Murray Gerstenhaber | Academic Influence

Murray Gerstenhaber's AcademicInfluence.com Rankings

Murray Gerstenhaber

Mathematics

#463

World Rank

#909

Historical Rank

#208

USA Rank

Algebra

#15

World Rank

#29

Historical Rank

#6

USA Rank

Measure Theory

#1168

World Rank

#1489

Historical Rank

#424

USA Rank

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Mathematics

Murray Gerstenhaber's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics University of Chicago

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Why Is Murray Gerstenhaber Influential?

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According to Wikipedia, Murray Gerstenhaber is an American mathematician and professor of mathematics at the University of Pennsylvania, best known for his contributions to theoretical physics with his discovery of Gerstenhaber algebra. He is also a lawyer and a lecturer in law at the University of Pennsylvania Law School.

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Murray Gerstenhaber'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

On the Deformation of Rings and Algebras (1964) (1486)
The Cohomology Structure of an Associative Ring (1963) (1304)
Algebraic Cohomology and Deformation Theory (1988) (309)
Homotopy G -algebras and moduli space operad (1994) (227)
ON DOMINANCE AND VARIETIES OF COMMUTING MATRICES (1961) (208)
A hodge-type decomposition for commutative algebra cohomology (1987) (195)
Bialgebra cohomology, deformations, and quantum groups. (1990) (129)
THE SOLUTION OF SETS OF EQUATIONS IN GROUPS. (1962) (114)
Deformation theory of algebras and structures and applications (1988) (112)
On Nilalgebras and Linear Varieties of Nilpotent Matrices, I (1958) (102)
Simplicial cohomology is Hochschild cohomology (1983) (102)
On the deformation of algebra morphisms and diagrams (1983) (98)
Algebras, bialgebras, quantum groups, and algebraic defor-mations (1992) (97)
The hidden group structure of quantum groups: Strong duality, rigidity and preferred deformations (1994) (90)
Higher operations on the Hochschild complex (1995) (89)
Relative Hochschild cohomology, rigid algebras, and the Bockstein (1986) (87)
Boundary Solutions of the Classical Yang--Baxter Equation (1996) (69)
Quantum groups and deformation quantization: Explicit approaches and implicit aspects (2004) (60)
Cohomology and deformation of Leibniz pairs (1995) (58)
Dominance Over The Classical Groups (1961) (56)
On Nilalgebras and Linear Varieties of Nilpotent Matrices, III (1959) (48)
A UNIFORM COHOMOLOGY THEORY FOR ALGEBRAS. (1964) (47)
On commutative power-associative nilalgebras of low dimension (1975) (45)
On the number of nilpotent matrices with coefficients in a finite field (1961) (41)
On nilalgebras and linear varieties of nilpotent matrices. II (1960) (40)
The cohomology of presheaves of algebras. I. Presheaves over a partially ordered set (1988) (39)
The shuffle bialgebra and the cohomology of commutative algebras (1991) (35)
Deformation theory and quantum groups with applications to mathematical physics : proceedings of an AMS-IMS-SIAM 1990 joint summer research conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation (1992) (33)
On thought: the extrinsic theory. (1956) (33)
On the cohomology of an algebra morphism (1985) (31)
Graphs, Frobenius functionals, and the classical Yang-Baxter equation (2008) (29)
The Principal Element of a Frobenius Lie Algebra (2008) (25)
ON EXTREMAL QUASI-CONFORMAL MAPPINGS. I. (1954) (22)
Boundary Solutions of the Quantum Yang–Baxter Equation and Solutions in Three Dimensions (1997) (22)
A categorical setting for Baer extension theory (1970) (22)
On the Galois theory of inseparable extensions (1964) (17)
On the algebraic structure of discontinuous groups (1953) (16)
On the Representation Theory of Deformation Quantization (2002) (15)
Cohomology of Lie semidirect products and poset algebras (2014) (15)
