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convergence" of a sequence of pointed metric spaces to a limit. Gromov formulated an important compactness theorem in this setting, giving a condition under which a sequence of pointed and "proper" metric spaces must have a subsequence which converges. This was later reformulated by Gromov and others into the more flexible notion of an
642:, various rigidity phenomena had been deduced from the combination of an existence theorem for harmonic mappings together with a vanishing theorem asserting that (certain) harmonic mappings must be totally geodesic or holomorphic. Gromov had the insight that the extension of this program to the setting of mappings into
988:
with the structure of a metric space. More generally, one can define the Gromov-Hausdorff distance between two metric spaces, relative to the choice of a point in each space. Although this does not give a metric on the space of all metric spaces, it is sufficient in order to define "Gromov-Hausdorff
1161:
and Gromov developed some of the basic theory for symplectic notions of convexity. They introduce various specific notions of convexity, all of which are concerned with the existence of one-parameter families of diffeomorphisms which contract the symplectic form. They show that convexity is an
707:
Riemannian manifold has
Riemannian metrics whose sectional curvatures are arbitrarily close to zero. Gromov showed that if the scaling possibility is broken by only considering Riemannian manifolds of a fixed diameter, then a closed manifold admitting such a Riemannian metric, with sectional
854:
to control the injectivity radius in absolute terms by curvature bounds and volumes of geodesic balls. Their estimate has been used in a number of places where the construction of coordinates is an important problem. A particularly well-known instance of this is to show that
1122:
encoding the bubbling allowed Gromov to arrive at a number of analytically deep conclusions on existence of pseudo-holomorphic curves. A particularly famous result of Gromov's, arrived at as a consequence of the existence theory and the monotonicity formula for
882:. Systolic geometry studies the relationship between size invariants (such as volume or diameter) of a manifold M and its topologically non-trivial submanifolds (such as non-contractible curves). In his 1983 paper "Filling Riemannian manifolds" Gromov
605:
phenomena. They defined a "Lévy family" as a sequence of normalized metric measure spaces in which any asymptotically nonvanishing sequence of sets can be metrically thickened to include almost every point. This closely mimics the phenomena of the
1008:, by taking the limit of well-chosen rescalings of the metric. By tracking the limits of isometries of the word metric, he was able to show that the limiting metric space has unexpected continuities, and in particular that its isometry group is a
822:
arguments could be applied to control the topology of the underlying manifold. The topology of lower bounds on sectional curvature is still not fully understood, and Gromov's work remains as a primary result. As an application of
610:, and in fact the law of large numbers can be put into the framework of Lévy families. Gromov and Milman developed the basic theory of Lévy families and identified a number of examples, most importantly coming from sequences of
622:
diverge to infinity. They also highlighted a feature of Lévy families in which any sequence of continuous functions must be asymptotically almost constant. These considerations have been taken further by other authors, such as
658:
carried out the analytical work to extend the harmonic map theory to the metric space setting; this was subsequently done more systematically by
Nicholas Korevaar and Schoen, establishing extensions of most of the standard
2776:. Proceedings of the Thirty-Seventh Annual Summer Research Institute held at the University of California (Santa Cruz, CA, 10–30 July 1989). Proceedings of Symposia in Pure Mathematics. Vol. 52. Providence, RI:
6255:
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Bando, Shigetoshi; Kasue, Atsushi; Nakajima, Hiraku. On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth. Invent. Math. 97 (1989), no. 2, 313–349.
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Cao, Huai-Dong; Zhu, Xi-Ping. A complete proof of the
Poincaré and geometrization conjectures—application of the Hamilton-Perelman theory of the Ricci flow. Asian J. Math. 10 (2006), no. 2, 165–492.
6195:
970:
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419:, and his mother, who worked as a medical doctor in the Soviet Army, had to leave the front line in order to give birth to him. When Gromov was nine years old, his mother gave him the book
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175:
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Disagreeing with the Soviet system, he had been thinking of emigrating since the age of 14. In the early 1970s he ceased publication, hoping that this would help his application to
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Witten, Edward Two-dimensional gravity and intersection theory on moduli space. Surveys in differential geometry (Cambridge, MA, 1990), 243–310, Lehigh Univ., Bethlehem, PA, 1991.
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2061:. Proceedings of the 1978 Stony Brook Conference (State University of New York, Stony Brook, NY, 5–9 June 1978). Annals of Mathematics Studies. Vol. 97. Princeton, NJ:
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and Yau were able to apply their gradient estimates to find similar Betti number estimates which are weaker than Gromov's but allow the manifold to have convex boundary.
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Eliashberg, Y.; Givental, A.; Hofer, H. Introduction to symplectic field theory. GAFA 2000 (Tel Aviv, 1999). Geom. Funct. Anal. 2000, Special Volume, Part II, 560–673.
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1984:
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cannot support any
Riemannian metric of positive scalar curvature, which had been a major conjecture previously resolved by Schoen and Yau in low dimensions.
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1118:. In the time since Sacks, Uhlenbeck, and Gromov's work, such bubbling phenomena has been found in a number of other geometric contexts. The corresponding
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gave another proof of Schoen and Yau's results, making use of elementary geometric constructions. They also showed how purely topological results such as
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3648:математику, историку математики и популяризатору науки Исааку Моисеевичу Рабиновичу (род. 1911), автору книг «Математик Пирс Боль из Риги» (совместно с
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1020:. Using ultralimits, similar asymptotic structures can be studied for more general metric spaces. Important developments on this topic were given by
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Gromov's style of geometry often features a "coarse" or "soft" viewpoint, analyzing asymptotic or large-scale properties. He is also interested in
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Bourgeois, F.; Eliashberg, Y.; Hofer, H.; Wysocki, K.; Zehnder, E. Compactness results in symplectic field theory. Geom. Topol. 7 (2003), 799–888.
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Korevaar, Nicholas J.; Schoen, Richard M. Sobolev spaces and harmonic maps for metric space targets. Comm. Anal. Geom. 1 (1993), no. 3-4, 561–659.
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462:. He changed his last name to that of his mother. He received a coded letter saying that, if he could get out of the Soviet Union, he could go to
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Riemannian manifolds of positive or negative curvature. After this initial work, he developed further h-principles partly in collaboration with
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466:, where a position had been arranged for him. When the request was granted in 1974, he moved directly to New York and worked at Stony Brook.
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Global differential geometry and global analysis (Berlin, 1979), pp. 82–93, Lecture Notes in Math., 838, Springer, Berlin-New York, 1981.
3885:. Encyclopaedia of Mathematical Sciences. Vol. 6. Translated by Iacob, A. (Translation of 1988 Russian original ed.). Berlin:
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smooth manifold of dimension 5, 6, or 7 has a
Riemannian metric of positive scalar curvature. They further introduced the new class of
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where he obtained a master's degree in 1965, a doctorate in 1969 and defended his postdoctoral thesis in 1973. His thesis advisor was
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2126:"Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds"
524:
in various formulations. Modeled upon the special case of the Hirsch–Smale theory, he introduced and developed the general theory of
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Anderson, Michael T. Ricci curvature bounds and
Einstein metrics on compact manifolds. J. Amer. Math. Soc. 2 (1989), no. 3, 455–490.
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and
Katsuhiro Shiohama's Morse theory for the Riemannian distance function, with control of the distance function obtained from the
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Katz, M. Systolic geometry and topology. With an appendix by J. Solomon. Mathematical
Surveys and Monographs, volume 137.
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Tian, G. On Calabi's conjecture for complex surfaces with positive first Chern class. Invent. Math. 101 (1990), no. 1, 101–172.
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838:'s fundamental compactness theory for Riemannian manifolds, a key step in constructing coordinates on the limiting space is an
238:
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532:. As a consequence (among other results) he was able to establish the existence of positively curved and negatively curved
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on volume of geodesic balls. This resulted in topologically controlled covers of the manifold by geodesic balls, to which
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Li, Peter; Yau, Shing-Tung. On the parabolic kernel of the Schrödinger operator. Acta Math. 156 (1986), no. 3-4, 153–201.
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815:
455:, France. However, he was not allowed to leave the USSR. Still, his lecture was published in the conference proceedings.
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Hamilton, Richard S. A compactness property for solutions of the Ricci flow. Amer. J. Math. 117 (1995), no. 3, 545–572.
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3043:. Symposium held at Sussex University (Sussex, July 1991). London Mathematical Society Lecture Note Series. Cambridge:
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1106:. Although he was not the first to consider pseudo-holomorphic curves, he uncovered a "bubbling" phenomena paralleling
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147:
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Sacks, J.; Uhlenbeck, K. The existence of minimal immersions of 2-spheres. Ann. of Math. (2) 113 (1981), no. 1, 1–24.
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3656:«О шахматной игре П. Г. Боля», 1965), «Строптивая производная» (1968) и др. Троюродный брат М. Громова – известный
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4039:. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 56 (Second edition of 2011 original ed.).
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Grove, Karsten; Shiohama, Katsuhiro A generalized sphere theorem. Ann. of Math. (2) 106 (1977), no. 2, 201–211.
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Eells, James, Jr.; Sampson, J. H. Harmonic mappings of
Riemannian manifolds. Amer. J. Math. 86 (1964), 109–160.
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2433:
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875:, although these estimates were later improved by Li and Yau as an application of their gradient estimates.
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211:
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Floer, Andreas. Morse theory for
Lagrangian intersections. J. Differential Geom. 28 (1988), no. 3, 513–547.
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Séminaire Bourbaki (1978/79), Exp. No. 526, pp. 21–35, Lecture Notes in Math., 770, Springer, Berlin, 1980.
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594:. His work initiated a renewed study of the Oka–Grauert theory, which had been introduced in the 1950s.
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Uhlenbeck, Karen K. Connections with Lp bounds on curvature. Comm. Math. Phys. 83 (1982), no. 1, 31–42.
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867:'s compactness theory. Cheeger, Gromov, and Taylor applied their injectivity radius estimate to prove
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Giroux, Emmanuel. Convexité en topologie de contact. Comment. Math. Helv. 66 (1991), no. 4, 637–677.
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562:. There are many applications of his results, including topological conditions for the existence of
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is topologically rich. In particular, they showed that this class is closed under the operation of
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407:. His father Leonid Gromov was Russian-Slavic and his mother Lea was of Jewish heritage. Both were
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3243:. Proceedings of the meeting held at Tel Aviv University, Tel Aviv, 25 August – 3 September 1999.
