2013 - Fellow of the American Mathematical Society
Sheldon Katz mostly deals with Supersymmetry, Theoretical physics, Mathematical physics, Compactification and Pure mathematics. A large part of his Supersymmetry studies is devoted to Superpotential. In his study, Gaugino, Conifold, Symmetry and Weyl group is inextricably linked to Quiver, which falls within the broad field of Superpotential.
His Mathematical physics research incorporates themes from Quantum electrodynamics, Mirror symmetry and Moduli space. His studies deal with areas such as Quantum cohomology, SYZ conjecture, Toric variety and Riemann surface as well as Mirror symmetry. In the subject of general Pure mathematics, his work in Cohomology, Differential form and Fibered knot is often linked to Fibration, thereby combining diverse domains of study.
His main research concerns Pure mathematics, Theoretical physics, Moduli space, Mirror symmetry and Mathematical physics. His Conifold and Heterotic string theory study, which is part of a larger body of work in Theoretical physics, is frequently linked to Duality, bridging the gap between disciplines. His study in Conifold is interdisciplinary in nature, drawing from both Quiver and Superpotential.
The Moduli space study combines topics in areas such as Surface, Brane cosmology, Higgs boson and Gauge theory. His Mirror symmetry study combines topics from a wide range of disciplines, such as Superstring theory, Toric variety and Weighted projective space. His work deals with themes such as Algebraic geometry and Monodromy, which intersect with Mathematical physics.
Sheldon Katz spends much of his time researching Pure mathematics, Calabi–Yau manifold, Moduli space, Compactification and Anomaly. His studies in Calabi–Yau manifold integrate themes in fields like F-theory, Structure, Cover and Orientation. His Moduli space study incorporates themes from Gauge theory, Mathematical physics, Tangent and Algebra.
His biological study deals with issues like Effective action, which deal with fields such as Supersymmetric gauge theory. As a part of the same scientific family, Sheldon Katz mostly works in the field of Anomaly, focusing on Moduli and, on occasion, Higgs field, Point, Brane cosmology and Nilpotent. His Homogeneous space study integrates concerns from other disciplines, such as Quiver and Chern class.
His primary areas of investigation include Pure mathematics, Anomaly, Calabi–Yau manifold, Moduli space and Quantum cohomology. His study in Pure mathematics focuses on Conjecture in particular. Sheldon Katz combines subjects such as Compactification, F-theory, Boundary, Limit and Degenerate energy levels with his study of Calabi–Yau manifold.
His F-theory study is focused on Theoretical physics in general. Sheldon Katz interconnects Product and Algebra in the investigation of issues within Moduli space. His Quantum cohomology research incorporates elements of Sheaf cohomology, String and Quantum.
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Mirror symmetry and algebraic geometry
David A. Cox;Sheldon Katz.
(1999)
Mirror Symmetry
Eric Zaslow;Ravi Vakil;Kentaro Hori;Richard Thomas.
(2003)
Geometric engineering of quantum field theories
Sheldon H. Katz;Albrecht Klemm;Cumrun Vafa.
Nuclear Physics (1997)
Mirror symmetry and Exact Solution of 4D N=2 Gauge Theories I
Sheldon Katz;Peter Mayr;Cumrun Vafa.
Advances in Theoretical and Mathematical Physics (1997)
Matter from geometry
Sheldon H. Katz;Cumrun Vafa.
Nuclear Physics (1997)
Mirror Symmetry for Two Parameter Models - II *
Philip Candelas;Philip Candelas;Philip Candelas;Anamaria Font;Sheldon H. Katz;David R. Morrison;David R. Morrison.
Nuclear Physics (1994)
M theory, topological strings and spinning black holes
Sheldon H. Katz;Albrecht Klemm;Cumrun Vafa.
Advances in Theoretical and Mathematical Physics (1999)
Enhanced gauge symmetry in type II string theory
Sheldon H. Katz;David R. Morrison;M.Ronen Plesser.
Nuclear Physics (1996)
A Geometric unification of dualities
F. Cachazo;B. Fiol;K. Intriligator;S. Katz;S. Katz.
Nuclear Physics (2002)
Small instantons, del Pezzo surfaces and type I′ theory
Michael R. Douglas;Sheldon Katz;Cumrun Vafa;Cumrun Vafa.
Nuclear Physics (1997)
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