Research output per year
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.
Network
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Profiles
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Professor Tim Dokchitser
- School of Mathematics - Heilbronn Chair in Algebraic/Arithmetic Geometry
- Pure Mathematics
- Number theory and combinatorics
Person: Academic , Member
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Dr Misha Rudnev
- School of Mathematics - Associate Professor in Mathematics
- Number theory and combinatorics
- Pure Mathematics
Person: Academic , Member
Research output
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Arithmetic of hyperelliptic curves over local fields
Maistret, C., Dokchitser, T., Dokchitser, V. & Morgan, A., 15 Nov 2022, (Accepted/In press) In: Mathematische Annalen.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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Tame torsion and the tame inverse Galois problem
Bisatt, M. & Dokchitser, T., 20 Mar 2021, (Accepted/In press) In: Mathematische Annalen. 381, p. 1439-1453Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access -
An Energy Bound in the Affine Group
Petridis, G., Roche-Newton, O., Rudnev, M. & Warren, A., 3 Jun 2020, In: International Mathematics Research Notices. 0, rnaa130.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access
Projects
- 6 Finished
Student theses
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Additive structure in convex sets and related topics
Author: Bradshaw, P. J., 27 Sept 2022Supervisor: Rudnev, M. (Supervisor)
Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)
File -
Group actions in geometric and arithmetic combinatorics
Author: Wheeler, J. W. E., 25 Jan 2022Supervisor: Rudnev, M. (Supervisor)
Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)
File -
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)
File
Prizes
Activities
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Simons Institute for the Theory of Computing, Berkeley (External organisation)
Julia Wolf (Chair)
Jan 2017 → May 2017Activity: Membership types › Membership of external research organisation
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LMS Popular Lecture
Julia Wolf (Speaker)
2016Activity: Talk or presentation types › Public talk, debate, discussion
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Discrete Analysis (Journal)
Julia Wolf (Editor)
2016 → …Activity: Publication peer-review and editorial work types › Editorial activity