Harold William Rosenberg

Harold William Rosenberg (* 1941 ) is an American mathematician who studies differential geometry .

Rosenberg received his master’s degree in 1960 and received his PhD in 1963 from the University of California, Berkeley , with Stephen Diliberto ( Inequalities for periodic surfaces of vector fields ). He was then an assistant professor at Columbia University until 1966 . From 1971 he was professor at the University of Paris-Süd and has been professor at IMPA in Rio de Janeiro since 2007 .

At first he dealt with foliage and later especially with minimal surfaces. He published with William Meeks , among others . With Meeks he proved that the plane and the helical surface (helicoids) are the only simply connected , simply embedded minimal surfaces in Euclidean . ${\displaystyle \mathbb {R} ^{3}}$

In 2006, together with Pascal Collin, he refuted an assumption made by Richard Schoen (named after Schoen and Shing-Tung Yau ) about the non-existence of a harmonic diffeomorphism from the complex level to the hyperbolic level . They used Scherk's minimal surfaces. ${\displaystyle \mathbb {C} }$ ${\displaystyle \mathbb {H} }$

In 2005 he received the Grand Cross of the Ordem Nacional do Merito Cientifico in Brazil. He has been a member of the Brazilian Academy of Sciences since 2005. In 1987 he received the Prix Marie Guido-Trossi of the Académie des Sciences .

His doctoral students include Christian Bonatti , Michael Herman , Rémi Langevin , and Norbert A'Campo .

Web links

• Homepage at IMPA
• CV at IMPA

Individual evidence

1. ↑ Meeks, Rosenberg: The uniqueness of the helicoid , Annals of Mathematics, Volume 161, 2005, pp. 727-758.
2. ↑ Collin, Rosenberg: Construction of harmonic diffeomorphisms and minimal graphs , Annals of Mathematics, Volume 172, 2010, pp. 1879–1906