which he has made fundamental contributions. 1980 Harold M. Edwards for mathematical exposition in his books Riemann's zeta function, Pure and Applied Mathematics, number 58, Academic Press, New York and London, 1974; and Fermat's last theorem, Graduate Texts in Mathematics, number 50, Springer-Verlag, New York and Berlin, 1977. 1980 Gerhard Hochschild for his significant work in homological algebra and its applications. 1979 Antoni Zygmund for his cumulative influence on the theory of Fourier series, real variables, and related areas of analysis. 1979 Robin Hartshorne for his expository research article Equivalence relations on algebraic cycles and subvarieties of small codimension, Proceedings of Symposia in Pure Mathematics, volume 29, American Mathematical Society, 1975, pp. 129–164; and his book Algebraic geometry, Springer-Verlag, Berlin and New York, 1977. 1979 Joseph J. Kohn for his fundamental paper: Harmonic integrals on strongly convex domains. I, II, Annals of Mathematics, Series 2, volume 78 (1963), pp. 112–248 and volume 79 (1964), pp. 450–472. 1979 Salomon Bochner for his cumulative influence on the fields of probability theory, Fourier analysis, several complex variables, and differential geometry. 1979 Hans Lewy for three fundamental papers: On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables, Annals of Mathematics, Series 2, volume 64 (1956), pp. 514–522; An example of a smooth linear partial differential equation without solution, Annals of Mathematics, Series 2, volume 66 (1957), pp. 155–158; On hulls of holomorphy, Communications on Pure and Applied Mathematics, volume 13 (1960), pp. 587–591. 1976, 1977, 1978: No awards were made. 1975 George W. Mackey for his paper, Ergodic theory and its significance for statistical mechanics and probability theory, Advances in Mathematics, volume 12 (1974), pp. 178–286. 1975 H. Blaine Lawson for his paper, Foliations, Bulletin of the American Mathematical Society, volume 80 (1974), pp. 369–418. 1975 Lipman Bers for his paper, Uniformization, moduli, and Kleinian groups, Bulletin of the London Mathematical Society, volume 4 (1972), pp. 257–300. 1975 Martin Davis for his paper, Hilbert's tenth problem is unsolvable, American Mathematical Monthly, volume 80 (1973), pp. 233–269. 1975 Joseph L. Taylor for his paper, Measure algebras, CBMS Regional Conference Series in Mathematics, Number 16, American Mathematical Society, 1972. 1972 Edward B. Curtis for his paper, Simplicial homotopy theory, Advances in Mathematics, volume 6 (1971), pp. 107–209. 1972 William J. Ellison for his paper, Waring's problem, American Mathematical