of Littlewood and idempotent measures. Amer. J. Math. 82 (1960), 191-212. 1969 Isadore Singer for "his work on the index problem" and especially The index of elliptic operators. I. Ann. of Math. (2) 87 (1968), 484-530 The index of elliptic operators. III. Ann. of Math. (2) 87 (1968), 546-604 both written with Michael Atiyah. 1974 Donald Samuel Ornstein for Bernoulli shifts with the same entropy are isomorphic. Adv. Math. 4 (1970), 337-352. 1979 Alberto Calderón for "his fundamental work on the theory of singular integrals and partial differential equations" and in particular Cauchy integrals on Lipschitz curves and related operators. Proc. Natl. Acad. Sci. U.S.A. 74 (1977), 1324-1327. 1984 Luis Caffarelli for "his deep and fundamental work in nonlinear partial differential equations, in particular his work on free boundary problems, vortex theory and regularity theory" 1984 Richard Melrose for "his solution of several outstanding problems in diffraction theory and scattering theory and for developing the analytical tools needed for their resolution" 1989 Richard Schoen for "his work on the application of partial differential equations to differential geometry," in particular Conformal deformation of a Riemannian metric to constant scalar curvature. J. Diff. Geom. 20 (1984), 479-495. 1994 Leon Simon for: Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems. Ann. of Math. (2) 118 (1983), no. 3, 525–571. Cylindrical tangent cones and the singular set of minimal submanifolds. J. Diff. Geom. 38 (1993), no. 3, 585–652. Rectifiability of the singular set of energy minimizing maps. Calc. Var. Partial Differential Equations 3 (1995), no. 1, 1–65. 1999 Demetrios Christodoulou for: The global nonlinear stability of the Minkowski space. Princeton Mathematical Series, 41. Princeton University Press, Princeton, NJ, 1993. x+514 pp. [written with Sergiu Klainerman] Examples of naked singularity formation in the gravitational collapse of a scalar field. Ann. of Math. (2) 140 (1994), no. 3, 607–653. The instability of naked singularities in the gravitational collapse of a scalar field. Ann. of Math. (2) 149 (1999), no. 1, 183–217 1999 Sergiu Klainerman for: The global nonlinear stability of the Minkowski space. Princeton Mathematical Series, 41. Princeton University Press, Princeton, NJ, 1993. x+514 pp. [written with Demetrios Christodoulou] Space-time estimates for null forms and the local existence theorem. Comm. Pure Appl. Math. 46 (1993), no. 9, 1221–1268 [with Matei Machedon] Smoothing estimates for null forms and applications. Duke Math. J. 81 (1995), no. 1, 99–133 [with Matei Machedon] 1999 Thomas