Prime Numbers Modular Forms Irrational Numbers Diophantine Equations Zeta Functions Algebraic Geometry Pi Field Theory L-functions Ramanujan Partition Theory Hecke Forms Dynamical Systems Elliptic Curves Conway's Theories Calendars Conjectures k-Full Numbers Eisenstein Series Elliptic Functions Srinivasa Ramanujan Prime Number Theorem Mathematical Analysis Ergodic Theory Hecke Theory Factoring Divisor Theory Theoretical Physics Concept of Zero Galois Theory Valuation Theory Riemann Hypothesis Sequences Class Numbers Erdős Problems Genus Theory Congruences Integer Solutions Arithmetic Dynamics Nielsen Numbers Eigenforms L-Functions Enumerative Combinatorics Perfect Squares Research Methods Geometric Properties Integer Factorization Mersenne Primes Discrete Geometry Arithmetic Statistics G-functions Ramanujan's Theorems Mock Theta Functions Langlands Program Pythagorean Theorem Erdős Contributions Primes Hecke Algebras Quadratic Residues Character Theory Frobenius Traces Puzzles Arithmetic Geometry Quadratic Fields Functional Equations Motivic L-functions Finite Fields
The Norwegian Academy honored him for the 1983 solution to the Mordell conjecture, a result that transformed arithmetic geometry.