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whatsoever. His result is in counterpoint to the well-known topological restrictions (such as the
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2967:"Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one"
1520:. Progress in Mathematics. Vol. 152. Translated by Bates, Sean Michael. With appendices by
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159:
119:
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Cheeger, Jeff. Finiteness theorems for Riemannian manifolds. Amer. J. Math. 92 (1970), 61–74.
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The complex-analyticity of harmonic maps and the strong rigidity of compact Kähler manifolds.
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in the Gromov–Hausdorff metric. The possible limit points of sequences of such manifolds are
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2017:
1993:
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1131:," which provided a striking qualitative feature of symplectic geometry. Following ideas of
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501:, the structure of the brain and the thinking process, and the way scientific ideas evolve.
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must be finitely covered by a sphere. In contrast, it can be seen by scaling that every
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Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un.
4342:
Grisha Perelman. The entropy formula for the Ricci flow and its geometric applications.
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3986:. American Mathematical Society Colloquium Publications. Vol. 59. Providence, RI:
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1979:
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415:, as well as of the mathematician Isaak Moiseevich Rabinovich. Gromov was born during
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2013:
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Stein manifolds and holomorphic mappings. The homotopy principle in complex analysis
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3642:Воспоминания Владимира Рабиновича (генеалогия семьи М. Громова по материнской линии
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2294:"Positive scalar curvature and the Dirac operator on complete Riemannian manifolds"
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Talagrand, Michel A new look at independence. Ann. Probab. 24 (1996), no. 1, 1–34.
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3984:
From Stein to Weinstein and back. Symplectic geometry of affine complex manifolds
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1151:. From a different perspective, Gromov's work was also inspirational for much of
364:; born 23 December 1943) is a Russian-French mathematician known for his work in
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2640:. Mathematical Sciences Research Institute Publications. Vol. 8. New York:
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1849:"The classification of simply connected manifolds of positive scalar curvature"
1775:(1980). "Spin and scalar curvature in the presence of a fundamental group. I".
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Newsletter of the European Mathematical Society, No. 73, September 2009, p. 19
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collects most of his work on these problems. Later, he applied his methods to
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Gromov married in 1967. In 1970, he was invited to give a presentation at the
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3644:. Лия Александровна Рабинович также приходится двоюродной сестрой известному
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1458:. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 9. Berlin:
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theory. A sample application of Gromov and Schoen's methods is the fact that
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where he remains today. At the same time, he has held professorships at the
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Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings.
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3304:
2785:
2504:"Collapsing Riemannian manifolds while keeping their curvature bounded. I"
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Geometric group theory, Vol. 2: Asymptotic invariants of infinite groups
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Publications Mathématiques de l'Institut des Hautes Études Scientifiques
2299:
Publications Mathématiques de l'Institut des Hautes Études Scientifiques
2189:
Publications Mathématiques de l'Institut des Hautes Études Scientifiques
1985:
Publications Mathématiques de l'Institut des Hautes Études Scientifiques
5243:
4196:
3995:
3178:
3159:
2984:
2454:
2390:
2311:
1997:
1933:
1877:
1798:
3946:
1653:
Gromov, M. L. (1969). "Stable mappings of foliations into manifolds".
771:
could then be applied to draw conclusions such as the fact that every
751:
in codimension at least three. Their proof used elementary methods of
3730:. Courant Institute of Mathematical Sciences. Spring 2009. p. 1.
708:
curvatures sufficiently close to zero, must be finitely covered by a
459:
433:, a book that piqued his curiosity and had a great influence on him.
20:
4149:
Astérisque, 81. Société Mathématique de France, Paris, 1981. 148 pp.
3360:
Memarian, Yashar (2011). "On Gromov's waist of the sphere theorem".
2382:
1869:
1790:
699:
which are all sufficiently close to a given positive constant, then
787:. They showed that Riemannian metrics of positive scalar curvature
3374:
2901:(1992). "A. D. Aleksandrov spaces with curvatures bounded below".
1174:; the existence of convex contact structures was later studied by
792:
558:, including work building upon Nash and Kuiper's theorem and the
863:, which controls volume, is sufficient to allow applications of
798:
In 1981, Gromov identified topological restrictions, based upon
452:
5812:
5587:
5247:
4778:
4750:
2428:
996:
Gromov's compactness theorem had a deep impact on the field of
489:
in New York since 1996. He adopted French citizenship in 1992.
4245:. Princeton Mathematical Series. Vol. 38. Princeton, NJ:
4181:"On the structure of manifolds with positive scalar curvature"
4180:
2698:"Oka's principle for holomorphic sections of elliptic bundles"
1283:: 1970 (Nice), 1978 (Helsinki), 1983 (Warsaw), 1986 (Berkeley)
791:
exist on such manifolds. A particular consequence is that the
4160:
The Bieberbach case in Gromov's almost flat manifold theorem.
1000:. He applied it to understand the asymptotic geometry of the
4399:
Inst. Hautes Études Sci. Publ. Math. No. 86 (1997), 115–197.
1532:. (Based on the 1981 French original ed.). Boston, MA:
1016:
as posed in the 1960s, which asserts that any such group is
909:
with a Riemannian metric contains a closed non-contractible
2362:"A topological application of the isoperimetric inequality"
1589:
Great circle of mysteries. Mathematics, the world, the mind
391:
in 2009 "for his revolutionary contributions to geometry".
4629:
Metric structures for Riemannian and non-Riemannian spaces
3660:адвокат и общественный деятель Александр Жанович Бергман (
1517:
Metric structures for Riemannian and non-Riemannian spaces
4751:
Personal page at Institut des Hautes Études Scientifiques
1269:
in 2009 "for his revolutionary contributions to geometry"
4512:| National Academy of sciences of Ukraine, communication
3241:
Visions in mathematics: GAFA 2000 Special Volume, Part I
6256:
Members of the Norwegian Academy of Science and Letters
4523:
Mikhaël Gromov — Membre de l’Académie des sciences
976:
Gromov−Hausdorff convergence and geometric group theory
6191:
Foreign associates of the National Academy of Sciences
2774:
Several complex variables and complex geometry. Part 2
1399:. Progress in Mathematics. Vol. 61. Boston, MA:
919:
895:
3098:. In Bellaïche, André; Risler, Jean-Jacques (eds.).
411:. His mother was the cousin of World Chess Champion
6095:
5854:
5180:
5097:
5022:
4945:
4844:
4813:
2429:"Pseudo holomorphic curves in symplectic manifolds"
720:. Gromov's proof was given a careful exposition by
477:and in 1982 he became a permanent professor at the
317:
305:
291:
283:
233:
107:
96:
88:
56:
30:
6196:Foreign members of the Russian Academy of Sciences
4112:Archimedean superrigidity and hyperbolic geometry.
3305:"Isoperimetry of waists and concentration of maps"
964:
901:
4501:Professor Mikhail Gromov ForMemRS | Royal Society
3440:L'Enseignement Mathématique. Revue Internationale
3102:. Progress in Mathematics. Vol. 144. Basel:
3039:. In Niblo, Graham A.; Roller, Martin A. (eds.).
1102:is one of the foundations of the modern study of
965:{\displaystyle C(n)\operatorname {Vol} (M)^{1/n}}
850:localized Cheeger's estimate, showing how to use
802:, on manifolds which admit Riemannian metrics of
712:. The proof works by replaying the proofs of the
3616:. Springer Berlin Heidelberg. pp. 129–137.
1980:"Groups of polynomial growth and expanding maps"
1166:to hold for the problem of constructing certain
1139:, which is a widely studied topic reaching into
806:. The principal idea of his work was to combine
695:says that if a complete Riemannian manifold has
172:Gromov's inequality for complex projective space
4554:, by W. Ballmann, M. Gromov & V. Schroeder"
3472:
3421:
3294:
3207:
3160:"Endomorphisms of symbolic algebraic varieties"
3149:
3082:
3020:
2952:
2885:
2823:
2745:
2687:
2616:
2551:
2490:
2418:
2347:
2279:
2221:
2173:
2108:
2033:
1969:
1905:
1834:
1762:
1704:
1644:
1578:
1505:
1445:
1383:
399:Mikhail Gromov was born on 23 December 1943 in
136:Gromov's theorem on groups of polynomial growth
3695:"Mikhaïl Gromov, le génie qui venait du froid"
528:, proving that they satisfy an h-principle on
506:Nash and Kuiper's isometric embedding theorems
5824:
5599:
5259:
4790:
4114:Ann. of Math. (2) 135 (1992), no. 1, 165–182.
3721:"Mikhael Gromov Receives the 2009 Abel Prize"
3610:Helge Holden; Ragni Piene (3 February 2014).
3093:"Carnot-Carathéodory spaces seen from within"
1395:; Gromov, Mikhael; Schroeder, Viktor (1985).
1012:. As a consequence he was able to settle the
387:Gromov has won several prizes, including the
8:
6276:University of Maryland, College Park faculty
4134:Report on M. Gromov's almost flat manifolds.
4101:Ann. of Math. (2) 112 (1980), no. 1, 73–111.
3165:Journal of the European Mathematical Society
2703:Journal of the American Mathematical Society
1170:. They also introduced analogous notions in
1114:, and Uhlenbeck and Jonathan Sack's work on
380:in France and a professor of mathematics at
3608:Gromov, Mikhail. "A Few Recollections", in
1193:Prize of the Mathematical Society of Moscow
739:which admit Riemannian metrics of positive
5831:
5817:
5809:
5606:
5592:
5584:
5266:
5252:
5244:
4797:
4783:
4775:
4386:Ann. of Math. (2) 129 (1989), no. 1, 1–60.
