- Type of research degree
- Application deadline
- Ongoing deadline
- Country eligibility
- International (open to all nationalities, including the UK)
- Dr Asaf Karagila
- School of Mathematics
- Research groups/institutes
The Axiom of Choice is one of the most fundamental axioms in modern mathematics, and it is used in almost every field of pure mathematics. The axiom provides us with the existence of certain objects, but not with their description. Sometimes such a description is desirable, in which case we need to understand in depth the use we make of the Axiom of Choice and whether or not it is necessary. The standard techniques come from set theory and they are forcing and symmetric extensions.<br /> <br /> In this project the student will advance the knowledge we have about the necessity of the Axiom of Choice in various subjects of mathematics by using and extending these standard techniques.
<p>Formal applications for research degree study should be made online through the <a href="https://www.leeds.ac.uk/research-applying/doc/applying-research-degrees">University's website</a>. Please state clearly in the Planned Course of Study section that you are applying for <em><strong>PHD Pure Mathematics FT</strong></em> and in the research information section that the research degree you wish to be considered for is <em><strong>Aspects of Choiceless Set Theory</strong> </em>as well as <a href="https://eps.leeds.ac.uk/maths/staff/10607/dr-asaf-karagila">Asaf Karagila</a> as your proposed supervisor.</p> <p>If English is not your first language, you must provide evidence that you meet the University's minimum English language requirements (below).</p> <p><em>As an international research-intensive university, we welcome students from all walks of life and from across the world. We foster an inclusive environment where all can flourish and prosper, and we are proud of our strong commitment to student education. Across all Faculties we are dedicated to diversifying our community and we welcome the unique contributions that individuals can bring, and particularly encourage applications from, but not limited to Black, Asian, people who belong to a minority ethnic community, people who identify as LGBT+ and people with disabilities. Applicants will always be selected based on merit and ability.</em></p> <p>Applications will be considered on an ongoing basis. Potential applicants are strongly encouraged to contact the supervisors for an informal discussion before making a formal application. We also advise that you apply at the earliest opportunity as the application and selection process may close early, should we receive a sufficient number of applications or that a suitable candidate is appointed.</p> <p>Please note that you must provide the following documents at the point you submit your application:</p> <p>• Full Transcripts of all degree study or if in final year of study, full transcripts to date<br /> • Personal Statement outlining your interest in the project<br /> • CV<br /> • Funding information including any alternative sources of funding that you are applying for or if you are able to pay your own fees and maintenance<br /> </p>
Applicants to research degree programmes should normally have at least a first class or an upper second class British Bachelors Honours degree (or equivalent) in an appropriate discipline. The criteria for entry for some research degrees may be higher, for example, several faculties, also require a Masters degree. Applicants are advised to check with the relevant School prior to making an application. Applicants who are uncertain about the requirements for a particular research degree are advised to contact the School or Graduate School prior to making an application.
The minimum English language entry requirement for research postgraduate research study is an IELTS of 6.0 overall with at least 5.5 in each component (reading, writing, listening and speaking) or equivalent. The test must be dated within two years of the start date of the course in order to be valid. Some schools and faculties have a higher requirement.
<p><strong>Self-Funded or externally sponsored students are welcome to apply.</strong></p> <p><strong>UK</strong> – <a href="https://phd.leeds.ac.uk/funding/209-leeds-doctoral-scholarships-2023">The Leeds Doctoral Scholarships</a>, <a href="https://phd.leeds.ac.uk/funding/234-leeds-opportunity-research-scholarship-2023">Leeds Opportunity Research Scholarship</a> (open from October 2023) and <a href="https://phd.leeds.ac.uk/funding/55-school-of-mathematics-scholarship">School of Mathematics Scholarships</a> are available to UK applicants. <a href="https://phd.leeds.ac.uk/funding/60-alumni-bursary">Alumni Bursary</a> is available to graduates of the University of Leeds.</p> <p><strong>Non-UK</strong> –<a href="https://phd.leeds.ac.uk/funding/55-school-of-mathematics-scholarship">The School of Mathematics Scholarships </a>are available to all International applicants. The <a href="https://phd.leeds.ac.uk/funding/48-china-scholarship-council-university-of-leeds-scholarships-2023">China Scholarship Council - University of Leeds Scholarship</a> is available to nationals of China (open from October 2023). The Leeds Marshall Scholarship is available to support US citizens. <a href="https://phd.leeds.ac.uk/funding/60-alumni-bursary">Alumni Bursary</a> is available to graduates of the University of Leeds.</p> <p><strong>Important:</strong> Any costs associated with your arrival at the University of Leeds to start your PhD including flights, immigration health surcharge/medical insurance and Visa costs are not covered under this studentship.</p> <p>Please refer to the <a href="https://www.ukcisa.org.uk/">UKCISA</a> website for information regarding Fee Status for Non-UK Nationals.<br /> </p>
<p>For further information please contact our admissions team: <a href="mailto:email@example.com">firstname.lastname@example.org</a></p> <p>For questions about the research project, contact Dr Asaf Karagila: <a href="mailto:A.Karagila@leeds.ac.uk">A.Karagila@leeds.ac.uk</a></p>