1978 Fields Medal (3)
Reason for Award
Provided innovative analysis of the structure ofLie groups. His work belongs tocombinatorics,differential geometry,ergodic theory,dynamical systems, and Lie groups.
Laureates
Gregori Aleksandrovi（t?）ch Margulis,
Soviet Union
Other works in the same year
- Gave solution of the threeWeil conjecturesconcerning generalizations of theRiemann hypothesisto finite fields. His work did much to unifyalgebraic geometryandalgebraic number theory.
- Contributed several innovations that revised the study of multidimensionalcomplex analysisby finding correct generalizations of classical (low-dimensional) results.
- The prime architect of the higheralgebraic K-theory, a new tool that successfully employed geometric and topological methods and ideas to formulate and solve major problems in algebra, particularlyring theoryandmodule theory.