Application of classical invariant theory to biholomorphic   classification of plane curve singularities, and associated binary forms
  We use classical invariant theory to solve the biholomorphic equivalence problem for two families of plane curve singularities previously considered in the literature. Our calculations motivate an intriguing conjecture that proposes a way of extracting a complete set of invariants of homogeneous plane curve singularities from their moduli algebras. 
Alexander Isaev
math.CV math.AG