22:
1110:
for "his deep and influential development of algebraic and topological methods for partitioning the
Euclidean space and multi-scale organization of data, and his powerful applications of these tools in harmonic analysis, incidence geometry, analytic number theory, and partial differential equations"
1082:
for "his innovative point of view on the construction of continuous dissipative solutions of the Euler equations, which ultimately led to Isett's full solution of the
Onsager conjecture, and his spectacular work in the regularity theory of minimal surfaces, where he completed and improved Almgren's
756:
in addition to "his remarkable series of papers, written in collaboration with J. Colliander, M. Keel, G. Staffilani, and H. Takaoka, on global regularity in optimal
Sobolev spaces for KdV and other equations, as well as his many deep contributions to Strichartz and bilinear
939:
for "introducing new invariants of metric spaces and for applying his new understanding of the distortion between various metric structures to theoretical computer science" and his "remarkable work on a lower bound in the sparsest cut problem"
1142:
for "her transformative contributions to kinetic theory, fluid dynamics, and
Hilbert's sixth problem on 'developing mathematically the limiting processes...which lead from the atomistic view to the laws of motion of continua,'"
725:
in addition to his "important work on
Strichartz estimates for wave equations with rough coefficients and applications to quasilinear wave equations, as well as his many deep contributions to unique continuation
1182:
for "their groundbreaking work establishing the existence of blow-up solutions to the defocusing NLS equation in some supercritical regimes and to the compressible Euler and Navier-Stokes equations" including
787:
in addition to other "fundamental contributions to our understanding of the
Ginzburg-Landau (GL) equations with a small parameter" and "many deep contributions to harmonic maps and liquid crystals."
1294:
1018:
as well as "incisive work on boundary rigidity with L. Pestov and with P. Stepanov and on nonuniqueness (also known as cloaking) with A. Greenleaf, Y. Kurylev, and M. Lassas."
130:
with an initial endowment of $ 1,450 (contributed by members of that society). It is awarded every three years (formerly every five years) for a notable research work in
1309:
188:
533:
for "his deep and fundamental work in nonlinear partial differential equations, in particular his work on free boundary problems, vortex theory and regularity theory"
653:
540:
for "his solution of several outstanding problems in diffraction theory and scattering theory and for developing the analytical tools needed for their resolution"
816:
149:
687:
Essays on
Fourier analysis in honor of Elias M. Stein (Princeton, NJ, 1991), 321–384, Princeton Math. Ser., 42, Princeton Univ. Press, Princeton, NJ, 1995
39:
1279:
419:
for "his contributions to the theory of linear, nonlinear, ordinary, and partial differential equations contained in his papers of recent years"
134:
that has appeared during the past six years. The work must be published in a recognized, peer-reviewed venue. The current award is $ 5,000.
86:
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58:
105:
65:
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for "his important contributions to harmonic analysis, partial differential equations, and nonlinear dispersive PDE" including:
347:
1314:
43:
72:
123:
54:
1167:
793:
1216:
911:
Well-posedness and scattering results for the generalized
Korteweg-de Vries equation via the contraction principle.
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for "his fundamental work on the theory of singular integrals and partial differential equations" and in particular
430:
241:
32:
1304:
853:
Oxford
Lecture Series in Mathematics and its Applications, 20. Oxford University Press, Oxford, 2000. xii+250 pp.
387:
829:
155:
601:
498:
547:
for "his work on the application of partial differential equations to differential geometry," in particular
485:
804:
Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation.
923:
Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation.
296:
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141:, did so in 2020. About eighty percent of the journal articles recognized since 2000 have been from
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579:
Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems.
951:
1253:
1079:
867:
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Princeton
Mathematical Series, 41. Princeton University Press, Princeton, NJ, 1993. x+514 pp.
634:
614:
Princeton Mathematical Series, 41. Princeton University Press, Princeton, NJ, 1993. x+514 pp.