ON THE DEFORMATION OF RINGS AND ALGEBRAS , V : DEFORMATION OF DIFFERENTIAL GRADED ALGEBRAS (1998) (15)
On the cohomology of the Weyl algebra, the quantum plane, and the q-Weyl algebra (2012) (14)
Diagrams of Lie algebras (2005) (13)
On the Galois theory of purely inseparable field extensions (1970) (12)
The 152-nd Proof of the Law of Quadratic Reciprocity (1963) (10)
Universal deformation formulas and breaking symmetry (1993) (10)
Developments from Barr's thesis☆ (1999) (9)
ON CANONICAL CONSTRUCTIONS. I. (1955) (9)
The third cohomology group of a ring and the commutative cohomology theory (1967) (9)
On infinite inseparable extensions of exponent one (1965) (8)
The modular version of Maschke's theorem for normal abelian p-Sylows (1996) (8)
Self-dual and quasi self-dual algebras (2011) (8)
The Donald–Flanigan Problem for Finite Reflection Groups (2000) (6)
Least uncertainty principle in deformation quantization (2007) (5)
A selection principle in deformation quantization (2005) (5)
Finite Posets and their Representation Algebras (2010) (5)
Deformations associated with rigid algebras (2012) (5)
On modular field extensions (1968) (4)
On semicommuting matrices (1964) (4)
The fundamental form of an inseparable extension (1977) (4)
Hecke algebras, _{}_{}, and the Donald-Flanigan conjecture for _{} (1997) (4)
A Group-Theoretic Consequence of the Donald-Flanigan Conjecture (1994) (4)
ON THE ALGEBRAIC STRUCTURE OF (2016) (4)
On the construction of division rings by the deformation of fields. (1966) (4)
Hecke algebras, $U_qsl_n$, and the Donald--Flanigan conjecture for $S_n$ (1995) (4)
ON EXTREMAL QUASI-CONFORMAL MAPPINGS. II. (1954) (4)
Path algebras, wave-particle duality, and quantization of phase space (2015) (3)
Division rings containing a real closed field (1960) (3)
On a theorem of Haupt and Wirtinger concerning the periods of a differential of the first kind, and a related topological theorem (1953) (3)
On canonical constructions. III (1956) (3)
A Procedure for Finding a Zero of a Vector-Valued Function with Certain Monotonicity Properties (1960) (3)
Undergraduate Mathematics Training in 1984—Some Predictions (1972) (2)
New Universal Deformation Formulas for deformation quantization (2018) (2)
Note on a theorem of Wielandt (1959) (2)
A Solution for the Transportation Problem (1958) (2)
On the Hodge decomposition of differential graded bi-algebras (2001) (2)
On the deformation of path algebras (2013) (2)
ON CANONICAL CONSTRUCTIONS. II. (1956) (1)
Path algebras and de Broglie waves (2014) (1)
Geometry of subalgebras and inseparable extensions (1981) (1)
The fundamental form of a finite purely inseparable field extension (1972) (1)
A note on the cohomology of Lie algebras (2012) (1)
The obstruction to an automorphism of a filtered ring (1968) (0)
ON THE RIGIDITY OF GRADED ALGEBRAS1 (2010) (0)
Deformation of Koszul algebras and the Duflo Isomorphism theorem (2016) (0)
On the deformation of sheaves of rings (2015) (0)
Q A ] 2 8 D ec 2 00 5 A selection principle in deformation quantization (2008) (0)
ON CANONICAL CONSTRUCTIONS IV (2010) (0)
Deformations associated with rigid algebras (2013) (0)
A characterization of the modular group and certain similar groups (1954) (0)
ON THE DEFORMATION OF THE TWO DIMENSIONAL ASSOCIATIVE ALGEBRAS (2022) (0)
Path algebras, wave-particle duality, and quantization of phase space (2016) (0)
Deformation of Towers of Algebras and Quantized Intersection Cardinality Functions (1998) (0)
Loyola eCommons Loyola eCommons Deformations Associated with Rigid Algebras Deformations Associated with Rigid Algebras (2021) (0)
Semigroups, path algebras, and de Broglie waves (2015) (0)
On the quantization of $C^{\infty}(\mathbb R^d)$ (2021) (0)
ON CANONICAL CONSTRUCTIONS. Ill (2010) (0)
ALGEBRAS, AND THE BOCKSTEIN (1986) (0)
Self-dual and quasi self-dual algebras (2014) (0)
Problems for Solution: 4483-4487 (1952) (0)

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