\begin{abstract}
I exposit a recent paper of Daniel Ueltschi which connects a random-cycle model
for spatial permutations to Bose-Einstein condensation for interacting
particles.  This work satisfies the requirement for my written comprehensive
examination in the University of Arizona Department of Mathematics.
\end{abstract}


%\begin{abstract}
%I exposit a recent paper of Daniel Ueltschi which connects a random-cycle model
%for spatial permutations to Bose-Einstein condensation for interacting
%particles.  The key advantage of the model, which is derived in this paper, is
%that it admits Monte Carlo simulations which are computationally superior to
%more familiar path-integral computations.
%
%This work satisfies the requirement for my written comprehensive examination
%in the University of Arizona Department of Mathematics.
%\end{abstract}
%
