Analytic Number Theory over Function Fields, Mathematics– MPhil/PhD (Funded) Ref: 3029

About the award

The Department of Mathematics at the University of Exeter in the College of Engineering, Mathematics and Physical Sciences, is inviting applications for a Leverhulme fully-funded PhD studentship to commence in September 2018 or as soon as possible thereafter under the supervision of Dr Julio Andrade under the Leverhume research grant entitled “Moments of L-functions in Function Fields and Random Matrix Theory”.  For eligible students the studentship will cover UK/EU tuition fees plus an annual tax-free stipend of at least £14,777 for 3.5 years full-time, or pro rata for part-time study.  The student would be based in Exeter in the department of mathematics at the College of Engineering, Mathematics and Physical Sciences at the Streatham Campus in Exeter.


Mathematics, Streatham Campus, CEMPS, Exeter

Academic Supervisors:
Dr Julio Andrade, University of Exeter
Professor Nigel Byott, University of Exeter

Project Description:
In the past decade there has been an explosion of activity involving function field analogues of important problems in number theory. It is in this scope that this project is inserted. The student will study classical analytic techniques and methods from analytic number theory and employ these tools to solve several classical problems from number theory in the function field context. Specifically, the main subject of study will be the Euler-Hadamard hybrid formula and its relationship with the random matrix theory. Other topics include the study of distribution of zeros of L-functions such as one-level density and pair correlation. For the final parts of the project, the student will focus on investigating several problems related to arithmetic functions for the polynomial ring over a finite field.

This award provides annual funding to cover UK/EU tuition fees and a tax-free stipend.  For students who pay UK/EU tuition fees the award will cover the tuition fees in full, plus at least £14,777 per year tax-free stipend. 
The studentship will be awarded on the basis of merit for 3.5 years of full-time study to commence in September 2018.   

Entry requirements:
Applicants for this studentship must have obtained, or be about to obtain, a First or Upper Second Class UK Honours degree, or the equivalent qualifications gained outside the UK, in an appropriate area of science or technology. It is desirable (but not essential) to have some research experience in mathematics and a master’s degree in Mathematics and/or allied fields. 
If English is not your first language you will need to have achieved at least 6.0in IELTS and no less than 6.0 in any section by the start of the project.  Alternative tests may be acceptable (see

How to apply



How to apply

In the application process you will be asked to upload several document

·         CV

         Letter of application (outlining your academic interests, prior research experience and reasons for wishing to undertake the project).

         Research proposal

         Transcript(s) giving full details of subjects studied and grades/marks obtained (this should be an interim transcript if you are still studying)

         Names of two referees familiar with your academic work. You are not required to obtain references yourself. We will request references directly from your referees if you are shortlisted.

         If you are not a national of a majority English-speaking country you will need to submit evidence of your proficiency in English

The closing date for applications is midnight on 29/06/2018.  Interviews will be held on the University of Exeter and/or by Skype on the week commencing [09/07/2018].

If you have any general enquiries about the application process please email or phone +44 (0)1392 722730.  Project-specific queries should be directed to the main supervisor Dr. Julio Andrade.




Application deadline:29th June 2018
Value:14777 for 3.5 yrs
Duration of award:per year
Contact: Post Graduate Research Office