3034:"Asymptotic invariants of infinite groups"
2044:"Hyperbolic manifolds, groups and actions"
1211:de l'Academie des Sciences de Paris (1984)
878:Gromov made foundational contributions to
487:Courant Institute of Mathematical Sciences
45:
27:
6251:Members of the French Academy of Sciences
4683:
4646:
4609:
4569:
3688:
3686:
3684:
3546:
3500:
3373:
3322:
3177:
2855:
2715:
2586:
2521:
2249:
2143:
1732:
952:
948:
918:
894:
683:In 1978, Gromov introduced the notion of
19:For other people with the same name, see
4293:
4291:
3741:
3739:
3737:
1296:Norwegian Academy of Science and Letters
1281:International Congress of Mathematicians
1135:, Gromov's work is also fundamental for
479:Institut des Hautes Études Scientifiques
449:International Congress of Mathematicians
378:Institut des Hautes Études Scientifiques
296:Institut des Hautes Études Scientifiques
6226:French people of Russian-Jewish descent
3802:MacTutor History of Mathematics Archive
3601:
2764:. In Bedford, Eric; D'Angelo, John P.;
1916:"Curvature, diameter and Betti numbers"
1304:National Academy of Sciences of Ukraine
1215:Prix de l'Union des Assurances de Paris
132:Gromov's compactness theorem (topology)
128:Gromov's compactness theorem (geometry)
3628:(also available on Gromov's homepage:
1229:for Seminal Contribution to Research (
630:Since the seminal 1964 publication of
3835:
3833:
3672:
3670:
1292:American Academy of Arts and Sciences
7:
6266:Foreign members of the Royal Society
4770:Anatoly Vershik, "Gromov's Geometry"
3527:Silberman, L. (2003). "Addendum to:
3432:"On the entropy of holomorphic maps"
560:Nash–Moser implicit function theorem
483:University of Maryland, College Park
6241:Wolf Prize in Mathematics laureates
3693:Foucart, Stéphane (26 March 2009).
2059:Riemann surfaces and related topics
582:, proving certain instances of the
6221:21st-century French mathematicians
6216:20th-century French mathematicians
4721:Encounter with a Geometer, Part II
4552:Manifolds of nonpositive curvature
4484:"2009: Mikhail Leonidovich Gromov"
1397:Manifolds of nonpositive curvature
1362:Ramsey–Dvoretzky–Milman phenomenon
1086:, Gromov introduced the notion of
1035:, stating that the set of compact
783:, distinguished by a condition in
14:
6201:Kyoto laureates in Basic Sciences
4708:Encounter with a Geometer, Part I
4395:Bruce Kleiner and Bernhard Leeb.
4158:Peter Buser and Hermann Karcher.
4145:Peter Buser and Hermann Karcher.
3764:Ripka, Georges (1 January 2002).
3534:Geometric and Functional Analysis
3488:Geometric and Functional Analysis
3310:Geometric and Functional Analysis
3245:Geometric and Functional Analysis
2717:10.1090/S0894-0347-1989-1001851-9
2569:-cohomology and group cohomology"
1921:Commentarii Mathematici Helvetici
1656:Mathematics of the USSR-Izvestiya
6181:Russian people of Jewish descent
5227:
4737:
3937:. Vol. 48. Providence, RI:
3797:"Mikhael Gromov (mathematician)"
3362:Journal of Topology and Analysis
2843:Journal of Differential Geometry
2509:Journal of Differential Geometry
2237:Journal of Differential Geometry
2131:Journal of Differential Geometry
1720:Journal of Differential Geometry
614:in which the lower bound of the
5616:Oswald Veblen Prize in Geometry
4611:10.1090/s0273-0979-1988-15654-6
4571:10.1090/s0273-0979-1987-15603-5
4147:Gromov's almost flat manifolds.
3935:Graduate Studies in Mathematics
3931:Introduction to the h-principle
3841:"Interview with Mikhail Gromov"
3767:Vivre savant sous le communisme
3751:"Science Lives: Mikhail Gromov"
2917:10.1070/RM1992v047n02ABEH000877
2370:American Journal of Mathematics
2184:"Volume and bounded cohomology"
1677:10.1070/im1969v003n04abeh000796
1251:in Mathematical Sciences (2002)
1199:Oswald Veblen Prize in Geometry
980:In 1981, Gromov introduced the
859:'s "noncollapsing theorem" for
852:Bishop−Gromov volume comparison
804:nonnegative sectional curvature
755:, in particular to do with the
618:or the first eigenvalue of the
239:Oswald Veblen Prize in Geometry
4592:Partial differential relations
3483:"Random walk in random groups"
3041:Geometric group theory. Vol. 2
2232:"Filling Riemannian manifolds"
1456:Partial differential relations
984:, which endows the set of all
945:
938:
929:
923:
753:partial differential equations
689:quarter-pinched sphere theorem
576:Partial Differential Relations
485:from 1991 to 1996, and at the
436:Gromov studied mathematics at
376:. He is a permanent member of
1:
4765:Mathematics Genealogy Project
4685:10.1090/s0273-0979-96-00669-6
4672:Bull. Amer. Math. Soc. (N.S.)
4648:10.1090/s0273-0979-01-00904-1
4635:Bull. Amer. Math. Soc. (N.S.)
4598:Bull. Amer. Math. Soc. (N.S.)
4558:Bull. Amer. Math. Soc. (N.S.)
4472:Gromov Receives Nemmers Prize
4371:American Mathematical Society
3988:American Mathematical Society
3939:American Mathematical Society
2778:American Mathematical Society
2759:"Convex symplectic manifolds"
669:quaternionic hyperbolic space
667:in the isometry group of the
3820:"Mikhail Leonidovich Gromov"
3652:и с приложением комментария
3529:Random walk in random groups
2904:Russian Mathematical Surveys
2588:10.1016/0040-9383(86)90039-X
1288:National Academy of Sciences
1255:Nemmers Prize in Mathematics
1033:Gromov's compactness theorem
812:Toponogov comparison theorem
542:Cheeger–Gromoll soul theorem
422:The Enjoyment of Mathematics
259:Nemmers Prize in Mathematics
176:Gromov's systolic inequality
140:Gromov–Hausdorff convergence
16:Russian-French mathematician
6236:New York University faculty
6186:Russian emigrants to France
3257:10.1007/978-3-0346-0422-2_5
3112:10.1007/978-3-0348-9210-0_2
1162:appropriate context for an
646:would imply new results on
564:exact Lagrangian immersions
362:Михаи́л Леони́дович Гро́мов
6297:
5628:Christos Papakyriakopoulos
4744:Mikhail Leonidovich Gromov
4247:Princeton University Press
4035:Forstnerič, Franc (2017).
3045:Cambridge University Press
2834:"Kähler hyperbolicity and
2757:; Gromov, Mikhael (1991).
2563:; Gromov, Mikhael (1986).
2502:; Gromov, Mikhael (1986).
2063:Princeton University Press
1332:Cartan–Hadamard conjecture
1311:French Academy of Sciences
1006:group of polynomial growth
601:gave a formulation of the
438:Leningrad State University
346:Mikhael Leonidovich Gromov
101:Leningrad State University
18:
5622:
5282:
5223:
4807:Wolf Prize in Mathematics
4535:"Turán Memorial Lectures"
4049:10.1007/978-3-319-61058-0
3895:10.1007/978-3-642-58009-3
3475:
3424:
3384:10.1142/S1793525311000507
3352:10.1007/s00039-009-0703-1
3297:
3210:
3152:
3085:
3023:
2955:
2888:
2826:
2748:
2690:
2650:10.1007/978-1-4613-9586-7
2619:
2554:
2493:
2421:
2350:
2282:
2224:
2176:
2111:
2071:10.1515/9781400881550-016
2036:
1972:
1908:
1837:
1765:
1707:
1647:
1601:10.1007/978-3-319-53049-9
1581:
1541:10.1007/978-0-8176-4583-0
1508:
1468:10.1007/978-3-662-02267-2
1448:
1408:10.1007/978-1-4684-9159-3
1386:
1352:Taubes's Gromov invariant
1221:Wolf Prize in Mathematics
735:showed that the class of
620:Laplace–Beltrami operator
361:
339:
276:
156:Gromov δ-hyperbolic space
44:
37:
6176:People from Boksitogorsk
6171:Jewish French scientists
5345:S. R. Srinivasa Varadhan
4662:Toledo, Domingo (1996).
4239:Michelsohn, Marie-Louise
3929:; Mishachev, N. (2002).
3856:(3): 391–403, March 2010
3807:University of St Andrews
3613:The Abel Prize 2008–2012
3430:Gromov, Mikhaïl (2003).
3091:Gromov, Mikhael (1996).
2434:Inventiones Mathematicae
2230:Gromov, Mikhael (1983).
2182:Gromov, Michael (1982).
1978:Gromov, Mikhael (1981).
1914:Gromov, Michael (1981).
1454:Gromov, Mikhael (1986).
1100:pseudoholomorphic curves
816:Bishop–Gromov inequality
603:concentration of measure
520:, Gromov introduced the
180:Bishop–Gromov inequality
38:
4625:Grove, Karsten (2001).
4548:Heintze, Ernst (1987).
4185:Manuscripta Mathematica
3100:Sub-Riemannian geometry
1715:"Almost flat manifolds"
1534:Birkhäuser Boston, Inc.
1401:Birkhäuser Boston, Inc.
1357:Mostow rigidity theorem
1337:Cartan–Hadamard theorem
1031:Another consequence is
982:Gromov–Hausdorff metric
846:. Cheeger, Gromov, and
566:and similar objects in
546:Cartan–Hadamard theorem
473:to join the faculty of
212:Pseudoholomorphic curve
192:Filling area conjecture
152:Gromov hyperbolic group
148:Gromov–Witten invariant
6211:Russian mathematicians
6206:Differential geometers
5234:Mathematics portal
4957:Ilya Piatetski-Shapiro
3218:"Spaces and questions"
3216:Gromov, Misha (2000).
2857:10.4310/jdg/1214446039
2638:Essays in group theory
2523:10.4310/jdg/1214440117
2251:10.4310/jdg/1214509283
2145:10.4310/jdg/1214436699
1734:10.4310/jdg/1214434488
1587:Gromov, Misha (2018).
1514:Gromov, Misha (1999).
1347:Lévy–Gromov inequality
1286:Foreign member of the
1245:for Mathematics (1999)
1112:Yang–Mills connections
1014:Milnor-Wolf conjecture
998:geometric group theory
966:
903:
652:Margulis superrigidity
574:. His well-known book
475:University of Paris VI
471:Stony Brook University
112:Geometric group theory
6271:Soviet mathematicians
5780:Fernando Codá Marques
5167:Jean-François Le Gall
4746:at Wikimedia Commons
4727:, Volume 47, Number 3
4716:, Volume 47, Number 2
4235:Lawson, H. Blaine Jr.
