Overview

It offers a wide range of research projects in different aspects of number theory, geometry and topology.

The Geometry and Number Theory programme at University College London (UCL) is aimed at graduate students in mathematics or related sciences. Applicants will have analytical skills, and have formed a strong interest in pursuing pure mathematical research.

This training is designed to encourage the development of an original approach to problem solving that is attractive to both the academic and industrial sector. Our industrial partners have also had input on some aspects of our programme to reflect their industry requirements.

The foundation of your career

Many students go on to careers in finance, innovation, technology and research and development. Many others proceed to postdoctoral research and academic careers. The LSGNT CDT has several industrial partners including Digital Catapult, The Heilbronn Institute for Mathematical Research, the Bank of England, Morgan Stanley and G-Research.

Employability

The LSGNT CDT has now had three intakes of students who have graduated from our programme. All have found employment after attaining their 4 year research PhD with us. LSGNT Mathematics graduates have found positions in the academic field, at universities such as Princeton, Sorbonne Paris North, Max Planck Institute, Bonn, Leiden, Harvard, Institute for Advanced Studies, ETH Zurich etc.

Others have entered industry in sectors such as finance, technology startups and research and development. With companies such as Morgan Stanley, Eigen Technologies, Goldman Sachs, Lloyds, Credit Suisse, Quantica Capital and Huawei Technologies Research & Development (UK) Ltd.

Programme Structure

Research areas and structure

Geometry and Number Theory

Pure Mathematics

Research environment

In geometry, we cover the spectrum from algebraic geometry, complex geometry, symplectic geometry, through to differential and riemannian geometry, geometric analysis, including techniques from nonlinear elliptic and parabolic partial differential equations.

Subjects such as geometric group theory, knot theory, discrete systems and inverse problems are also represented.

Number theory is similarly broad, with researchers in both analytic and algebraic number theory, with specialists in (p-adic) Galois representations, modular and automorphic forms, arithmetic geometry, arithmetic aspects of spectral theory, multiplicative functions and additive combinatorics.

Key information

Duration

Full-time
- 48 months

Start dates & application deadlines

Starting 2024-09-25 00:00:00
- Apply before 2023-12-31 00:00:00

Language

English

IELTS

6.5

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TOEFL^® IBT

92

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Delivered

On Campus

Disciplines

Mathematics Applied Mathematics Financial Mathematics View 31 other PhDs in Applied Mathematics in United Kingdom

Academic requirements

We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.

English requirements

IELTS

6.5

Schedule an IELTS test!

TOEFL^® IBT

92

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Other requirements

General requirements

Applicants are expected to have completed at least a very good four-year degree in mathematics or a closely related discipline; in Europe this implies a Master’s degree for most applicants.

We also welcome applications from outstanding US bachelor students, for example.

Tuition Fee

To always see correct tuition fees

International

26200 GBP/year

Tuition Fee

Based on the tuition of 26200 GBP per year during 48 months.
National

5860 GBP/year

Tuition Fee

Based on the tuition of 5860 GBP per year during 48 months.

Living costs for London

1137 - 2157 GBP /month

Living costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

Funding

Studyportals Student Grant Deadline: 30 June 2020

Apply and be among one of the 20 students to win €1000.

Studyportals Student Grant Deadline: 30 June 2020

Apply and be among one of the 20 students to win €1000.

In order for us to give you accurate scholarship information, we ask that you please confirm a few details and create an account with us.

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Scholarships Information

Below you will find PhD's scholarship opportunities for Geometry and Number Theory.

Available Scholarships

You are eligible to apply for these scholarships but a selection process will still be applied by the provider.

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