Jet substructure has emerged as a key tool for new physics searches at the LHC, particularly for signals that involve highly Lorentz-boosted top quarks and electroweak bosons. In this talk, I present a suite of powerful jet substructure observables that were discovered by systematically studying the soft and collinear singularities of QCD. These new observables are based on N-particle energy correlations, using a novel angular weighting function to yield improved performance over previous techniques.