Hiroaki Terao

Q: What Schools Are Affiliated With Hiroaki Terao

Hiroaki Terao is affiliated with the following schools: Kyoto University, Tokyo Metropolitan University, Hokkaido University, International Christian University, University of Tokyo, University of Wisconsin–Madison, Osaka University

Hiroaki Terao's AcademicInfluence.com Rankings

Hiroaki Terao

Mathematics

#4298

World Rank

#6138

Historical Rank

Algebraic Geometry

#146

World Rank

#153

Historical Rank

Measure Theory

#3337

World Rank

#3941

Historical Rank

mathematics Degrees

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Mathematics

Hiroaki Terao's Degrees

PhD Mathematics University of Tokyo

Why Is Hiroaki Terao Influential?

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According to Wikipedia, Hiroaki Terao is a Japanese mathematician, known as, with Peter Orlik and Louis Solomon, a pioneer of the theory of arrangements of hyperplanes. He was awarded a Mathematical Society of Japan Algebra Prize in 2010.

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Hiroaki Terao'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

Arrangements Of Hyperplanes (1992) (600)
Arrangements of hyperplanes and their freeness I (1980) (275)
Generalized exponents of a free arrangement of hyperplanes and Shepherd-Todd-Brieskorn formula (1981) (216)
Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors (1994) (121)
Modular elements of lattices and topological fibration (1986) (77)
Arrangements and hypergeometric integrals (2007) (69)
Commutative algebras for arrangements (1994) (67)
Free arrangements of hyperplanes and supersolvable lattices (1984) (65)
Multiderivations of Coxeter arrangements (2000) (65)
Free arrangements of hyperplanes and unitary reflection groups (1980) (65)
Algebras Generated by Reciprocals of Linear Forms (2001) (59)
A formula for the characteristic polynomial of an arrangement (1987) (57)
The double Coxeter arrangement (1997) (56)
The Euler multiplicity and addition–deletion theorems for multiarrangements (2006) (52)
THE CHARACTERISTIC POLYNOMIAL OF A MULTIARRANGEMENT (2006) (48)
The freeness of ideal subarrangements of Weyl arrangements (2013) (47)
bases for cohomology of local systems on hyperplane complements (1994) (47)
Arrangements of hyperplanes and their freeness II : the Coxeter equality (1980) (46)
A free resolution of the module of logarithmic forms of a generic arrangement (1991) (42)
The number of critical points of a product of powers of linear functions (1995) (41)
The bifurcation set and logarithmic vector fields (1983) (36)
Periodicity of hyperplane arrangements with integral coefficients modulo positive integers (2007) (33)
Arrangements and Milnor fibers (1995) (33)
Twisted de Rham Cohomology Groups of Logarithmic Forms (1997) (30)
Coxeter arrangements are hereditarily free (1993) (30)
Factorizations of the Orlik-Solomon algebras (1992) (27)
Ranking patterns of unfolding models of codimension one (2010) (26)
Free arrangements and relation spaces (1994) (21)
Free arrangements of hyperplanes over an arbitrary field (1983) (20)
Periodicity of Non-Central Integral Arrangements Modulo Positive Integers (2008) (19)
Totally free arrangements of hyperplanes (2008) (18)
Arrangements and Ranking Patterns (2006) (18)
Discriminant of a holomorphic map and logarithmic vector fields (1983) (17)
Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements (2014) (16)
Moduli space of combinatorially equivalent arrangements of hyperplanes and logarithmic Gauss–Manin connections (2002) (16)
The Jacobians and the discriminants of finite reflection groups (1989) (16)
The Hodge filtration and the contact-order filtration of derivations of Coxeter arrangements (2002) (15)
The Shi arrangements and the Bernoulli polynomials (2011) (15)
On Coxeter Arrangements and the Coxeter Number (1987) (14)
Chambers of arrangements of hyperplanes and Arrow's impossibility theorem (2006) (13)
A primitive derivation and logarithmic differential forms of Coxeter arrangements (2008) (12)
The freeness of Shi-Catalan arrangements (2010) (12)
