April 2026
Brauer Group
An introduction to Brauer groups, first for a field (i.e., Spec k for a geometer) and then for a scheme.
AlgebraAlgebraic Geometry
Read more →Tag
Algebraic Geometry
April 2025
Beilinson's Resolution of the Diagonal
An explanation of Beilinson's famous 'Problems in Linear Algebra', in particular showing how his paper gives a full strong exceptional collection and a derived equivalence to quiver representations.
Algebraic GeometryCategory Theory
Read more →October 2024
Stability Conditions
An introduction to Bridgeland stability, which, granted, doesn't get much farther than discussing t-structures.
Algebraic GeometryCategory Theory
Read more →August 2024
Syzygies in Algebraic Geometry
An introduction to syzygies and minimal free resolutions in the context of algebraic geometry, with an emphasis on Castelnuovo-Mumford regularity.
Algebraic Geometry
Read more →April 2024
Variations of Hodge Structures
A note on how families of complex manifolds give rise to a 'variation of hodge structures'. Along the way, we compute the monodromy representation on cohomology for the Legendre family.
Algebraic Geometry
Read more →