On the Origins of Twister Theory
- A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.
- http://users.ox.ac.uk/~tweb/00001/

Intrinsic Localized Modes
- Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
- http://www.lassp.cornell.edu/~sievers/ilm/

Inexplicable Secrets of Creation
- Relationships between number theory and physics.
- http://www.maths.ex.ac.uk/~mwatkins/isoc/

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 PDF format on finding exact solutions to the KdV equation using the method
- http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html

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 linear first and second order ordinary differential equations.
- http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/

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 emphasis en the applications to Physics.
- http://clifford-algebras.org

Geometry and Duality
- Lecture notes from the ITP miniprogram on Geometry and Duality
- http://online.itp.ucsb.edu/online/geom/

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.
- http://world.std.com/~sweetser/quaternions/qindex/qindex.html

Solitons
- Resources at Heriot-Watt University. Meetings, local and other links.
- http://www.ma.hw.ac.uk/solitons/

The Dirac Delta Function
- A brief introduction to the properties and uses of the Dirac delta function.
- http://www.sci.hkbu.edu.hk/msc/full/billy/node5.html#SECTION00120000000000000000

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).
- http://www.lqp.uni-goettingen.de/lqp/

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 methods, heaven spaces.
- http://arxiv.org/abs/gr-qc/9911051

Five Lectures on Soliton Equations
- A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
- http://arxiv.org/abs/q-alg/9712005

Period and energy in one degree of freedom systems
- An article by Jorge Rezende, University of Lisbon (PDF).
- http://gfm.cii.fc.ul.pt/Members/jr_periodenergy1.pdf

Topology and Physics
- An essay by C. Nash on the historical connection between topology and physics.
- http://arxiv.org/abs/hep-th/9709135

Symplectic Geometries in Quantum Physics and Optics
- A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
- http://arxiv.org/abs/quant-ph/9509002

Non Commutative Geometry
- Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
- http://dftuz.unizar.es/~rivero/research/index.html

An Introduction to Noncommutative Geometry
- A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
- http://arxiv.org/abs/physics/9709045

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 and particle physicists.
- http://arxiv.org/abs/hep-th/9812148

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 differential equations.
- http://arxiv.org/abs/math.DG/9808130

Lectures on Orientifolds and Duality
- Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
- http://arxiv.org/abs/hep-th/9804208

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 canonical commutation relations.
- http://arxiv.org/abs/quant-ph/9912054

This Week's Finds in Mathematical Physics
- This is a column written about modern topics in mathematical physics.
- http://math.ucr.edu/home/baez/TWF.html

Discrete Self-trapping Equation
- A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
- http://www.ma.hw.ac.uk/~chris/dst/

Hyperreal World
- Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
- http://www.sun-inet.or.jp/~leibniz/math/

Mathematical Methods I
- This site contains the complete lecture notes and homework sets for PHYCS498MMA, a course of mathematical methods for physics given to entering graduate students, and senior undergraduates, at the University of Illinois at Urbana-Champaign.
- http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html

Dimensional Analysis
- A simple review of the powerful technique of dimensional analysis.
- http://www.physics.uoguelph.ca/tutorials/dimanaly/

Twistors- What are they?
- A set of notes introducing spinors and twistors.
- http://www.compsoc.net/~fedja/twistors/twistors.html