King's College London has a strong tradition of research in number theory, and this continues today across a range of topics in algebraic and analytic number theory. Staff are at the forefront of research in areas including automorphic forms and the Langlands Programme, values of L-functions, Diophantine geometry, and connections to topics in physics such as quantum chaos.
Staff are involved in numerous international collaborations and regularly hosts international visitors. The number theory group currently has seven permanent members and 13 PhD students. It participates in several seminar series as well as the London School of Geometry and Number Theory.
Publications
Activities
P-adic Langlands Programme workshop 13-17 May 2019
Workshop on the p-adic Langlands Programme and Related Topics, was held 13-17 May 2019. The event attracted more than 80 participants, and was funded by EPSRC and ERC.
UK-Japan Winter School 2018 on Number Theory
UK-Japan Winter School 2018 on Number Theory, 8 - 11 January 2018. The UK-Japan Winter Schools in mathematics have been held since 1999. This year's event was on the topic of Galois representations and automorphic forms.
Automorphic Forms: Theory and Computation
Automorphic Forms: Theory and Computation, 5 - 9 September 2016, workshop on theoretical and computational problems in automorphic forms and Galois representations, funded by EPSRC.
Random Waves in London
Random Waves in London, 3 - 5 May, 2016, workshop on inter-related topics in probability, spectral problems and number theory, funded by ERC.
Iwasawa 2015
Iwasawa 2015, 13 - 17 July 2015, 6th in a series of international conferences on Iwasawa Theory.
Conference on the Representation Theory of p-adic groups
Conference on the Representation Theory of p-adic groups, 6 - 8 June 2007, a 3 day meeting on the occasion of Prof Colin Bushnell's 60th birthday.
Topics in Arithmetic Geometry
Topics in Arithmetic Geometry, 28 August -1 September 2006, LMS/EPSRC Short Course.
Topics in Algebraic Number Theory
Topics in Algebraic Number Theory, 2 - 6 September 2002, LMS/EPSRC Short Course.
Seminars
- London Number Theory Seminar: a joint seminar of the number theory groups at King's College, University College and Imperial College; meets every Wednesday during term.
- London Number Theory Study Groups: weekly talks on topics of general interest or current progress; meetings every Wednesday before the seminar.
- London-Paris Number Theory Seminar: meets twice per year, once in London and once in Paris.
Publications
Activities
P-adic Langlands Programme workshop 13-17 May 2019
Workshop on the p-adic Langlands Programme and Related Topics, was held 13-17 May 2019. The event attracted more than 80 participants, and was funded by EPSRC and ERC.
UK-Japan Winter School 2018 on Number Theory
UK-Japan Winter School 2018 on Number Theory, 8 - 11 January 2018. The UK-Japan Winter Schools in mathematics have been held since 1999. This year's event was on the topic of Galois representations and automorphic forms.
Automorphic Forms: Theory and Computation
Automorphic Forms: Theory and Computation, 5 - 9 September 2016, workshop on theoretical and computational problems in automorphic forms and Galois representations, funded by EPSRC.
Random Waves in London
Random Waves in London, 3 - 5 May, 2016, workshop on inter-related topics in probability, spectral problems and number theory, funded by ERC.
Iwasawa 2015
Iwasawa 2015, 13 - 17 July 2015, 6th in a series of international conferences on Iwasawa Theory.
Conference on the Representation Theory of p-adic groups
Conference on the Representation Theory of p-adic groups, 6 - 8 June 2007, a 3 day meeting on the occasion of Prof Colin Bushnell's 60th birthday.
Topics in Arithmetic Geometry
Topics in Arithmetic Geometry, 28 August -1 September 2006, LMS/EPSRC Short Course.
Topics in Algebraic Number Theory
Topics in Algebraic Number Theory, 2 - 6 September 2002, LMS/EPSRC Short Course.
Seminars
- London Number Theory Seminar: a joint seminar of the number theory groups at King's College, University College and Imperial College; meets every Wednesday during term.
- London Number Theory Study Groups: weekly talks on topics of general interest or current progress; meetings every Wednesday before the seminar.
- London-Paris Number Theory Seminar: meets twice per year, once in London and once in Paris.
Group lead
Fred Diamond
Professor of Number Theory