Almgren's big regularity paper : Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2

By Vladimir Scheffer, Jean E. Taylor. 2000

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Minimal submanifolds (2005, unknown): “Almgren, [3], and is a refinement of an argument of H.”
Multiple valued functions and integral currents (2013, background): “Using the chain rule [4, Proposition 1.12], we have: (DFε,i)♯~e = w1(ε, x) ∧ . . . ∧ wm(ε, x) =: ~w(ε, x), where wj(ε, x) = ej(x) + DNi|Ψ−1ε (x) · DΨ−1ε |x · ej(x).”
Area Minimizing Discs in Metric Spaces (2015, result): “In contrast to the well developed regularity theory for mass minimizing integral currents in Euclidean space, see [3], the regularity of minimal currents in metric spaces seems to be very difficult to approach, see [6] for some progress.”
Q-valued functions revisited (2008, methodology): “We recall the definition of |∂jf | and |Df | given in (0.2) and (0.3): chosen a countable dense set {Tl}l∈N ⊂ AQ, we define |∂jf | = sup l∈N |∂jG(f, Tl)| and |Df |2 := m∑ j=1 |∂jf |2 .”