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Fernando Coda Marques : ウィキペディア英語版
Fernando Codá Marques

Fernando Codá dos Santos Cavalcanti Marques (born 8 October 1979) is a Brazilian mathematician working mainly in geometry, topology and partial differential equations.〔(Curriculum Vitae of Fernando Codá Marques (April 10, 2014) )〕 He is a professor at Princeton University. In 2012, together with André Neves, he proved the Willmore conjecture.〔
==Biography==

Fernando Codá Marques was born in São Carlos and grew up in Maceió. His parents were both professors of engineering.〔
Marques started as a student of engineering, but switched to mathematics after two years.〔(Portuguese-language interview to Globo )〕
Following the advice of Manfredo do Carmo, Codá decided to go to Cornell University to learn geometric analysis from José Chepe Escobar, so that he could return and bring this area of research to Brazil. While still in Brazil, Codá had been informed that Escobar was facing cancer and that he could maybe die before Codá could complete his Ph.D with him. Despite this information, Codá decided to keep the combined and became his student.
He obtained his Ph.D. from Cornell University in 2003, under the supervision of José Fernando Escobar (thesis: ''Existence and Compactness Theorems on Conformal Deformation of Metrics'').
Despite the usual path being to go for a postdoctoral research, Codá had in mind that his mission was to return to Brazil. The IMPA had already offered him a position of researcher, and he accepted it. But after six months in Brazil, Escobar, who was his main connection with researchers outside of Brazil, died. Codá faced the difficulties of doing research in isolation, so he decided to accept an invitation to stay one year as a postdoc at Stanford University. There he was influenced by Richard Schoen's school of thought in geometry and met André Neves (who would become his main collaborator), and many other of his contacts.〔
He worked at the IMPA from 2003 to 2014.〔
Marques and Neves "Min-max theory and the Willmore conjecture" was uploaded to arXiv on February 2012, in it they solved the Willmore conjecture, using Almgren–Pitts min-max theory, which was then "a relatively old tool and already somewhat out of favor". According to Harold Rosenberg, using this tool was possible because the pair discovered a connection between objects that were apparently very different: "connecting the problem with questions about minimal surfaces on the sphere () a priori there would be no reason for these things to be connected. It's curious, very curious."〔
On September 1, 2014, Codá joined Princeton University as a full professor.〔(Princeton University – Board approves three faculty appointments )〕

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