)
Cédric Villani
France
7 min read
Frequently asked questions
Famous Quotes
« Mathematics is everywhere there is regularity.»
« Finding something often takes a second; understanding why you found it takes a lifetime.»
Key Facts
- Born on January 5, 1973, in Brive-la-Gaillarde
- Fields Medal in 2010, the highest honor in mathematics
- Director of the Institut Henri-Poincaré from 2009 to 2017
- Elected Member of Parliament for Essonne in 2017 under the La République En Marche party
- Author of *Birth of a Theorem* (2012), an autobiographical account of his mathematical discovery
Works & Achievements
An international reference treatise on optimal transport theory, spanning over 900 pages. This work synthesizes the state of the art in the field and forms one of the foundations of the research that earned him the Fields Medal.
A major mathematical result proving that certain plasmas can stabilize without energy dissipation, rigorously confirming a conjecture put forward by physicist Lev Landau in 1946. This work is at the heart of the 2010 Fields Medal.
An autobiographical book retracing the months of intense research that led to the proof of Landau damping. Translated into many languages, it demystifies the work of a mathematician and has reached a very wide audience.
A report submitted to the French government proposing an ambitious national strategy on AI, covering research, economics, ethics, and defense. It influenced French and European policy on artificial intelligence.
A report to the Ministry of National Education proposing pedagogical reforms to rekindle French students' enthusiasm for mathematics from primary school onwards, notably through a return to automaticity drills and mental arithmetic.
Anecdotes
Cédric Villani is instantly recognizable thanks to the spider brooch he wears almost constantly on the lapel of his jacket. He began wearing it as a kind of eccentric signature, claiming that this sartorial choice helped him stand out and assert that a mathematician could be a fully-fledged public figure.
In August 2010, at the International Congress of Mathematicians in Hyderabad, India, Cédric Villani was awarded the Fields Medal, the highest distinction in mathematics, often compared to the Nobel Prize. He was 37 at the time, close to the age limit of 40 set for this award, and was recognized for his groundbreaking work on the Boltzmann equation and optimal transport.
To write his book 'Birth of a Theorem' (2012), Villani kept a personal diary of his mathematical quest on the problem of Landau damping, in collaboration with his colleague Clément Mouhot. In it he describes the sleepless nights, the doubts, the moments of sudden illumination — a rare testimony to what researchers in mathematics truly go through.
In 2017, Cédric Villani decided to leave academia and enter politics, winning election as a member of parliament for Essonne under the La République En Marche banner. This surprising transition from pure mathematical research to parliamentary life illustrates his commitment to ensuring that science informs political decisions.
In 2018, Prime Minister Édouard Philippe entrusted him with the task of drafting a national report on artificial intelligence. The Villani Report, titled 'For a Meaningful Artificial Intelligence', sets out an ambitious French strategy for the field and has become an international reference on AI governance.
Primary Sources
There is no recipe for mathematical discovery. You can work hard, give everything you have, and still remain stuck for months. Then, one morning, the solution emerges, as if from nowhere.
France and Europe have considerable assets to become major players in artificial intelligence, provided they invest massively in research, train talent, and define a shared ethical framework.
Cédric Villani obtained spectacular results in kinetic theory and in the geometry of metric spaces, in particular by establishing optimal estimates for the Boltzmann equation and by rigorously proving nonlinear Landau damping.
Optimal transport is a theory rooted in the work of Gaspard Monge in the eighteenth century, but which experienced an extraordinary revival through twentieth-century contributions, most notably those of Leonid Kantorovich.
Key Places
Birthplace of Cédric Villani, born on January 5, 1973. This town in the southern Massif Central is where the future mathematician grew up, before leaving to pursue his studies in Paris.
Villani enrolled here in 1992, shaping his mathematical mind alongside France's finest researchers. The ENS Paris is the traditional breeding ground for France's highest-level mathematicians.
Villani was appointed director in 2009, transforming this legendary institute on rue Pierre-et-Marie-Curie into a vibrant hub for international exchange in mathematics and theoretical physics.
It was in this Indian city, in August 2010, that Cédric Villani received the Fields Medal at the International Congress of Mathematicians, before several thousand researchers from around the world.
Elected as a member of parliament for Essonne in 2017, Villani serves here and has led parliamentary work on artificial intelligence and science policy.
Typical Objects
The spider-shaped brooch has become Cédric Villani's visual signature, worn on the lapel of his jacket at every public appearance. It symbolizes his desire to be an extraordinary mathematician, as recognizable by his style as by his ideas.
The central tool of the mathematician, the blackboard is the space where Villani develops his proofs, traces equations, and shares his reasoning with colleagues. He is often photographed in front of a board covered in formulas at conferences or lectures.
Villani keeps dense notebooks filled with proof attempts and rough drafts. These notebooks are at the heart of his creative process, as he recounts in *Birth of a Theorem*, where pages accumulate over months of research.
Paired with his spider brooch, the lavallière is part of Villani's very personal dress style, evoking the scholars of the 19th century. This deliberate choice expresses his uninhibited embrace of intellectual eccentricity.
The landmark works of mathematics — from Kolmogorov to Boltzmann by way of Kantorovich — line Villani's shelves and testify to a formation grounded in the great texts of the discipline.
Awarded in gold and depicting Archimedes, the Fields Medal is the symbol of the highest distinction in mathematics. Villani received one in 2010 in Hyderabad, and it has become a symbol of worldwide recognition for French mathematical research.
School Curriculum
Vocabulary & Tags
Key Vocabulary
Daily Life
Morning
Cédric Villani is known for his unconventional schedule and his taste for working at night. His mornings often start late, after nights spent pondering mathematical problems. He takes time to read his emails, browse international scientific literature, and prepare his lectures or public talks.
Afternoon
Afternoons are often devoted to seminars, meetings with his doctoral students, or media interviews. As director of the Institut Henri-Poincaré, he organized many international conferences and welcomed researchers from around the world. He would sometimes work in Parisian cafés, notebook always within reach.
Evening
Evening and night are the heart of his most intense mathematical work. In *Théorème Vivant* he described those long hours of solitary concentration — trying different approaches, writing and erasing proofs. He often listens to music — classical or rock — to sharpen his focus.
Food
Villani is not associated with any particular dietary habits, though he has mentioned drinking large amounts of tea and coffee during his intensive work sessions. Like many French intellectuals, he values shared meals as moments of discussion and exchange among colleagues.
Clothing
His style is immediately recognizable: a understated jacket, a lavallière (large-knotted cravat), and his famous spider brooch. This deliberately retro and eccentric look is a personal trademark he fully embraces, running counter to the discretion typically expected of academics.
Housing
Villani lives in Paris, near the Latin Quarter and the city's major scientific institutions. His living space is described as filled with books, music scores, and unusual objects — a reflection of a wide-ranging intellectual curiosity that extends well beyond mathematics alone.
Historical Timeline
Period Vocabulary
Liens externes & ressources
Références
Œuvres
Optimal Transport, Old and New
2009
Preuve de l'amortissement de Landau non linéaire (avec Clément Mouhot)
2009-2011
Théorème Vivant
2012
Donner un sens à l'intelligence artificielle (rapport Villani)
Mars 2018
21 mesures pour l'enseignement des mathématiques (avec Charles Torossian)
2018
