MASTER′S PROGRAM OF LOMONOSOV MOSCOW STATE UNIVERSITY (MSU)
GEOMETRY AND QUANTUM FIELDS
OVERVIEW:
The Master's degree program Geometry and Quantum Fields features courses in mathematics, theoretical physics and their applications. The focus of the program is on the physics and mathematics of the fundamental interactions, with a special emphasis on quantum gravity. A unique aspect of the program is its aim to integrate a variety of mathematical disciplines, with special attention to geometry, along with courses in quantum field theory, gravity, string theory and holography.
The program also comprises an individual research project supervised by leading researchers from MSU or other partner-institutes in Moscow. Students will have an opportunity to discuss cutting edge research and perform their M.Sc. dissertation work under the supervision of researchers from ITMP, academic staff of the Faculty of Mechanics and Mathematics, as well as active scientists from the Russian Academy of Sciences (RAS) and other local/foreign reputable scientific research institutes who are world class experts in the fields of mathematics and physics.
PROGRAM DIRECTORS:
Professor Arkady Tseytlin Director of Institute for Theoretical and Mathematical Physics (Lomonosov Moscow State University), Professor of Theoretical Physics (Imperial College London)
Professor Andrei Shafarevich Dean of the Faculty of Mechanics and Mathematics (Lomonosov Moscow State University)
APPLICATION PERIODS:
International applicants:
June 15,2024 — July 20,2024
All prospective candidates for the program are required to participate in a preliminary interview conducted by ITMP MSU. The deadline for registration to schedule an interview is July 10, 2024. To secure an interview slot, applicants can submit their application to admissions@itmp.msu.ru or at AcademicJobsOnline.
PROGRAM INFORMATION:
Duration: 2 years (4 semesters), full-time and on-campus
ECTS: 120
Starting date: September 1
Enrollment capacity: 15 tuition-free places
Language: English
Scholarships: granted on a competitive basis; include up to 10 tuitinon grants; up to10 monthly stipends
GRADUATE PROGRAM COURSE OUTLINES
Year 1
• 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 Dimensions;
• Symplectic Geometry and Quantization;
• Batalin-Vilkovisky Quantization.
Year 2
• 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;
• Geometric Theory of Nonlinear Differential Equations.
