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{{Short description|Brazilian mathematician}}
{{Short description|Brazilian mathematician}}
{{Infobox scientist
{{Infobox scientist
|name = Manfredo do Carmo
| name = Manfredo do Carmo
|image = Manfredo do Carmo 1979 (headshot, enlarged).jpg
| image = Manfredo do Carmo 1979 (headshot, enlarged).jpg
|image_upright =
| image_upright =
|alt =
| alt =
|caption = do Carmo in 1979
| caption = do Carmo in 1979
|birth_date = {{birth date|1928|8|15|df=y}}
| birth_date = {{birth date|1928|8|15|df=y}}
|birth_place = [[Maceió]]
| birth_place = [[Maceió]]
|death_date = {{death date and age|2018|4|30|1928|8|15|df=y}}
| death_date = {{death date and age|2018|4|30|1928|8|15|df=y}}
|death_place = [[Rio de Janeiro]]
| death_place = [[Rio de Janeiro]]
|residence = [[Brazil]]
| citizenship =
|citizenship =
| nationality = Brazilian
|nationality = Brazilian
| ethnicity =
| fields = [[Mathematics]]

⚫
| workplaces = [[Instituto Nacional de Matemática Pura e Aplicada]]
|ethnicity =
|fields = [[Mathematics]]
| alma_mater = [[University of California, Berkeley]]
| thesis_title = The Cohomology Ring of Certain Kahlerian Manifolds
⚫
|workplaces = [[Instituto Nacional de Matemática Pura e Aplicada]]
| thesis_year = 1963
|alma_mater = [[University of California, Berkeley]]
|doctoral_advisor = [[Shiing-Shen Chern]]
| doctoral_advisor = [[Shiing-Shen Chern]]
|academic_advisors =
| academic_advisors =
|doctoral_students = [[Celso Costa]]<br />[[Marcos Dajczer]]<br />[[Keti Tenenblat]]
| doctoral_students = [[Celso Costa]]<br />[[Marcos Dajczer]]<br />[[Keti Tenenblat]]
|notable_students =
| notable_students =
|known_for =
| known_for =
|influences =
| influences =
|influenced = [[Fernando Codá Marques]]
| influenced = [[Fernando Codá Marques]]
|awards = [[National Order of Scientific Merit (Brazil)|Brazil's National Order of Scientific Merit]] (1995)<br/>[[TWAS Prize]] (1987)<br/>[[American Mathematical Society|AMS Fellow]] (2012)
| awards = [[National Order of Scientific Merit (Brazil)|Brazil's National Order of Scientific Merit]] (1995)<br/>[[TWAS Prize]] (1987)<br/>[[American Mathematical Society|AMS Fellow]] (2012)
|religion =
| religion =
|signature = <!--(filename only)-->
| signature = <!--(filename only)-->
|signature_alt =
| signature_alt =
|footnotes =
| footnotes =
}}
}}


'''Manfredo Perdigão do Carmo''' (15 August 1928 – 30 April 2018) was a Brazilian mathematician, doyen of Brazilian [[differential geometry]], and former president of the [[Brazilian Mathematical Society]].<ref name="gug">[https://web.archive.org/web/20150113232909/http://www.gf.org/fellows/2288-manfredo-perdigao-do-carmo Biography from the Guggenheim Foundation]</ref> He was at the time of his death an emeritus researcher at the [[Instituto Nacional de Matemática Pura e Aplicada|IMPA]].
'''Manfredo Perdigão do Carmo''' (15 August 1928 – 30 April 2018) was a [[Brazil|Brazilian]] [[mathematician]], specialising in [[differential geometry]]. He spent most of his career at [[Instituto Nacional de Matemática Pura e Aplicada|IMPA]] and was a former president of the [[Brazilian Mathematical Society]].


