Gerald Schwarz | Academic Influence

Gerald Schwarz's AcademicInfluence.com Rankings

Gerald Schwarz

Mathematics

#6658

World Rank

#9180

Historical Rank

#1970

USA Rank

Group Theory

#254

World Rank

#301

Historical Rank

#54

USA Rank

Algebra

#416

World Rank

#568

Historical Rank

#80

USA Rank

Measure Theory

#3442

World Rank

#4060

Historical Rank

#994

USA Rank

mathematics Degrees

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Mathematics

Gerald Schwarz's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Gerald Schwarz Influential?

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According to Wikipedia, Gerald Walter Schwarz is an American mathematician and Professor Emeritus at Brandeis University. Schwarz specializes in invariant theory, algebraic group actionss and invariant differential operators.

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Gerald Schwarz'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

SMOOTH FUNCTIONS INVARIANT UNDER THE ACTION OF A COMPACT LIE GROUP (1975) (442)
Lifting smooth homotopies of orbit spaces (1980) (248)
Inequalities defining orbit spaces (1985) (139)
Representations of simple lie groups with regular rings of invariants (1978) (138)
Topological Methods in Algebraic Transformation Groups (1989) (93)
The Topology of Algebraic Quotients (1989) (80)
Lifting differential operators from orbit spaces (1995) (72)
Reductive group actions with one-dimensional quotient (1992) (72)
Representations of simple Lie groups with a free module of covariants (1978) (69)
Cartan decomposition of the moment map (2005) (62)
Stratifications with respect to actions of real reductive groups (2006) (53)
The geometry of orbit spaces and gauge symmetry breaking in supersymmetric gauge theories (1985) (50)
Invariant theory of G2 and Spin7. (1988) (37)
Continuous linear division and extension of $\mathcal{C}^\infty$ functions (1983) (31)
Orbits and invariants associated with a pair of commuting involutions (2001) (24)
Finite automorphisms of affine n-space (1995) (22)
On the de rham cohomology of the leaf space of a foliation (1974) (22)
Arc spaces and the vertex algebra commutant problem (2011) (18)
Finite-dimensional representations of invariant differential operators, II☆ (2002) (18)
Invariant theory ofG2 and Spin7 (1988) (17)
Algebraic Quotients of Compact Group Actions (2001) (17)
The Koszul complex of a moment map (2012) (17)
Symplectic quotients have symplectic singularities (2017) (14)
An Oka principle for equivariant isomorphisms (2013) (14)
Compression of Finite Group Actions and Covariant Dimension (2006) (14)
Invariant theory of $G_2$ (1983) (13)
On classical invariant theory and binary cubics (1987) (12)
Vector fields and Luna strata (2011) (12)
Homotopy principles for equivariant isomorphisms (2015) (12)
Differential Operators on Quotients of Simple Groups (1994) (12)
When is a symplectic quotient an orbifold (2014) (11)
Jet schemes and invariant theory (2011) (11)
Quotients, automorphisms and differential operators (2012) (10)
SUFFICIENT CONDITIONS FOR HOLOMORPHIC LINEARISATION (2015) (10)
Smoothness of Quotients Associated With a Pair of Commuting Involutions (2004) (9)
Invariants of four subspaces (1998) (8)
An equivariant parametric Oka principle for bundles of homogeneous spaces (2016) (8)
Representations with a reduced null cone (2011) (7)
When Polarizations Generate (2006) (7)
Isomorphisms preserving invariants (2008) (6)
Covering smooth homotopies of orbit spaces (1977) (6)
Rational covariants of reductive groups and homaloidal polynomials (2001) (5)
REAL DOUBLE COSET SPACES AND THEIR INVARIANTS (2008) (5)
Gromov’s Oka Principle for Equivariant Maps (2019) (4)
A homomorphism of Harish-Chandra and direct images of -modules (2001) (4)
Group actions and quotients for compact Lie groups and algebraic groups (2004) (4)
Book Review: Groups, generators, syzygies, and orbits in invariant theory (1993) (4)
Invariant differential operators on symplectic grassmann manifolds (1994) (3)
Invariant Differential Operators (1995) (3)
A Characterization of Linearizability for Holomorphic ℂ*-Actions (2021) (2)
LIFTING AUTOMORPHISMS OF QUOTIENTS OF ADJOINT REPRESENTATIONS (2013) (2)
Orbits and Invariants Associated with a Pair of Spherical Varieties: Some Examples (2002) (2)
Defining orbit spaces by inequalities (1988) (2)
Linear maps preserving invariants (2007) (2)
Equivariant Oka theory: survey of recent progress (2021) (1)
On generalized Cartan subspaces (2011) (1)
An Oka principle for Stein G-manifolds (2016) (1)
Linear maps preserving fibers (2007) (1)
When does the zero fiber of the moment map have rational singularities? (2021) (1)
Linear maps preserving orbits (2009) (1)
Homology of Equivariant Vector Fields (2006) (0)
A characterization of linearizability for holomorphic $\mathbb{C}^*$-actions (2020) (0)
Topological Methods in Algebraic Transformation Groups: Proceedings of a Conference at Rutgers University (2014) (0)
C V ] 1 4 A ug 2 01 3 AN OKA PRINCIPLE FOR EQUIVARIANT (2013) (0)
An equivariant parametric Oka principle for bundles of homogeneous spaces (2017) (0)
SUFFICIENT CONDITIONS FOR HOLOMORPHIC LINEARISATION (2016) (0)
Reduced invariant sets (2011) (0)
Reductive group actions with one-dimensional quotient . Sur les espaces homogènes modèles de variétés compactes . Affine quivers and canonical bases . Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one (1992) (0)

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