• University of Tasmania Featured PhD Programmes
  • University of Pennsylvania Featured PhD Programmes
  • University of Cambridge Featured PhD Programmes
  • Staffordshire University Featured PhD Programmes
  • University of Leeds Featured PhD Programmes
  • Aberdeen University Featured PhD Programmes
  • FindA University Ltd Featured PhD Programmes
University of York Featured PhD Programmes
Coventry University Featured PhD Programmes
Imperial College London Featured PhD Programmes
University of Liverpool Featured PhD Programmes
University of Reading Featured PhD Programmes

Davenport’s problem with a difference

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Awaiting Funding Decision/Possible External Funding
    Awaiting Funding Decision/Possible External Funding

Project Description

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing either in September 2016 (funded students) or at any point in the academic year (self-funded students).

Consider two polynomials with rational coefficients which which have the same ranges modulo p for all but finitely many primes p. Davenport asked whether such polynomials must be tied by a linear change of variables. There is a large body of work on this problem, most notably by Fried and Muller, showing that, under additional hypothesis, the answer is affirmative. In general, the answer is far from straightforward.

The goal of this project is to use the recent work of Dr Tomasic in difference algebra and geometry to extend these considerations to the study of difference polynomials over algebraic closures of finite fields equipped with powers of the Frobenius automorphism. The project is aimed at a student with interests in algebraic geometry, number theory and interactions with model theory and logic.

This project will be supervised by Dr Ivan Tomasic.

Further details can be found in the project abstract: http://www.maths.qmul.ac.uk/sites/default/files/phd%20projects%202015/G&A/phdproj4.pdf

The application procedure is described on the School website. For further enquiries please contact Dr Ivan Tomašić ().

This project is eligible for several sources of full funding for the 2016/17 academic year, 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. The best candidates will be eligible to receive a prestigious Ian Macdonald Postgraduate Award of £1000, for which you will be considered alongside your application. The application deadline for full funding is January 31st 2016.

There is also 50% funding scheme available for students who are able to find the matching 50 % of the cost of their studies. Competition for these half-funded slots will be less intensive, and eligible students should mention their willingness to be considered for them in their application. The application deadline for 50 % funding is January 31st 2016.

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.

Funding Notes

If you wish to apply for the above funding slots, please visit the application website and mention that you wish to work on the “Davenport's problem with a difference” project.

School website: View Website

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

Email Now

Insert previous message below for editing? 
You haven’t included a message. Providing a specific message means universities will take your enquiry more seriously and helps them provide the information you need.
Why not add a message here
* required field
Send a copy to me for my own records.
Email Sent

Share this page:

Cookie Policy    X