374:
220:
1245:
925:
707:
370:
307:
199:
161:
127:
673:
for "his work in harmonic analysis," "harmonic measure, and unique continuation," including
1175:
1157:
Mathematical study of degenerate boundary layers: a large scale ocean circulation problem.
1027:
for "his outstanding solutions of long standing problems in geometric analysis", including
994:
840:
530:
423:
416:
618:
Examples of naked singularity formation in the gravitational collapse of a scalar field.
1058:
796:
for "his fundamental work in the analysis of nonlinear dispersive equations" including:
624:
The instability of naked singularities in the gravitational collapse of a scalar field.
544:
476:
451:
283:
1236:
Caffarelli, Luis A. (1977). "The regularity of free boundaries in higher dimensions".
1288:
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334:
262:
1202:
On blow up for the energy super critical defocusing nonlinear Schrödinger equations.
900:
670:
1190:
On the implosion of a compressible fluid I: smooth self-similar inviscid profiles.
273:
The foundations of a theory of the calculus of variations in the large in m-space.
870:
for "his many fundamental contributions to different areas of analysis" including
743:
Global regularity of wave maps I. Small critical Sobolev norm in high dimensions.
137:
There have been thirty-seven prize recipients. The first woman to win the award,
763:
732:
21:
1274:
936:
568:
1257:
1052:
in addition to "his deep contributions to the study of the Yamabe equation."
917:
Global well-posedness of the Benjamin-Ono equation in low-regularity spaces.
851:
Hyperbolic systems of conservation laws. The one-dimensional Cauchy problem.
1151:
The Brownian motion as the limit of a deterministic system of hard-spheres.
1069:
Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces.
555:
Conformal deformation of a Riemannian metric to constant scalar curvature.
1249:
585:
Cylindrical tangent cones and the singular set of minimal submanifolds.
231:
On certain numerical invariants with applications to Abelian varieties.
780:
Gradient estimates and blow-up analysis for stationary harmonic maps.
651:
Space-time estimates for null forms and the local existence theorem.
1196:
On the implosion of a compressible fluid II: singularity formation.
977:
Compression bounds for Lipschitz maps from the Heisenberg group to
749:
Global regularity of wave maps II. Small energy in two dimensions.
810:
Blow up in finite time and dynamics of blow up solutions for the
593:
Calc. Var. Partial Differential Equations 3 (1995), no. 1, 1–65.
718:
On global existence and scattering for the wave maps equations.
857:
Vanishing viscosity solutions of nonlinear hyperbolic systems.
360:
Solution of the inverse problem of the calculus of variations.
15:
1280:
MacTutor History of Mathematics - Winners of the Bôcher Prize
591:
Rectifiability of the singular set of energy minimizing maps.
950:
Ann. of Math. (2) 162 (2005), no. 2, 643–709 [written with
520:
Cauchy integrals on Lipschitz curves and related operators.
1011:
The Calderón problem with partial data in two dimensions.
997:
for "his fundamental work on inverse problems" including
1159:
Mem. Amer. Math. Soc. 253 (2018), no. 1206, vi+105 pp.
774:
Some dynamical properties of Ginzburg-Landau vortices.
645:
The global nonlinear stability of the Minkowski space.
612:
The global nonlinear stability of the Minkowski space.
496:
Bernoulli shifts with the same entropy are isomorphic.
441:
On a conjecture of Littlewood and idempotent measures.
1119:
A restriction estimate using polynomial partitioning.
1035:
Manifolds with 1/4-pinched curvature are space forms.
1097:
Regularity of area minimizing currents III: blow-up.
691:
An improved bound for Kakeya type maximal functions.
660:
Smoothing estimates for null forms and applications.
745:
Internat. Math. Res. Notices (2001), no. 6, 299-328
693:
Rev. Mat. Iberoamericana 11 (1995), no. 3, 651–674.
