Faltings' theorem
Faltings' theorem
Curves of genus > 1 over the rationals have only finitely many rational points.
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Readers' pathsAug 2026 – Oct 2026
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Gerd Faltings
German mathematician (born 1954).
21%
Louis J. Mordell
American-born British mathematician (1888-1972).
9.6%
Genus (mathematics)
Number of "holes" of a surface.
8.6%
Arithmetic geometry
Branch of algebraic geometry.
4%
Igor Shafarevich
Soviet and Russian mathematician and political dissident.
3.4%
Paul Vojta
American mathematician.
3.2%
Akshay Venkatesh
Australian mathematician (born 1981).
2.6%
Enrico Bombieri
Italian mathematician (born 1940).
2.2%
Algebraic curve
Curve defined as zeros of polynomials.
1.7%
Aleksei Parshin
Russian mathematician (1942–2022).
1.6%
Readers come from
Share of the 1,674 readers arriving from another article
Gerd Faltings
German mathematician (born 1954).
34%
Arithmetic geometry
Branch of algebraic geometry.
11%
Abc conjecture
Conjecture in number theory.
11%
Minhyong Kim
South Korean mathematician (born 1963).
3.6%
Fermat's Last Theorem
17th-century conjecture proved by Andrew Wiles in 1994.
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Louis J. Mordell
American-born British mathematician (1888-1972).
3.1%
Fields Medal
Mathematics award.
2.7%
Diophantine equation
Polynomial equation whose integer solutions are sought.
2%
Vesselin Dimitrov
Bulgarian mathematician (born 1986).
1.4%
Igor Shafarevich
Soviet and Russian mathematician and political dissident.
0.66%