Fernando Codá Marques

Fernando Codá Marques
Born (1979-10-08) October 8, 1979
São Carlos, Brazil[1]
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)[2]
ICTP Ramanujan Prize (2012)
Battig Prize (2001)[3]
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 and partial differential equations.[4] He is a professor at Princeton University. In 2012, together with André Neves, he proved the Willmore conjecture.[5]

Biography

Fernando Codá Marques was born in São Carlos and grew up in Maceió. His parents were both professors of engineering.[1]

Marques started as a student of civil engineering at the Federal University of Alagoas in 1996, but switched to mathematics after two years.[6][7]

Following the advice of Manfredo do Carmo, Codá 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 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.[8]

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).[9]

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.[8]

He worked at the IMPA from 2003 to 2014.[4]

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."[8]

On September 1, 2014, Codá joined Princeton University as a full professor.[10]

Work

Some of his best known works are the following:[11][12]

Professor Marques is currently working to extend Almgren–Pitts min-max theory.[16]

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”),[17] and a plenary speaker at the ICM of 2014 in Seoul (on “Minimal surfaces – variational theory and applications”).[18]

He was awarded the ICTP Ramanujan Prize in 2012.[5][19]

He is a titular member of the Brazilian Academy of Sciences since 2014.[20]

He shared the 2016 Oswald Veblen Prize in Geometry with André Neves.[11][21]

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.[22][23]

References

  1. 1 2 Agência de Notícias Ciênci@lagoas – Alagoano é destaque no Brasil e no exterior
  2. ↑ Joint Mathematics Meeting, Seattle, AMS, MAA, "Prizes and Awards", 2016
  3. ↑ Cornell University – Department Prizes and Awards for Graduate Students
  4. 1 2 Curriculum Vitae of Fernando Codá Marques (April 10, 2014)
  5. 1 2 The Abel Prize – Brazilian mathematician named Ramanujan Prize winner
  6. ↑ Portuguese-language interview to Globo
  7. ↑ Revista Turismo e Negócios – "Entrevista: Pesquisador alagoano é destaque internacional" (2011, in Portuguese)
  8. 1 2 3 João Moreira Salles (December 2013), "Senhor dos anéis: Um grande resultado matemático e as suas consequências", Revista Piauí (in Portuguese)
  9. ↑ Fernando Codá Marques at the Mathematics Genealogy Project
  10. ↑ Princeton University – Board approves three faculty appointments
  11. 1 2 "2016 Oswald Veblen Prize in Geometry" (PDF), Notices of the AMS 63 (4), April 2016: 429–431
  12. ↑ http://www.im.uj.edu.pl/en/lojasiewicz/2014/fernando-coda-marques
  13. ↑ Marques, Fernando; Neves, André (2014-01-01). "Min-Max theory and the Willmore conjecture". Annals of Mathematics 179 (2): 683–782. arXiv:1202.6036. doi:10.4007/annals.2014.179.2.6.
  14. ↑ Agol, Ian; Marques, Fernando; Neves, André (2015-01-01). "Min-max theory and the energy of links". Journal of the American Mathematical Society 29: 561–578. arXiv:1205.0825. doi:10.1090/jams/835. ISSN 0894-0347.
  15. ↑ Brendle, Simon; Marques, Fernando C.; Neves, Andre (2010-12-08). "Deformations of the hemisphere that increase scalar curvature". Inventiones Mathematicae 185 (1): 175–197. arXiv:1004.3088. doi:10.1007/s00222-010-0305-4. ISSN 0020-9910.
  16. ↑ "Interview with Fernando Codá Marques" (PDF), Notices of the AMS 63 (2), February 2016: 142–143.
  17. ↑ IMU – ICM Plenary and Invited Speakers since 1897.
  18. ↑ Seoul ICM 2014 – Schedule of Plenary Lectures.
  19. ↑ Kehoe, Elaine (February 2013), "Codá Marques Awarded Ramanujan and TWAS Prizes" (PDF), Mathematics People, Notices of the AMS 60 (2): 245.
  20. ↑ Brazilian Academy of Sciences
  21. ↑ http://www.ams.org/news?news_id=2866
  22. ↑ Paulo Rolemberg (2013) – "Filha de agricultores, sergipana de 26 anos fará pós-doutorado na França", UOL Educação
  23. ↑ https://www.math.princeton.edu/directory/ana-menezes

External links

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