Objective At the research level, this proposal aims to address the conjectured relations between the algebraic, diophantine,and hyperbolic geometry of surfaces,as conjectured by lang, vojta,bombieri et AL. Specifically it intends to concentrate on the relation between the algebraic and hyperbolic geometry (via my method of dynamic diophantine approximation) together with its topological implications,in addition the arithmetic consequences (particularly improvements in Roths's theorem) which the said method may have will be considered. In this respect,while further advanced and more sharply focused, the research themes are broadly similar to those ennunciated on obtaining my aforementioned research training grant. However,being of category 40 type, this proposal includes the intention to broaden the base of the neopolitan mathematical community through frequent lectures and seminars on this and related material. Fields of science natural sciencesmathematicspure mathematicsarithmeticsnatural sciencesmathematicspure mathematicsgeometry Programme(s) FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998 Topic(s) 0302 - Post-doctoral research training grants TM99 - Other Mathematics and Information Sciences Call for proposal Data not available Funding Scheme RGI - Research grants (individual fellowships) Coordinator UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II EU contribution No data Address Complesso Universitario Monte S.Angelo, Edificio T 80126 NAPOLI Italy See on map Total cost No data Participants (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all Not available United Kingdom EU contribution No data Address See on map Total cost No data