== Education and career ==
He is known for his research on [[Riemannian manifold]]s, [[topology]] of [[manifold]]s, rigidity and convexity of isometric immersions, [[minimal surface]]s, stability of [[hypersurface]]s, [[isoperimetric problem]]s, minimal submanifolds of a sphere, and manifolds of constant mean curvature and vanishing scalar curvature.<ref name="gug"/>
Do Carmo studied [[civil engineering]] at the [[University of Recife]] from 1947 to 1951. After working a few years as engineer, he accepted a teaching position at the newly created Institute of Physics and Mathematics at Recife.<ref name=":0">{{Cite journal|last=Queiroz|first=Antonio José Melo de|date=2020|title=O percurso profissional de Manfredo Perdigão do Carmo e a geometria differencial no Brasil|url=https://revistas.uece.br/index.php/BOCEHM/article/view/2819|journal=Boletim Cearense de Educação e História da Matemática|language=pt|volume=7|issue=20|pages=266–276|doi=10.30938/bocehm.v7i20.2819|issn=2447-8504}}</ref>


On suggestion of [[Elon Lages Lima|Elon Lima]], in 1959 he went to [[Instituto Nacional de Matemática Pura e Aplicada]] to improve his background<ref name=":0">{{Cite journal|last=Queiroz|first=Antonio José Melo de|date=2020|title=O percurso profissional de Manfredo Perdigão do Carmo e a geometria differencial no Brasil|url=https://revistas.uece.br/index.php/BOCEHM/article/view/2819|journal=Boletim Cearense de Educação e História da Matemática|language=pt|volume=7|issue=20|pages=266–276|doi=10.30938/bocehm.v7i20.2819|issn=2447-8504}}</ref><ref name=":1">{{Citation|last=Carmo|first=Manfredo P. do|title=A Summary of the Scientific Activities|date=2012|url=https://doi.org/10.1007/978-3-642-25588-5_1|work=Manfredo P. do Carmo – Selected Papers|pages=1–5|editor-last=do Carmo|editor-first=Manfredo P.|place=Berlin, Heidelberg|publisher=Springer|language=en|doi=10.1007/978-3-642-25588-5_1|isbn=978-3-642-25588-5|access-date=2022-01-31|editor2-last=Tenenblat|editor2-first=Keti}}</ref> and in 1960 he moved to the USA to pursue a Ph.D. in mathematics at the [[University of California, Berkeley]] under the supervision of [[Shiing-Shen Chern]]. He defended his thesis, entitled "''The Cohomology Ring of Certain Kahlerian Manifolds''" in 1963.<ref name="MGP">{{mathgenealogy|id=31508}}</ref>
He earned his Ph.D. from the [[University of California, Berkeley]] in 1963 under the supervision of [[Shiing-Shen Chern]].<ref name="MGP">{{mathgenealogy|id=31508}}</ref>
He was a [[Guggenheim Fellowships|Guggenheim Fellow]] in 1965 and 1968.<ref name="gug"/> He was a member of the [[Brazilian Academy of Sciences]] and [[The World Academy of Sciences]] (TWAS).<ref name="gug"/> He received the Brazilian National Prize for Science and Technology of the [[National Council for Scientific and Technological Development]] (CNPq), the [[National Order of Scientific Merit]] (1995), an honorary doctorate from the [[University of Alagoas]] (1991) and the [[TWAS Prize]] (1992).<ref name="Prizes and Awards">{{Cite web |url=http://twas.org/opportunities/prizes-and-awards |title=Prizes and Awards |date=2016 |publisher=The World Academy of Sciences}}</ref> He was a Fellow of the [[American Mathematical Society]].<ref>[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2015-01-13.</ref>


