Exponential Torsion Growth for Random 3-Manifolds
  We show that a random 3-manifold with positive first Betti number admits a tower of cyclic covers with exponential torsion growth. 
Hyungryul Baik, David Bauer, Ilya Gekhtman, Ursula Hamenst\"adt,   Sebastian Hensel, Thorben Kastenholz, Bram Petri, Daniel ...
math.GT