PhD Studentship in Mathematical Analysis

Number of awards
1

Start date and duration
42 months from September 2020

Overview
The School of Mathematics, Statistics and Physics (https://bit.ly/2YlpifX) invites applications for a PhD position in Mathematical Analysis, under the supervision of Dr David Seifert (https://bit.ly/369vNVH).

The project will focus on the development of new operator theoretic approaches to studying the long-time asymptotic behaviour of certain dynamical systems. The past decade has seen a number of exciting developments in the theory of operator semigroups, which are families of bounded linear operators describing the state of a system evolving in time. These new results make it possible to determine the precise asymptotic behaviour of various systems given appropriate spectral information about certain associated differential operators. The theory typically relies on an elegant combination of functional analysis, harmonic analysis and complex analysis, and it has a number of important concrete applications, notably in the study of energy decay of damped waves, the theory of chaotic flows on manifolds and in some areas of control theory. As a result, there is considerable scope to tailor the project to the specific background and interests of the student.

The studentship includes provision of workspace with a desktop computer, and a travel allowance. Postgraduate students also have the opportunity to take part in a range of paid teaching activities, with training provided.

The successful candidate will join the Pure Mathematics Research Group in the School of Mathematics, Statistics and Physics at Newcastle University. In the REF2014 exercise, the School was ranked 11th in the UK by GPA and 10th on publications, placing us in the top quartile for Mathematical Sciences. The School holds an Athena SWAN Bronze Award, in recognition of our commitment to advancing gender equality.

Sponsor
NUAcT Fellowship Scheme and School of Mathematics, Statistics and Physics (https://bit.ly/2YlpifX)

Name of supervisor(s)
Dr David Seifert (https://bit.ly/369vNVH)

Eligibility Criteria
You must have, or expect to achieve, a first class or high 2:1 honours degree in mathematics or a closely related discipline. A masters-level qualification is desirable but not essential. The main requirements for a successful application are a sound background in analysis, a high level of motivation and an ability to think and work independently.

This award is available to UK/EU and international candidates. If English is not your first language, you must have IELTS 6.5 overall (with a minimum of 5.5 in all sub-skills). The School is committed to promoting diversity, and we particularly encourage applications from under-represented groups.

How to apply
You must apply through the University’s online postgraduate application system (https://bit.ly/2PkdINR).

You will need to:

click on programme of study
insert 8080F in the programme code section and click search
select Programme name ‘PhD Mathematics (full time) - Pure Mathematics’
insert MSP020 in the studentship/partnership reference field
attach a covering letter and CV. The covering letter must state the title of the studentship, quote reference code MSP020 and state how your interests and experience relate to the project
attach degree transcripts and certificates and, if English is not your first language, a copy of your English language qualifications

Contact
Dr David Seifert (https://bit.ly/369vNVH)