After working again at [[University of Recife]] and at the [[University of Brasília|University of Brasilia]], in 1966 he become professor at [[Instituto Nacional de Matemática Pura e Aplicada]] (IMPA) in [[Rio de Janeiro]]. From 2003 to his death he was [[Emeritus|emeritus professor]].<ref name=":0">{{Cite journal|last=Queiroz|first=Antonio José Melo de|date=2020|title=O percurso profissional de Manfredo Perdigão do Carmo e a geometria differencial no Brasil|url=https://revistas.uece.br/index.php/BOCEHM/article/view/2819|journal=Boletim Cearense de Educação e História da Matemática|language=pt|volume=7|issue=20|pages=266–276|doi=10.30938/bocehm.v7i20.2819|issn=2447-8504}}</ref>
In 1978 he was an [[list of International Congresses of Mathematicians Plenary and Invited Speakers|invited speaker at the International Congress of Mathematicians]] held in Helsinki (the theme was "''Minimal Surfaces: Stability and Finiteness''").<ref name="gug"/><ref>{{citation
| last = do Carmo | first = Manfredo P.
| contribution = Minimal surfaces: stability and finiteness
| mr = 562633
| pages = 401–405
| publisher = Acad. Sci. Fennica, Helsinki
| title = Proceedings of the International Congress of Mathematicians (Helsinki, 1978)
| year = 1980}}.</ref>


Do Carmo was a [[Guggenheim Fellowships|Guggenheim Fellow]] in [[List of Guggenheim Fellowships awarded in 1965|1965]] and [[List of Guggenheim Fellowships awarded in 1968|1968]].<ref name="gug">[https://web.archive.org/web/20150113232909/http://www.gf.org/fellows/2288-manfredo-perdigao-do-carmo Biography from the Guggenheim Foundation]</ref><ref>{{Cite web|title=John Simon Guggenheim Foundation {{!}} Manfredo Perdigao do Carmo|url=https://www.gf.org/fellows/all-fellows/manfredo-perdigao-do-carmo/|access-date=2022-01-31|language=en-US}}</ref> In 1978 he was [[List of International Congresses of Mathematicians Plenary and Invited Speakers#1978, Helsinki|invited speaker]] at the [[International Congress of Mathematicians]] held in [[Helsinki]] (the theme was "''Minimal Surfaces: Stability and Finiteness''").<ref>{{Cite book|url=https://www.mathunion.org/fileadmin/ICM/Proceedings/ICM1978.1/ICM1978.1.ocr.pdf|title=Proceedings of the International Congress of Mathematician 1978|year=1980|editor-last=Lehto|editor-first=Olii|editor-link=Olli Lehto|location=Helsinki|pages=401}}</ref><ref>{{citation|last=do Carmo|first=Manfredo P.|title=Proceedings of the International Congress of Mathematicians (Helsinki, 1978)|pages=401–405|year=1980|contribution=Minimal surfaces: stability and finiteness|publisher=Acad. Sci. Fennica, Helsinki|mr=562633}}.</ref>
⚫
Do Carmo is also known for his textbooks. They were translated into many languages and used in courses from universities such as [[Harvard University|Harvard]] and [[Columbia University|Columbia]].<ref>{{cite book|editor=Shozo Motoyama|title=Prelúdio para uma história: ciência e tecnologia no Brasil|url=https://books.google.com/books?id=z_BNPYRNmyYC&pg=PA358|year=2004|publisher=EdUSP|language=Portuguese|isbn=978-85-314-0797-0|page=358}}</ref>


He served as president of the [[Brazilian Mathematical Society]] in the term 1971-1973.<ref>{{Cite web|title=Diretorias Anteriores – SBM – Sociedade Brasileira de Matemática|url=https://sbm.org.br/diretorias-anteriores/|access-date=2022-01-31|language=pt-BR}}</ref> He was elected a member of the [[Brazilian Academy of Sciences]] in 1970<ref>{{Cite web|title=Manfredo Perdigão do Carmo – ABC|url=https://www.abc.org.br/membro/manfredo-perdigao-do-carmo/|access-date=2022-01-31|language=pt-BR}}</ref>, a member of the [[The World Academy of Sciences]] (TWAS) in 1997<ref name=":2">{{Cite web|title=do Carmo, Manfredo P.|url=https://twas.org/directory/do-carmo-manfredo-p|access-date=2022-01-31|website=TWAS|language=en}}</ref> and a fellow of the [[American Mathematical Society]] In 2013.<ref>[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2015-01-13.</ref>
⚫
His students included [[Celso Costa]], [[Marcos Dajczer]] and [[Keti Tenenblat]].<ref name="MGP" />


