Alexander Nabutovsky | Academic Influence

Alexander Nabutovsky's AcademicInfluence.com Rankings

Alexander Nabutovsky

Mathematics

#2883

World Rank

#4362

Historical Rank

Geometry

#106

World Rank

#164

Historical Rank

Measure Theory

#5521

World Rank

#6556

Historical Rank

mathematics Degrees

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Mathematics

Alexander Nabutovsky's Degrees

PhD Mathematics Princeton University
Masters Mathematics Moscow State University
Bachelors Mathematics Moscow State University

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Why Is Alexander Nabutovsky Influential?

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According to Wikipedia, Alexander Nabutovsky is a leading Canadian mathematician specializing in differential geometry, geometric calculus of variations and quantitative aspects of topology of manifolds. He is a professor at the University of Toronto Department of Mathematics.

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Alexander Nabutovsky'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

The length of the shortest closed geodesic on a 2-dimensional sphere (2002) (42)
Einstein structures: Existence versus uniqueness (1995) (40)
Noncomputability arising in dynamical triangulation model of four-dimensional Quantum Gravity (1992) (35)
Geometry of the space of triangulations of a compact manifold (1996) (35)
Volume, diameter and the minimal mass of a stationary 1-cycle (2002) (35)
Non-recursive functions, knots “with thick ropes,” and self-clenching “thick” hyperspheres (2010) (31)
Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem (2003) (19)
Linear bounds for constants in Gromov’s systolic inequality and related results (2019) (19)
Curvature-free upper bounds for the smallest area of a minimal surface (2006) (18)
Disconnectedness of sublevel sets of some Riemannian functionals (1996) (17)
Length of Geodesics and Quantitative Morse Theory on Loop Spaces (2013) (15)
Filling metric spaces (2019) (15)
Contracting the boundary of a Riemannian 2-disc (2012) (15)
Linear bounds for lengths of geodesic loops on Riemannian 2-spheres (2011) (14)
Fundamental group and contractible closed geodesics (1996) (14)
The length of the second shortest geodesic (2009) (11)
Length of geodesics on a two-dimensional sphere (2009) (10)
Nonrecursive functions in real algebraic geometry (1989) (9)
The Minimal Length of a Closed Geodesic Net on a Riemannian Manifold with a Nontrivial Second Homology Group (2005) (8)
LINEAR BOUNDS FOR LENGTHS OF GEODESIC SEGMENTS ON RIEMANNIAN 2-SPHERES (2013) (7)
Lengths of geodesics between two points on a Riemannian manifold (2005) (7)
Short Geodesic Segments between Two Points on a Closed Riemannian Manifold (2009) (6)
Combinatorics of the spaces of Riemannian structures and logic phenomena of Euclidean quantum gravity (2006) (6)
Shapes of geodesic nets (2007) (6)
Effective Universal Coverings and Local Minima of the Length Functional on Loop Spaces (2010) (5)
Geodesic Nets: Some Examples and Open Problems (2019) (5)
A Few Snapshots from the Work of Mikhail Gromov (2014) (5)
Lengths of three simple periodic geodesics on a Riemannian 2-sphere (2014) (5)
R.: Lengths of geodesics between two points on a Riemannian manifold, Electron (5)
Morse Landscapes of Riemannian Functionals and Related Problems (2011) (5)
Number of solutions with a norm bounded by a given constant of a semilinear elliptic PDE with a generic right-hand side (1992) (4)
LENGTHS OF SIMPLE PERIODIC GEODESICS ON TWO-DIMENSIONAL RIEMANNIAN SPHERES (2011) (4)
Sweepouts of closed Riemannian manifolds (2020) (3)
Sizes of spaces of triangulations of 4-manifold and balanced presentations of the trivial group (2016) (3)
Balanced Presentations of the Trivial Group and 4-dimensional Geometry (2015) (3)
Complexity of unknotting of trivial 2-knots (2015) (2)
The Area of a Minimal Embedded 2-Sphere in a Manifold Di ff eomorphic to S 3 (2003) (1)
Smoothing of real algebraic hypersurfaces by rigid isotopies (1991) (1)
Length of Geodesics and Quantitative Morse Theory on Loop Spaces (2013) (0)
Boxing inequalities in Banach spaces (2023) (0)
Geodesic nets on non-compact Riemannian manifolds (2022) (0)
The minimal mass of a stationary 1-cycle, volume and diameter (2002) (0)
Contracting the boundary of a Riemannian 2-disc (2015) (0)
Lengths of three simple periodic geodesics on a Riemannian 2-sphere (2016) (0)
The length of geodesics between two points on a Riemannian manifold diffeomorphic (0)

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