Professor David Burns Academics Supervisors Professor of Number Theory Research subject areas Mathematics Contact details +44 020 7848 2863 david.burns@kcl.ac.uk
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 journal › Article › peer-review. DOIs: https://doi.org/10.1093/imrn/rnz103 Adelic Euler systems for $\GG_m$ Daoud, A. & Burns, D., 11 Jan 2022, (Accepted/In press) In: TOHOKU MATHEMATICAL JOURNAL. Research output: Contribution to journal › Article › peer-review 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 journal › Article › peer-review. DOIs: https://doi.org/10.1093/imrn/rnz378 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 journal › Article › peer-review. DOIs: https://doi.org/10.1017/fms.2021.9 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 journal › Article › peer-review. DOIs: https://doi.org/10.2140/akt.2020.5.79 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 journal › Article › peer-review. DOIs: https://doi.org/10.1007/s11856-021-2098-0 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 journal › Article › peer-review. DOIs: https://doi.org/10.1017/nmj.2018.41 Motivic L-functions and Galois module structures Burns, D. & Flach, M., May 1996, In: Mathematische Annalen. 305, 1, p. 65-102 38 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1007/BF01444212 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 journal › Article › peer-review. DOIs: https://doi.org/10.1515/crelle-2014-0139 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 journal › Article › peer-review. DOIs: https://doi.org/10.1215/21562261-2017-0034 View all publications