Check out some problems in quantum field theory: so far it’s the Lorentz covariance of Aμ in the Coulomb gauge, Furry’s theorem, supersymmetry and an SO(n) invariant field theory.
Some notes on the Standard Model and differential geometry.
A derivation of Feynman’s path integral for QM and QFT.
Here are proofs of Cauchy’s theorem using homotopy and homology.
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