Fields-medal
Across
- 3. Fundamental contributions to Probability and PDEs
- 5. Created the theory of cobordism
- 7. Proved three conjectures of Weil concerning the Riemann hypothesis
- 9. Proved the topological invariance of Pontryagin classes
- 10. Contributed to holomorphic dynamics and geometrization of 3-manifolds
- 15. Contributed to the theory of linear differential operators
- 18. Obtained fundamental results on the zeroes of the Riemann zeta function
- 19. Generalized the Gelfond-Schneider theorem
Down
- 1. Developed motivic cohomology
- 2. Solved the restricted Burnside Problem
- 4. Developed innovative analysis on Lie groups
- 6. Proposed revolutionary results on the structure of the Ricci flow
- 8. Proved the Conway-Norton Moonshine conjecture
- 11. Proved the Mordell Conjecture
- 12. Worked on arithmetic algebraic geometry over p-adic fields
- 13. Fundamental work on the Plateau problem
- 14. Proved the generalized Poincaré conjecture
- 16. Fundamental work on the Langlands problem
- 17. Obtained fundamental results on Harmonic Integrals
- 20. Gave the exact exponent of the Thue-Siegel inequality