Albert Schwarz
#3,326
Most Influential Person Now
American mathematician
Albert Schwarz's AcademicInfluence.com Rankings
Albert Schwarzmathematics Degrees
Mathematics
#193
World Rank
#441
Historical Rank
#89
USA Rank
Geometry
#16
World Rank
#35
Historical Rank
#6
USA Rank
Group Theory
#29
World Rank
#39
Historical Rank
#8
USA Rank
Differential Geometry
#37
World Rank
#44
Historical Rank
#15
USA Rank
Download Badge
Mathematics
Albert Schwarz's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Albert Schwarz Influential?
(Suggest an Edit or Addition)According to Wikipedia, Albert Solomonovich Schwarz is a Soviet and American mathematician and a theoretical physicist educated in the Soviet Union and now a professor at the University of California, Davis. Early life Schwarz was born in Kazan, Soviet Union. His parents were arrested in the Stalinist purges in 1937. He has two children: a son, Michael A. Schwarz, and a daughter.
Albert 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
- Pseudoparticle Solutions of the Yang-Mills Equations (1975) (2149)
- Noncommutative Geometry and Matrix Theory: Compactification on Tori (1997) (1626)
- Elements of Homotopy Theory (1993) (704)
- The Geometry of the Master Equation and Topological Quantum Field Theory (1995) (651)
- Instantons on Noncommutative ℝ4, and (2,0) Superconformal Six Dimensional Theory (1998) (587)
- Topological quantum field theories (2000) (475)
- Geometry of Batalin-Vilkovisky quantization (1992) (394)
- The partition function of degenerate quadratic functional and Ray-Singer invariants (1978) (358)
- Khovanov-Rozansky Homology and Topological Strings (2004) (237)
- Introduction to M(atrix) theory and noncommutative geometry (2000) (196)
- The partition function of a degenerate functional (1979) (191)
- Geometric interpretation of the partition function of 2D gravity (1991) (168)
- Quantum fluctuations of instantons in the nonlinear σ model (1979) (134)
- Field theories with no local conservation of the electric charge (1982) (132)
- On Regular Solutions of Euclidean Yang-Mills Equations (1977) (131)
- Semiclassical approximation in Batalin-Vilkovisky formalism (1992) (130)
- Morita equivalence of multidimensional noncommutative tori (1998) (121)
- Instantons and fermions in the field of instanton (1979) (120)
- Categories of Holomorphic Vector Bundles on Noncommutative Two-Tori (2002) (117)
- Dilation shift under duality and torsion of elliptic complex (1992) (76)
- Responses to `Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics', by A. Jaffe and F. Quinn (1994) (73)
- Morita equivalence and duality (1998) (71)
- Supersymmetry and localization (1995) (71)
- Geometry of superconformal manifolds (1988) (69)
- Morita equivalence and T-duality (or B versus Θ) (1999) (69)
- A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings (1987) (62)
- On some algebraic structure arising in string theory (1992) (61)
- Quantum fluctuations of multi-instanton solutions (1979) (59)
- Sigma-models having supermanifolds as target spaces (1995) (58)
- On symmetric gauge fields (1977) (58)
- On the solutions to the string equation (1991) (57)
- Quantum Field Theory and Topology (1993) (55)
- Algebraic Structure of Yang-Mills Theory (2004) (54)
- Supersymmetry in a space with auxiliary dimensions (1986) (51)
- Theta Functions on Noncommutative Tori (2001) (48)
- Anomalies and elliptic operators (1979) (47)
- The Degree of a Map (1994) (46)
- Quantization of antisymmetric tensors and ray-singer torsion (1984) (46)
- Topology for Physicists (1994) (46)
- Responses to: A. Jaffe and F. Quinn, “Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics” [Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 1, 1–13; MR1202292 (94h:00007)] (1994) (43)
- On maximally supersymmetric Yang-Mills theories (2008) (43)
- Supergravity, complex geometry andG-structures (1982) (42)
- BPS states on non-commutative tori and duality (1998) (40)
- On spherically symmetric fields in gauge theories (1977) (38)
- Integrality of instanton numbers and p-adic B-model (2006) (38)
