Long Wishlist for Learning

Here, I list things that I'd like to learn.

Green Started
Purple Unfinished
Blue Finished

Books I must read

• Math textbooks:
  Quantum algebra & Quantum topology
  • Kassel, "Quantum Groups"
  • Barkalov & Kirillov, "Lectures on Tensor Categories and Modular Functors"
  • Turaev, "Quantum Invariants of knots and 3-Manifolds"
  • Chari & Pressley, "A Guide to Quantum Groups" (no hard copy, ~$45 used)
  • Schiffman & Etingof, "Lectures on Quantum Groups" (no hard copy, ~$30)
  Category theory & Homotopy theory
  • Mac Lane, "Categories for the Working Mathematician"
  • Gelfand & Manin, "Methods of Homological Algebra"
  • Jacob Lurie, "Higher Topos Theory"
  Algebraic geometry & Noncommutative geometry
  • Perrin, "Algebraic Geometry: An Introduction"
  • Connes, "Noncommutative Geometry" (no hard copy, ~$130 used)
  Topology & Geometry
  • Bredon, "Topology and Geometry"
  • Dror's course on Algebraic Knot Theory "AKT-09" (Fall 2009, video recordings)
  Representation theory
  • Fulton & Harris, "Representation Theory -- A First Course"
  • Joel's notes on Representation theory of compact and reductive groups (Winter 2011)
  • Kleshchev, "Linear and projective representations of symmetric groups" (no hard copy, ~$50 used)
  • Chriss & Ginzburg, "Representation Theory and Complex Geometry"
  • Hong & Kang, "Introduction to Quantum Groups and Crystal Bases" (no hard copy)
  • Humphreys, "Representations of Semisimple Lie Algebras in the BGG Category O" (printed copy)
  • Ginzburg, "Perverse sheaves on a loop group and Langlands' duality" (long paper)
• Physics textbooks:
  • Nielsen & Chuang, "Quantum Computation and Quantum Information"
  • Nakahara, "Geometry, Topology and Physics"
  • Heinonen, "Composite Fermions: A Unified View of the Quantum Hall Regime"
• Programming books:
  • Oram & Wilson, "Beautiful Codes"
  • Kernighan & Ritchie, "The C Programming Language"
  • Skiena & Revilla, "Programming Challenges"

Supplementary books

• Math textbooks:
  Category theory & Homotopy theory
  • Jacob Lurie, "Higher Algebra" (forthcoming)
  Algebraic geometry
  • Eisenbud, "Commutative Algebra: with a View Toward Algebraic Geometry"
  • Harris, "Algebraic Geometry -- A First Course"
  • Hartshorne, "Algebraic Geometry"
  Topology
  • Hatcher, "Algebraic Topology"
  • Bott & Tu, "Differential Forms in Algebraic Topology"
  • Guillemin & Pollack, "Differential Topology" (no hard copy)
  Representation theory
  • Humphreys, "Introduction to Lie Algebras and Representation Theory"
  • Knapp, "Lie Groups Beyond an Introduction"
  • Bump, "Lie Groups" (no hard copy)
  Geometry
  • Lee, "Introduction to Smooth Manifolds"
  • Cannas da Silva, "Lectures on Symplectic Geometry"
• Physics textbooks:
  • Sakurai, "Modern Quantum Mechanics"
  • Peskin & Schroeder, "An Introduction to Quantum Field Theory"
  • Wen, "Quantum Field Theory of Many-body Systems"
  • Connes & Marcolli, "Noncommutative Geometry, Quantum Fields and Motives" (forthcoming)