Sites which focus application of advanced mathematical topics in physical systems.
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Sites 18
Four seminars are held in rotation every year.
A paper by Giampiero Esposito attempting to give a self-contained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
A new method of correlating physics formulas to derive one formula from a related formula using Euclidean geometry to represent the inter-relationship of physics formulas.
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
Lecture notes from the ITP miniprogram on Geometry and Duality
This set of lecture notes by Brian C. Hall gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations.
These lecture notes by Joseph Krasil'shchik and Alexander Verbovetsky are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations.
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
How mathematics exists in the universe and is related to physical reality.
Links to open problems in mathematics, physics and other subjects.
An article by Jorge Rezende, University of Lisbon.
[PDF]
An introduction by T. Gisiger and M.B. Paranjape to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists.
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
This is a column written about modern topics in mathematical physics.
An essay by C. Nash on the historical connection between topology and physics.
Links to open problems in mathematics, physics and other subjects.
An article by Jorge Rezende, University of Lisbon.
[PDF]
Four seminars are held in rotation every year.
How mathematics exists in the universe and is related to physical reality.
This set of lecture notes by Brian C. Hall gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations.
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
An essay by C. Nash on the historical connection between topology and physics.
This is a column written about modern topics in mathematical physics.
An introduction by T. Gisiger and M.B. Paranjape to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists.
A paper by Giampiero Esposito attempting to give a self-contained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
These lecture notes by Joseph Krasil'shchik and Alexander Verbovetsky are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations.
A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
Lecture notes from the ITP miniprogram on Geometry and Duality
A new method of correlating physics formulas to derive one formula from a related formula using Euclidean geometry to represent the inter-relationship of physics formulas.
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
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October 19, 2023 at 6:35:08 UTC
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