- RADIATION-INDUCED DIMENSIONAL CHANGES AND CREEP IN CARBONACEOUS MATERIALS. (1969) (37)
- Noncommutative Instantons: A New Approach (2001) (37)
- Dimensional reduction of the gauge field theory (1981) (36)
- Catalytic graphitization of carbon by titanium (1967) (34)
- Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori (1999) (34)
- Supermoduli spaces (1990) (34)
- On Noncommutative Nahm Transform (1998) (33)
- The influence of crystallite size on the dimensional changes induced in carbonaceous materials by high-temperature irradiation (1968) (32)
- Magnetic monopoles in gauge theories (1976) (31)
- Introduction to Matrix theory and noncommutative geometry, Part II (2001) (31)
- Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra (2011) (29)
- Supersymmetric deformations of maximally supersymmetric gauge theories (2009) (29)
- Twisted de Rham cohomology, homological definition of the integral and “Physics over a ring” (2008) (28)
- Compactification of M(atrix) theory on noncommutative toroidal orbifolds (1999) (27)
- Refined Chern–Simons versus Vogel universality (2013) (27)
- Quantum Curves (2014) (26)
- Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds (2000) (26)
- Fermionic string and universal moduli space (1989) (24)
- Superanalogs of symplectic and contact geometry and their applications to quantum field theory (1994) (23)
- Are the field and space variables on an equal footing (1980) (23)
- Symmetries of WDVV equations (2005) (22)
- $A_\infty$ Algebras and the Cohomology of Moduli Spaces (1994) (22)
- Noncommutative supergeometry, duality and deformations (2002) (22)
- Grand unification and mirror particles (1982) (21)
- Superconformal geometry and string theory (1989) (20)
- Symmetry transformations in Batalin-Vilkovisky formalism (1993) (20)
- Projective modules over non-commutative tori: classification of modules with constant curvature connection (1999) (19)
- Geometry ofN=1 supergravity (1984) (19)
- ON SOME MATHEMATICAL PROBLEMS OF 2D-GRAVITY AND Wh- GRAVITY (1991) (19)
- Noncommutative Supergeometry and Duality (1999) (18)
- A model to describe neutron-induced dimensional changes in pyrolytic carbon (1967) (18)
- On quantum fluctuations of instantons (1978) (18)
- 1/4-BPS states on noncommutative tori (1999) (18)
- Grassmannian and String Theory (1996) (18)
- The solution space of the unitary matrix model string equation and the Sato Grassmannian (1991) (17)
- Integral invariants for supercanonical transformations (1981) (17)
- Integrality theorems in the theory of topological strings (2008) (17)
- Quantum Observables, Lie Algebra Homology and TQFT (1999) (16)
- On (k ⊕ l/q)-dimensional supermanifolds (1997) (16)
- Geometry ofN=1 supergravity (II) (1984) (15)
- Effect of high neutron exposure on the dimensions of pyrolytic carbons (1969) (15)
- Supergravity and field space democracy (1981) (15)
- Matrix Vieta Theorem (1994) (14)
- Homology of Lie algebra of supersymmetries (2010) (14)
- Quantum fluctuations of instantons in two-dimensional nonlinear theories (1979) (14)
- Gauge theories on noncommutative spaces (2000) (13)
- Quantization and holomorphic anomaly (2006) (12)
- Gluing Theorem, Star Product and Integration in Open String Field Theory in Arbitrary Background Fields (1991) (12)
- Matrix Vieta Theorem Revisited (1997) (12)
- Frobenius transformation, mirror map and instanton numbers (2006) (11)
- Virasoro model space (1990) (11)
- Theory of (k ⊕ l|q)-dimensional supermanifolds (10)
- Families of gauge conditions in BV formalism (2016) (10)
- Space and time from translation symmetry (2006) (10)
- Supergeometry and Arithmetic Geometry (2006) (10)
- A-model and generalized Chern–Simons theory (2005) (9)
- A few comments on the string representation of gauge fields (1980) (9)
- Pseudoparticle Solutions of the Yang-Mills Equations - Phys. Lett. B59, 85 (1975) (1996) (9)
- Integral invariants in flat superspace (2014) (8)
- Supersymmetry and Complex Geometry (1989) (8)
- Vortices in unified theories of weak and electromagnetic interactions (1980) (8)
