MAT 560: Mathematical Physics I
Fall 2019

Place and time: MW 10:00am- 11:20pm in P122
Instructor: Alexander Kirillov, Office: Math Tower 5-116
Office hours:
Course description: This is a mathematically rigorous course on classical (mathematical) physics, with quantum physics being relegated to Part II. We will cover the following topics.
  • Classical mechanics, including Lagrangian and Hamiltonian formulations, symmetries and integrable systems (planetary motion).
  • Classical field theory, including scalar and vector fields, sigma models and gauge theories (Yang-Mills theory). Electromagnetism as U(1) gauge field theory.
  • Chern--Simons topological theory (time permitting)
Textbooks and references:
For classical mechanics, we will be using the following sources: For classical field theory, we will use the following sources: For more physical textbooks, check out the Course of Theoretical Physics by Landau and Lifshitz: Volume I: Mechanics and Volume 2: The Classical Theory of Fields

Information for students with disabilities: If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact Disability Support Services at (631) 632-6748 or They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.

Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website:

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