Research output per year
Research output per year
Organisation 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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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.
Collaborations and top research areas from the last five years
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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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Professor Misha Rudnev
- School of Mathematics - Professor of Mathematics
- Number theory and combinatorics
- Pure Mathematics
Person: Academic , Member
Research output
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Character formula for conjugacy classes in a coset
Dokchitser, T. & Dokchitser, V., 3 Mar 2025, Arithmetic of L-Functions: Proceedings of an International Conference held at ICMAT, Madrid, May 2023. American Mathematical Society, p. 93-100 8 p. (EMS Series of Congress Reports).Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)
Open AccessFile -
Character formula for Weil representations in terms of Frobenius traces
Dokchitser, T. & Dokchitser, V., 3 Mar 2025, Arithmetic of L-Functions: Proceedings of an International Conference held at ICMAT, Madrid, May 2023. American Mathematical Society, p. 101-111 11 p. (EMS Series of Congress Reports).Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)
Open AccessFile -
Arithmetic of hyperelliptic curves over local fields
Dokchitser, T., Dokchitser, V., Maistret, C. & Morgan, A., 20 Feb 2022, (E-pub ahead of print) In: Mathematische Annalen. 385, p. 1213-1322Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access8 Citations (Scopus)
Projects
- 6 Finished
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Detecting squarefree numbers
Booker, A. R. (Principal Investigator)
1/07/13 → 1/07/15
Project: Research
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L-functions and modular forms
Keating, J. P. (Co-Principal Investigator) & Booker, A. R. (Principal Investigator)
1/06/13 → 30/09/19
Project: Research
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Consolidated EPSRC support for Durham symposia.
Browning, T. D. (Principal Investigator)
1/09/11 → 1/09/12
Project: Research
Student theses
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Additive structure in convex sets and related topics
Bradshaw, P. J. (Author), Rudnev, M. (Supervisor), 27 Sept 2022Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)
File -
Group actions in geometric and arithmetic combinatorics
Wheeler, J. W. E. (Author), Rudnev, M. (Supervisor), 25 Jan 2022Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)
File -
Local Analysis of Whittaker New Vectors and Global Applications
Assing, E. (Author), Booker, A. (Supervisor) & Saha, A. (Supervisor), 26 Jun 2019Student thesis: Doctoral Thesis › Doctor of Philosophy (PhD)
File
Prizes
Activities
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Simons Institute for the Theory of Computing, Berkeley (External organisation)
Wolf, J. (Chair)
Jan 2017 → May 2017Activity: Membership types › Membership of external research organisation
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Discrete Analysis (Journal)
Wolf, J. (Editor)
2016 → …Activity: Publication peer-review and editorial work types › Editorial activity
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LMS Popular Lecture
Wolf, J. (Speaker)
2016Activity: Talk or presentation types › Public talk, debate, discussion