Encyclopedia of Mathematical Physics

Dr. Irina Aref'eva will serve as Chief Executive Editor for The Modern Encyclopedia of Mathematical Physics (MEMPhys). She is professor at the Steklov Mathematical Institute Moscow, in the Department of Theoretical Physics. She is a colleague of Dr. L. Faddeev, who serves as editorial board member of the Springer journal Letters in Mathematical Physics.

1. Algebra, Geometry and Analysis in Modern Mathematical Physics 1.1 Algebra 1.2 Geometry 1.3 Analysis 2. Dynamical systems in Mathematical Physics and Classical Mathematical Physics 2.1 Classical Mechanics 2.2 Dynamical Systems 2.3 Partial Differential Equations of classical 2.4 Mechanics of continuous medium/ continuum 3. Quantum Mechanics 3.1 Quantization 3.2 Spectral and scattering theories 3.3 Inverse scattering problems 3.4 Perturbative and asymptotic methods 3.5 Quantum dynamical systems 3.6 Open quantum systems 3.7 Random potentials 3.8 Measurements and quantum information 4. Quantum Field Theory 4.1 Fields, Symmetries and Lagrangians 4.2 Quantization 4.3 Axiomatic QFT 4.4 Perturbative QFT 4.5 Non-perturbative QFT 4.6 QFT on Manifolds and in External Fields 5. Statistical Physics 5.1 Equilibrium Statistical Mechanics 5.2 Nonequilibrium Statistical Mechanics 5.3 Condensed Matter and Solid States 5.4 Disordered systems 6. Integrable Systems 6.1 Classical Integrable Models 6.2 Quantum Integrable Models 6.3 Equations 6.4 Algebro-geometrical methods 7. Mathematical aspects of General Relativity 7.1 Exact solutions of the Einstein equations 7.2 Einstein's equations with matter 7.3 Hamiltonian method in General Relativity 7.4 Variation methods in General Relativity 7.5 Global methods and singularities theorems 7.6 Black Holes 7.7 Kaluza-Klein theories 7.8 Supergravity 7.9 Brane Worlds 7.10 Einstein-Cartan Theory 7.11 Spinors, spin coefficients, and twisters 7.12 Cosmology 7.13 Computational methods in general relativity - the theory 8. String Theory 8.1 Bosonic String 8.2 Superstring Theories, 5 Types of Superstrings 8.3 D-Branes 8.4 Dualities in String Theories 8.5 String Field Theories 8.6 Compactifications. 8.7 Topological Strings 8.8 M Theory 8.9 Phenomenology of String Theories