Faltings' Theorem/Historical Note

Historical Note on Faltings' Theorem

The result now known as Faltings' Theorem was originally known as Mordell's Conjecture, after Louis Joel Mordell.

Gerd Faltings published a proof of it in his $1983$ paper: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern (Inventiones Mathematicae Vol. 73, no. 3: pp. 349 – 366).

For this he was awarded the Fields Medal in $\text {1986}$.