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We have 88 number theory PhD Projects, Programmes & Scholarships

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number theory PhD Projects, Programmes & Scholarships

We have 88 number theory PhD Projects, Programmes & Scholarships

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13 PhD positions in Cohomology, Geometry, Explicit Number Theory (COGENT – Doctoral Network)

Durham University
COGENT is a European Doctoral Network, funded by the European Commission (EC) as part of the MSCA programme and by UK Research and Innovation (UKRI). Read more
 Funded PhD Programme (Students Worldwide)  Marie Curie Doctoral Network
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13 PhD positions in Cohomology, Geometry, Explicit Number Theory (COGENT – Doctoral Network)

Technical University of Braunschweig
COGENT is a European Doctoral Network, funded by the European Commission (EC) as part of the MSCA programme and by UK Research and Innovation (UKRI). Read more
 Funded PhD Programme (Students Worldwide)  Marie Curie Doctoral Network
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13 PhD positions in Cohomology, Geometry, Explicit Number Theory (COGENT – Doctoral Network)

Universite Grenoble Alpes
COGENT is a European Doctoral Network, funded by the European Commission (EC) as part of the MSCA programme and by UK Research and Innovation (UKRI). Read more
 Funded PhD Programme (Students Worldwide)  Marie Curie Doctoral Network
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13 PhD positions in Cohomology, Geometry, Explicit Number Theory (COGENT – Doctoral Network)

University of Bordeaux
COGENT is a European Doctoral Network, funded by the European Commission (EC) as part of the MSCA programme and by UK Research and Innovation (UKRI). Read more
 Funded PhD Programme (Students Worldwide)  Marie Curie Doctoral Network
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13 PhD positions in Cohomology, Geometry, Explicit Number Theory (COGENT – Doctoral Network)

University of Galway
COGENT is a European Doctoral Network, funded by the European Commission (EC) as part of the MSCA programme and by UK Research and Innovation (UKRI). Read more
 Funded PhD Programme (Students Worldwide)  Marie Curie Doctoral Network
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13 PhD positions in Cohomology, Geometry, Explicit Number Theory (COGENT – Doctoral Network)

University of Sheffield
COGENT is a European Doctoral Network, funded by the European Commission (EC) as part of the MSCA programme and by UK Research and Innovation (UKRI). Read more
 Funded PhD Programme (Students Worldwide)  Marie Curie Doctoral Network
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13 PhD positions in Cohomology, Geometry, Explicit Number Theory (COGENT – Doctoral Network)

Vrije Universiteit Amsterdam
COGENT is a European Doctoral Network, funded by the European Commission (EC) as part of the MSCA programme and by UK Research and Innovation (UKRI). Read more
 Funded PhD Programme (Students Worldwide)  Marie Curie Doctoral Network
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Quantum numbers and applications (Ref: MA/AV–SF1/2025)

Loughborough University
Department of Mathematical Sciences
Recently Morier-Genoud and Ovsienko introduced the notion of q-numbers as certain quantisation of real numbers. Remarkably these numbers turned out to be related to many areas of mathematics. Read more
 Supervisors: Prof A Veselov, Dr B Winn
 31 July 2025  PhD Research Project  Self-Funded PhD Students Only
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Arithmetic and Analysis

Edinburgh Napier University
School of Computing, Engineering & the Built Environment
This project has multiple options in and between Fourier analysis and analytic number theory. Read more
 Supervisor: Dr KH Hughes
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Computability and Constrained Equations in Free Semigroups (Ref: CO/JD-SF2/2025)

Loughborough University
Department of Computer Science
Given a finite set A, and an associative binary operation o, a semigroup is a set which contains A and is closed under o. If |A| n, the free semigroup A+ is a particular example of a semigroup. Read more
 Supervisor: Dr J Day
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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PHD MATHEMATICAL SCIENCES

Xi’an Jiaotong-Liverpool University
School of Mathematics and Physics
The PhD in Mathematical Sciences aims to provide high calibre education and advanced training in mathematics. It will take advantage of Xi'an Jiaotong-Liverpool University's international and vibrant research environment to prepare graduates for their research careers. Read more
 Funded PhD Programme (Students Worldwide)  China PhD Programme
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Groups, subgroups and boundedness

University of Aberdeen
School of Natural and Computing Sciences
These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Read more
 Supervisors: Prof B Martin, Dr E Meir
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Science Research Opportunities at the University of East Anglia

University of East Anglia
UEA is a top tier, research-led university committed to making a substantial impact on global challenges facing society for over 50 years. Read more
 Funded PhD Programme (Students Worldwide)  PhD Opportunities
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Beyond the zeta zeroes

University of Surrey
School of Mathematics and Physics
This project is on the dynamical zeta function, whose role is to count periodic orbits of a dynamical system or a flow. In 1859 Riemann introduced his now famous zeta function to study properties of the prime numbers, which plays an important role in analytic number theory. Read more
 Supervisors: Dr P Vytnova, Dr J Bevan
 23 April 2025  PhD Research Project  Funded PhD Project (Students Worldwide)
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Cohomology of arithmetic lattices in GL(2) over the Hamiltonians

University of Sheffield
School of Mathematical and Physical Sciences
Title. Cohomology of arithmetic lattices in GL(2) over the Hamiltonians. Description. Using the Voronoi approach, the goal is to develop a computer program that will compute the cohomology of arithmetic groups for GL(2) over a definite rational quaternion algebras together with Hecke action. Read more
 Supervisor: Dr M H Sengun
 Year round applications  PhD Research Project  Funded PhD Project (Students Worldwide)
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