Funding suppliers: Swansea College
Topic areas: Arithmetic
Challenge begin date: 1 October 2024 (Enrolment open from mid-September)
Motivic homotopy principle is a spectacular space of arithmetic, with many highly effective functions inside and round arithmetic. It has considerably impacted algebraic geometry by way of improvements which have led to the answer of various longstanding issues, such because the Milnor Conjecture (Voevodsky) or the Bloch–Kato Conjecture (Rost–Voevodsky). As well as, these developments have spurred on new discoveries in quantity principle and algebraic topology.
This venture is to discover and develop additional points of enriched motivic homotopy principle which is of main significance for developing varied classes of non-linear motives and motivic Gamma-spaces, a framework for infinite loop areas and really efficient spectra within the algebro-geometric setting of motivic homotopy principle. Purposes of this analysis are anticipated in algebraic geometry, algebraic topology and class principle.
Candidates should have attained, or should be anticipated to achieve, a first-class honours diploma and/or a distinction at grasp’s stage. In case you are eligible to use for the scholarship (i.e. a pupil who’s eligible to pay the UK charge of tuition charges) however don’t maintain a UK diploma, you may verify our comparability entry necessities. Please be aware that you could be want to offer proof of your English Language proficiency.
As a result of funding restrictions, this scholarship is open to candidates eligible to pay tuition charges on the UK charge solely, as outlined by UKCISA rules.
This scholarship covers the complete price of UK tuition charges and an annual stipend at UKRI charge (presently £18,622 for 2023/24).
Further analysis bills can even be obtainable.
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