  We investigate quantum cosmology in teleparallel $f(T)$-gravity. We delve
extensively into the minisuperspace description within the context of
teleparallelism. The $f(T)$-theory constitutes a second-order theory of
gravity, whose cosmological counterpart is delineated by a degenerate
point-like Lagrangian. To formulate the Hamiltonian function encompassing all
constraints and degrees of freedom inherent to $f(T)$ cosmology, we employ the
Dirac-Bergmann algorithm. Subsequently, we determine the wave function of the
universe and introduce a ``probabilistic'' interpretation. We perform
comparisons to some classical solutions to see to what extent the quantum
approach can cure classical singularities.

General Relativity and Quantum Cosmology;High Energy Physics - Theory