Number of awards
1
Start date and duration
42 months from September 2021.
Overview
The School of Mathematics, Statistics and Physics invites applications for a PhD position in Mathematical Analysis, under the supervision of Dr David Seifert.
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
Name of supervisor(s)
Dr David Seifert, School of Mathematics, Statistics and Physics
Eligibility Criteria
This studentship is available to all candidates who 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.
Applicants whose first language is not English require a minimum of IELTS 6.5. International applicants may require an ATAS (Academic Technology Approval Scheme) clearance certificate prior to obtaining their visa and to study on this programme.
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 form.
Please include the following information:
- Insert the programme code 8080F in the programme of study section.
- Select ‘PhD Mathematics – Pure’
- Insert the studentship code MSP030 in the studentship/partnership reference field.
- Attach degree transcripts and certificates, and, if English is not your first language, a copy of your English language qualification.
- Attach a covering letter and your CV.
Contact
For further information, please email Dr David Seifert.