Survey presenting the quantitative uniformity theorem for the Mordell conjecture proved by Yu--Yuan--Zhou, building on Vojta, Dimitrov--Habegger--Gao and Kuhne.
Gao, Recent developments of the uniform Mordell–Lang conjecture , preprint, https://arxiv.org/abs/2104.03431, 2021
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Expository account of adelic line bundles, arithmetic positivity, and applications to equidistribution and uniform Bogomolov conjecture.
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Quantitativity in the Mordell Conjecture
Survey presenting the quantitative uniformity theorem for the Mordell conjecture proved by Yu--Yuan--Zhou, building on Vojta, Dimitrov--Habegger--Gao and Kuhne.
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Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry
Expository account of adelic line bundles, arithmetic positivity, and applications to equidistribution and uniform Bogomolov conjecture.