The Shi arrangement of the type $D_{\ell}$ (2011) (12)
The determinant of a hypergeometric period matrix (1996) (11)
Logarithmic vector fields for curve configurations in P 2 with quasihomogeneous singularities (2019) (11)
Simple-root bases for Shi arrangements (2011) (10)
The Poincaré series of the algebra of rational functions which are regular outside hyperplanes (2002) (8)
Logarithmic forms on affine arrangements (1995) (8)
Arrangements stable under the Coxeter groups (2011) (7)
Multiple addition, deletion and restriction theorems for hyperplane arrangements (2018) (7)
1 1 M ay 2 00 1 Algebras generated by reciprocals of linear forms (2008) (6)
Arrangements of Hyperplanes - Sapporo 2009 (2011) (6)
Equivariant multiplicities of Coxeter arrangements and invariant bases (2010) (5)
Logarithmic forms and anti-invariant forms of reflection groups (2000) (5)
Hilbert polynomials and geometric lattices (1990) (5)
Canonical Systems of Basic Invariants for Unitary Reflection Groups (2013) (4)
MATHEMATICAL ENGINEERING TECHNICAL REPORTS The characteristic quasi-polynomials of the arrangements of root systems (2007) (4)
The Duality of the Exponents of Free Deformations Associated with Unitary Reflection Groups (1985) (4)
Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements (2009) (4)
On Betti Numbers of Complement of Hyperplanes (1981) (3)
Extended dynamic mode decomposition with dictionary learning using neural ordinary differential equations (2021) (3)
A correction to “Bases of the contact-order filtration of derivations of Coxeter arrangements” (2002) (3)
Logarithmic vector fields for curve configurations in $\mathbb{P}^2$ with quasihomogeneous singularities (2018) (3)
On $$A_1^2$$ A 1 2 restrictions of Weyl arrangements (2019) (2)
MATHEMATICAL ENGINEERING TECHNICAL REPORTS Ranking Patterns of the Unfolding Model and Arrangements (2004) (2)
On A 21 restrictions of Weyl arrangements (2020) (1)
The freeness of ideal-Shi arrangements and free paths in affine Weyl arrangements (2014) (1)
On a certain invariant of a finite unitary reflection group (1989) (1)
Chapter 5. Combinatorics (2007) (0)
Primitive derivations, Shi arrangements and Bernoulli polynomials (2012) (0)
Chapter 10. Gauss-Manin Connections (2007) (0)
Three-Dimensional Restrictions (1992) (0)
MATHEMATICAL ENGINEERING TECHNICAL REPORTS Arrangements Stable under the Coxeter Groups (2011) (0)
Logarithmic vector fields for quasihomogeneous curve configurations in P^2 (2014) (0)
Recent topics of arrangements of hyperplanes (2018) (0)
Some Commutative Algebra (1992) (0)
New Exponents and Betti Numbers of Complement of Hyperplanes (Complex Analysis of Singularities) (1981) (0)
Chapter 8. Families of l-Arrangements (2007) (0)
Chapter 3. Arrangements (2007) (0)
Chapter 6. Bases (2007) (0)
On the Logarithmic Pole Differentials (微分方程式と超函数) (1976) (0)
Chapter 7. The Determinant of a Period Matrix (2007) (0)
The logarithmic forms ofk-generic arrangements (1996) (0)
Chapter 2. Hypergeometric Integrals (2007) (0)
ec 2 00 1 Algebras generated by reciprocals of linear forms (2008) (0)
Chapter 9. Moduli Spaces (2007) (0)
Reflection Groups, Combinatorics and Multi-Derivations (1987) (0)
Factorizations of the Orlik-Solomon Algebras(Combinatorial Theory and Related Topics) (1990) (0)
Annals of Combinatorics Arrangements and Ranking Patterns (0)
N ov 2 00 1 Multiderivations of Coxeter arrangements (1983) (0)
Totally free arrangements over the real number field (2008) (0)
Chapter 4. Non-Resonance Theorems (2007) (0)
Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements (2015) (0)
The Rational Forms on the Weighted Projective Space and the Filtration by the Order of Pole (1978) (0)

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What Schools Are Affiliated With Hiroaki Terao?

Hiroaki Terao is affiliated with the following schools:

Hiroaki Terao's Academic­Influence.com Rankings

Hiroaki Terao's Degrees

Why Is Hiroaki Terao Influential?

Hiroaki Terao's Published Works

Published Works

Other Resources About Hiroaki Terao

What Schools Are Affiliated With Hiroaki Terao?

Hiroaki Terao's AcademicInfluence.com Rankings