Introduction to BV Formalism
Seminar notes on the Batalin–Vilkovisky formalism, from differential and graded geometry to the classical and quantum master equations.
PERSONAL LEARNING ARCHIVE
Notes from ongoing study.
A growing collection of study notes in quantum field theory, mathematics, and condensed matter physics. Selected manuscripts are available to read online as PDFs and to download.
01 / STUDY AREA
Quantum Field Theory
Quantization, field theory, and the mathematical structures behind them.
02 / STUDY AREA
Mathematics
Algebra, geometry, topology, and categorical perspectives.
Introduction to Non-commutative Geometry
Seminar notes on geometry through algebras, Hochschild (co)homology, spectra, and the geometry of categories.
03 / STUDY AREA
Condensed Matter Physics
Topological phases, quantum matter, and computational models.
Haldane gap and the LSM theorem
Study notes on quantum spin chains, the nonlinear sigma model and topological terms, and the Lieb–Schultz–Mattis theorem.