Mathematician:Gerd Faltings

Mathematician

German mathematician known for his work in arithmetic algebraic geometry.

Fields Medal

Gerd Faltings was awarded a Fields Medal in $\text {1986}$ at the International Congress of Mathematicians in Berkeley, California, USA:

Using methods of arithmetic algebraic geometry, he received medal primarily for his proof of the Mordell Conjecture.

Nationality

German

History

• Born: 28 July 1954 in Gelsenkirchen-Buer, West Germany

Theorems and Definitions

• Faltings Height
• Faltings' Product Theorem
• Faltings' Theorem (previously known as Mordell's Conjecture)

Results named for Gerd Faltings can be found here.

Publications

• 1983: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern (Inventiones Mathematicae Vol. 73, no. 3: pp. 349 – 366)

• 1991: Diophantine approximation on abelian varieties (Annals of Mathematics: Second Series Vol. 133, no. 3: pp. 549 – 576)

Sources

• John J. O'Connor and Edmund F. Robertson: "Gerd Faltings": MacTutor History of Mathematics archive