Academic Notes

Materials associated with the courses at the Lomonosov Moscow State University (MSU)

• Differential Geometry and Topology

• Lie groups and Lie algebras I

• Algebraic Structures in Integrable Systems

• Functional Analysis and Theory of Operators

• Introduction to Conformal Field Theory in Two Dimensions

• Lie groups and Lie algebras II

• Conformal Geometry and Riemann Surfaces 

• Introduction to Supergeometry

• Symplectic Geometry and Quantizaton

• Batalin-Vilkovisky Quantization

Materials associated with the courses at the Moscow Institute of Physics and Technology (MIPT)

• Real Analysis 2

• Zotov's Lectures on Classical Integrable Systems

• Introduction to Group Theory

• Representation Theory

• Complex Analysis

• Partial Differential Equations I

• Partial Differential Equations II

• Integrable Hierarchies

• Classical Field Theory

• Quantum Mechanics I

• Quantum Mechanics II

• Statistical Mechanics

• Statistical Field Theory

• Theory of General Relativity

• Quantum Field Theory I

• QFT I Lecture Notes by Elena

• Conformal Field Theory

• CFT Lecture Notes by Elena

• Matrix Models Lecture Notes by Elena