Citation | Distinguished for his deep and important contributions to transcendence and diophantine geometry. His early work on zero estimates on group varieties was a crucial step in the ultimately successful goal, finally achieved by Wüstholz, of establishing the natural generalisation to algebraic groups of the theory of logarithmic forms. As a consequence of this development, there is now considerable and fruitful interplay between transcendence theory and many aspects of arithmetical algebraic geometry. As an example, Masser and Wüstholz obtained in this way a new proof of a fundamental conjecture of Tate and thus made effective a central component of Faltings' famous work on the Mordell conjecture. In an entirely different context, Masser is also responsible, following an earlier insight of Oesterlé, for formulating the abc-conjecture; this is a simple statement about integers which seems to hold the key to much of the future direction of number theory. |