  Topological superconductors possess a nodeless superconducting gap in the
bulk and gapless zero energy modes, known as "Majorana zero modes", at the
boundary of a finite system. In this work, we introduce a new class of
topological superconductors, which are protected by nonsymmorphic crystalline
symmetry and thus dubbed "topological nonsymmorphic crystalline
superconductors". We construct an explicit Bogoliubov-de Gennes type of model
for this superconducting phase in the D class and show how Majorana zero modes
in this model are protected by glide symmetry. Furthermore, we generalize the
classification of topological nonsymmorphic crystalline superconductors to the
classes with time reversal symmetry, including the DIII and BDI classes, in two
dimensions. Our theory provides a guidance to search for new topological
superconducting materials with nonsymmorphic crystal structures.
