• Morse classification of low order jet spaces 

      Barwick, Michael John
      Published 2016-03-31
      Following the work of Kuo and Paunescu \cite{me_1}, we look at the classical problem of classifying function germs (ℂ2,0) → (ℂ,0). The aim is to find a condition which is finer than the classification by topological type, ...
      Open Access
      PhD Doctorate
    • The Newton polygon and the Puiseux characteristic 

      Barwick, Michael John
      Published 2011-03-01
      In this thesis, we will use the Newton polygon and the Puiseux characteristic to study complex analytic curves in C{x,y} and C[[x,y]]. This allows us to topologically classify the plane curve singularities. Chapter 1 will ...
      Open Access
      Masters Thesis