King's College London

Research portal

Professor David Burns

  1. Adelic Euler systems for $\GG_m$

    Daoud, A. & Burns, D., 11 Jan 2022, (Accepted/In press) In: TOHOKU MATHEMATICAL JOURNAL.

    Research output: Contribution to journalArticlepeer-review

  2. On Higher Special Elements of p-Adic Representations

    Burns, D., Sano, T. & Tsoi, K. W., 1 Oct 2021, In: International Mathematics Research Notices. 2021, 20, p. 15337-15411 75 p.

    Research output: Contribution to journalArticlepeer-review

  3. On the Theory of Higher Rank Euler, Kolyvagin and Stark Systems

    Burns, D. & Sano, T., 1 Jul 2021, In: International Mathematics Research Notices. 2021, 13, p. 10118-10206 89 p.

    Research output: Contribution to journalArticlepeer-review

  4. Hyperbolic tessellations and generators of K3 for imaginary quadratic fields

    Burns, D., de Jeu, R., Gangl, H., Rahm, A. D. & Yasaki, D., 24 May 2021, (E-pub ahead of print) In: Forum of Mathematics, Sigma. 9, p. 1-47 47 p., e40.

    Research output: Contribution to journalArticlepeer-review

  5. On circular distributions and a conjecture of Coleman

    Burns, D. & Seo, S., Mar 2021, In: Israel Journal Of Mathematics. 241, 1, p. 343-393 51 p.

    Research output: Contribution to journalArticlepeer-review

  6. On the galois structure of arithmetic cohomology i: Compactly supported p-adic cohomology

    Burns, D., 1 Sep 2020, In: Nagoya Mathematical Journal. 239, p. 294-321 28 p.

    Research output: Contribution to journalArticlepeer-review

  7. On refined metric and hermitian structures in arithmetic I: Galois-Gauss sums and weak ramification

    Bley, W., Burns, D. & Hahn, C., 2020, In: Annals of K-Theory. 5, 1, p. 79-140 62 p.

    Research output: Contribution to journalArticlepeer-review

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

    Burns, D., 11 Oct 2018, (E-pub ahead of print) In: Journal fur die Reine und Angewandte Mathematik.

    Research output: Contribution to journalArticlepeer-review

  9. On Selmer groups and refined Stark conjectures

    Burns, D. & Livingstone Boomla, A., 27 Jul 2018, (E-pub ahead of print) In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. 18 p.

    Research output: Contribution to journalArticlepeer-review

  10. On the Galois structure of arithmetic cohomology, III: Selmer groups of critical motives

    Burns, D., 26 Jun 2018, (E-pub ahead of print) In: Kyoto Journal of Mathematics. 58, 3, p. 671-693 23 p.

    Research output: Contribution to journalArticlepeer-review

  11. On a refinement of the Birch and Swinnerton-Dyer Conjecture in positive characteristic

    Kakde, M. R., Burns, D. J. & Kim, W., 9 May 2018, (Unpublished).

    Research output: Working paper/PreprintPreprint

  12. On the Galois structure of arithmetic cohomology II: ray class groups

    Burns, D. & Kumon, A., 18 Apr 2018, (E-pub ahead of print) In: Journal of the Mathematical Society of Japan. 70, 2, p. 481-517 37 p.

    Research output: Contribution to journalArticlepeer-review

  13. On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil L -functions

    Burns, D., Macias Castillo, D. & Wuthrich, C., 1 Jan 2018, In: Journal fur die Reine und Angewandte Mathematik. 2018, 734, p. 187-228 42 p.

    Research output: Contribution to journalArticlepeer-review

  14. On p-adic L-series, p-adic cohomology and class field theory

    Burns, D. & Castillo, D. M., 1 Nov 2017, In: Journal fur die Reine und Angewandte Mathematik. 2017, 732, p. 55-83 29 p.

    Research output: Contribution to journalArticlepeer-review

  15. Iwasawa theory and zeta elements for G_m

    Burns, D. J., Kurihara, M. & Sano, T., 7 Sep 2017, In: Algebra and Number Theory. 38 p.