- LEFSCHETZ TRACE FORMULA AND BRST (1989) (8)
- Framing the Di-Logarithm (over Z) (2013) (8)
- Mathematical Foundations of Quantum Field Theory (2020) (8)
- Theory of $ (k\oplus l |q) $-dimensional supermanifolds (2000) (7)
- Noncommutative Algebraic Equations and the Noncommutative Eigenvalue Problem (2000) (7)
- Axiomatic Conformal Theory in Dimensions >2 and AdS/CT Correspondence (2015) (6)
- Fourier duality of quantum curves (2015) (6)
- Spherically symmetric solitons (1978) (6)
- Geometric Approach to Quantum Theory (2019) (6)
- Scattering matrix and inclusive scattering matrix in algebraic quantum field theory (2019) (6)
- Determinants of Elliptic Operators (1993) (6)
- Gauge theories on noncommutative euclidean spaces (2001) (5)
- Cohomology of Moduli Spaces (1995) (5)
- Moduli Spaces and Grassmannian (2011) (5)
- Scattering in Geometric Approach to Quantum Theory (2021) (5)
- Investigation of Atmospheric Pressure CVD‐Produced Aluminum Coatings for the Protection of Steel from Corrosion (2010) (5)
- Quantization of classical curves (2014) (5)
- Comments on a unifying coating parameter (1967) (5)
- On the instanton contribution in euclidean green functions (1979) (5)
- Geometric and algebraic approaches to quantum theory (2021) (5)
- Integrality of Framing and Geometric Origin of 2-functions (2017) (5)
- Some remarks on Gopakumar-Vafa invariants (2004) (4)
- Equivariant Cohomology of Infinite-Dimensional Grassmannian and Shifted Schur Functions (2012) (4)
- Inclusive scattering matrix and scattering of quasiparticles (2019) (4)
- Generalized Chern-Simons action and maximally supersymmetric gauge theories (2013) (4)
- Geometry of N = 1 super Yang-Mills theory in curved superspace (1996) (4)
- Scattering in Algebraic Approach to Quantum Theory—Associative Algebras (2021) (4)
- SUPERGRASSMANNIANS, SUPER τ-FUNCTIONS AND STRINGS (1990) (4)
- Magnetic monopoles in unified theories of electromagnetic, weak, and strong interactions (1980) (4)
- The Magnetic Charge (1993) (3)
- p-adic Superspaces and Frobenius (2006) (3)
- BPS states on noncommutative tori (1999) (3)
- Weierstrass cycles in moduli spaces and the Krichever map (2012) (3)
- Grassmannian and elliptic operators (1997) (3)
- Cohomology ring of the BRST operator associated to the sum of two pure spinors (2013) (3)
- Supergravity and complex geometry (1981) (2)
- Scattering in Algebraic Approach to Quantum Theory—Jordan Algebras (2023) (2)
- Axiomatic conformal field theory in dimensions >2 and AdS/CFT (2015) (1)
- Natural Differential Operators and Graph Complexes (2006) (1)
- Asymptotic commutativity in Jordan algebras (2023) (1)
- Pilot scale extrusion of graphite fuel elements for HTGRS (1966) (1)
- Quantum fluctuations of instantons in a two-dimensional nonlinear anisotropic sigma-model (1980) (1)
- Remarks on Virasoro Model Space (1990) (1)
- Quantum deformation of planar amplitudes (2017) (1)
- STATISTICS OF SKYRMIONS (1989) (1)
- Applications of Topology to Physics (1993) (1)
- Topology of Lie Groups and Homogeneous Manifolds (1994) (1)
- Local area-preserving algebras for two-dimensional surfaces (2016) (1)
- High-temperature gas-cooled reactor development outside the United States: a manufacturer's view (1973) (0)
- The Number of Instanton Parameters (1993) (0)
- A ] 2 0 A ug 1 99 8 Morita equivalence of multidimensional noncommutative tori (2008) (0)
- . N T ] 2 1 M ar 2 00 7 p-adic superspaces and Frobenius (2007) (0)
- Adiabatic theorem in axiomatic quantum field theory (1974) (0)
- Topologically Non-Trivial Strings (1993) (0)
- Lagrangians of Strong, Weak and Electromagnetic Interactions (1993) (0)
- Quantum deformation of planar amplitudes (2018) (0)
- Families of gauge conditions in BV formalism (2017) (0)
- Vladimir Antonovich Zorich (2018) (0)
- 11 5 v 2 2 3 O ct 1 99 2 Semiclassical approximation in Batalin-Vilkovisky formalism (1993) (0)
- N ov 2 01 9 Inclusive scattering matrix and scattering of quasiparticles (2019) (0)
- J ul 2 00 1 Introduction to M ( atrix ) theory and noncommutative geometry (0)
