Michael McQuillan (mathematician) explained

Michael Liam McQuillan
Citizenship:United Kingdom
Occupation:mathematician
Education:Ph.D., Harvard University, 1992

Michael Liam McQuillan is a Scottish mathematician studying algebraic geometry. As of 2019 he is Professor at the University of Rome Tor Vergata.

Career

Michael McQuillan received the doctorate in 1992 at Harvard University under Barry Mazur ("Division points on semi-Abelian varieties").[1]

In 1995, McQuillan proved the Mordell–Lang conjecture.[2] In 1996, MacQuillan gave a new proof of a conjecture of André Bloch (1926) about holomorphic curves in closed subvarieties of Abelian varieties,[3] proved a conjecture of Shoshichi Kobayashi (about the Kobayashi-hyperbolicity of generic hypersurfaces of high degree in projective n-dimensional space) in the three-dimensional case[4] and achieved partial results on a conjecture of Mark Green and Phillip Griffiths (which states that a holomorphic curve on an algebraic surface of general type with

2
c
1

>c2

cannot be Zariski-dense).[5]

From 1996 to 2001 he was a post-doctoral Research Fellow at All Souls College of the University of Oxford[6] [7] and in 2009 was Professor at the University of Glasgow as well as Advanced Research Fellow of the British Engineering and Physical Sciences Research Council. As of 2019 he is Professor at the University of Rome Tor Vergata and an editor of the European Journal of Mathematics.[8]

Awards

In 2000 McQuillan received the EMS Prize, which was announced from the European Congress of Mathematics in July 2000, for his work:

In 2001 he was awarded the Whitehead Prize of the London Mathematical Society.[9] In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Integrating

\partial\bar{\partial}

).[10] In 2001 he received the Whittaker Prize.[11]

Notes and References

  1. Web site: Harvard Department of Mathematics PhD Dissertations Archival Listing. Harvard University .
  2. McQuillan . Michael . 1995-12-01 . Division points on semi-abelian varieties . Inventiones mathematicae . en . 120 . 1 . 143–159 . 10.1007/BF01241125 . 1432-1297.
  3. McQuillan . Michael Liam . A new proof of the Bloch conjecture . . 5 . 1996 . 107–117 . 1358036 . 1. Bloch's proof was incomplete. Ochiai proved special cases. The first proof was by Mark Green, who presented a further proof with Phillip Griffiths in 1979.
  4. McQuillan . Michael Liam . Holomorphic curves on hyperplane sections of 3-folds . . 9 . 1999 . 370–392 . 2 . 1692470 . 10.1007/s000390050091. At about the same time Jean-Pierre Demailly and J. El-Goul also achieved similar results.
  5. McQuillan . Michael Liam . Diophantine approximations and foliations . . 87 . 1998 . 121–174 . 1659270 . 10.1007/BF02698862 .
  6. Web site: Dr Michael McQuillan. All Souls College.
  7. Web site: All Souls College: Mathematics. All Souls College.
  8. Web site: European Journal of Mathematics: Editors. Springer.
  9. Web site: Citation for Michael McQuillan (Laudatio for the Whitehead Prize). https://web.archive.org/web/20040822202940/http://www.lms.ac.uk/activities/prizes_com/citations01/mcquillan.html. 2004-08-22. London Mathematical Society. 2001-07-02.
  10. Web site: ICM Plenary and Invited Speakers. International Mathematical Union. 2024-06-12.
  11. Web site: EMS Whittaker Prize. MacTutor History of Mathematics Archive. University of St Andrews. 2024-06-12.