Semyon Alesker | Academic Influence

Semyon Alesker's AcademicInfluence.com Rankings

Semyon Alesker

Mathematics

#3733

World Rank

#5449

Historical Rank

Measure Theory

#3863

World Rank

#4553

Historical Rank

mathematics Degrees

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Mathematics

Semyon Alesker's Degrees

PhD Mathematics Moscow State University
Doctorate Mathematics Moscow State University

Why Is Semyon Alesker Influential?

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According to Wikipedia, Semyon Alesker is an Israeli mathematician at Tel Aviv University. For his contributions in convex geometry and integral geometry, in particular his work on valuations, he won the EMS Prize in 2000, and the Erdős Prize in 2004.

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Semyon Alesker's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture (2001) (216)
Continuous rotation invariant valuations on convex sets (1999) (177)
Hard Lefschetz Theorem for Valuations, Complex Integral Geometry, and Unitarily Invariant Valuations (2002) (131)
The multiplicative structure on continuous polynomial valuations (2004) (100)
Harmonic Analysis of Translation Invariant Valuations (2010) (96)
Description of Continuous Isometry Covariant Valuations on Convex Sets (1999) (95)
Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables (2001) (89)
Theory of Valuations on Manifolds: A Survey (2006) (82)
THEORY OF VALUATIONS ON MANIFOLDS, III. MULTIPLICATIVE STRUCTURE IN THE GENERAL CASE (2005) (73)
Theory of valuations on manifolds, I. Linear spaces (2005) (71)
Theory of valuations on manifolds, II (2005) (69)
Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds (2008) (65)
Range characterization of the cosine transform on higher Grassmannians (2001) (63)
A fourier-type transform on translation-invariant valuations on convex sets (2007) (61)
Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry (2005) (60)
On P. McMullen's Conjecture on Translation Invariant Valuations (2000) (58)
Quaternionic Monge-Ampère equations (2002) (52)
The product on smooth and generalized valuations (2009) (47)
Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure (2005) (41)
Valuations on convex sets, non-commutative determinants, and pluripotential theory (2004) (39)
Valuations on Manifolds and Integral Geometry (2009) (37)
Valuations on convex functions and convex sets and Monge–Ampère operators (2017) (36)
On a uniform estimate for the quaternionic Calabi problem (2011) (35)
Convex valuations invariant under the Lorentz group (2013) (34)
Solvability of the quaternionic Monge-Ampère equation on compact manifolds with a flat hyperKähler metric (2011) (31)
Hard Lefschetz Theorem for Valuations and Related Questions of Integral Geometry (2003) (31)
Pluripotential theory on quaternionic manifolds (2010) (30)
Integrals of Smooth and Analytic Functions over Minkowski's Sums of Convex Sets (1998) (21)
A characterization of product preserving maps with applications to a characterization of the Fourier transform (2010) (21)
The multiplicative structure on polynomial continuous valuations (2003) (21)
A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet) (2015) (20)
Integral Geometry and Valuations (2014) (19)
A characterization of the Fourier transform and related topics (2008) (18)
SU (2)-Invariant Valuations (2004) (17)
Introduction to the Theory of Valuations (2018) (17)
Plurisubharmonic Functions on the Octonionic Plane and Spin(9)-Invariant Valuations on Convex Sets (2007) (15)
Localization Technique on the Sphere and the Gromov-Milman Theorem on the Concentration Phenomenon on Uniformly Convex Sphere (1998) (14)
New Structures on Valuations and Applications (2010) (13)
The α-Cosine Transform and Intertwining Integrals on Real Grassmannians (2012) (12)
Continuous valuations on convex sets (1998) (12)
Some Conjectures on Intrinsic Volumes of Riemannian Manifolds and Alexandrov Spaces (2016) (11)
On an analytic description of the α-cosine transform on real Grassmannians. (2014) (9)
A Remark on the Szarek–Talagrand Theorem (1997) (9)
Algebraic structures on valuations, their properties and applications (2003) (8)
Convolution of valuations on manifolds (2015) (7)
On GL~n(R)-invariant classes of convex bodies (2003) (5)
Kotrbatý’s theorem on valuations and geometric inequalities for convex bodies (2020) (5)
Quaternionic plurisubharmonic functions and their applications to convexity (2006) (4)
On extendability by continuity of valuations on convex polytopes (2012) (3)
Erratum: Rotation invariant valuations on convex sets (2007) (3)
On convergence of intrinsic volumes of Riemannian manifolds (2021) (2)
Classification Results on Valuations on Convex Sets (2001) (2)
Structures on Valuations (2017) (2)
Mini-Workshop: Valuations and Integral Geometry (2010) (1)
A Topological Obstruction to Existence of Quaternionic Plücker Map (2001) (1)
New invariants of Gromov–Hausdorff limits of Riemannian surfaces with curvature bounded below (2022) (1)
Erratum to “The product on smooth and generalized valuations” (2016) (1)
Non-commutative Determinants and Quaternionic Monge-Ampère Equations (2004) (1)
Bivaluations and Brunn-Minkowski Inequalities (2010) (1)
On Repeated Sequential Closures of Constructible Functions in Valuations (2014) (1)
Theory of valuations on manifolds , IV . Further properties of the multiplicative structure (2005) (1)
Corrigendum to “A Fourier type transform on translation invariant valuations on convex sets” (2014) (1)
Cohomology of a Hamiltonian $T$-space with involution (1999) (1)
On convergence of intrinsic volumes of Riemannian manifolds (2022) (0)
Valuations, non-commutative determinants, and quaternionic pluripotential theory (2004) (0)
Corrigendum to “A Fourier type transform on translation invariant valuations on convex sets” (2014) (0)
On a uniform estimate for the quaternionic Calabi problem (2013) (0)
M G ] 2 2 Se p 20 05 Theory of valuations on manifolds , III . (2005) (0)
Octonionic Calabi-Yau theorem (2022) (0)
M G ] 2 5 O ct 2 00 5 Theory of valuations on manifolds , III . (2005) (0)
EMS Prize Winners (2012) (0)
THEORY OF VALUATIONS AND INTEGRAL GEOMETRY (2011) (0)
Surface Area Measures , Minkowski Endomorphisms and j-Projection Bodies (2017) (0)
Correction: New invariants of Gromov–Hausdorff limits of Riemannian surfaces with curvature bounded below (2023) (0)
Integral Geometry and its Applications (2013) (0)
Ju n 20 06 Theory of valuations on manifolds : a survey (2006) (0)
Quaternionic linear algebra and plurisubharmonic functions of quaternionic variables (2001) (0)
On Modules Over Valuations (2011) (0)
On the measure of intersection of cylinders (1999) (0)
Kotrbatý’s theorem on valuations and geometric inequalities for convex bodies (2021) (0)
Some Conjectures on Intrinsic Volumes of Riemannian Manifolds and Alexandrov Spaces (2018) (0)

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