522:
Proc. Natl. Acad. Sci. U.S.A. 74 (1977), 1324-1327.
46:. Unsourced material may be challenged and removed.
454:for "his work on the index problem" and especially
913:Comm. Pure Appl. Math. 46 (1993), no. 4, 527–620
776:Comm. Pure Appl. Math. 49 (1996), no. 4, 323–359.
408:Proc. Natl. Acad. Sci. U.S.A. 35 (1949), 143-150.
362:Proc. Natl. Acad. Sci. U.S.A. 25 (1939), 631-637.
212:Trans. Amer. Math. Soc. 22 (1921), 1-30, 198-219.
426:for "his work in partial differential equations"
402:Proc. Natl. Acad. Sci. U.S.A. 32 (!946), 111-116
354:The most general form of the problem of Plateau.
1037:J. Amer. Math. Soc. 22 (2009), no. 1, 287–307.
1013:J. Amer. Math. Soc. 23 (2010), no. 3, 655–691
919:J. Amer. Math. Soc. 20 (2007), no. 3, 753–798
751:Comm. Math. Phys. 2244 (2001), no. 2, 443-544.
186:Dynamical systems with two degrees of freedom.
1131:Ann. of Math. (2) 186 (2017), no. 2, 607–640
1121:J. Amer. Math. Soc. 29 (2016), no. 2, 371–413
1099:Ann. of Math. (2) 183 (2016), no. 2, 577–617
1007:Ann. of Math. (2) 165 (2007), no. 2, 567–591
967:Ann. of Math. (2) 168 (2008), no. 1, 247–298
892:Ann. of Math. (2) 164 (2006), no. 1, 313–359.
859:Ann. of Math. (2) 161 (2005), no. 1, 223–342
806:Ann. of Math. (2) 155 (2002), no. 1, 235–280
782:Ann. of Math. (2) 149 (1999), no. 3, 785–829.
620:Ann. of Math. (2) 140 (1994), no. 3, 607–653.
581:Ann. of Math. (2) 118 (1983), no. 3, 525–571.
8:
880:Ann. of Math. (2) 161 (2005), no. 1, 509–577
878:A sharp form of Whitney's extension theorem.
626:Ann. of Math. (2) 149 (1999), no. 1, 183–217
345:Green's function and the problem of Plateau.
150:Journal of the American Mathematical Society
1295:Awards of the American Mathematical Society
973:J. Amer. Math. Soc. 21 (2008), no. 1, 1–21
681:Counterexamples with harmonic gradients in
275:Trans. Amer. Math. Soc. 31 (1929), 379-404.
254:Trans. Amer. Math. Soc. 28 (1926), 301-329.
233:Trans. Amer. Math. Soc. 22 (1921), 407-482.
971:Euclidean distortion and the sparsest cut.
699:Amer. J. Math. 119 (1997), no. 5, 985–1026
320:Trans. Amer. Math. Soc. 36 (1934), 445-294
1153:Invent. Math. 203 (2016), no. 2, 493–553
1093:Invent. Math. 193 (2013), no. 2, 377–407
587:J. Diff. Geom. 38 (1993), no. 3, 585–652.
106:Learn how and when to remove this message
1310:1923 establishments in the United States
1125:A sharp Schrödinger maximal estimate in
827:critical nonlinear Schrödinger equation.
400:Coefficients of schlicht functions. III.
326:Trans. Amer. Math. Soc. 37 (1935), 21-50
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1005:The Calderón problem with partial data.
823:On universality of blow-up profile for
662:Duke Math. J. 81 (1995), no. 1, 99–133
406:Coefficients of schlicht functions. IV.
394:Coefficients of schlicht functions. II.
1047:Acta Math. 211 (2013), no. 2, 177–190.
986:Acta Math. 207 (2011), no. 2, 291–373
720:Amer. J. Math. 123 (2001) no. 1, 37-77
385:Coefficients of schlicht functions. I.
