Ph. D. On Campus

London School of Geometry and Number Theory

University College London (UCL)

48 months
23420 GBP/year
5690 GBP/year
Tuition fee
Apply date
Start date


The London School of Geometry and Number Theory (LSGNT) is an EPSRC-funded Centre for Doctoral Training (CDT) and is a joint venture between University College London (UCL), King's College London and Imperial College London. 


The London School of Geometry and Number Theory from University College London (UCL) offers a wide range of research projects in different aspects of number theory, geometry and topology.

Mathematics research at UCL is flourishing with significant funding from EPSRC, ERC, the Royal Society and industry. The department is a member of the UCL Institute of Origins, Centre for Inverse Problems, and CoMPLEX (Centre of Mathematics and Physics in the Life Sciences and Experimental Biology); it hosts the Clinical Operational Research Unit and has 20 postdoctoral researchers including the Clifford Fellow. 

The London School of Geometry and Number Theory is run by UCL in partnership with King's College London and Imperial College London. Students benefit from our leading role in the inter-university London Taught Course Centre for PhD Students in the Mathematical Sciences.

The training that we offer will differ from a traditional UK PhD in pure mathematics in a number of respects, and particularly in the first-year mathematical training that will take place across the three institutions. 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.


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.


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.

Programme Structure

Research areas
  • Modern geometry
  • Pure mathematics
  • Geometric group theory
  • Discrete systems
  • Analytic and algebraic number theory
  • Arithmetic geometry
  • Modular and automorphic forms
  • Arithmetic aspects of spectral theory

Key information


  • Full-time
    • 48 months

Start dates & application deadlines


480 alternative credits


On Campus

Academic requirements

We are not aware of any academic requirements for this programme.

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 by September; 
  • In Europe this implies a Master’s degree for most applicants. 
  • We also welcome applications from outstanding US bachelor students, for example.
  • Please note we do not expect you to have completed your four-year degree before you apply for our programme, but you must expect to complete this before your entry to our programme in September.

Tuition Fee

To alway see correct tuition fees
  • International

    23420 GBP/year
    Tuition Fee
    Based on the tuition of 23420 GBP per year during 48 months.
  • National

    5690 GBP/year
    Tuition Fee
    Based on the tuition of 5690 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.


LSGNT studentships are all fully funded, including fees, a stipend and a grant to cover travel expenses to attend conferences/workshops. 

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

Our partners

London School of Geometry and Number Theory
University College London (UCL)


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