Education Goals 2016

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Here’s a list of things that are incredibly interesting and I couldn’t live without learning. I’m hoping to learn plasma physics to get to the point where I can hang with people doing real research and maybe apply my creativity. Also, I have some pretty cool ideas for superconductivity, but I’m not sure if they’re original.

To Learn Over the Next Six Months

Language

  • Japanese
  • Kanji
  • Learn more about written languages (devanagari, etc)

Math

  • Retake Coursera Crypto I
  • Study some of Crypto papers on deck
  • Finite Element Analysis
  • Helmholtz Decomposition
  • Master Gradient/Curl/Divergence/Laplacian
  • Branched Ray Tracing Algorithms
  • Wallpaper Group
  • Matroids
  • Halting Problem
  • Knot Theory (Racks and Quandles)
  • Distributive Lattice
  • Various Emergent Crystal Structures
  • Symmetry Groups and Isometry Groups
  • Quantum Harmonic Oscillators
  • Einstein Solids
  • Groups/Rings/Fields
  • Polynomials and Ring Theory
  • Galois Theory
  • Dyandic Tensor
  • Wavelets
  • λ-Rings
  • Grothendieck
  • n-Category Theory (& omega… lol)
  • … probably start with just regular Category Theory though
  • Like braiding … what’s that?
  • Then build up to Ross Street’s work
  • Sheaf theory and applications
  • Hermitian Operators
  • Symplectic Operators
  • Hamintonian Mechanics
  • Ergodic Hypothesis …..
  • Tensor Fields
  • Manifolds & Reimann Manifolds
  • Jacobian Matrix
  • Using a self-similar 3D flower of life to approximate integral (Laplacian)
  • Diffusion Theorum

Electromagnetism

  • E & M basics
  • Skyrmions
  • Permittivity
  • Band Theory! (lots of great ideas for solid state chem here)
  • Quantum Hall Effect
  • Other Thermo-Electric effects

Superconductance

  • Flux pinning
  • Flux tubes
  • BCS Theory
  • Ginzburg-Landau Theory
  • Abrikosor Vortices
  • Type 1/1.5/2 Superconductors
  • London Penetration Depth
  • Superconducting Coherence Length
  • Husimi Q Representation
  • Quantum Vortex
  • Magnetic Flux Quantum
  • Current Density
  • Flux Pumping
  • Debye Model
  • Correlation to Phononic Properties
  • Correlation to Lattice Arrangment & Dimensionality (1D,2D,3D)
  • Space Group
  • Crystoallographic Point Group
  • Broullouin Zone
  • Bloch Wave & Oscillations & MoM Method

Plasma Physics

Basics:

  • DC/AC Conductivity
  • Photo/Tunnel Ionizations
  • Langmuir Probe
  • DC & RF Discharge

Plasma Instabilities:

  • Plasma waves: EM, Langmuir, Surface Plasma, & Ion Acoustic
  • 2 Stream Instability Propagation
  • Weibel Instability

Plasma Confinement:

  • Single Particle Motion
  • Motion in Magnetic Fields (inhomogenous/curved)
  • Magnetic Moment Confinement
  • Mirror Confinement
  • Tokamak Confinement

Applications:

  • Medium/Short Wave Communications
  • Processing of Materials
  • Laser Ablation
  • Laser-Driven Fusion
  • Magnetic Fusion

& Magnetohydrodynamics

Mostly just want to fuse some hot things.