Source:
Notices of the American Mathematical Society • 1964
Christos Papakyriakopoulos, for his papers ::"On solid tori", and ::"On Dehn's lemma and the asphericity of knots". • 1964
Raoul Bott, for his papers and ::"The stable homotopy of the classical groups". • 1966
Stephen Smale "for his contributions to various aspects of differential topology." • 1971
Dennis Sullivan for his work on the Hauptvermutung summarized in the paper • 1976
William Thurston "for his work on foliations". • 1981
Shing-Tung Yau "for his work in nonlinear partial differential equations, his contributions to the topology of differentiable manifolds, and for his work on the complex Monge-Ampère equation on compact complex manifolds." • 1991
Andrew Casson "for his work on the topology of low-dimensional manifolds." • 1991
Clifford Taubes "for his foundational work in Yang-Mills theory." • 1996
Gang Tian "for his contributions to geometric analysis." for: ::
Families index for manifolds with boundary, superconnections, and cones. I. Families of manifolds with boundary and Dirac operators. J. Funct. Anal. 89 (1990), no. 2, 313–363. (with
Jean-Michel Bismut) ::
Families index for manifolds with boundary, superconnections and cones. II. The Chern character. J. Funct. Anal. 90 (1990), no. 2, 306–354. (with
Jean-Michel Bismut) ::
Lower bounds on Ricci curvature and the almost rigidity of warped products. Ann. of Math. (2) 144 (1996), no. 1, 189–237. (with
Tobias Colding) ::
On the structure of spaces with Ricci curvature bounded below. I. J. Differential Geom. 46 (1997), no. 3, 406–480. (with
Tobias Colding) • 2001
Yakov Eliashberg • 2007
Peter Kronheimer and
Tomasz Mrowka for: ::
The genus of embedded surfaces in the projective plane. Math. Res. Lett. 1 (1994), no. 6, 797–808. ::''Embedded surfaces and the structure of Donaldson's polynomial invariants.'' J. Differential Geom. 41 (1995), no. 3, 573–734. ::''Witten's conjecture and property P.'' Geom. Topol. 8 (2004), 295–310. • 2007
Peter Ozsváth and
Zoltán Szabó for: ::
The space of embedded minimal surfaces of fixed genus in a 3-manifold. I. Estimates off the axis for disks. Ann. of Math. (2) 160 (2004), no. 1, 27–68. ::
The space of embedded minimal surfaces of fixed genus in a 3-manifold. II. Multi-valued graphs in disks. Ann. of Math. (2) 160 (2004), no. 1, 69–92. ::
The space of embedded minimal surfaces of fixed genus in a 3-manifold. III. Planar domains. Ann. of Math. (2) 160 (2004), no. 2, 523–572. ::
The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV. Locally simply connected. Ann. of Math. (2) 160 (2004), no. 2, 573–615. ::
The Calabi-Yau conjectures for embedded surfaces. Ann. of Math. (2) 167 (2008), no. 1, 211–243. • 2010
Paul Seidel for: ::
Lower bounds on volumes of hyperbolic Haken 3-manifolds. With an appendix by Nathan Dunfield. J. Amer. Math. Soc. 20 (2007), no. 4, 1053–1077. (with
Peter Storm and
William Thurston) ::
Criteria for virtual fibering. J. Topol. 1 (2008), no. 2, 269–284. ::
Residual finiteness, QCERF and fillings of hyperbolic groups. Geom. Topol. 13 (2009), no. 2, 1043–1073. (with
Daniel Groves and
Jason Fox Manning) • 2013
Daniel Wise for: ::
Min-max theory and the Willmore conjecture. Ann. of Math. (2) 179 (2014), no. 2, 683–782. ::
Min-max theory and the energy of links. J. Amer. Math. Soc. 29 (2016), no. 2, 561–578. (with
Ian Agol) ::
Existence of infinitely many minimal hypersurfaces in positive Ricci curvature. Invent. Math. 209 (2017), no. 2, 577–616. • 2019
Xiuxiong Chen,
Simon Donaldson and
Song Sun for: ::
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. J. Amer. Math. Soc. 28 (2015), no. 1, 183–197. ::
Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2π. J. Amer. Math. Soc. 28 (2015), no. 1, 199–234. ::
Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof. J. Amer. Math. Soc. 28 (2015), no. 1, 235–278. • 2022
Michael A. Hill,
Michael J. Hopkins, and
Douglas Ravenel for: ::
On the nonexistence of elements of Kervaire invariant one. Ann. of Math. (2) 184 (2016), no. 1, 1-262. • 2025
Soheyla Feyzbakhsh and
Richard Thomas for: ::
Curve counting and S-duality,
Épijournal de Géométrie Algébrique - arXiv:2007.03037 ::
Rank r DT theory from rank 0,
Duke Mathematical Journal - arXiv:2103.02915 ::
Rank r DT theory from rank 1,
Journal of the American Mathematical Society - arXiv:2108.02828 ==See also==