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We present reverberation mapping results for the MgII 2800 A broad emissionline in a sample of 193 quasars at 0.35<z<1.7 with photometric andspectroscopic monitoring observations from the Sloan Digital Sky SurveyReverberation Mapping project during 2014 - 2017. We find significant time lagsbetween the MgII and continuum lightcurves for 57 quasars and define a "goldsample" of 24 quasars with the most reliable lag measurements. We estimatefalse-positive rates for each lag that range from 1-24%, with an averagefalse-positive rate of 11% for the full sample and 8% for the gold sample.There are an additional ~40 quasars with marginal MgII lag detections which mayyield reliable lags after additional years of monitoring. The MgII lags followa radius -- luminosity relation with a best-fit slope that is consistent withalpha=0.5 but with an intrinsic scatter of 0.36dex that is significantly largerthan found for the Hb radius -- luminosity relation. For targets with SDSS-RMlag measurements of other emission lines, we find that our MgII lags aresimilar to the Hb lags and ~2-3 times larger than the CIV lags. This worksignificantly increases the number of MgII broad-line lags and providesadditional reverberation-mapped black hole masses, filling the redshift gap atthe peak of supermassive black hole growth between the Hb and CIV emissionlines in optical spectroscopy.

The Sloan Digital Sky Survey Reverberation Mapping Project: MgII Lag Results from Four Years of Monitoring