Anders Wiman
Anders Wiman was a Swedish mathematician.Life
Wiman attained his doctorate from Lund University in 1892, under supervision of Carl Fabian Björling with thesis Klassifikation af regelytorna af sjette graden. He later taught at Uppsala University, where Arne Beurling and Fritz Carlson were among his students.
In 1904 Wiman was an Invited Speaker of the ICM in Heidelberg. He was from 1908 an editor of Acta Mathematica.Awards
He was elected a member of the Royal Swedish Academy of Sciences in 1905.Work
He introduced Wiman's sextic curve.
The main focus of his research was algebraic geometry and applications of group theory to geometry and function theory. He proved that for n > 7, in less than n–2 dimensions, there are no groups of collineations that are isomorphic to the symmetric or alternating group on n symbols. He also determined all finite groups of birational transformations of the plane. Wiman wrote the article on finite groups of linear transformations for Klein's encyclopedia. In function theory he did important work on entire functions. From 1914 to 1916 he introduced what is now called Wiman-Valiron theory. Wiman's generalization of a theorem of Hadamard is known as Wiman's theorem. His investigations on the zeros of the derivatives of entire functions — along with similar investigations by George Pólya – had a great influence on the theory of entire functions; in particular, the now-proved Wiman conjecture,
and the now-proved Pólya-Wiman conjecture have inspired much research.
