Writing

• We exposit Danilov’s theorem, which describes the equivariant cohomology of a smooth complete toric variety in terms of its normal fan. Equivariant Cohomology and Moment Maps in Toric Geometry (senior thesis)

Notes

• Notes for FA25 reading course on loop groups and infinite dimensional Lie algebras.
• Multiplicativity of the Euler characterstic details a cute application of the Serre spectral sequence.
• Mednykh’s Formula works out a classical formula in a toy model of topological field theory.