Celso José da Costa | |
---|---|
Born | April 7, 1949 Congonhinhas, Brazil |
Nationality | Brazilian |
Education | Ph.D. in Mathematics |
Alma mater | IMPA |
Occupation | Mathematician |
Known for | Research in differential geometry, Discovery of Costa's minimal surface |
Celso José da Costa (born April 7, 1949 in Congonhinhas) is a Brazilian writer and mathematician who worked in differential geometry. His research activity has focused in the construction and classification of minimal surfaces embedded in three-dimensional Euclidean space. He is best known for his discovery of Costa's minimal surface, which was described in 1982. [1]
He earned his Ph.D. from IMPA in 1982 under the supervision of Manfredo do Carmo. [2]
In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by Johann Benedict Listing and August Ferdinand Möbius in 1858, but it had already appeared in Roman mosaics from the third century CE. The Möbius strip is a non-orientable surface, meaning that within it one cannot consistently distinguish clockwise from counterclockwise turns. Every non-orientable surface contains a Möbius strip.
In mathematics, a minimal surface is a surface that locally minimizes its area. This is equivalent to having zero mean curvature.
Shing-Tung Yau is a Chinese-American mathematician. He is the director of the Yau Mathematical Sciences Center at Tsinghua University and Professor Emeritus at Harvard University. Until 2022 he was the William Caspar Graustein Professor of Mathematics at Harvard, at which point he moved to Tsinghua.
The year 1982 in science and technology involved many significant events, listed below.
Ennio De Giorgi was an Italian mathematician who worked on partial differential equations and the foundations of mathematics.
The Archdiocese of São Sebastião do Rio de Janeiro in Brazil was established as a territorial prelature on July 19, 1575. It was elevated to the status of a diocese on November 16, 1676. It was later elevated to a metropolitan archdiocese on April 27, 1892. On May 6, 2003, the territorial abbey of Nossa Senhora do Monserrate do Rio de Janeiro lost its territorial rank and was added to the archdiocese. Cardinal Orani João Tempesta OCist has been its Archbishop since 2009. Cardinal Eusébio Scheid SCI, who died on January 13, 2021, was Archbishop Emeritus.
Richard Melvin Schoen is an American mathematician known for his work in differential geometry and geometric analysis. He is best known for the resolution of the Yamabe problem in 1984.
Celso Augusto Daniel was the mayor in 2002 for the third time of the city of Santo André in São Paulo, Brazil, as a representative of the Workers' Party (PT). He was kidnapped and assassinated in the same year.
Itabirito is a municipality in the Minas Gerais state of Brazil. Its population is estimated to have 52,446 people in 2020. The city belongs to the mesoregion Metropolitan of Belo Horizonte and to the microregion of Ouro Preto.
Celso Borges Mora, is a Costa Rican professional footballer who plays as a central midfielder for Liga FPD club Alajuelense and the Costa Rica national team. With 163 international appearances, he is the most capped player in Costa Rica's history.
In mathematics, Costa's minimal surface, is an embedded minimal surface discovered in 1982 by the Brazilian mathematician Celso José da Costa. It is also a surface of finite topology, which means that it can be formed by puncturing a compact surface. Topologically, it is a thrice-punctured torus.
Costa, sometimes Costas, da Costa, Da Costa, or Dalla Costa, is an Italian, Spanish, Portuguese, Galician, Catalan, French, and Greek mostly toponymic surname. The surname spread throughout the world through colonization. It was also a surname chosen by former Jews due to Roman Catholic and other Christian conversions.
Leon Melvyn Simon, born in 1945, is a Leroy P. Steele Prize and Bôcher Prize-winning mathematician, known for deep contributions to the fields of geometric analysis, geometric measure theory, and partial differential equations. He is currently Professor Emeritus in the Mathematics Department at Stanford University.
James Hoffman is a software engineer and inventor who has worked in scientific visualization and was instrumental in producing the first visualization of Costa's minimal surface. His scientific visualizations have been published in Scientific American and Nature, among other journals. Most recently, Hoffman has been involved in the solar start-up company Sun Synchrony, which is developing his solar inventions.
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Manfredo Perdigão do Carmo was a Brazilian mathematician. He spent most of his career at IMPA and is seen as the doyen of differential geometry in Brazil.
David Allen Hoffman is an American mathematician whose research concerns differential geometry. He is an adjunct professor at Stanford University. In 1985, together with William Meeks, he proved that Costa's surface was embedded. He is a fellow of the American Mathematical Society since 2018, for "contributions to differential geometry, particularly minimal surface theory, and for pioneering the use of computer graphics as an aid to research." He was awarded the Chauvenet Prize in 1990 for his expository article "The Computer-Aided Discovery of New Embedded Minimal Surfaces". He obtained his Ph.D. from Stanford University in 1971 under the supervision of Robert Osserman.