Notes On Mathematics [Areas Of Focus]

  • Algebraic Numbers
  • Number Theory
    • Analytic Number Theory
    • Computational Number Theory
    • Algebraic Number Theory
  • Algebraic Geometry
  • Arithmetic Geometry
  • Algebraic Topology
  • Differential Topology
  • Moduli Spaces
  • Representation Theory  
  • Geometric and Combinatorial Group Theory
  • Harmonic Analysis
    • An operator is a function that takes a function and returns a transformed function.
  • Partial Differential Equations
  • General Relativity & The Einstein Equations
  • Dynamics
  • Operator Algebra
  • Mirror Symmetry
  • Vertex Operator Algebra
  • Enumerative & Algebraic Combinatorics
  • Extremal & Probabilistic Combinatorics
  • Computational Complexity
  • Numerical Analysis
  • Set Theory
  • Logic & Model Theory
  • Stochastic Processes
  • Probabilistic Models of critical phenomena
  • High Dimensional Geometry & its probabilistic Analogues
 
 
References

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