Toshikazu Sunada | Academic Influence

Toshikazu Sunada's AcademicInfluence.com Rankings

Toshikazu Sunada

Mathematics

#328

World Rank

#697

Historical Rank

Measure Theory

#3532

World Rank

#4171

Historical Rank

mathematics Degrees

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Mathematics

Toshikazu Sunada's Degrees

PhD Mathematics University of Tokyo

Why Is Toshikazu Sunada Influential?

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According to Wikipedia, is a Japanese mathematician and author of many books and essays on mathematics and mathematical sciences. He is professor emeritus of both Meiji University and Tohoku University. He is also distinguished professor of emeritus at Meiji in recognition of achievement over the course of an academic career. Before he joined Meiji University in 2003, he was professor of mathematics at Nagoya University , at the University of Tokyo , and at Tohoku University . Sunada was involved in the creation of the School of Interdisciplinary Mathematical Sciences at Meiji University and is its first dean . Since 2019, he is President of Mathematics Education Society of Japan.

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Toshikazu Sunada'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

Riemannian coverings and isospectral manifolds (1985) (494)
Zeta Functions of Finite Graphs (2000) (223)
Analysis on graphs and its applications (2008) (220)
L-functions in geometry and some applications (1986) (174)
Fundamental groups and Laplacians (1988) (129)
New metallic carbon crystal. (2009) (101)
Closed orbits in homology classes (1990) (98)
Standard realizations of crystal lattices via harmonic maps (2000) (84)
Albanese Maps and Off Diagonal Long Time Asymptotics for the Heat Kernel (2000) (79)
A discrete analogue of periodic magnetic Schr?odinger operators (1994) (74)
Curvature and Topology of Riemannian Manifolds (1986) (74)
Holomorphic equivalence problem for bounded Reinhardt domains (1978) (71)
Discrete Geometric Analysis (2004) (66)
HOMOLOGY AND CLOSED GEODESICS IN A COMPACT RIEMANN SURFACE (1988) (59)
Jacobian Tori Associated with a Finite Graph and Its Abelian Covering Graphs (2000) (58)
Asymptotic behavior of the transition probability of a random walk on an infinite graph (1998) (46)
Homology of closed geodesics in a negatively curved manifold (1987) (43)
Periodic Schrödinger Operators on a Manifold (1989) (41)
Large deviation and the tangent cone at infinity of a crystal lattice (2006) (38)
Density of states in spectral geometry (1993) (36)
On the spectrum of periodic elliptic operators (1992) (36)
Asymptotic behavior of quantum walks on the line (2011) (34)
Discrete Schrödinger operators on a graph (1992) (33)
Analysis on Graphs (2017) (32)
On the spectrum of gauge-periodic elliptic operators (1992) (31)
Finiteness of the family of rational and meromorphic mappings into algebraic varieties (1982) (29)
Geodesic Flows and Geodesic Random Walks (1984) (29)
Lecture on topological crystallography (2012) (28)
Unitary representations of fundamental groups and the spectrum of twisted Laplacians (1989) (28)
Group C*-Algebras and the Spectrum of a Periodic Schrödinger Operator on a Manifold (1992) (28)
Rigidity of certain harmonic mappings (1979) (22)
Spherical means and geodesic chains on a Riemannian manifold (1981) (20)
Holomorphic mappings into a compact quotient of symmetric bounded domain (1976) (20)
Twisted Perron-Frobenius theorem and L-functions (1987) (20)
Spectrum of a compact flat manifold (1978) (19)
Why do diamonds look so beautiful (2006) (15)
Geometry and analysis of manifolds (1988) (14)
Geometric Theory of Lattice Vibrations and Specific Heat (2005) (14)
The pressure and higher correlations for an Anosov diffeomorphism (2001) (13)
TRACE FORMULA FOR HILL'S OPERATORS (1980) (12)
TRACE FORMULA AND HEAT EQUATION ASYMPTOTICS FOR A NON-POSITIVELY CURVED MANIFOLD (1982) (12)
Hidden Symmetries and Spectrum of the Laplacian on an Indefinite Riemannian Manifold (2008) (11)
Energy spectrum of certain harmonic mappings (1985) (11)
On bounded Reinhardt domains (1974) (9)
CLOSED GEODESICS IN A LOCALLY SYMMETRIC SPACE (1978) (7)
Homology of closed geodesics in certain riemannian manifolds (1986) (7)
Non-linear elliptic operators on a compact manifold and an implicit function theorem (1975) (6)
Homology, Wiener integrals, and integrated densities of states (1992) (5)
Topics on mathematical crystallography (2014) (5)
A Central Limit Theorem for the Simple Random Walk on a Crystal Lattice (2000) (4)
Dynamical $L$-functions and homology of closed orbits (1989) (4)
Euclidean versus Non-Euclidean Aspects in Spectral Geometry (1994) (4)
Number theoretic analogues in spectral geometry (1987) (4)
Gel′fand's problem on unitary representations associated with discrete subgroups of ${\text{PSL}}_2 ({\mathbf{R}})$ (1985) (3)
Geodesic chains and the spherical mean operator (1981) (3)
Discrete geometric analysis : proceedings of the first JAMS symposium on discrete geometric analysis, December 12-20, 2002, Sendai, Japan (2004) (2)
Geometric bounds for the number of certain harmonic mappings (1984) (2)
Mean-value theorems and ergodicity of certain geodesic random walks (2019) (2)
Homology Groups of Graphs (2013) (2)
Mean-value theorems and ergodicity of certain geodesic random walks (2019) (2)
The solution spaces of non-linear partial differential equations of elliptic type on compact manifolds (1973) (1)
Standard 2D Crystalline Patterns and Rational Points in Complex Quadrics (2012) (1)
GEOMETRIC ASPECTS OF LARGE DEVIATIONS FOR RANDOM WALKS ON A CRYSTAL LATTICE (Geometry of Submanifolds and Related Topics) (2001) (1)
Lecture on topological crystallography (2012) (0)
Trace Formula for a Nonpositively Curved Manifold (幾何学と大域解析学) (1979) (0)
Random Walks on Topological Crystals (2013) (0)
Diamond Twin Toshikazu Sunada (2019) (0)
Exponential Riemann Sums and “Near”-Quasicrystals (2015) (0)
Discrete Abel–Jacobi Maps (2013) (0)
Algebra Mathematical World V 1 A Mathematical Gift 1 The Interplay Between Topology Functions Geometry And Algebra Mathematical World V 1 (2020) (0)
Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020 (2020) (0)
From Euclid to Riemann and Beyond (2019) (0)
Generalized Riemann Sums (2017) (0)
Number 22 Constructions of harmonic maps between Hadamard manifolds (2002) (0)
RIMS for the 21st Century (2001) (0)
From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe (2019) (0)
Generalities on Graphs (2013) (0)
Mikhail Aleksandrovich Shubin (2020) (0)
CRYSTALS THAT NATURE MIGHT MISS CREATING (2007) (0)
Diamond Twin (2019) (0)
Book Review: Random walks on infinite graphs and groups (2001) (0)
Mikhail Aleksandrovich Shubin (1944–2020) (2021) (0)

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