He received the Brazilian National Prize for Science and Technology of the [[National Council for Scientific and Technological Development]] in 1984, the [[List of TWAS Prize laureates#Mathematics|TWAS Prize in Mathematics]] in 1992<ref name=":2">{{Cite web|title=do Carmo, Manfredo P.|url=https://twas.org/directory/do-carmo-manfredo-p|access-date=2022-01-31|website=TWAS|language=en}}</ref><ref name="Prizes and Awards">{{Cite web|date=2016|title=Prizes and Awards|url=http://twas.org/opportunities/prizes-and-awards|publisher=The World Academy of Sciences}}</ref> and the [[National Order of Scientific Merit#Mathematics|National Order of Scientific Merit]] in 1995.
Do Carmo died on 30 April 2018 at the age of 89.<ref>{{cite web|url=https://impa.br/page-noticias/matematico-manfredo-do-carmo-morre-aos-89-anos/|title=Matemático Manfredo do Carmo morre aos 89 anos|work=Impa|language=Portuguese|access-date=1 May 2018}}</ref>

Do Carmo died on 30 April 2018 at the age of 89.<ref>{{cite web|title=Matemático Manfredo do Carmo morre aos 89 anos|url=https://impa.br/page-noticias/matematico-manfredo-do-carmo-morre-aos-89-anos/|access-date=1 May 2018|work=Impa|language=Portuguese}}</ref><ref>{{Cite web|title=Decease of Prof. Do Carmo {{!}} European Mathematical Society|url=https://euro-math-soc.eu/news/18/05/2/decease-prof-do-carmo|access-date=2022-01-31|website=euro-math-soc.eu}}</ref><ref>{{Cite web|title=News from the AMS|url=https://www.ams.org/news?news_id=4325|access-date=2022-01-31|website=American Mathematical Society|language=en}}</ref>

== Research ==
Do Carmo's research involved [[Riemannian manifold]]s, [[topology]] of [[manifold]]s, rigidity and convexity of [[Isometric immersion|isometric immersions]], [[minimal surface]]s, stability of [[hypersurface]]s, [[isoperimetric problem]]s, [[Minimal submanifold|minimal submanifolds]] of a [[sphere]], and manifolds of constant [[mean curvature]] and vanishing [[scalar curvature]].<ref name="gug" /><ref name=":1">{{Citation|last=Carmo|first=Manfredo P. do|title=A Summary of the Scientific Activities|date=2012|url=https://doi.org/10.1007/978-3-642-25588-5_1|work=Manfredo P. do Carmo – Selected Papers|pages=1–5|editor-last=do Carmo|editor-first=Manfredo P.|place=Berlin, Heidelberg|publisher=Springer|language=en|doi=10.1007/978-3-642-25588-5_1|isbn=978-3-642-25588-5|access-date=2022-01-31|editor2-last=Tenenblat|editor2-first=Keti}}</ref>

⚫
Do Carmo is also known for his textbooks. They were translated into many languages and used in courses from universities such as [[Harvard University|Harvard]] and [[Columbia University|Columbia]].<ref>{{cite book|editor=Shozo Motoyama|title=Prelúdio para uma história: ciência e tecnologia no Brasil|url=https://books.google.com/books?id=z_BNPYRNmyYC&pg=PA358|year=2004|publisher=EdUSP|language=Portuguese|isbn=978-85-314-0797-0|page=358}}</ref><ref name=":0">{{Cite journal|last=Queiroz|first=Antonio José Melo de|date=2020|title=O percurso profissional de Manfredo Perdigão do Carmo e a geometria differencial no Brasil|url=https://revistas.uece.br/index.php/BOCEHM/article/view/2819|journal=Boletim Cearense de Educação e História da Matemática|language=pt|volume=7|issue=20|pages=266–276|doi=10.30938/bocehm.v7i20.2819|issn=2447-8504}}</ref>

