Number theory and combinatorics

  • United Kingdom

Organization profile

Organisation profile

Commonly referred to as the queen of mathematics, number theory is an ancient branch of pure mathematics that deals with properties of the integers. Bringing together tools from analysis, geometry and algebra, the work that takes place in Bristol centres largely upon Diophantine equations and prime numbers.

Combinatorics is the study of discrete structures, which are as ubiquitous in mathematics as they are in our everyday lives. They are studied for their intrinsic beauty as well as their many important practical applications, for example to networking, optimisation, and statistical physics to name just a few. Moreover, problems of a combinatorial nature arise in many areas of pure mathematics, notably in group theory, probability, topology and number theory.

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    No photo of Tim Dokchitser
    No photo of Misha Rudnev

    Research Output

    Tate module and bad reduction

    Dokchitser, T., Dokchitser, V. & Morgan, A. J., 17 Feb 2020, (Accepted/In press) In : Proceedings of the AMS. 13 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access

    A converse theorem without root numbers

    Booker, A., 21 May 2019, In : Mathematika. 65, 4, p. 862-873 12 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
  • 111 Downloads (Pure)

    An Energy Bound in the Affine Group

    Petridis, G., Roche-Newton, O., Rudnev, M. & Warren, A., 2019, (Submitted) In : SUBMITTED.

    Research output: Contribution to journalArticle (Academic Journal)


    Detecting squarefree numbers

    Booker, A. R.


    Project: Research

    L-functions and modular forms

    Keating, J. P. & Booker, A. R.


    Project: Research

    Consolidated EPSRC support for Durham symposia.

    Browning, T. D.


    Project: Research

    Student theses

    Local Analysis of Whittaker New Vectors and Global Applications

    Author: Assing, E., 26 Jun 2019

    Supervisor: Booker, A. (Supervisor) & Saha, A. (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)



    Anne Bennett Prize

    Julia Wolf (Recipient), 2016

    Prize: National/international honour

    Levi L. Conant Prize

    Conrey, J B (Recipient), 2008

    Prize: Prizes, Medals, Awards and Grants

  • Activities

    Simons Institute for the Theory of Computing, Berkeley (External organisation)

    Julia Wolf (Chair)

    Jan 2017May 2017

    Activity: Membership typesMembership of external research organisation

    Discrete Analysis (Journal)

    Julia Wolf (Editor)

    2016 → …

    Activity: Publication peer-review and editorial work typesEditorial activity

    LMS Popular Lecture

    Julia Wolf (Speaker)


    Activity: Talk or presentation typesPublic talk, debate, discussion