- 11 9 v 4 2 3 Se p 20 05 Some remarks on Gopakumar-Vafa invariants (2005) (0)
- Particles Corresponding to Nonquadratic Lagrangians (1993) (0)
- Hence, the element "'i corresponds to an element of the Berezin algebra B~, q, and this is what we needed to prove. I am thankful to A. S. Shvarts for suggesting the problem and for his interest in the work. (1985) (0)
- Estimates of the Energy of a Magnetic Monopole (1993) (0)
- 06 01 03 5 v 1 6 J an 2 00 6 2005-01 Space and time from translation symmetry (2006) (0)
- Particles in Gauge Theories (1993) (0)
- Definitions and Notations (1993) (0)
- v 3 4 M ay 2 00 5 Some remarks on Gopakumar-Vafa invariants . (2005) (0)
- Supersymmetric deformations of maximally supersymmetric gauge theories (2012) (0)
- Applications of Functional Integrals to Quantum Theory (1993) (0)
- Extrema of Symmetric Functionals (1993) (0)
- 11 28 1 v 1 2 6 N ov 2 00 6 Quantization and holomorphic anomaly (2008) (0)
- 2 4 J an 2 00 7 Quantization and holomorphic anomaly (2007) (0)
- Equivalence Relations and Quotient Spaces (1993) (0)
- A ] 2 2 Ju n 19 98 Morita equivalence of multidimensional noncommutative tori (2008) (0)
- The Fundamental Group and Covering Spaces (1994) (0)
- Functional Integrals for a Theory Containing Fermion Fields (1993) (0)
- Particles in the Presence of Strings (1993) (0)
- Multivalued Action Integrals (1993) (0)
- The Adjoint Representation of a Lie Group (1993) (0)
- Electromagnetic Field Strength and Magnetic Charge in Gauge Theories (1993) (0)
- Topological Integrals of Motion in Gauge Theory (1993) (0)
- Homotopy Theory of Fibrations (1994) (0)
- 1 2 6 M ay 1 99 2 Geometry of Batalin-Vilkovisky quantization . (0)
- ’t Hooft—Polyakov Monopoles (1993) (0)
- Fibrations and Homotopy Groups (1994) (0)
- Relation between the particle-like solutions of the classical equations and the quantum particles (1975) (0)
- A Two-Dimensional Model. Abrikosov Vortices (1993) (0)
- Computation of the Instanton Contribution (1993) (0)
- Geometry of Gauge Fields (1994) (0)
- Geometry of minimal and alternative minimal supergravity (1983) (0)
- Instantons in Quantum Chromodynamics (1993) (0)
- Topological Integrals of Motion (1993) (0)
- Moduli Spaces and Grassmannian (2013) (0)
- The Index and Other Properties of Elliptic Operators (1993) (0)
- Axiomatic Conformal Theory in Dimensions >2 and AdS/CT Correspondence (2016) (0)
- Topologically Stable Defects (1993) (0)
- Differential Forms and Homology in Euclidean Space (1994) (0)
- A few remarks on the construction of solutions of non-linear equations (1982) (0)
- 04 12 11 9 v 1 1 2 D ec 2 00 4 Some remarks on Gopakumar-Vafa invariants (2005) (0)
- The Simplest Lagrangians (1993) (0)
- Quantum mechanics and quantum field theory. Algebraic and geometric approaches (2023) (0)
- A ug 1 99 9 1 / 4-BPS states on noncommutative tori (2008) (0)
- Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves (2013) (0)
- 01 11 17 4 v 1 2 0 N ov 2 00 1 Gauge theories on noncommutative euclidean spaces (2008) (0)
- Quantum Curves (2015) (0)
- Alexandre Mikhailovich Vinogradov (2020) (0)
- Homotopy Classification of Maps of the Sphere (1994) (0)
- M ay 2 01 3 UCB-PTH-13 / 04 Refined Chern-Simons versus Vogel universality (2013) (0)
- 05 01 11 9 v 1 1 6 Ja n 20 05 A-model and generalized Chern-Simons theory (2005) (0)
- Supergeometry, Supersymmetry and Quantization (2020) (0)
- Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves (2015) (0)
- Homology and Cohomology (1994) (0)
- Quantization of Gauge Theories (1993) (0)
- Year 2 Update: Investigation of Chemical Vapor Deposited Aluminum as a Replacement Coating for Cadmium (2007) (0)
- IRRADIATION TESTS OF PYROLYTIC-CARBON-COATED ThC$sub 2$ AND ThO$sub 2$ PARTICLES. (1966) (0)
- IRRADIATION-INDUCED DENSIFICATION OF PYROLYTIC CARBON. (1967) (0)
- Iterated integrals on affine curves (2019) (0)
This paper list is powered by the following services:
Other Resources About Albert Schwarz
What Schools Are Affiliated With Albert Schwarz?
Albert Schwarz is affiliated with the following schools:
