Anthony Scholl

from Wikipedia, the free encyclopedia

Anthony J. Scholl (born December 18, 1955 ) is a British mathematician who specializes in number theory and arithmetic algebraic geometry.

Anthony Scholl, Oberwolfach 2005

Scholl studied from 1973 at Christ Church College of Oxford University with a bachelor's degree (with honors) in 1976 and was a senior there Scholar. In 1980 he received his doctorate there under Bryan John Birch ( Problems in Diophantine Geometry ). From 1981 he was a Junior Lecturer at Oxford and from 1982 to 1984 Junior Research Fellow at Wolfson College. In 1984 he became a lecturer at the University of Durham , where he became a professor in 1989 and headed the mathematics department from 1998 to 2001. Since 2001 he has been Kuwait Professor of Number Theory and Algebra at Cambridge University .

He was visiting professor at the University of Paris (1992) and at the Isaac Newton Institute in Cambridge in 1993 and 1998 . In 1989/90 he was at the Institute for Advanced Study .

In 1985 he used abstract cohomological methods of arithmetic algebraic geometry to prove the congruences of AOL Atkin and Peter Swinnerton-Dyer of modular forms, which were established in the 1960s from computer calculations . He dealt with the arithmetic of L-functions and the Beilinson conjectures.

In 1992 he received the Whitehead Prize . In 2001/02 he was a Leverhulme Fellow.

He is married to the pianist Gülsin Onay.

Fonts

  • Editor with Richard Taylor Galois representations in arithmetic algebraic geometry , Cambridge University Press 1998 (in it by Scholl: An Introduction to Kato 's Euler Systems , pp. 379–460)
  • Vanishing Cycles and non-classical parabolic cohomology , Inventiones Mathematicae, Volume 124, 1996, pp. 503-524
  • Height pairings and special values ​​of L-functions , in Uwe Jannsen , Steven Kleiman , Jean-Pierre Serre (editor) Motives (Seattle 1991) , Proc. Symp. Pure Math., Volume 55, 1994, Part 1, pp. 571-598 (which also includes Scholl Classical Motives )
  • Remarks on special values ​​of L-functions , in John Coates , Richard Taylor L-functions in Arithmetic , Cambridge University Press 1991, pp. 373–392 (also includes The Beilinson conjectures by Scholl and Christopher Deninger )
  • Motives for modular forms , Inventiones Mathematicae, Volume 100, 1990, pp. 419-430
  • Modular forms and de Rham cohomology; Atkinson-Swinnerton-Dyer congruences , Inventiones Mathematicae, Volume 79, 1985, pp. 49-77
  • A trace formula for F crystals , Inventiones Mathematicae, Volume 79, 1985, pp. 31-48

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Scholl, Anthony
ALTERNATIVE NAMES Scholl, Anthony J.
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH 18th December 1955