John Toland (mathematician)

John Francis Toland (* 1949) is an Irish mathematician who deals with analysis and partial differential equations and hydrodynamics.

Toland went from 1960 to 1967 at the St. Columb 's College in Derry and then studied at Queen's University in Belfast ( bachelor's degree ) and at the University of Sussex ( master's degree ), where he earned his doctorate at Charles A. Stuart, 1973 ( Topological Methods for Nonlinear Eigenvalue problem). He was then to 1979 at the University of Essex in fluid Mechanics Research Centre and then at University College London. He's since the early 1980s, a professor at the University of Bath and also scientific director of the " International Centre for Mathematical Sciences" ( ICMS ) in Edinburgh. He has been a visiting professor in Germany, the U.S., France, the Netherlands, Australia.

He worked among others with the mathematical theory of stationary water waves and partly with the 1991 late Charles Amick ( University of Chicago). In 1978 he proved a conjecture of George Gabriel Stokes on the existence of gravity waves of maximum height in deep water ( On the Existence of a Wave of Greatest Height and Stokes 's Conjecture, Proc. Royal Society, Bd.363, p 469 ), a more than 100 years open problem of hydrodynamics. Here he worked with John Bryce McLeod and LE Fraenkel. In the eulogy for his admission into the Royal Society, his fundamental contributions to the global bifurcation theory of differential equations and his discovery of a new duality principle were emphasized in the calculus of variations. In his studies he turned from him and co- authors recently developed topological methods.

In 2000 he was awarded the Senior Berwick Prize for the work The index change and global bifurcation for flows with a first integral ( with E. Norman Dancer, in Proc. LMS. Band 36th 1993, pp. 539-567 ). He is since 1999 a Fellow of the Royal Society, the Wolfson Merit Award he received. From 2005 to 2007 he was President of the London Mathematical Society (LMS). In 2009 he became an honorary doctorate from the University of Essex. In 2012 he received the Sylvester Medal of the Royal Society.

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