⚫
He supervised 27 PhD students, including [[Celso Costa]], [[Marcos Dajczer]] and [[Keti Tenenblat]].<ref name="MGP" />


==Awards and honors==
==Awards and honors==
Line 61: Line 63:
* ''[[Honorary degree]]'', [[Federal University of Alagoas]] (1991)
* ''[[Honorary degree]]'', [[Federal University of Alagoas]] (1991)
* [[TWAS Prize#Mathematics|Third World Academy of Sciences Prize]] (1992)
* [[TWAS Prize#Mathematics|Third World Academy of Sciences Prize]] (1992)
* ''National Order of Scientific Merit'', Grand Cross (1995)
* ''[[National Order of Scientific Merit#Mathematics|National Order of Scientific Merit]]'', Grand Cross (1995)
* ''Comenda Graciliano Ramos'', [[Maceió]] (2000)
* ''Comenda Graciliano Ramos'', [[Maceió]] (2000)
* ''[[Emeritus|Emeritus Researcher]]'', [[Instituto Nacional de Matemática Pura e Aplicada|IMPA]] (2003)
* ''[[Emeritus|Emeritus Researcher]]'', [[Instituto Nacional de Matemática Pura e Aplicada|IMPA]] (2003)
Line 93: Line 95:
[[Category:TWAS laureates]]
[[Category:TWAS laureates]]
[[Category:People from Maceió]]
[[Category:People from Maceió]]


{{Brazil-bio-stub}}
{{math-bio-stub}}

Revision as of 23:12, 31 January 2022

Manfredo do Carmo
do Carmo in 1979
Born(1928-08-15)15 August 1928
Maceió
Died30 April 2018(2018-04-30) (aged 89)
Rio de Janeiro
NationalityBrazilian
Alma materUniversity of California, Berkeley
AwardsBrazil's National Order of Scientific Merit (1995)
TWAS Prize (1987)
AMS Fellow (2012)
Scientific career
FieldsMathematics
InstitutionsInstituto Nacional de Matemática Pura e Aplicada
Thesis The Cohomology Ring of Certain Kahlerian Manifolds  (1963)
Doctoral advisorShiing-Shen Chern
Doctoral studentsCelso Costa
Marcos Dajczer
Keti Tenenblat

Manfredo Perdigão do Carmo (15 August 1928 – 30 April 2018) was a Brazilian mathematician, specialising in differential geometry. He spent most of his career at IMPA and was a former president of the Brazilian Mathematical Society.

Education and career

Do Carmo studied civil engineering at the University of Recife from 1947 to 1951. After working a few years as engineer, he accepted a teaching position at the newly created Institute of Physics and Mathematics at Recife.[1]

On suggestion of Elon Lima, in 1959 he went to Instituto Nacional de Matemática Pura e Aplicada to improve his background[1][2] and in 1960 he moved to the USA to pursue a Ph.D. in mathematics at the University of California, Berkeley under the supervision of Shiing-Shen Chern. He defended his thesis, entitled "The Cohomology Ring of Certain Kahlerian Manifolds" in 1963.[3]

After working again at University of Recife and at the University of Brasilia, in 1966 he become professor at Instituto Nacional de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro. From 2003 to his death he was emeritus professor.[1]

Do Carmo was a Guggenheim Fellow in 1965 and 1968.[4][5] In 1978 he was invited speaker at the International Congress of Mathematicians held in Helsinki (the theme was "Minimal Surfaces: Stability and Finiteness").[6][7]

He served as president of the Brazilian Mathematical Society in the term 1971-1973.[8] He was elected a member of the Brazilian Academy of Sciences in 1970[9], a member of the The World Academy of Sciences (TWAS) in 1997[10] and a fellow of the American Mathematical Society In 2013.[11]

He received the Brazilian National Prize for Science and Technology of the National Council for Scientific and Technological Development in 1984, the TWAS Prize in Mathematics in 1992[10][12] and the National Order of Scientific Merit in 1995.

