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Enumerative Problems in Algebraic Geometry

Lead Research Organisation: University of Cambridge
Department Name: Pure Maths and Mathematical Statistics

Abstract

I am working on enumerative problems in algebraic geometry, with a connection to mirror symmetry. In particular I aim to understand the formal properties and behaviour of logarithmic Gromov-Witten invariants and the related quantum cohomology ring. I have approached this using a modification of logarithmic deformation theory. These invariants have been used in the construction of mirror by Gross and Siebert, and I have also been working to understand their program.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509620/1 30/09/2016 29/09/2022
1951097 Studentship EP/N509620/1 30/09/2017 31/12/2020 Benjamin Morley