David Burns (mathematician)

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David Burns (* 1963 ) is a British mathematician who studies number theory.

Burns received his doctorate in 1990 from Albrecht Fröhlich at Cambridge University ( Factorisability, Group Lattices and Galois Module Structure ). He is a professor at King's College London .

Among other things, he was visiting professor in Bordeaux, Paris and Harvard.

In number theory he deals in particular with the Tamagawa number conjecture by Spencer Bloch and Kazuya Kato , Iwasawa theory , the Stark conjectures (by Harold Stark ), arithmetic geometry (e.g. Epsilon constants and De Rham structure -Invariants of arithmetic schemes with finite group effects), algebraic K-theory and homological algebra.

In 1999 he received the Berwick Prize and in 2005 he was a Leverhulme Fellow.

Fonts

  • On derivatives of Artin L-series , Inventiones Mathematicae, Volume 186, 2011, pp. 291-371.
  • with K.-F. Lai, KS Tan On congruences between derivatives of geometric L-functions , Inventiones Mathematicae, Volume 184, 2011, pp. 221-256.
  • Congruences between derivatives of abelian L-functions at s = 0 , Inventiones Mathematicae, Volume 169, 2007, pp. 451-499.
  • with C. Greither On the equivariant Tamagawa number conjecture for Tate motives , Inventiones Mathematicae, Volume 153, 2003, pp. 303-359.
  • with Matthias Flach Tamagawa numbers for motives with (non-commutative) coefficients , Documenta Math., Volume 6, 2001, pp. 501-570.
  • with Otmar Venjakob : On descent theory and main conjectures in non-commutative Iwasawa theory, Journal of the Institute of Mathematics of Jussieu, Volume 10, 2011, pp. 59–118
  • Edited by C. Popescu, J. Sands, D. Solomon Stark's Conjectures: Recent Work and New Directions , Contemporary Mathematics, Volume 358, 2004 (Baltimore Conference 2002)
  • Editor with Kevin Buzzard , Jan Nekovář L-functions and Galois representations , London Mathematical Society Lecture Note Series 320, Cambridge University Press 2007

Web links

Individual evidence

  1. ↑ David Burns in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Burns, David
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH 1963