Research Output per year

# 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.

## Fingerprint Dive into the research topics where Number theory and combinatorics is active. These topic labels come from the works of this organisation's members. Together they form a unique fingerprint.

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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Profiles

## Professor J B Conrey

- School of Mathematics - Professor of Number Theory
- Pure Mathematics
- Number theory and combinatorics

Person: Academic , Member

## Professor Tim Dokchitser

- School of Mathematics - Heilbronn Chair in Algebraic/Arithmetic Geometry
- Pure Mathematics
- Number theory and combinatorics

Person: Academic , Member

## Dr Misha Rudnev

- School of Mathematics - Senior Lecturer in Pure Mathematics
- Number theory and combinatorics
- Pure Mathematics

Person: Academic , Member

## 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 journal › Article (Academic Journal)

## A converse theorem without root numbers

Booker, A., 21 May 2019, In : Mathematika. 65, 4, p. 862-873 12 p.Research output: Contribution to journal › Article (Academic Journal)

## An Energy Bound in the Affine Group

Petridis, G., Roche-Newton, O., Rudnev, M. & Warren, A., 2019, (Submitted) In : SUBMITTED.Research output: Contribution to journal › Article (Academic Journal)

## Projects

- 6 Finished

## Student theses

## Local Analysis of Whittaker New Vectors and Global Applications

Author: Assing, E., 26 Jun 2019Supervisor: Booker, A. (Supervisor) & Saha, A. (Supervisor)

Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)

## Prizes

## Activities

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

Julia Wolf (Chair)

Activity: Membership types › Membership of external research organisation

## Discrete Analysis (Journal)

Julia Wolf (Editor)

Activity: Publication peer-review and editorial work types › Editorial activity

## LMS Popular Lecture

Julia Wolf (Speaker)

Activity: Talk or presentation types › Public talk, debate, discussion