Professor David Burns - publications and preprints since 2000

Edited volumes

L-functions and Galois representations

Proceedings of the 2004 Durham Symposium, London Math. Soc. Lecture Note Series 320, Cambridge University Press, 2007. 576 pp.

Co-edited with K. Buzzard and J. Nekovar.

Stark's Conjectures: Recent Work and New Directions

Proceedings of a conference held in Baltimore in Aug. 2002, Contemp. Math. 358, American Math. Soc. (2004). 221 pp.

Co-edited with C. Popescu, J. Sands and D. Solomon.

Research articles

On derivatives of p-adic L-series at s =0

D. Burns

Download as PDF.

Organising matrices for arithmetic complexes

D. Burns and D. Macias Castillo

Download as PDF.

On main conjectures of geometric Iwasawa theory and related conjectures

D. Burns

Download as PDF.

On special elements in higher algebraic K-theory and the Lichtenbaum-Gross Conjecture

D. Burns, R. de Jeu and H. Gangl

Submitted. Download as PDF.

On Artin formalism for the conjecture of Bloch and Kato

D. Burns

Submitted. Download as PDF.

On main conjectures in non-commutative Iwasawa theory and related conjectures

D. Burns

Submitted. Download as PDF.

Annihilating Selmer Modules

J. Barrett and D. Burns

Accepted to appear in J. Reine Angew. Math. Download as PDF.

On derivatives of Artin L-series

D. Burns

2011 -- Invent. math. 186 291 -- 371. Download as PDF.

On geometric main conjectures

D. Burns, K. F. Lai and K-S. Tan

2011 -- Appendix to Congruences between derivatives of geometric L-functions by D. Burns; Invent. math. 184 221--256.

Congruences between derivatives of geometric L-functions

D. Burns

2011 -- Invent. math. 184 221--256. Download as PDF.

A non-abelian Stickelberger theorem

D. Burns and H. Johnston

2011 -- Compositio Math. 147 35-55. Download as PDF.

On descent theory and main conjectures in non-commutative Iwasawa theory

D. Burns and O. Venjakob

2011 -- J. Inst. Math. Jussieu 10 59-118. Download as DVI or as PS.

On Equivariant Dedekind Zeta-functions at s=1

M. Breuning and D. Burns

2010 -- Documenta Math., Extra Volume: Andrei A. Suslin's Sixtieth Birthday, 119-146. Download as PDF.

Leading terms and values of equivariant motivic L-functions.

D. Burns

2010 -- Pure App. Math. Q. 6 83-172 (John Tate Special Issue, Part II). Download as PDF.

Algebraic p-adic L-functions in non-commutative Iwasawa theory

D. Burns

2009 -- Publ. RIMS Kyoto 45 75-88 (Proceedings of special semester on Arithmetic Geometry, Fall, 2006). Download as PS.

On refined Stark conjectures in the non-abelian case

D. Burns

2008 -- Math. Res. Lett. 15 841-856. Download as PDF or as PS.

Perfecting the nearly perfect.

D. Burns

2008 -- Pure App. Math. Q. 4 1041-1058 (Jean-Pierre Serre Special Issue, Part I). Download as DVI.

On the Galois cohomology of ideal class groups

D. Burns and S. Seo

2007 -- Arch. Math. 89 536--540. Download as PS.

Leading terms of Artin L-functions at s= 0 and s = 1.

M. Breuning and D. Burns

2007 -- Compositio Math. 143 1427--1464. Download as PDF.

Congruences between derivatives of abelian L-functions at s=0.

D. Burns

2007 -- Invent. math. 169 451-499. Download as PDF.

Explicit Units and the Equivariant Tamagawa Number Conjecture, II.

D. Burns and A. Hayward

2007 -- Comm. Math. Helv. 82 477-497. Download as DVI or Postscript.

On the leading terms of Zeta isomorphisms and p-adic L-functions in non-commutative Iwasawa theory

D. Burns and O. Venjakob

2006 -- Documenta Math., Extra Volume: John H. Coates' Sixtieth Birthday, 165-209. Download as PDF.

On the equivariant Tamagawa number conjecture for Tate motives, II

D. Burns and M. Flach

2006 -- Documenta Math., Extra Volume: John H. Coates' Sixtieth Birthday, 133-163. Download as PS.

Twisted forms and relative K-theory

A. Agboola and D. Burns

2006 -- Proc. London Math. Soc. 92 1-28. Download as DVI or Postscript.

Additivity of Euler characteristics in relative algebraic K-groups.

M. Breuning and D. Burns

2005 -- Homology, Homotopy and Applications. 7 No. 3 11-36.

On the values of equivariant Zeta functions of curves over finite fields.

D. Burns

2004 -- Documenta Math. 9 357-399.

On the refined class number formula of Gross.

D. Burns and J. Lee

2004 -- J. Number Theory 107 282-286.

Refined and l-adic Euler Characteristics of nearly-perfect complexes

D. Burns, B. Köck and V. Snaith

2004 -- J. Algebra 272 247-272.

Equivariant Whitehead torsion and refined Euler characteristics

D. Burns

2004 -- CRM Proceedings and Lecture Notes 36 35-59.

Equivariant Weierstrass preparation and values of L-functions at negative integers

D. Burns and C. Greither

2003 -- Documenta Math., Extra Volume: Kazuya Kato's Fiftieth Birthday, 157-185.

Equivariant epsilon constants, discriminants and etale cohomology

W. Bley and D. Burns

2003 -- Proc. London Math. Soc. 87 545-590.

Equivariant Tamagawa numbers and refined abelian Stark conjectures

D. Burns

2003 -- J. Math. Soc. Univ. Tokyo 10 225-259.

On the equivariant Tamagawa number conjecture for Tate motives

D. Burns and C. Greither

2003 -- Invent. math. 153 303-359.

Tamagawa numbers for motives with (non-commutative) coefficients II

D. Burns and M. Flach

2003 -- Amer. J. Math. 125 475-512.

Étale cohomology and a generalisation of Hilbert's Theorem 132

W. Bley and D. Burns

2002 -- Math. Zeit. 239 1-25.

Grothendieck groups of bundles on varieties over finite fields

A. Agboola and D. Burns

2001 -- K Theory 23 251-303.

Explicit Units and the Equivariant Tamagawa Number Conjecture

W. Bley and D. Burns

2001 -- Amer. J. Math. 123 931-949.

Tamagawa numbers for motives with (non-commutative) coefficients

D. Burns and M. Flach

2001 -- Documenta Math. 6 501-570.

Equivariant Tamagawa Numbers, Fitting ideals and Iwasawa theory

W. Bley and D. Burns

2001 -- Compositio Math. 126 213-247.

Equivariant Tamagawa Numbers and Galois module theory

D. Burns

2001 -- Compositio Math. 129 203-237.

On the equivariant structure of ideals in abelian extensions of local fields (with an Appendix by W. Bley)

D. Burns

2000 -- Comm. Math. Helv. 75 1-44.

Mathematics Department