3882:Singularity theory. I
3557:10.1007/s000390300003
3502:10.1007/s000390300002
3324:10.1007/s000390300004
2290:Lawson, H. Blaine Jr.
1857:Annals of Mathematics
1845:Lawson, H. Blaine Jr.
1778:Annals of Mathematics
1773:Lawson, H. Blaine Jr.
1227:Leroy P. Steele Prize
1129:non-squeezing theorem
1071:studied in detail by
1024:, Bernhard Leeb, and
967:
904:
781:enlargeable manifolds
724:and Hermann Karcher.
685:almost flat manifolds
551:geodesically complete
526:microflexible sheaves
208:Non-squeezing theorem
6261:Abel Prize laureates
6033:Konstantin Novoselov
5446:John Forbes Nash Jr.
5084:Phillip A. Griffiths
4922:Friedrich Hirzebruch
4756:Personal page at NYU
4594:, by Mikhael Gromov"
3793:Robertson, Edmund F.
3770:(in French). Belin.
3753:. Simons Foundation.
3749:(22 December 2014).
3251:. pp. 118–161.
2780:. pp. 135–162.
2065:. pp. 183–213.
1367:Systoles of surfaces
1137:Gromov-Witten theory
1037:Riemannian manifolds
917:
893:
814:, together with the
697:sectional curvatures
612:Riemannian manifolds
608:law of large numbers
499:mathematical biology
184:Asymptotic dimension
6123:Phillip Allen Sharp
5708:Richard S. Hamilton
5674:James Harris Simons
5157:Alexander Beilinson
3791:O'Connor, John J.;
3481:Gromov, M. (2003).
3303:Gromov, M. (2003).
3158:Gromov, M. (1999).
3106:. pp. 79–323.
2832:Gromov, M. (1991).
2786:10.1090/pspum/052.2
2696:Gromov, M. (1989).
2644:. pp. 75–263.
2627:"Hyperbolic groups"
2625:Gromov, M. (1987).
2447:1985InMat..82..307G
2427:Gromov, M. (1985).
2120:; Gromov, Mikhail;
2042:Gromov, M. (1981).
1713:Gromov, M. (1978).
1669:1969IzMat...3..671G
1342:Collapsing manifold
1316:Delivered the 2007
1279:Invited speaker to
1149:symplectic geometry
1120:compactness theorem
1110:'s earlier work on
1104:symplectic geometry
1098:Gromov's theory of
1094:Symplectic geometry
1018:virtually nilpotent
769:h-cobordism theorem
693:Riemannian geometry
679:Riemannian geometry
508:and the results on
382:New York University
300:New York University
116:Symplectic geometry
6281:Russian scientists
5979:David Manolopoulos
5726:Michael J. Hopkins
5614:Recipients of the
5511:Hillel Furstenberg
5188:Simon K. Donaldson
5115:Michael Aschbacher
5074:Hillel Furstenberg
4197:10.1007/BF01647970
3875:; Lyashko, O. V.;
3849:Notices of the AMS
3179:10.1007/PL00011162
3047:. pp. 1–295.
2985:10.1007/bf02699433
2455:10.1007/BF01388806
2312:10.1007/BF02953774
1998:10.1007/BF02698687
1934:10.1007/BF02566208
1320:Memorial Lectures.
1168:symplectomorphisms
1145:algebraic geometry
1057:relatively compact
962:
913:of length at most
899:
888:essential manifold
840:injectivity radius
714:Bieberbach theorem
586:on deformation of
534:Riemannian metrics
188:Essential manifold
144:Gromov–Ruh theorem
92:Russian and French
6148:
6147:
5962:Steffen Lauritzen
5806:
5805:
5760:William Minicozzi
5581:
5580:
5292:Jean-Pierre Serre
5241:
5240:
5204:Ingrid Daubechies
5161:Vladimir Drinfeld
5151:Charles Fefferman
5034:Jean-Pierre Serre
4882:Shiing-Shen Chern
4856:Andrey Kolmogorov
4805:Laureates of the
4742:Media related to
4132:Hermann Karcher.
4058:978-3-319-61057-3
4005:978-0-8218-8533-8
3980:Eliashberg, Yakov
3623:978-3-642-39448-5
3591:
3590:
3469:
3468:
3418:
3417:
3291:
3290:
3266:978-3-0346-0421-5
3204:
3203:
3146:
3145:
3079:
3078:
3017:
3016:
2961:Gromov, Mikhail;
2949:
2948:
2882:
2881:
2820:
2819:
2770:Krantz, Steven G.
2766:Greene, Robert E.
2755:Eliashberg, Yakov
2742:
2741:
2684:
2683:
2613:
2612:
2548:
2547:
2487:
2486:
2415:
2414:
2344:
2343:
2288:Gromov, Mikhael;
2276:
2275:
2218:
2217:
2170:
2169:
2105:
2104:
2030:
2029:
1966:
1965:
1902:
1901:
1860:. Second Series.
1843:Gromov, Mikhael;
1831:
1830:
1781:. Second Series.
1771:Gromov, Mikhael;
1759:
1758:
1701:
1700:
1635:
1634:
1610:978-3-319-53048-2
1575:
1574:
1502:
1501:
1442:
1441:
1302:(2011), and the
1237:Lobachevsky Medal
1182:Prizes and honors
1088:hyperbolic groups
1061:Alexandrov spaces
902:{\displaystyle M}
880:systolic geometry
820:spectral sequence
413:Mikhail Botvinnik
343:
342:
326:François Labourie
318:Doctoral students
278:Scientific career
120:Systolic geometry
6288:
6133:Thomas A. Steitz
5984:Gerhard Materlik
5957:Robert Kennicutt
5833:
5826:
5819:
5810:
5738:Peter Kronheimer
5722:Yakov Eliashberg
5692:Michael Freedman
5668:William Thurston
5608:
5601:
5594:
5585:
5569:Michel Talagrand
5516:Grigory Margulis
5487:Robert Langlands
5357:John G. Thompson
5333:Lennart Carleson
5268:
5261:
5254:
5245:
5232:
5231:
5192:Yakov Eliashberg
5088:David B. Mumford
5060:Grigory Margulis
4989:Robert Langlands
4967:John G. Thompson
4963:Lennart Carleson
4932:Alberto Calderón
4902:Samuel Eilenberg
4892:Kunihiko Kodaira
4799:
4792:
4785:
4776:
4741:
4719:Marcel Berger, "
4690:
4689:
4687:
4659:
4653:
4652:
4650:
4622:
4616:
4615:
4613:
4582:
4576:
4575:
4573:
4545:
4539:
4538:
4531:
4525:
4520:
4514:
4509:
4503:
4498:
4492:
4491:
4488:www.abelprize.no
4480:
4474:
4469:
4463:
4460:
4454:
4451:
4445:
4442:
4436:
4433:
4427:
4424:
4418:
4415:
4409:
4406:
4400:
4393:
4387:
4380:
4374:
4367:
4361:
4358:
4352:
4349:
4343:
4340:
4334:
4331:
4325:
4322:
4316:
4313:
4307:
4304:
4298:
4295:
4286:
4283:
4277:
4276:
4231:
4225:
4224:
4191:(1–3): 159–183.
4169:
4163:
4156:
4150:
4143:
4137:
4130:
4124:
4121:
4115:
4110:Kevin Corlette.
4108:
4102:
4095:
4089:
4086:
4080:
4077:
4071:
4070:
4032:
4026:
4025:
3996:10.1090/coll/059
3978:Cieliebak, Kai;
3975:
3969:
3968:
3923:
3917:
3916:
3865:
3859:
3857:
3845:
3837:
3828:
3827:
3816:
3810:
3809:
3788:
3782:
3781:
3761:
3755:
3754:
3747:Roberts, Siobhan
3743:
3732:
3731:
3725:
3717:
3711:
3710:
3690:
3679:
3674:
3665:
3654:М. М. Ботвинника
3639:
3633:
3627:
3606:
3584:
3550:
3522:
3504:
3473:
3464:
3447:(3–4): 217–235.
3436:
3422:
3411:
3377:
3355:
3344:
3326:
3295:
3286:
3222:
3208:
3199:
3181:
3150:
3141:
3097:
3083:
3074:
3038:
3021:
3012:
2953:
2944:
2886:
2877:
2859:
2837:
2824:
2815:
2763:
2746:
2737:
2719:
2688:
2679:
2631:
2617:
2608:
2590:
2568:
2552:
2543:
2525:
2491:
2482:
2419:
2410:
2366:
2348:
2339:
2280:
2271:
2253:
2222:
2213:
2174:
2165:
2147:
2109:
2100:
2048:
2034:
2025:
1970:
1961:
1906:
1897:
1853:
1835:
1826:
1763:
1754:
1736:
1705:
1696:
1645:
1630:
1579:
1570:
1506:
1497:
1446:
1437:
1393:Ballmann, Werner
1384:
1209:Prix Elie Cartan
1172:contact geometry
1159:Yakov Eliashberg
1125:minimal surfaces
1028:, among others.
