Quantitative uniform Mordell

During Easter term 2026, we will be studying the recent paper of Yu--Yuan--Zhou, proving a quantitative version of the uniform Mordell and Bogomolov conjecture.
We will usually meet on Thursdays at 11am in MR12, except the first meeting, which will be on Friday 1 May, and except the third meeting, which will be in MR13.

Paper: [link]

Schedule: [pdf]

Distribution of talks:

Coordinates Topic Speaker Handwritten notes

Fri 1 May MR12 Introduction and distribution of talks Jef [pdf]

Thu 7 May MR12 The Weil height machine and canonical heights on abelian varieties Adam [pdf]

Thu 14 May MR13 Mumford Gap principle Marti [pdf]

Thu 21 May MR12 An overview of Vojta's inequality Jack [pdf]

Thu 28 May MR12 The formalism of admissible adelic line bundles Holly

Thu 4 June MR12 Quantitative Mumford/Vojta inequality Bence

Thu 11 June MR12 The Bogomolov conjecture and its quantitative uniform version Dmitri

Thu 18 June MR12 Putting everything together ???

Coordinates	Topic	Speaker	Handwritten notes
Fri 1 May MR12	Introduction and distribution of talks	Jef	[pdf]
Thu 7 May MR12	The Weil height machine and canonical heights on abelian varieties	Adam	[pdf]
Thu 14 May MR13	Mumford Gap principle	Marti	[pdf]
Thu 21 May MR12	An overview of Vojta's inequality	Jack	[pdf]
Thu 28 May MR12	The formalism of admissible adelic line bundles	Holly
Thu 4 June MR12	Quantitative Mumford/Vojta inequality	Bence
Thu 11 June MR12	The Bogomolov conjecture and its quantitative uniform version	Dmitri
Thu 18 June MR12	Putting everything together	???