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Professor David Burns

David BurnsTelephone: +44 020 7848 2863


Office: S4.18, Strand Building, Strand Campus

Title: Professor in Number Theory

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Before coming to King's, Professor Burns was both an undergraduate and graduate student, and then a Junior Research Fellow, at the University of Cambridge.

Since coming to King's, he has held Visiting Fellowships at several international research institutes as well as Visiting Professorships at a variety of institutions including the Universities of Bordeaux, Paris and Harvard.

He was awarded the Berwick Prize by the London Mathematical Society in 1999 and, more recently, a Leverhulme Fellowship in 2005 and a Supervisory Excellence Award by the Centre for Doctoral Studies of King's in 2008.

Research Interests

  • The Tamagawa Number Conjecture of Bloch and Kato (and its equivariant refinement).
  • Iwasawa Theory (including aspects of non-commutative Iwasawa Theory).
  • Stark's Conjecture (and various natural integral refinements of this conjecture).
  • Epsilon constants and de Rham structure invariants associated to arithmetic schemes with a finite group action.
  • Algebraic K-theory and homological algebra.

Selection of Publications

On derivatives of Artin L-series, Inventiones Math. 186 (2011) 291 -- 371.

On congruences between derivatives of geometric L-functions (with an appendix by D. Burns, K-F. Lai and K. S. Tan), Inventiones Math. 184 (2011) 221-256.

Congruences between derivatives of abelian L-functions at s=0, Inventiones Math. 169 (2007) 451-499.

On the equivariant Tamagawa number conjecture for Tate motives, (joint with C. Greither), Inventiones Math. 153 (2003) 303-359.

Tamagawa numbers for motives with (non-commutative) coefficients, (joint with M. Flach), Documenta Math. 6 (2001) 501-570.

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