An Introduction to Noncommutative Geometry
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
Complex Geometry of Nature and General Relativity
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…
Differential Equations and Oscillations
Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with lin…
Dimensional Analysis
A simple review of the powerful technique of dimensional analysis.
Doing Physics with Quaternions
A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
Five Lectures on Soliton Equations
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
Geometry and Duality
Lecture notes from the ITP miniprogram on Geometry and Duality
Holomorphic Methods in Mathematical Physics
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…
Homological Methods in Mathematical Physics
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 diff…
Journal on Applied Clifford Algebra
Journal devoted to the development of Geometric Analysis in particular through the use of Clifford Algebras, Quaternions, Hypercomplex Analysis and Multivector Techniques. Main emp…
Klaus Brauer's Soliton Page
Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, two- and three-soliton solutions to the Korteweg-de Vries equation. Includes an article in …
Lectures on Orientifolds and Duality
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
Local Quantum Physics Crossroads
An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
Open Problems in Mathematics and Physics
Links to open problems in mathematics, physics and other subjects.
Period and energy in one degree of freedom systems
An article by Jorge Rezende, University of Lisbon (PDF).
Recent Developments in Skyrme Models
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…
Symplectic Geometries in Quantum Physics and Optics
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
This Week's Finds in Mathematical Physics
This is a column written about modern topics in mathematical physics.
Topology and Physics
An essay by C. Nash on the historical connection between topology and physics.
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