Classifying terminal Fano varieties using Mirror Symmetry

Lead Research Organisation: University of Nottingham
Department Name: Sch of Mathematical Sciences

Abstract

In recent years, two fundamentally different approaches to mapping the landscape of terminal Fano threefolds have emerged. On the one hand, there are the graded ring techniques pioneered by Brown and Reid; on the other hand are new ideas emerging from Mirror Symmetry, as developed by Coates, Corti, Kasprzyk, etc. This thesis exploits both approaches, combining their fundamentally different mathematical ideas to begin to understand the classification of terminal Fano threefolds. The main resources are the Graded Ring Database -- a database of candidate Hilbert series of Fano threefolds -- and various classifications of lattice polytopes.

Publications

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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N50970X/1 30/09/2016 29/09/2021
2280871 Studentship EP/N50970X/1 30/09/2019 30/03/2023 Thomas Hall
EP/R513283/1 30/09/2018 29/09/2023
2280871 Studentship EP/R513283/1 30/09/2019 30/03/2023 Thomas Hall