1198:Annals of Mathematics 196 (2022); and
468:The index of elliptic operators. III.
7:
1204:Inventiones Mathematicae 227 (2022).
470:Ann. of Math. (2) 87 (1968), 546-604
464:Ann. of Math. (2) 87 (1968), 484-530
44:adding citations to reliable sources
1091:Dissipative continuous Euler flows.
814:-critical generalized KdV equation.
462:The index of elliptic operators. I.
1071:Invent. Math. 194 (2013), 381-513.
697:A Kakeya-type problem for circles.
443:Amer. J. Math. 82 (1960), 191-212.
14:
1275:AMS Prize - Bôcher Memorial Prize
1192:Annals of Mathematics 196 (2022);
356:Amer. J. Math. 61 (1939), 590-608
948:On metric Ramsey-type phenomena.
884:Whitney's extension problem for
396:Duke Math. J. 12 (1945), 107-125
210:Arithmetical paraphrases. I, II.
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31:needs additional citations for
324:Almost periodic functions. II.
1:
318:Almost periodic functions. I.
252:Combinatorial analysis situs.
124:American Mathematical Society
656:46 (1993), no. 9, 1221–1268
928:201 (2008), no. 2, 147–212
832:156 (2004), no. 3, 565–672
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1300:Awards established in 1923
1217:List of mathematics awards
1045:and the Lawson conjecture.
819:15 (2002), no. 3, 617–664
1041:Embedded minimal tori in
156:Inventiones Mathematicae
602:Demetrios Christodoulou
189:Trans. Amer. Math. Soc.
55:"Bôcher Memorial Prize"
654:Comm. Pure Appl. Math.
486:Donald Samuel Ornstein
1315:Mathematical analysis
242:James W. Alexander II
176:George David Birkhoff
144:Annals of Mathematics
126:in 1923 in memory of
120:Bôcher Memorial Prize
40:improve this article
1140:Laure Saint-Raymond
1083:program" including:
817:J. Amer. Math. Soc.
560:20 (1984), 479-495.
294:Tauberian theorems.
191:18 (1917), 119-300.
139:Laure Saint-Raymond
122:was founded by the
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501:4 (1970), 337-352.
475:both written with
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350:61 (1939), 545-589
1080:Camillo De Lellis
868:Charles Fefferman
635:Sergiu Klainerman
299:33 (1932), 1-100.
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964:
960:Manor Mendel
947:
922:
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901:Carlos Kenig
886:
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877:
856:
850:
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809:
803:
779:
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742:
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696:
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671:Thomas Wolff
659:
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160:
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38:Please help
33:verification
30:
1168:Frank Merle
1059:András Vasy
952:Yair Bartal
794:Frank Merle
764:Lin Fanghua
757:estimates."
733:Terence Tao
1289:Categories
1223:References
1143:including:
1111:including:
937:Assaf Naor
926:Acta Math.
569:Leon Simon
499:Adv. Math.
431:Paul Cohen
297:Ann. Math.
66:newspapers
1258:0001-5962
940:including
726:problems"
96:July 2020
1211:See also
132:analysis
80:scholar
1256:
1178:, and
958:, and
159:, and
147:, the
82:
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1166:2023
1138:2020
1106:2020
1078:2020
1057:2017
1023:2014
993:2011
935:2011
899:2008
866:2008
839:2008
792:2005
762:2002
731:2002
706:2002
669:1999
633:1999
600:1999
567:1994
543:1989
536:1984
529:1984
508:1979
484:1974
450:1969
429:1964
422:1959
415:1953
369:1948
333:1943
306:1938
282:1933
261:1933
240:1928
219:1924
198:1924
174:1923
87:JSTOR
73:books
1254:ISSN
843:for:
637:for:
604:for:
571:for:
373:and
118:The
59:news
1246:doi
1242:139
1061:for
766:for
735:for
710:for
488:for
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