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\bf{Christopher \textbf{Christopher  Bradshaw} \bf{Thesis \textbf{Thesis  Progress Report} The goal of the thesis is to compare the growth vs current mass of local group galaxies with distant ones. The following progress has been made. This report will also cover progress made last term (this work was then registered with the astronomy department).  \bf{Data} \textbf{Data}  The early part of the project was dominated by trying to understand the data that would be used.  The main data set used for distant galaxies was presented in \cite{Tomczak_2014}. We made various graphs to better understand how the growth rate was affected by whether the galaxy was quiescent or star forming. We checked their use of Schechter and Double Schechter functions, before paramaterising the Schechter function to smooth the relationship and ensure that the number density at a specific mass increased monotonically as z approached 0 \cite{Leja_2015}. With this done, graphs showing the change in mass over time between Z = 3 and Z = 0 were constructed for various start masses. 
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The local group dwarf data was taken from \cite{Weisz_2014}. As with the other data sets, the first uses of this data were to help my understanding. Graphs showing the percentage of mass over time of the galaxies were plotted.  \bf{Analysis} \textbf{Analysis}  The major correction so far applied to this distant galaxy data concerns mergers. The local group data is based on galaxies that have not undergone mergers \textbf{is this true} and so to compare these data sets, the effects of mergers must be removed from this data set. To do this, the method described in \cite{Gomez_2015} has been used. Supporting material consisting of graphs showing expected merger rates at various mass ratios and redshifts has also been prepared.