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Artur Avila
Mathematician

Artur Avila

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Transforming the study of dynamical systems and becoming the first Latin American Fields medallist in 2014.

Ten Martini Problem · Renormalisation methods

Born
29 June 1979
Birthplace
Rio de Janeiro, Brazil

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Artur Avila

Artur Avila is a Brazilian-French mathematician who studies how mathematical systems evolve. His work connects dynamics, analysis and mathematical physics. He developed his early research in Brazil and later worked in France and Switzerland.

Early life

Rio education

Studied in Rio de Janeiro and won an International Mathematical Olympiad gold medal in 1995.

Early research training

Entered advanced study at IMPA while young and completed his doctorate there in 2001.

Career

  1. 2001–2003

    Postdoctoral work

    Moved to France after doctoral research with Welington de Melo.

  2. 2003–2008

    CNRS career

    Joined France’s CNRS and became a research director.

  3. 2018

    Zurich professorship

    Joined the University of Zurich.

Contributions

Ten Martini Problem

With Svetlana Jitomirskaya, resolved a long-standing question about a quantum-mechanical operator.

Renormalisation methods

Used changes of scale to reveal structure in dynamical systems.

Fields Medal

Became the first recipient from Latin America.

Beyond mathematics

Brazilian training

His doctorate at IMPA made his recognition a milestone for Brazil’s mathematical research community.

International collaboration

Built a research career connecting institutions and collaborators in Brazil and Europe.

Sources & photo creditLife, career and referencesInstitutional biography and career record

Photo: Breithaupt, Katrin. CC BY-SA 2.0 de · Original image. Cropped and displayed in monochrome.