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Around Tao’s algebraic regularity lemma

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Competition Funded PhD Project (Students Worldwide)
    Competition Funded PhD Project (Students Worldwide)

Project Description

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing either in September 2019 for students seeking funding, or at any point in the academic year for self-funded students. The deadline for funded applications is 31 January 2019.

This project will be supervised by Dr Ivan Tomasic.

Everybody is talking about Tao’s algebraic regularity lemma. In every area of mathematical research, from (algebraic) combinatorics, model theory (logic), number theory and algebraic geometry, researchers are finding new and inventive ways of using it and finding new instances and analogues of it.

In short, Tao’s regularity lemma is a variant of the celebrated Szemeredi’s regularity lemma (which is a result for arbitrary graphs) that works for graphs that can be defined over the so-called pseudofinite fields (or uniformly over finite fields). It says that such a graph can be decomposed into pieces roughly about the same size so that the edges between those pieces behave almost randomly.

For more information, please see here: https://www.qmul.ac.uk/maths/media/maths/Tomasic-Project-2018.pdf

The application procedure is described on the School website. For further inquiries please contact Dr Ivan Tomasic at . This project is eligible for full funding, including support for 3.5 years’ study, additional funds for conference and research visits and funding for relevant IT needs. Applicants interested in the full funding will have to participate in a highly competitive selection process.

Funding Notes

This project can be also undertaken as a self-funded project, either through your own funds or through a body external to Queen Mary University of London. Self-funded applications are accepted year-round.

The School of Mathematical Sciences is committed to the equality of opportunities and to advancing women’s careers. As holders of a Bronze Athena SWAN award we offer family friendly benefits and support part-time study. Further information is available here. We strongly encourage applications from women as they are underrepresented within the School.

We particularly welcome applicants through the China Scholarship Council Scheme.

Related Subjects

How good is research at Queen Mary University of London in Mathematical Sciences?

FTE Category A staff submitted: 34.80

Research output data provided by the Research Excellence Framework (REF)

Click here to see the results for all UK universities

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