Michael McQuillan (mathematician)

Michael Liam McQuillan is a British mathematician who deals with algebraic geometry.

McQuillan his PhD in 1993 from Harvard University with Barry Mazur ( Division Points on Abelian Varieties Semi- ). He was at All Souls College, University of Oxford and is currently (2009) professor at the University of Glasgow and Advanced Research Fellow of the UK EPSRC.

McQuillan deals with algebraic geometry. In his thesis he proved a twenty- year-old conjecture of Serge Lang semiabelsche varieties. He built from the theory found by Paul Vojta ( analogy of Nevanlinna theory of value distribution theory of functions in Diophantine geometry) and turned the case method he developed the dynamic diophantine approximation in transcendental algebraic geometry (ie, for varieties over the complex numbers, where are methods of complex analysis applicable). Specifically, he realized or achieved progress in some assumptions about the hyperbolicity of subvarieties of algebraic varieties. For example, he gave a new proof of a conjecture of André Bloch ( 1926) on holomorphic curves in closed subvarieties of abelian varieties, proved a conjecture of Shoshichi Kobayashi (via the Kobayashi - hyperbolicity of generic hypersurfaces of high degree in projective n-space ) in the three-dimensional case and achieved partial results at a conjecture of Mark Green and Phillip Griffiths ( stating that a holomorphic curve on an algebraic surface with general type can not be Zariski - dense)

He also studied algebraic differential equations on varieties and works on non-commutative Mori theory.

In 2000 he was awarded the EMS price. In 2001 he was awarded the Whitehead Prize from the London Mathematical Society for his work. In 2002 he was invited speaker at the ICM in Beijing (Integrating ). In 2001 he received the Whittaker Prize.