About the Project
A major focus of the project will be the Morrison--Kawamata conjecture, an important open problem in the field that aims to describe the geometry of algebraic varieties in a uniform way. The student will develop effective methods to verify the conjecture for large families of Calabi--Yau varieties from the databases described above. Successful progress will require the student to use a combination of explicit computational methods together with powerful tools from birational geometry. The project has scope for expansion in several directions, for example the development of a more theoretical approach to the conjecture for Calabi--Yaus.
The successful applicant will join the Centre for Geometry and Applications at Loughborough. Established in 2017, this Centre supports research in geometry and related areas such as mathematical physics. At present there are 8 permanent academic staff, together with a growing group of postdoctoral and PhD researchers. The Centre has a vibrant research culture, with activities include weekly research seminar, regular meetings, and excellent links with groups in neighbouring institutions.
Entry requirementsStudents should have, or expect to achieve, at least a 2:1 or equivalent degree classification in mathematics.
How to applyAll applications should be made online at http://www.lboro.ac.uk/study/apply/research/. Under programme name, select “Mathematical Sciences”.
Please quote reference number: MA/APS-Un1/2020
Start dates: October 2020, January 2021, April 2021, July 2021
Duration: Full-time (3 years)
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