    Research output: Contribution to journalArticlepeer-review

  16. On Iwasawa theory, zeta elements for Gm, and the equivariant Tamagawa number conjecture

    Burns, D., Kurihara, M. & Sano, T., 7 Sep 2017, In: Algebra and Number Theory. 11, 7, p. 1527-1571 45 p.

    Research output: Contribution to journalArticlepeer-review

  17. On zeta elements for Gm

    Burns, D., Kurihara, M. & Sano, T., 4 Mar 2016, In: DOCUMENTA MATHEMATICA. 21, 2016, p. 555-626 72 p.

    Research output: Contribution to journalArticlepeer-review

  18. On the galois structure of selmer groups

    Burns, D., Castillo, D. M. I. & Wuthrich, C., 25 Feb 2015, (E-pub ahead of print) In: International Mathematics Research Notices. 2015, 22, p. 11909-11933 25 p.

    Research output: Contribution to journalArticlepeer-review

  19. Organizing Matrices for Arithmetic Complexes

    Burns, D. & Macias Castillo, D., 2014, In: International Mathematics Research Notices. 2014, 10, p. 2814-2883 70 p.

    Research output: Contribution to journalArticlepeer-review

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

    Burns, D., Mar 2013, (E-pub ahead of print) In: Journal fur die Reine und Angewandte Mathematik. N/A, N/A, p. N/A 55 p., N/A.

    Research output: Contribution to journalArticlepeer-review

  21. Annihilating Selmer modules

    Barrett, J. & Burns, D., Feb 2013, In: Journal fur die Reine und Angewandte Mathematik. 2013, 675, p. 191-222 32 p.

    Research output: Contribution to journalArticlepeer-review

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

    Burns, D., de Jeu, R. & Gangl, H., 20 Jun 2012, In: ADVANCES IN MATHEMATICS. 230, 3, p. 1502-1529 28 p.

    Research output: Contribution to journalArticlepeer-review

  23. On Artin formalism for the Conjecture of Bloch and Kato

    Burns, D., 1 Jan 2012, In: MATHEMATICAL RESEARCH LETTERS. 19, 5, p. 1155-1169 15 p.

    Research output: Contribution to journalArticlepeer-review

  24. On derivatives of Artin L-series

    Burns, D., Nov 2011, In: INVENTIONES MATHEMATICAE. 186, 2, p. 291-371 81 p.

    Research output: Contribution to journalArticlepeer-review

  25. Congruences between derivatives of geometric L-functions

    Burns, D., May 2011, In: INVENTIONES MATHEMATICAE. 184, 2, p. 221 - 256 36 p.

    Research output: Contribution to journalArticlepeer-review

  26. A non-abelian Stickelberger theorem

    Burns, D. & Johnston, H., Jan 2011, In: COMPOSITIO MATHEMATICA. 147, 1, p. 35 - 55 21 p.

    Research output: Contribution to journalArticlepeer-review

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

    Burns, D. & Venjakob, O., Jan 2011, In: Journal Of The Institute Of Mathematics Of Jussieu. 10, 1, p. 59 - 118 60 p.

    Research output: Contribution to journalArticlepeer-review

  28. On Leading Terms and Values of Equivariant Motivic L-functions

    Burns, D., Jan 2010, In: Pure And Applied Mathematics Quarterly. 6, 1, p. 83 - 172 90 p.

    Research output: Contribution to journalArticlepeer-review

  29. On Equivariant Dedekind Zeta-functions at s=1

    Breuning, M. & Burns, D., 2010, In: DOCUMENTA MATHEMATICA. Extra Volume: Andrei A. Suslin's Sixtieth Birthday, p. 119 - 146 28 p.

    Research output: Contribution to journalArticlepeer-review

  30. Algebraic p-Adic L-Functions in Non-Commutative Iwasawa Theory

    Burns, D., Mar 2009, In: Publications Of The Research Institute For Mathematical Sciences. 45, 1, p. 75 - 87 13 p.

    Research output: Contribution to journalConference paper

  31. ON REFINED STARK CONJECTURES IN THE NON-ABELIAN CASE

    Burns, D., Sep 2008, In: MATHEMATICAL RESEARCH LETTERS. 15, 5-6, p. 841 - 856 16 p.

