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- Albert S. Schwarz

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
11,162
157
World Ranking
1256
National Ranking
576

2018 - Fellow of the American Mathematical Society For contributions to mathematical physics.

- Supersymmetry
- Quantum mechanics
- Supermanifold

In the field of Mathematical physics Albert Schwarz connects related research areas like Invariant (physics), String (physics) and Supersymmetry. His Coherent sheaf research incorporates elements of Derived category and Vector bundle. While working on this project, Albert Schwarz studies both Vector bundle and Coherent sheaf. Pure mathematics is closely attributed to Theta function in his work. He conducts interdisciplinary study in the fields of Geometry and Torus through his works. Albert Schwarz combines topics linked to Supersymmetry with his work on Quantum mechanics. The study of Algebra over a field is intertwined with the study of Pure mathematics in a number of ways. He performs multidisciplinary study in Noncommutative geometry and Noncommutative algebraic geometry in his work. Noncommutative algebraic geometry connects with themes related to Noncommutative quantum field theory in his study.

- Geometry of Batalin-Vilkovisky quantization (209 citations)
- Categories of Holomorphic Vector Bundles on Noncommutative Two-Tori (64 citations)
- Morita equivalence and T-duality (or B versus Θ) (54 citations)

Albert Schwarz links relevant scientific disciplines such as Quantum, Moduli and Gauge theory in the realm of Quantum mechanics. Many of his studies on Pure mathematics apply to Equivalence (formal languages) as well. His Mathematical physics study frequently draws connections between related disciplines such as Invariant (physics). His research on Algebra over a field often connects related areas such as Algebra representation. His Algebra representation study frequently draws connections to adjacent fields such as Algebra over a field. He conducted interdisciplinary study in his works that combined Geometry and Torus. His study deals with a combination of Torus and Geometry. He performs multidisciplinary studies into Noncommutative geometry and Commutative property in his work. His multidisciplinary approach integrates Commutative property and Noncommutative geometry in his work.

- Pure mathematics (87.88%)
- Mathematical physics (69.70%)
- Quantum mechanics (45.45%)

- Pure mathematics (100.00%)
- Mathematical physics (100.00%)
- Quantum mechanics (66.67%)

The study of Pure mathematics is intertwined with the study of Submanifold in a number of ways. Mathematical physics connects with themes related to BRST quantization in his study. His study brings together the fields of Mathematical physics and BRST quantization. His research on Quantum mechanics frequently connects to adjacent areas such as Lambda. His Musical study frequently links to related topics such as Formalism (music). As part of his studies on Formalism (music), Albert Schwarz often connects relevant areas like Visual arts. His study in Musical extends to Visual arts with its themes. In his works, he conducts interdisciplinary research on Invariant (physics) and Gauge theory. He integrates Gauge theory and Invariant (physics) in his research.

- Quantum Curves (11 citations)
- Integral invariants in flat superspace (6 citations)
- Families of gauge conditions in BV formalism (6 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Noncommutative Geometry and Matrix Theory: Compactification on Tori

Alain Connes;Michael R. Douglas;Michael R. Douglas;Albert S. Schwarz;Albert S. Schwarz;Albert S. Schwarz.

Journal of High Energy Physics **(1998)**

2804 Citations

Instantons on Noncommutative R 4 , and (2; 0) Superconformal Six Dimensional Theory

Nikita Nekrasov;Albert S. Schwarz.

Communications in Mathematical Physics **(1998)**

690 Citations

The Geometry of the Master Equation and Topological Quantum Field Theory

M. Alexandrov;A. Schwarz;O. Zaboronsky;M. Kontsevich.

International Journal of Modern Physics A **(1997)**

682 Citations

The Geometry of the Master Equation and Topological Quantum Field Theory

M. Alexandrov;M. Kontsevich;A. Schwarz;O. Zaboronsky.

arXiv: High Energy Physics - Theory **(1995)**

632 Citations

The Partition Function of Degenerate Quadratic Functional and Ray-Singer Invariants

Albert S. Schwarz.

Letters in Mathematical Physics **(1978)**

549 Citations

Geometry of Batalin-Vilkovisky quantization

Albert S. Schwarz.

Communications in Mathematical Physics **(1993)**

454 Citations

The partition function of a degenerate functional

Albert S. Schwarz.

Communications in Mathematical Physics **(1979)**

309 Citations

Khovanov-Rozansky homology and topological strings

Sergei Gukov;Albert Schwarz;Cumrun Vafa.

Letters in Mathematical Physics **(2005)**

269 Citations

Introduction to M(atrix) theory and noncommutative geometry

Anatoly Konechny;Anatoly Konechny;Albert S. Schwarz.

Physics Reports **(2002)**

268 Citations

Quantum fluctuations of instantons in the nonlinear σ model

V.A. Fateev;I.V. Frolov;A.S. Schwarz.

Nuclear Physics **(1979)**

253 Citations

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