  In this manuscript we review the construction of the Teichm\"{u}ller TQFT in
[AK1], upgrading it to a theory dependent on an extra odd integer $N$ using
results developed in [AK3]. We also describe how this theory is related with
quantum Chern--Simons Theory at level $N$ with gauge group
$\rm{PSL}(2,\mathbb{C})$.
