Fernando Codá Marques
| Fernando Codá Marques | |
|---|---|
| Born | October 8, 1979 São Carlos, Brazil |
| Nationality | Brazilian |
| Fields | Mathematics |
| Institutions | Princeton University IMPA |
| Alma mater | Cornell University (Ph.D.) IMPA (M.S.) UFAL (B.S.) |
| Thesis | Existence and Compactness Theorems on Conformal Deformation of Metrics (2003) |
| Doctoral advisor | José F. Escobar |
| Known for | Willmore conjecture Freedman–He–Wang conjecture Min-Oo Conjecture Contributions to Almgren–Pitts min-max theory |
| Influences | Richard Schoen Frederick Almgren Manfredo P. do Carmo Elon Lages Lima |
| Notable awards | Veblen Prize in Geometry (2016) ICTP Ramanujan Prize (2012) |
| Spouse | Ana Maria Menezes |
| Website https://www.math.princeton.edu/directory/fernando-coda-marques |
|
Fernando Codá dos Santos Cavalcanti Marques (born 8 October 1979) is a Brazilian mathematician working mainly in geometry, topology, partial differential equations and Morse theory. He is a professor at Princeton University. In 2012, together with André Neves, he proved the Willmore conjecture.
Biography
Fernando Codá Marques was born on 8 October 1979 in São Carlos and grew up in Maceió. His parents were both professors of engineering.[1][2]
Codá Marques started as a student of civil engineering at the Federal University of Alagoas in 1996, but switched to mathematics after two years.[3][4]
Following the advice of Manfredo do Carmo, Codá Marques decided to go to Cornell University to learn geometric analysis from José F. Escobar, so that he could return and bring this area of research to Brazil. While still in Brazil, Codá Marques had been informed that Escobar was facing cancer and that he could maybe die before Codá Marques could complete his Ph.D with him. Despite this information, Codá Marques decided to keep the combined and became his student.[5]
In 2001, Codá Marques was awarded Cornell's Battig Prize for graduate students, for "excellence and promise in mathematics".[6] He obtained his Ph.D. from Cornell University in 2003, under the supervision of José F. Escobar (thesis: Existence and Compactness Theorems on Conformal Deformation of Metrics).[7]
Despite the usual path being to go for a postdoctoral research, Codá Marques had in mind that his mission was to return to Brazil. The Instituto Nacional de Matemática Pura e Aplicada (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 Marques 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.[5]
He worked at the IMPA from 2003 to 2014.[8]
Codá 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."[5]
On September 1, 2014, Codá Marques joined Princeton University as a full professor.[9]
Work
Some of his best known works are the following:[8][10]
- February 2012: In cooperation with André Neves,[11] the solution to the Willmore conjecture[12]
- May 2012: In cooperation with Ian Agol and André Neves,[13] the solution to the Freedman–He–Wang conjecture
- April 2010: In cooperation with Simon Brendle and André Neves,[14] a counter-example to the rigidity conjecture of Min-Oo
Codá Marques is currently working to extend Almgren–Pitts min-max theory.[15]
Honours
He was an invited speaker at the International Congress of Mathematicians (ICM) of 2010 in Hyderabad (on “Scalar curvature, conformal geometry, and the Ricci flow with surgery”),[16] and a plenary speaker at the ICM of 2014 in Seoul (on “Minimal surfaces – variational theory and applications”).[17]
He was awarded the ICTP Ramanujan Prize in 2012.[12][18]
He is a titular member of the Brazilian Academy of Sciences since 2014.[1]
He shared the 2016 Oswald Veblen Prize in Geometry with André Neves.[8][19]
Personal life
He is married to mathematician Ana Maria Menezes. She was a student of Harold Rosenberg at IMPA, and is currently an instructor of mathematics at Princeton University.[20][21] Codá Marques and Menezes have a son named Pedro.[22]
References
- ↑ 1.0 1.1 Brazilian Academy of Sciences
- ↑ "Alagoano é destaque no Brasil e no exterior". culturadigital.br (in Portuguese). Retrieved on 11 May 2016.
- ↑ "Rede Globo > entrevistas - Fernando Codá relata os desafios da rotina de trabalho de um matemático". redeglobo.globo.com (in Portuguese). Retrieved on 11 May 2016.
- ↑ Revista Turismo e Negócios – "Entrevista: Pesquisador alagoano é destaque internacional" (2011, in Portuguese)
- ↑ 5.0 5.1 5.2 Lua error in package.lua at line 80: module 'strict' not found.
- ↑ "Department Prizes and Awards for Graduate Students". cornell.edu. Retrieved on 11 May 2016.
- ↑ Fernando Codá Marques at the Mathematics Genealogy Project
- ↑ 8.0 8.1 8.2 Lua error in package.lua at line 80: module 'strict' not found.
- ↑ "Princeton University - Board approves three faculty appointments". princeton.edu. Retrieved on 11 May 2016.
- ↑ Web-site of the Institute of Mathematics of the Jagiellonian University > Research > Łojasiewicz Lecture > Past lectures > 2014 Lecture > Fernando Coda Marques Retrieved on 20 May 2016.
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ 12.0 12.1 "News: Brazilian mathematician named Ramanujan Prize winner". abelprize.no. Retrieved on 11 May 2016.
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ Lua error in package.lua at line 80: module 'strict' not found..
- ↑ International Mathematical Union (IMU) . "ICM Plenary and Invited Speakers since 1897". mathunion.org. Retrieved on 16 May 2016.
- ↑ Seoul ICM 2014 – Schedule of Plenary Lectures.
- ↑ Lua error in package.lua at line 80: module 'strict' not found..
- ↑ "News, Events and Announcements". American Mathematical Society. Retrieved on 11 May 2016.
- ↑ Paulo Rolemberg (2013) – "Filha de agricultores, sergipana de 26 anos fará pós-doutorado na França". UOL Educação. Retrieved on 11 May 2016.
- ↑ "Ana Menezes". princeton.edu. Retrieved on 11 May 2016.
- ↑ Joint Mathematics Meeting, Seattle, AMS, MAA, "Prizes and Awards", 2016
External links
- Home page of Fernando Codá Marques at IMPA
- Academia Brasileira de Ciências – Fernando Codá dos Santos Cavalcanti Marques (in Portuguese)
- Interview to Alagoas 24 Horas (in Portuguese)
- Interview to Rede Globo (in Portuguese)
- CNPq – Jovem matemático é destaque no Brasil e no exterior (in Portuguese)
- Academia Brasileira de Ciências – Especial: Membros Afiliados da ABC do Rio de Janeiro 2009 (in Portuguese)
- Fernando Codá Marques at the Mathematics Genealogy Project
- Fernando Codá Marques' lecture "Soap films in mathematics" (video from 2014)
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- Brazilian mathematicians
- 1979 births
- Living people
- Cornell University alumni
- Princeton University faculty
- Differential geometers
- Members of the Brazilian Academy of Sciences
- People from São Carlos
- PDE theorists
- Topologists
- Instituto Nacional de Matemática Pura e Aplicada alumni
- Instituto Nacional de Matemática Pura e Aplicada researchers
- 21st-century mathematicians
- Brazilian expatriate academics in the United States
- Institute for Advanced Study visiting scholars
