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Studies of exoplanet demographics require large samples and preciseconstraints on exoplanet host stars. Using the homogeneous Kepler stellarproperties derived using Gaia Data Release 2 by Berger et al. (2020), were-compute Kepler planet radii and incident fluxes and investigate theirdistributions with stellar mass and age. We measure the stellar mass dependenceof the planet radius valley to be $d \log R_{\mathrm{p}}$/$d \log M_\star =0.26^{+0.21}_{-0.16}$, consistent with the slope predicted by a planet massdependence on stellar mass ($0.24-0.35$) and core-powered mass-loss (0.33). Wealso find first evidence of a stellar age dependence of the planet populationsstraddling the radius valley. Specifically, we determine that the fraction ofsuper-Earths ($1-1.8 \mathrm{R_\oplus}$) to sub-Neptunes ($1.8-3.5\mathrm{R_\oplus}$) increases from $0.61 \pm 0.09$ at young ages (< 1 Gyr) to$1.00 \pm 0.10$ at old ages (> 1 Gyr), consistent with the prediction bycore-powered mass-loss that the mechanism shaping the radius valley operatesover Gyr timescales. Additionally, we find a tentative decrease in the radii ofrelatively cool ($F_{\mathrm{p}} < 150 \mathrm{F_\oplus}$) sub-Neptunes overGyr timescales, which suggests that these planets may possess H/He envelopesinstead of higher mean molecular weight atmospheres. We confirm the existenceof planets within the hot sub-Neptunian "desert" ($2.2 < R_{\mathrm{p}} < 3.8\mathrm{R_\oplus}$, $F_{\mathrm{p}} > 650 \mathrm{F_\oplus}$) and show thatthese planets are preferentially orbiting more evolved stars compared to otherplanets at similar incident fluxes. In addition, we identify candidates forcool ($F_{\mathrm{p}} < 20 \mathrm{F_\oplus}$) inflated Jupiters, present arevised list of habitable zone candidates, and find that the ages of single-and multiple-transiting planet systems are statistically indistinguishable.

The Gaia-Kepler Stellar Properties Catalog. II. Planet Radius Demographics as a Function of Stellar Mass and Age