| PhD Curriculum / full-time study, study period – 4 years, year of admission – 2024 / PhD Program: “Mathematics and Mechanics” / Track “Mathematics” research area: “1.1.2 Differential Equations and Mathematical Physics”, “1.1.3 Geometry and Topology”, 1.1.5. Mathematical Logic, Algebra, Number Theory and Discrete Mathematics |
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| # | Code | Course Title | ECTS credits | Element status | Study period, year of study |
| 1. PhD Thesis Research | |||||
| Thesis Research | - | Compulsory | 1-4 | ||
| 2. Coursework | |||||
| Research Methodology | 6 | Compulsory | 1-2 | ||
| 1 | DG060268 | Research Seminar “Modern Problems of Mathematical Physics” | 6 | ||
| Advanced Major Field Courses from the list: | 12 | Compulsory | 1-2 | ||
| 2 | MA060690 | Classical Groups, their Invariants and Representations | 6 | ||
| 3 | DA060271 | Geometric Representation Theory | 6 | ||
| 4 | MA060597 | Cluster Varieties and Integrable Systems | 6 | ||
| 5 | MA060692 | Cluster Integrable Systems | 6 | ||
| 6 | MA060693 | Characteristic Classes | 6 | ||
| 7 | MA060694 | Introduction to Two-Dimensional Conformal Field Theory | 6 | ||
| 8 | MA060257 | Modern Dynamical Systems | 6 | ||
| 9 | MA060601 | Geometry in Field Theory, First Step | 6 | ||
| 10 | MA060602 | Integrable Many-Body Systems and Nonlinear Equations | 6 | ||
| 11 | MA060695 | Integrable Systems of Classical Mechanics | 6 | ||
| 12 | MA060696 | Derived Equivalences of Satake | 6 | ||
| 13 | MA060697 | Hamiltonian Mechanics | 6 | ||
| 14 | MA060698 | Around the Ising Model in 20 Hours | 6 | ||
| 15 | MA060505 | Introduction to Quantum Field Theory | 6 | ||
| 16 | MA060699 | Methods of Conformal Field Theory for Quantum Field Theory and String Theory | 6 | ||
| General Doctoral courses | 9 | Compulsory | 1-2 | ||
| 17 | DG060026 | History and Philosophy of Science. Candidate Exam | 6 | ||
| 18 | DG030003 | English. Candidate Exam | 3 | ||
| Optional Courses | Optional | 1-2 | |||
| 19 | DF030029 | Academic Communication: Preparatory English for PhD Exam | 3 | ||
| 20 | Entrepreneurship and Innovation courses from Course Catalog | ||||
| DG030005 | Pedagogical Experience | 3 | Compulsory | 1-2 | |
| DD060021 | Thesis Proposal Defense | 6 | Compulsory | 1-2 | |
| DD030020mm | Qualifying Exam | 3 | Compulsory | 1-2 | |
| Annual Progress Review | - | Compulsory | 1,2,3 | ||
| 3. Thesis Final Review | |||||
| Thesis Final Review | - | Compulsory | 4 | ||