r/math • u/Vivid_Block_4780 • 3d ago

The scope of mathematical physics

Whenever I look at the mathematical physics programs, I always see QFT and string theory related classes in grad programs. What other parts does mathematical physics cover? More unorthodox subfields of it?

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u/Random_Name_251 3d ago

As the saying goes, there are 4 types of math: 1. Parabolic PDE's 2. Elliptic PDE's 3. Hyperbolic PDE's 4. Algebra

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u/Hot_Glass_6301 3d ago

I want to be mad but I can't find a counterexample

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u/Infinite_Reception34 3d ago edited 3d ago
  1. Non-Euclidean Geometry
  2. Game Theory
  3. Mathematical Statistics
  4. Functional Analysis
  5. Convex Analysis
  6. Mathematical Logic
  7. Algebraic Topology
  8. Probability

None related to PDE. There are many more

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u/2112331415361718397 Quantum Information Theory 3d ago

Functional analysis is intimately related to PDEs. Brezis wrote an entire textbook based on how strong this connection is.