## Notes: A call for help

This is (will be) a collection of my notes on various topics, inspired by Cosma Shalizi’s wonderful Notebooks. I am far from an expert on many of the topics I intend to post on, and would appreciate comments/insights and suggestions for additional references.

Here is a teaser:

- Discrete geometry
- Language vs. music
- Geometric phases in physics
- Statistical learning theory
- Local regression and density estimation
- Fast algorithms for proximity-based computations
- Kernel machines
- Probability/statistics
- Operator algebras
- Characteristic classes
- Index theorems (Atiyah-Singer)
- Riemannian geometry
- Geometric theories of continuum mechanics
- Harmonic oscillator and generalizations
- Cosmology
- Black holes and causal structure
- Relativistic quantum field theory
- Nonrelativistic QFT and many body theory
- Quantum optics
- Topological quantum field theory
- Quantum computation
- Topological quantum computation
- Protein folding
- Chirality (handedness) in chemistry and biology
- Language and thought
- Representation theory
- Planetary science
- Order of magnitude physics/Fermi problems
- Pedagogy

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