Introduction

Part II

• Galois Theory: Finding Galois Groups
• Galois Theory: Trace and Norm
• Galois Theory: Correspondence
• Galois Theory: Finding Subfields
• PQM: Adding Angular Momentum
• PQM: Clebsch-Gordan Decomposition

Course Summaries

• Part II Number Fields (L1-9)
• Part II Logic and Set Theory (L1-8)
• Part II Statistical Physics (L1-4)
• Part IB Complex Analysis
• Part IB Quantum Mechanics
• Part IB Linear Algebra

Other Interesting Maths

• Groups - Extra Stuff — notes on some topics in group theory not on the first-year course, such as semidirect products, Sylow theorems and interesting results about abelian groups.