  WASP-12b and Qatar-1b are transiting Hot Jupiters for which previous works
have suggested the presence of transit timing variations (TTVs) indicative of
additional bodies in these systems - an Earth-mass planet in WASP-12 and a
brown-dwarf mass object in Qatar-1. Here, we present 23 new WASP-12b and 18 new
Qatar-1b complete (or nearly complete) transit observations. We perform global
system fits to all of our light curves for each system, plus RV and stellar
spectroscopic parameters from the literature. The global fits provide refined
system parameters and uncertainties for each system, including precise transit
center times for each transit. The transit model residuals of the combined and
five minute binned light curves have a RMS of 183 and 255 parts per million
(ppm) for WASP-12b and Qatar-1b, respectively. Most WASP-12b system parameter
values from this work are consistent with values from previous studies, but
have $\sim$ 40-50% smaller uncertainties. Most of the Qatar-1b system parameter
values and uncertainties from this work are consistent with values recently
reported in the literature. We find no convincing evidence for sinusoidal TTVs
with a semi-amplitude of more than $\sim$ 35 s and $\sim$ 25 s in the WASP-12b
and Qatar-1b systems, respectively.
