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Gerd Faltings, who proved the Mordell conjecture, wins the Abel Prize

2 days ago
  • #Arithmetic Geometry
  • #Abel Prize
  • #Mathematics
  • Gerd Faltings awarded the 2024 Abel Prize for lifetime achievements in mathematics.
  • Faltings is renowned for proving the Mordell conjecture in 1983, now called Faltings's theorem.
  • Faltings's theorem states that curves with equations of degree higher than 3 have finitely many rational points.
  • The theorem is a cornerstone of arithmetic geometry, influencing many subsequent mathematical developments.
  • Faltings also made significant contributions to p-adic Hodge theory and generalized his theorem to higher dimensions.
  • He previously won the Fields Medal at age 32, marking a distinguished career.
  • The Abel Prize committee praised Faltings as a towering figure who reshaped arithmetic geometry.
  • Faltings reflects on the increasing competition in mathematics but remains content with his legacy.