2018 - Fellow of the American Mathematical Society For contributions to mathematical physics.
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.
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.
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.
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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)
Instantons on Noncommutative R 4 , and (2; 0) Superconformal Six Dimensional Theory
Nikita Nekrasov;Albert S. Schwarz.
Communications in Mathematical Physics (1998)
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)
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)
The Partition Function of Degenerate Quadratic Functional and Ray-Singer Invariants
Albert S. Schwarz.
Letters in Mathematical Physics (1978)
Geometry of Batalin-Vilkovisky quantization
Albert S. Schwarz.
Communications in Mathematical Physics (1993)
The partition function of a degenerate functional
Albert S. Schwarz.
Communications in Mathematical Physics (1979)
Khovanov-Rozansky homology and topological strings
Sergei Gukov;Albert Schwarz;Cumrun Vafa.
Letters in Mathematical Physics (2005)
Introduction to M(atrix) theory and noncommutative geometry
Anatoly Konechny;Anatoly Konechny;Albert S. Schwarz.
Physics Reports (2002)
Quantum fluctuations of instantons in the nonlinear σ model
V.A. Fateev;I.V. Frolov;A.S. Schwarz.
Nuclear Physics (1979)
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