notes

Incomplete, hard to understand notes on various subjects that at some point I needed to learn about.

Viewing them on github sucks! I made this place where they look prettier: notes.panos.wiki

• Study Plans
• Analysis
  Honestly emptier than it should be...
  • Distributions
  • Functional Analysis
  • Variational Calculus
• Categories
  • Abelian Categories
  • Category Theory
  • Fusion
  • Monoidal Categories
• Quanta
  • Conserved Currents
  • Momentum
  • Quantum Mechanics
• Defects
  • Gauging Discrete Symmetries
  • Topological Line Defects
  • Orbifolds
  • Symmetries as Defects
  • Twisted Representation Theory
  • Twisting Adventure
• Geometry
  Key intuition or formal definitions of Differential Geometry Concepts because I forget.
  • Fibre Bundles
  • Automorphism Groups of Vector Spaces
  • Complex Structures
  • Forms
  • Differential Geometry
  • Jets
  • Lie Algebras
  • Lie Crap
  • Metrics and Integration
  • Representation Theory
  • Vector Valued Forms
• Projects
  • CFT
    • Free Conformal Field Theories
    • Ising Model
    • Conformal Defects in Tricritical Ising
  • Dissipative_QFT
    • Dissipation Currents
  • Topological_Paths
    • Anyon Symmetry
    • Inducing Topology Using Maps
• Quantum Fields
  Formal Quantum Field Theory including CFT preliminaries and Wightman QFT
  • Axioms in 2D CFT
  • Axiomatic QFT
  • Conformal Boundaries
  • Conformal Group
  • Minimal Models
  • Path Integrals
  • Renormalization Group
  • Spinors
  • Symmetry Braking
  • Warm Quantum Fields
  • Vertex Operator Algebras
  • Virasoro Algebra
• Strings
  • Embeddings