MATHEMATICS FOR FOUNDATIONS OF PHYSICS

** available as of 06/30/2021

** available as of 06/30/2021

This course is designed for students specializing in philosophy of physics who would like additional training in the mathematical aspects of foundations of physics. The course will survey mathematical objects most frequently used in foundations of physics (e.g. manifolds, vector spaces, operator algebras, fiber bundles, etc.), together with the philosophical debates that rely heavily upon the relevant areas of mathematics. The approach will be project based: students will choose a topic of philosophical interest and sequentially develop the appropriate mathematical skillset for their chosen project.