971:
969:
968:
963:
961:
960:
956:
908:
906:
905:
900:
865:Richard Hamilton
857:Grigori Perelman
844:closed manifolds
777:simply-connected
757:Green's function
741:scalar curvature
737:smooth manifolds
702:
625:Michel Talagrand
592:holomorphic maps
580:complex geometry
572:contact geometry
556:Yakov Eliashberg
469:In 1981 he left
442:Vladimir Rokhlin
363:
312:Vladimir Rokhlin
307:Doctoral advisor
272:
224:Systolic freedom
70:
67:23 December 1943
66:
64:
49:
28:
6296:
6295:
6291:
6290:
6289:
6287:
6286:
6285:
6231:Group theorists
6151:
6150:
6149:
6144:
6091:
5947:Colin Humphreys
5937:Janet Hemingway
5907:Nicholas Franks
5887:Doreen Cantrell
5872:Jeremy Baumberg
5867:Andrew Balmford
5850:
5837:
5807:
5802:
5794:Simon Donaldson
5702:Clifford Taubes
5662:Dennis Sullivan
5618:
5612:
5582:
5577:
5576:
5573:
5561:
5557:Luis Caffarelli
5549:
5545:Dennis Sullivan
5537:
5520:
5503:
5499:Karen Uhlenbeck
5491:
5479:
5467:
5455:
5451:Louis Nirenberg
5438:
5426:
5414:
5410:Endre Szemerédi
5402:
5390:
5378:
5366:
5349:
5337:
5325:
5313:
5296:
5278:
5272:
5242:
5237:
5226:
5219:
5176:
5141:James G. Arthur
5119:Luis Caffarelli
5105:Dennis Sullivan
5093:
5040:Vladimir Arnold
5018:
4953:Ennio De Giorgi
4941:
4872:Hassler Whitney
4840:
4809:
4803:
4735:
4730:
4699:
4694:
4693:
4668:, by M. Gromov"
4661:
4660:
4656:
4631:, by M. Gromov"
4624:
4623:
4619:
4584:
4583:
4579:
4547:
4546:
4542:
4533:
4532:
4528:
4521:
4517:
4510:
4506:
4499:
4495:
4482:
4481:
4477:
4470:
4466:
4461:
4457:
4452:
4448:
4443:
4439:
4434:
4430:
4425:
4421:
4416:
4412:
4407:
4403:
4394:
4390:
4381:
4377:
4368:
4364:
4359:
4355:
4350:
4346:
4341:
4337:
4332:
4328:
4323:
4319:
4314:
4310:
4305:
4301:
4296:
4289:
4284:
4280:
4257:
4233:
4232:
4228:
4171:
4170:
4166:
4157:
4153:
4144:
4140:
4131:
4127:
4122:
4118:
4109:
4105:
4096:
4092:
4087:
4083:
4078:
4074:
4059:
4034:
4033:
4029:
4006:
3977:
3976:
3972:
3957:
3947:10.1090/gsm/048
3925:
3924:
3920:
3905:
3877:Vasilʹev, V. A.
3873:Goryunov, V. V.
3867:
3866:
3862:
3843:
3839:
3838:
3831:
3818:
3817:
3813:
3790:
3789:
3785:
3778:
3763:
3762:
3758:
3745:
3744:
3735:
3728:CIMS Newsletter
3723:
3719:
3718:
3714:
3692:
3691:
3682:
3675:
3668:
3640:
3636:
3624:
3609:
3607:
3603:
3598:
3593:
3592:
3587:
3548:10.1.1.124.6500
3531:by M. Gromov".
3526:
3480:
3470:
3465:
3434:
3429:
3419:
3414:
3359:
3346:(Erratum:
3345:
3302:
3292:
3287:
3267:
3220:
3215:
3205:
3200:
3157:
3147:
3142:
3122:
3095:
3090:
3080:
3075:
3055:
3036:
3028:
3018:
3013:
2963:Schoen, Richard
2960:
2950:
2945:
2893:
2883:
2878:
2835:
2831:
2821:
2816:
2796:
2761:
2753:
2743:
2738:
2695:
2685:
2680:
2660:
2642:Springer-Verlag
2629:
2624:
2614:
2609:
2566:
2559:
2549:
2544:
2498:
2488:
2483:
2426:
2416:
2411:
2383:10.2307/2374298
2364:
2355:
2345:
2340:
2287:
2277:
2272:
2229:
2219:
2214:
2181:
2171:
2166:
2122:Taylor, Michael
2116:
2106:
2101:
2081:
2055:Maskit, Bernard
2046:
2041:
2031:
2026:
1977:
1967:
1962:
1913:
1903:
1898:
1870:10.2307/1971103
1851:
1842:
1832:
1827:
1791:10.2307/1971198
1770:
1760:
1755:
1712:
1702:
1697:
1652:
1636:
1631:
1611:
1586:
1576:
1571:
1551:
1513:
1503:
1498:
1478:
1460:Springer-Verlag
1453:
1443:
1438:
1418:
1391:
1376:
1371:
1327:
1276:
1189:
1184:
1176:Emmanuel Giroux
1108:Karen Uhlenbeck
1096:
1063:of curvature ≥
1041:Ricci curvature
978:
944:
915:
914:
891:
890:
871:control of the
785:homotopy theory
700:
681:
648:discrete groups
616:Ricci curvature
588:continuous maps
495:
427:Hans Rademacher
397:
332:
328:
324:
298:
267:
262:
257:
252:
247:
242:
237:
226:
222:
218:
214:
210:
206:
202:
198:
194:
190:
186:
182:
178:
174:
170:
168:Gromov topology
166:
162:
158:
154:
150:
146:
142:
138:
134:
130:
126:
124:Gromov boundary
122:
118:
114:
97:Alma mater
84:
71:
68:
62:
60:
52:
40:
33:
24:
17:
12:
11:
5:
6294:
6292:
6284:
6283:
6278:
6273:
6268:
6263:
6258:
6253:
6248:
6243:
6238:
6233:
6228:
6223:
6218:
6213:
6208:
6203:
6198:
6193:
6188:
6183:
6178:
6173:
6168:
6163:
6153:
6152:
6146:
6145:
6143:
6142:
6139:Edward Stolper
6135:
6130:
6128:Carla J. Shatz
6125:
6120:
6115:
6113:Mikhail Gromov
6110:
6105:
6103:David Chandler
6099:
6097:
6093:
6092:
6090:
6089:
6084:
6079:
6077:Angela Vincent
6074:
6069:
6064:
6059:
6052:
6047:
6040:
6035:
6030:
6025:
6020:
6015:
6008:
6001:
5999:David McMurtry
5996:
5991:
5989:James McKernan
5986:
5981:
5976:
5969:
5964:
5959:
5954:
5949:
5944:
5939:
5934:
5929:
5924:
5919:
5917:Steven Gamblin
5914:
5909:
5904:
5899:
5894:
5889:
5884:
5879:
5874:
5869:
5864:
5862:Robin Allshire
5858:
5856:
5852:
5851:
5838:
5836:
5835:
5828:
5821:
5813:
5804:
5803:
5801:
5800:
5786:
5776:
5766:
5756:Tobias Colding
5752:
5734:
5728:
5714:
5704:
5694:
5688:
5686:Shing-Tung Yau
5682:
5680:Mikhail Gromov
5676:
5670:
5664:
5658:
5652:
5642:
5636:
5630:
5623:
5620:
5619:
5613:
5611:
5610:
5603:
5596:
5588:
5579:
5578:
5575:
5574:
5572:
5571:
5564:
5562:
5560:
5559:
5552:
5550:
5548:
5547:
5540:
5538:
5536:
5535:
5530:
5523:
5521:
5519:
5518:
5513:
5506:
5504:
5502:
5501:
5494:
5492:
5490:
5489:
5482:
5480:
5478:
5477:
5470:
5468:
5466:
5465:
5458:
5456:
5454:
5453:
5448:
5441:
5439:
5437:
5436:
5429:
5427:
5425:
5424:
5422:Pierre Deligne
5417:
5415:
5413:
5412:
5405:
5403:
5401:
5400:
5393:
5391:
5389:
5388:
5381:
5379:
5377:
5376:
5374:Mikhail Gromov
5369:
5367:
5365:
5364:
5359:
5352:
5350:
5348:
5347:
5340:
5338:
5336:
5335:
5328:
5326:
5324:
5323:
5316:
5314:
5312:
5311:
5309:Isadore Singer
5306:
5304:Michael Atiyah
5299:
5297:
5295:
5294:
5287:
5284:
5283:
5280:
5279:
5273:
5271:
5270:
5263:
5256:
5248:
5239:
5238:
5224:
5221:
5220:
5218:
5217:
5207:
5201:
5198:George Lusztig
5195:
5184:
5182:
5178:
5177:
5175:
5174:
5171:Gregory Lawler
5164:
5154:
5147:Richard Schoen
5144:
5138:
5132:
5122:
5112:
5109:Shing-Tung Yau
5101:
5099:
5095:
5094:
5092:
5091:
5080:Pierre Deligne
5077:
5067:
5064:Sergei Novikov
5057:
5047:
5044:Saharon Shelah
5037:
5026:
5024:
5020:
5019:
5017:
5016:
5013:Elias M. Stein
5006:
5003:Yakov G. Sinai
4996:
4986:
4980:
4973:Mikhail Gromov
4970:
4960:
4949:
4947:
4943:
4942:
4940:
4939:
4929:
4926:Lars Hörmander
4919:
4909:
4899:
4889:
4879:
4869:
4859:
4848:
4846:
4842:
4841:
4839:
4838:
4828:
4825:Carl L. Siegel
4821:Israel Gelfand
4817:
4815:
4811:
4810:
4804:
4802:
4801:
4794:
4787:
4779:
4773:
4772:
4767:
4761:Mikhail Gromov
4758:
4753:
4734:
4733:External links
4731:
4729:
4728:
4717:
4700:
4698:
4695:
4692:
4691:
4678:(3): 395–398.
4654:
4641:(3): 353–363.
4617:
4604:(2): 214–220.
4577:
4564:(2): 376–380.
4540:
4526:
4515:
4504:
4493:
4475:
4464:
4455:
4446:
4437:
4428:
4419:
4410:
4401:
4388:
4382:Pierre Pansu.
4375:
4362:
4353:
4344:
4335:
4326:
4317:
4308:
4299:
4287:
4278:
4255:
4226:
4164:
4151:
4138:
4125:
4116:
4103:
4097:Yum Tong Siu.
4090:
4081:
4072:
4057:
4041:Springer, Cham
4027:
4004:
3970:
3955:
3927:Eliashberg, Y.
3918:
3903:
3860:
3829:
3811:
3783:
3776:
3756:
3733:
3712:
3680:
3666:
3650:А. Д. Мышкисом
3634:
3622:
3600:
3599:
3597:
3594:
3589:
3588:
3586:
3585:
3541:(1): 147–177.
3479:
3477:
3471:
3467:
3466:
3428:
3426:
3420:
3416:
3415:
3413:
3412:
3317:(1): 178–215.
3301:
3299:
3293:
3289:
3288:
3265:
3235:; Gromov, M.;
3214:
3212:
3206:
3202:
3201:
3172:(2): 109–197.
3156:
3154:
3148:
3144:
3143:
3120:
3089:
3087:
3081:
3077:
3076:
3053:
3027:
3025:
3019:
3015:
3014:
2959:
2957:
2951:
2947:
2946:
2897:; Gromov, M.;
2892:
2890:
2884:
2880:
2879:
2850:(1): 263–292.
