# Artur Ávila > Brazilian and French mathematician **Wikidata**: [Q715043](https://www.wikidata.org/wiki/Q715043) **Wikipedia**: [English](https://en.wikipedia.org/wiki/Artur_Avila) **Source**: https://4ort.xyz/entity/artur-avila ## Summary Artur Ávila is a Brazilian and French mathematician recognized for his groundbreaking work in dynamical systems theory and low-dimensional geometry, who received the Fields Medal in 2014 for his contributions to hyperbolic geometry and related areas. ## Biography - **Born**: June 29, 1979 - **Nationality**: Brazilian and French - **Education**: Educated at Federal University of Rio de Janeiro and Paris Diderot University - **Known for**: Research in dynamical systems theory and mathematical analysis - **Employer(s)**: Federal University of Rio de Janeiro, Instituto Nacional de Matemática Pura e Aplicada (IMPA), University of Zurich, National Center for Scientific Research (CNRS) - **Field(s)**: Mathematical analysis, dynamical systems theory, spectral theory ## Contributions Artur Ávila has made significant contributions to the field of dynamical systems, particularly in the study of hyperbolic geometry and low-dimensional dynamics. His research has focused on: - Development of new techniques for understanding the behavior of dynamical systems - Contributions to the theory of hyperbolic manifolds and their applications - Publications in leading mathematical journals including works on geometric structures and their properties - Research collaborations with institutions worldwide, including the University of Zurich and CNRS ## FAQs ### What awards has Artur Ávila received? Artur Ávila has received numerous prestigious awards including the Fields Medal in 2014, the Jacques Herbrand Prize, the Knight of the Legion of Honour, the CNRS bronze medal, the Salem Prize, the Clay Research Award, the EMS Prize, the Michael Brin Prize in Dynamical Systems, and the Cours Peccot. ### Where has Artur Ávila worked? He has held positions at several prestigious institutions including the Federal University of Rio de Janeiro, the Instituto Nacional de Matemática Pura e Aplicada (IMPA) in Brazil, the University of Zurich in Switzerland, and the National Center for Scientific Research (CNRS) in France. ### What is his research focus? His primary research focuses on dynamical systems theory, particularly the study of hyperbolic geometry, low-dimensional dynamics, and related areas within mathematical analysis. ### What is his nationality? Artur Ávila holds both Brazilian and French nationalities. ## Why They Matter Artur Ávila's work has significantly advanced our understanding of dynamical systems and geometric structures. His contributions have provided new tools and insights that have influenced subsequent research in mathematics and related fields. His work on hyperbolic geometry and its applications has opened new avenues for research and has implications for understanding complex systems in physics, engineering, and other disciplines. ## Notable For - Received the Fields Medal in 2014 for contributions to hyperbolic geometry and related areas - Awarded the Jacques Herbrand Prize for outstanding contributions to mathematical logic and foundations - Honored as a Knight of the Legion of Honour by the French government - Received the CNRS bronze medal for scientific excellence - Won the Salem Prize for significant contributions to number theory and analysis - Received the Clay Research Award for innovative work in mathematics - Awarded the EMS Prize by the European Mathematical Society - Received the Michael Brin Prize in Dynamical Systems for contributions to the field - Was a recipient of the Cours Peccot, a prestigious one-semester mathematics course at the Collège de France ## Body ### Early Life and Education Artur Ávila Cordeiro de Melo was born on June 29, 1979. He received his early education in Brazil before pursuing higher studies in mathematics. He completed his undergraduate studies at the Federal University of Rio de Janeiro and later obtained his Ph.D. from Paris Diderot University. ### Academic Career Ávila's academic career has been marked by his affiliations with several prestigious institutions. He began his career at the Federal University of Rio de Janeiro, where he conducted research in mathematical analysis and dynamical systems. He later joined the Instituto Nacional de Matemática Pura e Aplicada (IMPA), Brazil's National Institute for Pure and Applied Mathematics, where he continued his research. His international collaborations have been extensive, with positions at the University of Zurich in Switzerland and the National Center for Scientific Research (CNRS) in France. These affiliations have allowed him to work with leading mathematicians and contribute to international research initiatives. ### Research Contributions Ávila's research focuses primarily on dynamical systems theory and mathematical analysis. His work has centered on understanding the behavior of complex systems through geometric and topological methods. He has made significant contributions to the theory of hyperbolic manifolds and their applications. One of his most notable contributions was the development of new techniques for studying the geometry of dynamical systems. His research has led to a better understanding of the structure of hyperbolic spaces and their properties. These findings have had implications for various fields including physics, engineering, and computer science. ### Fields Medal and Recognition The most significant recognition of his work came in 2014 when he was awarded the Fields Medal at the International Congress of the International Mathematical Union. This award recognized his contributions to the field of mathematics, particularly in the area of dynamical systems and geometric analysis. In addition to the Fields Medal, Ávila has received numerous other awards and honors for his contributions to mathematics. These include the Jacques Herbrand Prize, the Knight of the Legion of Honour from France, and the CNRS bronze medal. ### Professional Affiliations Throughout his career, Ávila has maintained strong connections with various academic institutions. His affiliations have included positions at the Federal University of Rio de Janeiro, the Instituto Nacional de Matemática Pura e Aplicada (IMPA), the University of Zurich, and the National Center for Scientific Research (CNRS). These institutions have provided him with the resources and support needed to conduct his research and collaborate with other leading mathematicians. His work has been published in numerous academic journals and has been cited extensively by other researchers in the field. ### Impact and Legacy Artur Ávila's work has had a significant impact on the field of mathematics. His contributions have advanced our understanding of dynamical systems and geometric structures, and have opened new avenues for research. His research has influenced subsequent generations of mathematicians and has applications in various scientific fields. His work continues to be studied and built upon by researchers worldwide, demonstrating the lasting significance of his contributions to mathematics. ## References 1. Integrated Authority File 2. [Source](https://www.imj-prg.fr/~artur.avila/cur.pdf) 3. [Source](https://www.cnrs.fr/fr/personne/artur-avila) 4. [Source](https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2014) 5. [Source](https://lejournal.cnrs.fr/articles/artur-avila-medaille-fields-2014) 6. [Source](http://5ecm.nl/prizewinnersbook.pdf) 7. Mathematics Genealogy Project 8. International Standard Name Identifier 9. Virtual International Authority File 10. Brockhaus Enzyklopädie 11. Freebase Data Dumps. 2013 12. IdRef 13. Quora 14. [Source](http://www.theses.fr/176719296)