Магистратура "Геометрия и квантовые поля" МГУ имени М.В. Ломоносова, Москва

Основные дисциплины:

• Geometry;
• Lie Algebras and Representations;
• Functional Analysis;
• Supermathmatics;
• Conformal Geometry;
• PDE and Integrability;
• Homological Algebra;
• Quantum Fields;
• General Relativity;
• String Theory;
• Mathematical Theory of Black Holes;
• Quantum Integrable Models;
• Topological Theories;
• Batalin-Vilkovisky Quantization;
• 2d Conformal Theories;
• Higher Spin Theories;
• Holography;
• Superstring Sigma Models;
• Dynamical Systems;
• Seiberg-Witten Invariants;
• Symmetries and Integrability of Differential Equations;
• Introduction to Supergeometry;
• Lie Groups and Lie Algebras;
• Differential Geometry and Topology;
• Conformal Geometry and Riemann Surfaces;
• Principles of QFT/Modern QFT;
• Functional Analysis and Theory of Operators;
• Introduction to CFT in Two-dimension;
• Symplectic Geometry and Quantization;
• Batalin-Vilkovisky Quantization;
• Introduction to String Theory;
• Conformal Field Theories and Holographic Dualities;
• Mathematical Theory of Black Holes;
• Topological QFT;
• Homological Algebra
• Seiberg-Witten Invariants;
• Higher Spin Theory and Holography;
• Selected Topics of General Relativity;
• Superstring Theory and Sigma Models;
• Theory of Dynamical Systems;
• Quantum Integrable Models;
• Topology of Integrable Systems;
• Geometrical Theory of Nonlinear Differential Equations.