2838:-Hodge theory"
2830:
2828:
2822:
2818:
2817:
2794:
2752:
2750:
2744:
2740:
2739:
2710:(4): 851–897.
2694:
2692:
2686:
2682:
2681:
2658:
2634:Gersten, S. M.
2623:
2621:
2615:
2611:
2610:
2581:(2): 189–215.
2558:
2556:
2550:
2546:
2545:
2516:(3): 309–346.
2497:
2495:
2489:
2485:
2484:
2441:(2): 307–347.
2425:
2423:
2417:
2413:
2412:
2377:(4): 843–854.
2354:
2352:
2346:
2342:
2341:
2286:
2284:
2278:
2274:
2273:
2228:
2226:
2220:
2216:
2215:
2180:
2178:
2172:
2168:
2167:
2115:
2113:
2107:
2103:
2102:
2079:
2040:
2038:
2032:
2028:
2027:
1976:
1974:
1968:
1964:
1963:
1928:(2): 179–195.
1912:
1910:
1904:
1900:
1899:
1864:(3): 423–434.
1841:
1839:
1833:
1829:
1828:
1785:(2): 209–230.
1769:
1767:
1761:
1757:
1756:
1727:(2): 231–241.
1711:
1709:
1703:
1699:
1698:
1663:(4): 671–694.
1651:
1649:
1643:
1642:
1639:Major articles
1633:
1632:
1609:
1593:Springer, Cham
1585:
1583:
1577:
1573:
1572:
1549:
1512:
1510:
1504:
1500:
1499:
1476:
1452:
1450:
1444:
1440:
1439:
1416:
1390:
1388:
1382:
1375:
1372:
1370:
1369:
1364:
1359:
1354:
1349:
1344:
1339:
1334:
1328:
1326:
1323:
1322:
1321:
1314:
1309:Member of the
1307:
1284:
1275:
1272:
1271:
1270:
1264:
1258:
1252:
1246:
1240:
1234:
1224:
1218:
1212:
1206:
1196:
1188:
1185:
1183:
1180:
1095:
1092:
977:
974:
959:
955:
951:
947:
943:
940:
937:
934:
931:
928:
925:
922:
898:
848:Michael Taylor
733:Shing-Tung Yau
729:Richard Schoen
718:Margulis lemma
680:
677:
656:Richard Schoen
636:Joseph Sampson
530:open manifolds
494:
491:
460:move to Israel
396:
393:
354:Michael Gromov
350:Mikhail Gromov
341:
340:
337:
336:
319:
315:
314:
309:
303:
302:
293:
289:
288:
285:
281:
280:
274:
273:
235:
231:
230:
204:Minimal volume
200:Mean dimension
196:Filling radius
164:Gromov product
109:
108:Known for
105:
104:
98:
94:
93:
90:
86:
85:
72:
58:
54:
53:
51:Gromov in 2014
50:
42:
41:
35:
34:
32:Mikhael Gromov
31:
15:
13:
10:
9:
6:
4:
3:
2:
6293:
6282:
6279:
6277:
6274:
6272:
6269:
6267:
6264:
6262:
6259:
6257:
6254:
6252:
6249:
6247:
6244:
6242:
6239:
6237:
6234:
6232:
6229:
6227:
6224:
6222:
6219:
6217:
6214:
6212:
6209:
6207:
6204:
6202:
6199:
6197:
6194:
6192:
6189:
6187:
6184:
6182:
6179:
6177:
6174:
6172:
6169:
6167:
6166:Living people
6164:
6162:
6159:
6158:
6156:
6141:
6140:
6136:
6134:
6131:
6129:
6126:
6124:
6121:
6119:
6118:Thomas Hughes
6116:
6114:
6111:
6109:
6106:
6104:
6101:
6100:
6098:
6094:
6088:
6087:Robert Watson
6085:
6083:
6080:
6078:
6075:
6073:
6070:
6068:
6065:
6063:
6060:
6058:
6057:
6056:Mark Randolph
6053:
6051:
6048:
6046:
6045:
6041:
6039:
6036:
6034:
6031:
6029:
6026:
6024:
6021:
6019:
6016:
6014:
6013:
6012:Arthur Milner
6009:
6007:
6006:
6002:
6000:
5997:
5995:
5992:
5990:
5987:
5985:
5982:
5980:
5977:
5975:
5974:
5970:
5968:
5965:
5963:
5960:
5958:
5955:
5953:
5952:Alex Kacelnik
5950:
5948:
5945:
5943:
5940:
5938:
5935:
5933:
5930:
5928:
5925:
5923:
5920:
5918:
5915:
5913:
5910:
5908:
5905:
5903:
5900:
5898:
5895:
5893:
5890:
5888:
5885:
5883:
5882:Béla Bollobás
5880:
5878:
5875:
5873:
5870:
5868:
5865:
5863:
5860:
5859:
5857:
5853:
5849:
5845:
5844:Royal Society
5841:
5834:
5829:
5827:
5822:
5820:
5815:
5814:
5811:
5799:
5795:
5791:
5790:Xiuxiong Chen
5787:
5785:
5781:
5777:
5775:
5771:
5767:
5765:
5761:
5757:
5753:
5751:
5747:
5746:Peter Ozsváth
5743:
5742:Tomasz Mrowka
5739:
5735:
5733:
5729:
5727:
5723:
5719:
5715:
5713:
5709:
5705:
5703:
5699:
5698:Andrew Casson
5695:
5693:
5689:
5687:
5683:
5681:
5677:
5675:
5671:
5669:
5665:
5663:
5659:
5657:
5653:
5651:
5647:
5643:
5641:
5640:Stephen Smale
5637:
5635:
5631:
5629:
5625:
5624:
5621:
5617:
5609:
5604:
5602:
5597:
5595:
5590:
5589:
5586:
5570:
5566:
5565:
5563:
5558:
5554:
5553:
5551:
5546:
5542:
5541:
5539:
5534:
5533:Avi Wigderson
5531:
5529:
5528:László Lovász
5525:
5524:
5522:
5517:
5514:
5512:
5508:
5507:
5505:
5500:
5496:
5495:
5493:
5488:
5484:
5483:
5481:
5476:
5472:
5471:
5469:
5464:
5460:
5459:
5457:
5452:
5449:
5447:
5443:
5442:
5440:
5435:
5431:
5430:
5428:
5423:
5419:
5418:
5416:
5411:
5407:
5406:
5404:
5399:
5395:
5394:
5392:
5387:
5383:
5382:
5380:
5375:
5371:
5370:
5368:
5363:
5360:
5358:
5354:
5353:
5351:
5346:
5342:
5341:
5339:
5334:
5330:
5329:
5327:
5322:
5318:
5317:
5315:
5310:
5307:
5305:
5301:
5300:
5298:
5293:
5289:
5288:
5286:
5285:
5281:
5276:
5269:
5264:
5262:
5257:
5255:
5250:
5249:
5246:
5236:
5235:
5230:
5222:
5215:
5211:
5208:
5205:
5202:
5199:
5196:
5193:
5189:
5186:
5185:
5183:
5179:
5172:
5168:
5165:
5162:
5158:
5155:
5152:
5148:
5145:
5142:
5139:
5136:
5133:
5130:
5129:Michael Artin
5126:
5125:George Mostow
5123:
5120:
5116:
5113:
5110:
5106:
5103:
5102:
5100:
5096:
5089:
5085:
5081:
5078:
5075:
5071:
5070:Stephen Smale
5068:
5065:
5061:
5058:
5055:
5051:
5048:
5045:
5041:
5038:
5035:
5031:
5028:
5027:
5025:
5021:
5014:
5010:
5009:László Lovász
5007:
5004:
5000:
4999:Joseph Keller
4997:
4994:
4990:
4987:
4984:
4981:
4978:
4974:
4971:
4968:
4964:
4961:
4958:
4954:
4951:
4950:
4948:
4944:
4937:
4933:
4930:
4927:
4923:
4920:
4917:
4913:
4910:
4907:
4903:
4900:
4897:
4893:
4890:
4887:
4883:
4880:
4877:
4873:
4870:
4867:
4866:Oscar Zariski
4863:
4860:
4857:
4853:
4850:
4849:
4847:
4843:
4836:
4832:
4829:
4826:
4822:
4819:
4818:
4816:
4812:
4808:
4800:
4795:
4793:
4788:
4786:
4781:
4780:
4777:
4771:
4768:
4766:
4762:
4759:
4757:
4754:
4752:
4749:
4748:
4747:
4745:
4740:
4732:
4726:
4722:
4718:
4715:
4714:
4709:
4705:
4704:Marcel Berger
4702:
4701:
4696:
4686:
4681:
4677:
4673:
4669:
4667:
4658:
4655:
4649:
4644:
4640:
4636:
4632:
4630:
4621:
4618:
4612:
4607:
4603:
4599:
4595:
4593:
4587:
4581:
4578:
4572:
4567:
4563:
4559:
4555:
4553:
4544:
4541:
4536:
4530:
4527:
4524:
4519:
4516:
4513:
4508:
4505:
4502:
4497:
4494:
4489:
4485:
4479:
4476:
4473:
4468:
4465:
4459:
4456:
4450:
4447:
4441:
4438:
4432:
4429:
4423:
4420:
4414:
4411:
4405:
4402:
4398:
4392:
4389:
4385:
4379:
4376:
4372:
4366:
4363:
4357:
4354:
4348:
4345:
4339:
4336:
4330:
4327:
4321:
4318:
4312:
4309:
4303:
4300:
4294:
4292:
4288:
4282:
4279:
4274:
4270:
4266:
4262:
4258:
4256:0-691-08542-0
4252:
4248:
4244:
4243:Spin geometry
4240:
4236:
4230:
4227:
4222:
4218:
4214:
4210:
4206:
4202:
4198:
4194:
4190:
4186:
4182:
4178:
4174:
4168:
4165:
4161:
4155:
4152:
4148:
4142:
4139:
4135:
4129:
4126:
4120:
4117:
4113:
4107:
4104:
4100:
4094:
4091:
4085:
4082:
4076:
4073:
4068:
4064:
4060:
4054:
4050:
4046:
4042:
4038:
4031:
4028:
4023:
4019:
4015:
4011:
4007:
4001:
3997:
3993:
3989:
3985:
3981:
3974:
3971:
3966:
3962:
3958:
3956:0-8218-3227-1
3952:
3948:
3944:
3940:
3936:
3932:
3928:
3922:
3919:
3914:
3910:
3906:
3904:3-540-63711-7
3900:
3896:
3892:
3888:
3884:
3883:
3878:
3874:
3870:
3869:Arnold, V. I.
