Multiplicative relations among special points of modular and Shimura curves

Research output: ThesisDoctoral Thesis

Abstract

We consider a number of Diophantine problems for (mixed) Shimura varieties. Specifically, we look at the multiplicative relations satisfied by special points of modular and Shimura curves. These problems are closely related to the André--Oort and Zilber--Pink conjectures, and we will resolve some special cases of these conjectures.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Oxford University
Award date6 Jul 2021
Publication statusPublished - 13 Jul 2021

Keywords

  • André-Oort conjecture
  • Zilber-Pink conjecture

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