    Research output: Contribution to journalArticlepeer-review

  32. Perfecting the nearly perfect

    Burns, D., 2008, In: Pure And Applied Mathematics Quarterly. 4, 4, p. 1041 - 1058 18 p.

    Research output: Contribution to journalArticlepeer-review

  33. On the Galois cohomology of ideal class groups

    Burns, D. & Seo, S., Dec 2007, In: ARCHIV DER MATHEMATIK. 89, 6, p. 536 - 540 5 p.

    Research output: Contribution to journalArticlepeer-review

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

    Breuning, M. & Burns, D., Nov 2007, In: COMPOSITIO MATHEMATICA. 143, 6, p. 1427 - 1464 38 p.

    Research output: Contribution to journalArticlepeer-review

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

    Burns, D., Sep 2007, In: INVENTIONES MATHEMATICAE. 169, 3, p. 451 - 499 49 p.

    Research output: Contribution to journalArticlepeer-review

  36. Explicit units and the equivariant Tamagawa number conjecture, II

    Burns, D. & Hayward, A., 2007, In: COMMENTARII MATHEMATICI HELVETICI. 82, 3, p. 477 - 497 21 p.

    Research output: Contribution to journalArticlepeer-review

  37. On twisted forms and relative algebraic K-theory

    Agboola, A. & Burns, D., Jan 2006, In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. 92, 1, p. 1 - 28 28 p.

    Research output: Contribution to journalArticlepeer-review

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

    Burns, D. & Venjakob, O., 2006, In: DOCUMENTA MATHEMATICA. 01, p. 165 - 209 45 p.

    Research output: Contribution to journalArticlepeer-review

  39. Additivity of Euler characteristics in relative algebraic K-groups

    Breuning, M. & Burns, D. J., 2005, In: Homology, Homotopy and Applications. 7, 3, p. 11 - 36 26 p.

    Research output: Contribution to journalArticlepeer-review

  40. On the refined class number formula of Gross

    Burns, D. & Lee, J. G., Aug 2004, In: Journal of Number Theory. 107, 2, p. 282 - 286 5 p.

    Research output: Contribution to journalArticlepeer-review

  41. Refined and l-adic Euler characteristics of nearly perfect complexes

    Burns, D., Kock, B. & Snaith, V., 1 Feb 2004, In: Journal of Algebra. 272, 1, p. 247 - 272 26 p.

    Research output: Contribution to journalArticlepeer-review

  42. Equivariant Whitehead torsion and refined Euler characteristics

    Burns, D., 2004, In: CRM Proceedings & Lecture Notes. 36, p. 35 - 59 25 p.

    Research output: Contribution to journalArticlepeer-review

  43. On the values of equivariant zeta functions of curves over finite fields

    Burns, D., 2004, In: DOCUMENTA MATHEMATICA. 9, 1, p. 357 - 399 43 p.

    Research output: Contribution to journalArticlepeer-review

  44. Equivariant epsilon constants, discriminants and etale cohomology

    Bley, W. & Burns, D., Nov 2003, In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. 87, 3, p. 545 - 590 46 p.

    Research output: Contribution to journalArticlepeer-review

  45. Tamagawa numbers for motives with (noncommutative) coefficients, II

    Burns, D. & Flach, M., Jun 2003, In: AMERICAN JOURNAL OF MATHEMATICS. 125, 3, p. 475 - 512 38 p.

    Research output: Contribution to journalArticlepeer-review

  46. Equivariant Tamagawa numbers and refined abelian stark conjectures

    Burns, D., 2003, In: Journal of Mathematical Science, University of Tokyo. 10, 2, p. 225-59 35 p.

    Research output: Contribution to journalArticlepeer-review

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

    Burns, D. & Greither, C., 2003, In: DOCUMENTA MATHEMATICA. n/a, p. 157 - 185 29 p.

    Research output: Contribution to journalArticlepeer-review

  48. On the equivariant Tamagawa number conjecture for Tate motives

    Burns, D. & Greither, C., 2003, In: INVENTIONES MATHEMATICAE. 153, 2, p. 303 - 359 57 p.

    Research output: Contribution to journalArticlepeer-review

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