3864:
3861:
3855:
3851:
3850:
3842:
3836:
3834:
3830:
3825:
3821:
3815:
3812:
3808:
3804:
3803:
3798:
3794:
3787:
3784:
3779:
3777:9782701130538
3773:
3769:
3768:
3760:
3757:
3752:
3748:
3742:
3740:
3738:
3734:
3729:
3722:
3716:
3713:
3708:
3704:
3701:(in French).
3700:
3696:
3689:
3687:
3685:
3681:
3678:
3673:
3671:
3667:
3664:, род. 1925).
3663:
3659:
3655:
3651:
3647:
3643:
3638:
3635:
3631:
3625:
3619:
3615:
3614:
3605:
3602:
3595:
3582:
3578:
3574:
3570:
3566:
3562:
3558:
3554:
3549:
3544:
3540:
3536:
3535:
3530:
3524:
3523:
3520:
3516:
3512:
3508:
3503:
3498:
3495:(1): 73–146.
3494:
3490:
3489:
3484:
3478:
3474:
3462:
3458:
3454:
3450:
3446:
3442:
3441:
3433:
3427:
3423:
3409:
3405:
3401:
3397:
3393:
3389:
3385:
3381:
3376:
3371:
3367:
3363:
3357:
3356:
3353:
3349:
3342:
3338:
3334:
3330:
3325:
3320:
3316:
3312:
3311:
3306:
3300:
3296:
3284:
3280:
3276:
3272:
3268:
3262:
3258:
3254:
3250:
3246:
3242:
3238:
3234:
3230:
3226:
3219:
3213:
3209:
3197:
3193:
3189:
3185:
3180:
3175:
3171:
3167:
3166:
3161:
3155:
3151:
3139:
3135:
3131:
3127:
3123:
3121:3-7643-5476-3
3117:
3113:
3109:
3105:
3101:
3094:
3088:
3084:
3072:
3068:
3064:
3060:
3056:
3054:0-521-44680-5
3050:
3046:
3042:
3035:
3031:
3026:
3022:
3010:
3006:
3002:
2998:
2994:
2990:
2986:
2982:
2978:
2974:
2973:
2968:
2964:
2958:
2954:
2942:
2938:
2934:
2930:
2926:
2922:
2918:
2914:
2910:
2906:
2905:
2900:
2899:Perelʹman, G.
2896:
2891:
2887:
2875:
2871:
2867:
2863:
2858:
2853:
2849:
2845:
2844:
2839:
2829:
2825:
2813:
2809:
2805:
2801:
2797:
2795:0-8218-1490-7
2791:
2787:
2783:
2779:
2775:
2771:
2767:
2760:
2756:
2751:
2747:
2735:
2731:
2727:
2723:
2718:
2713:
2709:
2705:
2704:
2699:
2693:
2689:
2677:
2673:
2669:
2665:
2661:
2659:0-387-96618-8
2655:
2651:
2647:
2643:
2639:
2635:
2628:
2622:
2618:
2606:
2602:
2598:
2594:
2589:
2584:
2580:
2576:
2575:
2570:
2562:
2561:Cheeger, Jeff
2557:
2553:
2541:
2537:
2533:
2529:
2524:
2519:
2515:
2511:
2510:
2505:
2501:
2500:Cheeger, Jeff
2496:
2492:
2480:
2476:
2472:
2468:
2464:
2460:
2456:
2452:
2448:
2444:
2440:
2436:
2435:
2430:
2424:
2420:
2408:
2404:
2400:
2396:
2392:
2388:
2384:
2380:
2376:
2372:
2371:
2363:
2359:
2358:Milman, V. D.
2353:
2349:
2337:
2333:
2329:
2325:
2321:
2317:
2313:
2309:
2305:
2301:
2300:
2295:
2291:
2285:
2281:
2269:
2265:
2261:
2257:
2252:
2247:
2243:
2239:
2238:
2233:
2227:
2223:
2211:
2207:
2203:
2199:
2195:
2191:
2190:
2185:
2179:
2175:
2163:
2159:
2155:
2151:
2146:
2141:
2137:
2133:
2132:
2127:
2123:
2119:
2118:Cheeger, Jeff
2114:
2110:
2098:
2094:
2090:
2086:
2082:
2080:0-691-08264-2
2076:
2072:
2068:
2064:
2060:
2056:
2052:
2045:
2039:
2035:
2023:
2019:
2015:
2011:
2007:
2003:
1999:
1995:
1991:
1987:
1986:
1981:
1975:
1971:
1959:
1955:
1951:
1947:
1943:
1939:
1935:
1931:
1927:
1923:
1922:
1917:
1911:
1907:
1895:
1891:
1887:
1883:
1879:
1875:
1871:
1867:
1863:
1859:
1858:
1850:
1846:
1840:
1836:
1824:
1820:
1816:
1812:
1808:
1804:
1800:
1796:
1792:
1788:
1784:
1780:
1779:
1774:
1768:
1764:
1752:
1748:
1744:
1740:
1735:
1730:
1726:
1722:
1721:
1716:
1710:
1706:
1694:
1690:
1686:
1682:
1678:
1674:
1670:
1666:
1662:
1658:
1657:
1650:
1646:
1641:
1640:
1628:
1624:
1620:
1616:
1612:
1606:
1602:
1598:
1594:
1590:
1584:
1580:
1568:
1564:
1560:
1556:
1552:
1550:0-8176-3898-9
1546:
1542:
1538:
1535:
1531:
1527:
1523:
1519:
1518:
1511:
1507:
1495:
1491:
1487:
1483:
1479:
1477:3-540-12177-3
1473:
1469:
1465:
1461:
1457:
1451:
1447:
1435:
1431:
1427:
1423:
1419:
1417:0-8176-3181-X
1413:
1409:
1405:
1402:
1398:
1394:
1389:
1385:
1381:
1380:
1373:
1368:
1365:
1363:
1360:
1358:
1355:
1353:
1350:
1348:
1345:
1343:
1340:
1338:
1335:
1333:
1330:
1329:
1324:
1319:
1315:
1312:
1308:
1305:
1301:
1300:Royal Society
1297:
1293:
1289:
1285:
1282:
1278:
1277:
1273:
1268:
1265:
1262:
1259:
1256:
1253:
1250:
1247:
1244:
1241:
1238:
1235:
1232:
1228:
1225:
1222:
1219:
1216:
1213:
1210:
1207:
1204:
1200:
1197:
1194:
1191:
1190:
1186:
1181:
1179:
1177:
1173:
1169:
1165:
1160:
1156:
1154:
1153:Andreas Floer
1150:
1146:
1142:
1141:string theory
1138:
1134:
1133:Edward Witten
1130:
1126:
1121:
1117:
1116:harmonic maps
1113:
1109:
1105:
1101:
1093:
1091:
1089:
1085:
1080:
1078:
1075:, Gromov and
1074:
1070:
1069:metric spaces
1067:, a class of
1066:
1062:
1058:
1054:
1050:
1046:
1042:
1038:
1034:
1029:
1027:
1023:
1022:Bruce Kleiner
1019:
1015:
1011:
1007:
1003:
999:
994:
992:
987:
986:metric spaces
983:
975:
973:
957:
953:
949:
941:
935:
932:
926:
920:
912:
896:
889:
885:
881:
876:
874:
870:
866:
862:
858:
853:
849:
845:
842:estimate for
841:
837:
832:
830:
826:
821:
817:
813:
809:
808:Karsten Grove
805:
801:
800:Betti numbers
796:
794:
790:
786:
782:
778:
774:
770:
766:
765:Stephen Smale
762:
761:Blaine Lawson
759:. Gromov and
758:
754:
750:
746:
745:connected sum
742:
738:
734:
730:
725:
723:
719:
715:
711:
706:
698:
694:
690:
687:. The famous
686:
678:
676:
674:
670:
666:
662:
661:Sobolev space
657:
653:
649:
645:
644:metric spaces
641:
640:harmonic maps
637:
633:
628:
626:
621:
617:
613:
609:
604:
600:
599:Vitali Milman
595:
593:
589:
585:
584:Oka principle
581:
577:
573:
569:
565:
561:
557:
553:
552:
547:
543:
539:
538:open manifold
535:
531:
527:
523:
519:
518:Stephen Smale
515:
514:Morris Hirsch
511:
507:
504:Motivated by
502:
500:
492:
490:
488:
484:
480:
476:
472:
467:
465:
461:
456:
454:
450:
445:
443:
439:
434:
432:
431:Otto Toeplitz
428:
424:
423:
418:
414:
410:
406:
402:
394:
392:
390:
385:
383:
379:
375:
371:
367:
359:
355:
351:
347:
338:
335:
331:
327:
323:
320:
316:
313:
310:
308:
304:
301:
297:
294:
290:
286:
282:
279:
275:
270:
265:
260:
255:
250:
245:
240:
236:
232:
229:
225:
221:
217:
213:
209:
205:
201:
197:
193:
189:
185:
181:
177:
173:
169:
165:
161:
157:
153:
149:
145:
141:
137:
133:
129:
125:
121:
117:
113:
110:
106:
102:
99:
95:
91:
87:
83:
79:
75:
69:(age 80)
59:
55:
48:
43:
39:Михаил Громов
36:
29:
26:
22:
6137:
6108:Joanne Chory
6082:Mark Walport
6072:Simon Tavaré
6062:Len Stephens
6054:
6050:Fiona Powrie
6042:
6010:
6005:Mervyn Miles
6003:
5971:
5942:Ian Horrocks
5877:Hagan Bayley
5750:Zoltán Szabó
5718:Jeff Cheeger
5656:Robion Kirby
5646:Morton Brown
5463:Andrew Wiles
5373:
5362:Jacques Tits
5225:
5135:Peter Sarnak
4993:Andrew Wiles
4983:Jürgen Moser
4977:Jacques Tits
4906:Atle Selberg
4862:Lars Ahlfors
4852:Henri Cartan
4736:
4724:
4711:
4675:
4671:
4665:
4657:
4638:
4634:
4628:
4620:
4601:
4597:
4591:
4586:McDuff, Dusa
4580:
4561:
4557:
4551:
4543:
4529:
4518:
4507:
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4030:
3983:
3973:
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3921:
3881:
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3853:
3847:
3824:abelprize.no
3823:
3814:
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3759:
3727:
3715:
3698:
3637:
3612:
3604:
3538:
3532:
3528:
3492:
3486:
3444:
3443:. 2e Série.
