Syllabus:

Number Theory:

• Exposition of Cassels' article on global fields
• Exposition of Humphrey's book on arithmetic groups

Lie Algebras:

Humphreys, Introduction to Lie Algebras and Representation Theory

• Section 1
• Section 2
• Section 3
• Section 4
• Section 5

Vertex Operator Algebras:

• An introduction to vertex operator algebras

Some Background Material:

• Topological groups
• Lie groups