  SN 2013ej is a well-studied core-collapse supernova (SN) that stemmed from a
directly identified red supergiant (RSG) progenitor in galaxy M74. The source
exhibits signs of substantial geometric asphericity, X-rays from persistent
interaction with circumstellar material (CSM), thermal emission from warm dust,
and a light curve that appears intermediate between supernovae of Types II-P
and II-L. The proximity of this source motivates a close inspection of these
physical characteristics and their potential interconnection. We present
multi-epoch spectropolarimetry of SN 2013ej during the first 107 days, and deep
optical spectroscopy and ultraviolet through infrared photometry past ~800
days. SN 2013ej exhibits the strongest and most persistent continuum and line
polarization ever observed for a SN of its class during the recombination
phase. Modeling indicates that the data are consistent with an oblate
ellipsoidal photosphere, viewed nearly edge-on, and probably augmented by
optical scattering from circumstellar dust. We suggest that interaction with an
equatorial distribution of CSM, perhaps the result of binary evolution, is
responsible for generating the photospheric asphericity. Relatedly, our
late-time optical imaging and spectroscopy shows that asymmetric CSM
interaction is ongoing, and the morphology of broad H-alpha emission from
shock-excited ejecta provides additional evidence that the geometry of the
interaction region is ellipsoidal. Alternatively, a prolate ellipsoidal
geometry from an intrinsically bipolar explosion is also a plausible
interpretation of the data, but would probably require a ballistic jet of
radioactive material capable of penetrating the hydrogen envelope early in the
recombination phase (abridged).
