  In ultra-relativistic heavy-ion collisions at $\sqrt{s_{NN}}$ = 5.5 TeV at
the ALICE experiment at the LHC, interactions between the high-$p_{T}$ partons
and the hot, dense medium produced in the collisions, are expected to lead to
jet energy loss (jet-quenching) resulting in changes in the jet fragmentation
functions as compared to the unquenched case. In order to reconstruct jet
fragmentation functions, accurate information on the jet energy, direction and
momentum distribution of the jet particles is needed. This thesis presents
first results on jet reconstruction in simulated Pb+Pb collisions using the
ALICE detectors and a UA1-based cone jet finding algorithm which has been
modified and optimised to reconstruct high-$p_{T}$ jets on an event-by-event
basis. Optimisation of the algorithm parameters and methods used to suppress
the large background energy contribution while maximising the algorithm
efficiency, are discussed and the resulting jet energy and direction
resolutions are presented. Accurate jet reconstruction will allow measurement
of the jet fragmentation functions and consequently the degree of quenching and
therefore provide insight on the properties of the hot and dense medium (for
example the initial gluon density) created in the collisions.