Do Carmo died on 30 April 2018 at the age of 89.[13][14][15]

Research

Do Carmo's research involved Riemannian manifolds, topology of manifolds, rigidity and convexity of isometric immersions, minimal surfaces, stability of hypersurfaces, isoperimetric problems, minimal submanifolds of a sphere, and manifolds of constant mean curvature and vanishing scalar curvature.[4][2]

Do Carmo is also known for his textbooks. They were translated into many languages and used in courses from universities such as Harvard and Columbia.[16][1]

He supervised 27 PhD students, including Celso Costa, Marcos Dajczer and Keti Tenenblat.[3]

Awards and honors

Books

  • Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976
  • Riemannian Geometry, Birkhäuser, 1992
  • Differential Forms and Applications, Springer Verlag, Universitext, 1994
  • Manfredo P. do Carmo – Selected Papers (ed. Keti Tenenblat), Springer, 2012, first volume of the collection “Selected Works of Outstanding Brazilian Mathematicians”
  • Eduardo Wagner, Augusto Cezar de Oliveira Morgado, Manfredo Perdigão do Carmo . Trigonometria – Números Complexos ISBN 8583370168

References

  1. ^ a b c d Queiroz, Antonio José Melo de (2020). "O percurso profissional de Manfredo Perdigão do Carmo e a geometria differencial no Brasil". Boletim Cearense de Educação e História da Matemática (in Portuguese). 7 (20): 266–276. doi:10.30938/bocehm.v7i20.2819. ISSN 2447-8504.
  2. ^ a b Carmo, Manfredo P. do (2012), do Carmo, Manfredo P.; Tenenblat, Keti (eds.), "A Summary of the Scientific Activities", Manfredo P. do Carmo – Selected Papers, Berlin, Heidelberg: Springer, pp. 1–5, doi:10.1007/978-3-642-25588-5_1, ISBN 978-3-642-25588-5, retrieved 2022-01-31
  3. ^ a b Manfredo do Carmo at the Mathematics Genealogy Project
  4. ^ a b Biography from the Guggenheim Foundation
  5. ^ "John Simon Guggenheim Foundation | Manfredo Perdigao do Carmo". Retrieved 2022-01-31.
  6. ^ Lehto, Olii, ed. (1980). Proceedings of the International Congress of Mathematician 1978 (PDF). Helsinki. p. 401.{{cite book}}: CS1 maint: location missing publisher (link)
  7. ^ do Carmo, Manfredo P. (1980), "Minimal surfaces: stability and finiteness", Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, Helsinki, pp. 401–405, MR 0562633.
  8. ^ "Diretorias Anteriores – SBM – Sociedade Brasileira de Matemática" (in Brazilian Portuguese). Retrieved 2022-01-31.
  9. ^ "Manfredo Perdigão do Carmo – ABC" (in Brazilian Portuguese). Retrieved 2022-01-31.
  10. ^ a b "do Carmo, Manfredo P." TWAS. Retrieved 2022-01-31.
  11. ^ List of Fellows of the American Mathematical Society, retrieved 2015-01-13.
  12. ^ "Prizes and Awards". The World Academy of Sciences. 2016.
  13. ^ "Matemático Manfredo do Carmo morre aos 89 anos". Impa (in Portuguese). Retrieved 1 May 2018.
  14. ^ "Decease of Prof. Do Carmo | European Mathematical Society". euro-math-soc.eu. Retrieved 2022-01-31.
  15. ^ "News from the AMS". American Mathematical Society. Retrieved 2022-01-31.
  16. ^ Shozo Motoyama, ed. (2004). Prelúdio para uma história: ciência e tecnologia no Brasil (in Portuguese). EdUSP. p. 358. ISBN 978-85-314-0797-0.
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