Bôcher Memorial Prize
The Bôcher Memorial Prize is a prize awarded by the American Mathematical Society for notable publications in the field of analysis over the past six years. It is currently awarded every three years by the American Mathematical Society. Only members of the AMS or persons whose articles have appeared in well-known US American journals can receive the award, which is currently endowed with US $ 5,000.
The prize was awarded for the first time in 1923, making it the oldest prize awarded by the AMS. It is named after Maxime Bôcher (* 1867; † 1918), a mathematics professor and president of the AMS (1909-1910).
Award winners
| year | Surname | Reason for the award |
|---|---|---|
| 1923 | George David Birkhoff | For Dynamical systems with two degrees of freedom (Transactions of the American Mathematical Society, volume 18 (1917), pp. 199-300) |
| 1924 | Eric Temple Bell | For Arithmetical paraphrases (I, II, Transactions of the American Mathematical Society, volume 22 (1921), pp. 1-30, 198-219) |
| Solomon Lefschetz | For On certain numerical invariants with applications to Abelian varieties (Transactions of the American Mathematical Society, volume 22 (1921), pp. 407-482) | |
| 1928 | James W. Alexander | For Combinatorial analysis situs (Transactions of the American Mathematical Society, volume 28 (1926), pp. 301-329) |
| 1933 | Marston Morse | For The foundations of a theory of the calculus of variations in the large in m-space (Transactions of the American Mathematical Society, volume 31 (1929), pp. 379-404) |
| Norbert Wiener | For Tauberian theorems (Annals of Mathematics, Series 2, volume 33 (1932), pp. 1-100) | |
| 1938 | John von Neumann | For Almost periodic functions and groups (I, II, Transactions of the American Mathematical Society, volume 36 (1934), pp. 445-492, and volume 37 (1935), pp. 21-50) |
| 1943 | Jesse Douglas | For Green's function and the problem of Plateau (American Journal of Mathematics, volume 61 (1939), pp. 545-589); The most general form of the problem of Plateau (American Journal of Mathematics, volume 61 (1939), pp. 590-608) and Solution of the inverse problem of the calculus of variations (Proceedings of the National Academy of Sciences, volume 25 ( 1939), pp. 631-637) |
| 1948 | Albert C. Schaeffer and Donald Spencer | For Coefficients of simple functions (I, II, III, IV, Duke Mathematical Journal, volume 10 (1943), pp. 611-635, volume 12 (1945), pp. 107-125) and in (Proceedings of the National Academy of Sciences, volume 32 (1946), pp. 111-116, volume 35 (1949), pp. 143-150) |
| 1953 | Norman Levinson | For his achievements in the field of linear, non-linear, ordinary and partial differential equations in his publications in recent years. |
| 1959 | Louis Nirenberg | For his work in the field of partial differential equations. |
| 1964 | Paul Joseph Cohen | For On a conjecture of Littlewood and idempotent measures (American Journal of Mathematics, volume 82 (1960), pp. 191-212) |
| 1969 | Isadore M. Singer | In recognition of his work on the index problem, especially his two publications with Michael Francis Atiyah : The index of elliptic operators (I, III, Annals of Mathematics, Series 2, volume 87 (1968), pp. 484-530, 546-604) |
| 1974 | Donald S. Ornstein | For Bernoulli shifts with the same entropy are isomorphic (Advances in Mathematics, volume 4 (1970), pp. 337-352) |
| 1979 | Alberto Calderón | In recognition of his outstanding work in the field of singular integral equations and partial differential equations, especially his publication Cauchy integrals on Lipschitz curves and related operators (Proceedings of the National Academy of Sciences, USA, volume 74 (1977), pp. 1324-1327) |
| 1984 | Luis Caffarelli | For his outstanding achievements in the field of nonlinear partial differential equations, especially his work on free boundary value problems, vortex theory and regularity theory . |
| Richard Melrose | For the solution of several outstanding problems in the field of diffraction theory and scattering theory as well as for the development of suitable analytical tools for their elimination. | |
| 1989 | Richard Schoen | For his work on the application of partial differential equations of differential geometry , especially his expansion of the solutions to the Yamabe problem in his publication Conformal deformation of a Riemannian metric to constant scalar curvature (Journal of Differential Geometry, volume 20 (1984), pp. 479 -495) |
| 1994 | Leon Simon | For his profound contribution to the understanding of the structure of singular sets of solutions to problems of variation. |
| 1999 | Demetrios Christodoulou | For his contribution to the mathematical theory of general relativity . |
| Sergiu Klainerman | For his contribution to nonlinear hyperbolic differential equations. | |
| Thomas Wolff | For his work in the field of Fourier analysis . | |
| 2002 | Daniel Tătaru | For his outstanding publication On global existence and scattering for the wave maps equations (Amer. Jour. Of Math. 123 (2001) no. 1, 37-77) |
| Terence Tao | For his breakthrough regarding the problem of critical regularity in Sobolev spaces of the wave maps equations ; as well as for Global regularity of wave maps I. Small critical Sobolev norm in high dimensions (Int. Math. Res. Notices (2001), no.6, 299-328) and Global regularity of wave maps II. Small energy in two dimensions in (Comm. Math. Phys. 224 (2001), no.2, 443-554) | |
| Fang-hua Lin | For his outstanding contribution to the understanding of Ginzburg-Landau equations with small parameters. | |
| 2005 | Frank Merle | For his outstanding work in the field of the analysis of nonlinear dispersive equations. |
| 2008 | Alberto Bressan | For his outstanding work on hyperbolic conservation laws. |
| Charles Fefferman | For his various fundamental contributions to various areas of analysis. | |
| Carlos Kenig | For his important contribution to Fourier analysis, to partial differential equations and to nonlinear dispersive partial differential equations. | |
| 2011 | Gunther Uhlmann | For his fundamental contributions to the theory of inverse problems |
| Assaf Naor | For the introduction of new invariants in metric spaces and for the application of his new interpretation of the perturbation between different metric structures in computer science. | |
| 2014 | Simon Brendle | For his outstanding solutions to long open problems in geometric analysis including the solution of the Differentiable Spheres Theorem with Richard Schoen (Journal AMS, Volume 22, 2009) and the solution of the Lawson Conjecture (appears in Acta Mathematica 2013). Brendle is also recognized for his in-depth contributions to the study of the Yamabe equation. |
| 2017 | András Vasy | For his fundamental publication Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces, Inventiones Mathematicae, 194 (2013), 381513. |
| 2020 | Camillo De Lellis | For his innovative view on the construction of continuous dissipative solutions of the Euler equations, which ultimately led to Isett's complete solution of Onsager's conjecture, and for his spectacular work in the regularity theory of minimal surfaces, in which he completed and improved Almgren's program. |
| Lawrence Guth | For his profound and influential development of algebraic and topological methods for partitioning Euclidean space and organizing data on multiple levels, and for his powerful applications of these tools in harmonic analysis, incidence geometry, analytical number theory, and partial differential equations. | |
| Laure Saint-Raymond | For her transformative contributions to kinetic theory, fluid dynamics and Hilbert's sixth problem, "to mathematically develop the boundary processes ... which lead from the atomistic view to the laws of motion of the continua". |