3438:
3365:
3361:
3314:
3308:
3240:
3229:Bourgain, J.
3169:
3163:
3099:
3040:
3029:
2976:
2970:
2908:
2902:
2847:
2841:
2773:
2707:
2701:
2637:
2578:
2572:
2513:
2507:
2438:
2432:
2374:
2368:
2356:Gromov, M.;
2303:
2297:
2244:(1): 1–147.
2241:
2235:
2193:
2187:
2138:(1): 15–53.
2135:
2129:
2058:
1989:
1983:
1925:
1919:
1861:
1855:
1782:
1776:
1724:
1718:
1660:
1654:
1638:
1637:
1588:
1516:
1455:
1396:
1378:
1377:
1374:Publications
1294:(1989), the
1290:(1989), the
1261:Bolyai Prize
1243:Balzan Prize
1157:
1097:
1084:Eliyahu Rips
1081:
1064:
1052:
1044:
1030:
1026:Pierre Pansu
995:
979:
877:
836:Jeff Cheeger
833:
825:Hodge theory
797:
788:
780:
726:
682:
650:, following
629:
596:
583:
575:
549:
525:
503:
496:
468:
457:
446:
435:
420:
417:World War II
409:pathologists
405:Soviet Union
401:Boksitogorsk
398:
386:
374:group theory
358:Misha Gromov
357:
353:
349:
345:
344:
334:Mikhail Katz
330:Pierre Pansu
322:Denis Auroux
292:Institutions
277:
264:Bolyai Prize
249:Balzan Prize
216:Random group
82:Soviet Union
78:Russian SFSR
74:Boksitogorsk
25:
6161:1943 births
6067:Patrick Tam
6044:John Parkes
6028:Werner Nahm
6018:John Morton
5994:Tom McLeish
5973:Ian Manners
5927:Alan Grafen
5922:John Goodby
5902:Alun Davies
5897:Alan Cowman
5892:Stan Cowley
5784:André Neves
5774:Daniel Wise
5764:Paul Seidel
5732:David Gabai
5650:Barry Mazur
5567:2024
5555:2023
5543:2022
5526:2021
5509:2020
5497:2019
5485:2018
5473:2017
5461:2016
5444:2015
5434:Yakov Sinai
5432:2014
5420:2013
5408:2012
5398:John Milnor
5396:2011
5384:2010
5372:2009
5355:2008
5343:2007
5331:2006
5319:2005
5302:2004
5290:2003
4936:John Milnor
4725:AMS Notices
4713:AMS Notices
3699:Le Monde.fr
3368:(1): 7–36.
2979:: 165–246.
2911:(2): 1–58.
2895:Burago, Yu.
1249:Kyoto Prize
1164:h-principle
1082:Along with
1002:word metric
886:that every
873:heat kernel
722:Peter Buser
710:nilmanifold
632:James Eells
597:Gromov and
522:h-principle
464:Stony Brook
360:; Russian:
287:Mathematics
254:Kyoto Prize
220:Sofic group
160:Gromov norm
89:Nationality
6155:Categories
6038:Mark Pagel
6023:Sean Munro
5932:Clare Grey
5912:Ian Frazer
5634:Raoul Bott
5475:Yves Meyer
5275:Abel Prize
5214:Adi Shamir
5050:Mikio Sato
5030:Raoul Bott
4912:Kiyosi Itô
4886:Paul Erdős
4876:Mark Krein
4835:André Weil
4831:Jean Leray
4697:References
4273:0688.57001
4221:0423.53032
4177:Yau, S. T.
4173:Schoen, R.
3658:латвийский
3581:1124.20027
3525:See also:
3519:1122.20021
3461:1080.37051
3408:1225.46055
3358:See also:
3341:1044.46057
3283:1006.53035
3249:Birkhäuser
3237:Milman, V.
3233:Connes, A.
3196:0998.14001
3138:0864.53025
3104:Birkhäuser
3071:0841.20039
3030:Gromov, M.
3009:0896.58024
2941:0802.53018
2874:0719.53042
2812:0742.53010
2734:0686.32012
2676:0634.20015
2605:0597.57020
2540:0606.53028
2479:0592.53025
2407:0522.53039
2336:0538.53047
2306:: 83–196.
2268:0515.53037
2210:0515.53037
2162:0493.53035
2097:0467.53035
2051:Kra, Irwin
2022:0474.20018
1958:0467.53021
1894:0463.53025
1823:0445.53025
1751:0432.53020
1693:0205.53502
1627:1433.00004
1567:0953.53002
1494:0651.53001
1434:0591.53001
1318:Paul Turán
1267:Abel Prize
1127:, is the "
991:ultralimit
861:Ricci flow
673:arithmetic
568:symplectic
510:immersions
389:Abel Prize
269:Abel Prize
244:Wolf Prize
228:2π theorem
63:1943-12-23
6246:Geometers
5967:Dennis Lo
5712:Gang Tian
5386:John Tate
5321:Peter Lax
5277:laureates
5210:Noga Alon
5076:(2006/07)
5056:(2002/03)
5054:John Tate
5005:(1996/97)
4995:(1995/96)
4985:(1994/95)
4916:Peter Lax
4898:(1984/85)
4896:Hans Lewy
4888:(1983/84)
4664:"Review:
4627:"Review:
4590:"Review:
4550:"Review:
4213:121008386
4022:118671586
3707:1950-6244
3573:120354073
3543:CiteSeerX
3400:115178123
3375:0911.3972
3247:. Basel:
3001:118023776
2328:123212001
2014:121512559
1992:: 53–73.
1950:120818147
1530:S. Semmes
1155:'s work.
1079:in 1992.
1010:Lie group
936:
727:In 1979,
395:Biography
5846:elected
5798:Song Sun
5770:Ian Agol
4588:(1988).
4241:(1989).
4179:(1979).
3982:(2012).
3887:Springer
3879:(1993).
3646:рижскому
3239:(eds.).
3225:Alon, N.
3032:(1993).
2965:(1992).
2933:10675933
2772:(eds.).
2574:Topology
2360:(1983).
2292:(1983).
2196:: 5–99.
2124:(1982).
2057:(eds.).
1847:(1980).
1815:14149468
1526:P. Pansu
1325:See also
1233:) (1997)
1205:) (1981)
1077:Perelman
1049:diameter
911:geodesic
869:Gaussian
829:Peter Li
665:lattices
370:analysis
366:geometry
6096:Foreign
5855:Fellows
5848:in 2011
5842:of the
5840:Fellows
4763:at the
4373:, 2007.
4265:1031992
4205:0535700
4067:3700709
4014:3012475
3965:1909245
3913:1660090
3662:польск.
3565:1978493
3511:1978492
3453:2026895
3392:2784762
3333:1978494
3275:1826251
3188:1694588
3130:1421823
3063:1253544
2993:1215595
2925:1185284
2866:1085144
2804:1128541
2726:1001851
2668:0919829
2636:(ed.).
2597:0837621
2532:0852159
2471:4983969
2463:0809718
2443:Bibcode
2399:0708367
2391:2374298
2320:0720933
2260:0697984
2202:0686042
2154:0658471
2089:0624814
2006:0623534
1942:0630949
1886:0577131
1878:1971103
1807:0569070
1799:1971198
1743:0540942
1685:0263103
1665:Bibcode
1619:3837512
1559:1699320
1522:M. Katz
1486:0864505
1426:0823981
1306:(2023).
1263:in 2005
749:surgery
747:and of
536:on any
5216:(2024)
5206:(2023)
5200:(2022)
5194:(2020)
5173:(2019)
5163:(2018)
5153:(2017)
5143:(2015)
5137:(2014)
5131:(2013)
5121:(2012)
5111:(2010)
5090:(2008)
5066:(2005)
5046:(2001)
5036:(2000)
5015:(1999)
4979:(1993)
4969:(1992)
4959:(1990)
4938:(1989)
4928:(1988)
4918:(1987)
4908:(1986)
4878:(1982)
4868:(1981)
4858:(1980)
4837:(1979)
4827:(1978)
4271:
4263:
4253:
4219:
4211:
4203:
4065:
4055:
4020:
4012:
4002:
3963:
3953:
3911:
3901:
3774:
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3620:
3579:
3571:
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3509:
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2889:BGP92.
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1313:(1997)
1298:, the
1274:Honors
1257:(2004)
1239:(1997)
1223:(1993)
1217:(1989)
1195:(1971)
1187:Prizes
1147:, and
1073:Burago
884:proved
789:cannot
773:closed
705:closed
348:(also
284:Fields
271:(2009)
266:(2005)
261:(2004)
256:(2002)
251:(1999)
246:(1993)
241:(1981)
234:Awards
21:Gromov
5788:2019
5778:2016
5768:2013
5754:2010
5736:2007
5730:2004
5724:and
5716:2001
5706:1996
5696:1991
5690:1986
5684:1981
5678:1981
5672:1976
5666:1976
5660:1971
5654:1971
5644:1966
5638:1966
5632:1964
5626:1964
5181:2020s
5098:2010s
5023:2000s
4946:1990s
4845:1980s
4814:1970s
4209:S2CID
4018:S2CID
3844:(PDF)
3724:(PDF)
3596:Notes
3569:S2CID
3476:G03c.
3435:(PDF)
3425:G03b.
3396:S2CID
3370:arXiv
3298:G03a.
3223:. In
3221:(PDF)
3153:G99b.
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2324:S2CID
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1946:S2CID
1909:G81a.
1874:JSTOR
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1201:(
1065:c
1053:D
1045:c
958:n
954:/
950:1
946:)
942:M
939:(
930:)
927:n
924:(
921:C
897:M
701:M
61:(
23:.
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