notes (html|pdf) on etingof's course on infinite dimensional lie algebras

notes (pdf) on etingof's course on algebraic D-modules

notes (pdf|github) on jacquet functors for the quantum local langlands conjectures.

calculations (pdf|github) in the homotopical algebra of kodaira-spencer gravity and the topological string

notes (pdf) on algebraic loop spaces and the chiral conformal field theories known as the affine W-algebras

An elementary construction (slides|notes) of an automorphic correction of an infinite-dimensional generalized Borcherds-Kac-Moody super lie algebra, along with its conjectural role in the enumerative geometry of compact Calabi-Yau threefolds.