  We present moderate resolution near-infrared spectra in $H, J$ and $K$ band
of M dwarf hosts to candidate transiting exoplanets discovered by NASA's K2
mission. We employ known empirical relationships between spectral features and
physical stellar properties to measure the effective temperature, radius,
metallicity, and luminosity of our sample. Out of an initial sample of 56
late-type stars in K2, we identify 35 objects as M dwarfs. For that sub-sample,
we derive temperatures ranging from $2,870$ to $4,187$ K, radii of $0.09-0.83$
$R_{\odot}$, luminosities of $-2.67<log L/L_{\odot}<-0.67$ and [Fe/H]
metallicities between $-0.49$ and $0.83$ dex. We then employ the stellar
properties derived from spectra, in tandem with the K2 lightcurves, to
characterize their planets. We report 33 exoplanet candidates with orbital
periods ranging from 0.19 to 21.16 days, and median radii and equilibrium
temperatures of 2.3 $R_{\oplus}$ and 986 K, respectively. Using planet
mass-radius relationships from the literature, we identify 7 exoplanets as
potentially rocky, although we conclude that probably none reside in the
habitable zone of their parent stars.

Solar and Stellar Astrophysics;Earth and Planetary Astrophysics