Optical studies in the regime of the quantum Hall effect (QHE) reveal
complex behavior related to the strongly interacting 2D electron syste
m. In the following we review our recent investigations of exciton lum
inescence in high-mobility GaAs electron systems. Several novel phenom
ena are observed, including additional exciton peaks at high magnetic
fields, intensity variations and energy shifts coincident with the qua
ntum Hall effect, strongly suppressed recombination at nu = 1 and nu =
1/3, and peak splitting in the electron solid regime. The experiments
were made using picosecond time-resolved PL measurements, dilution re
frigerator temperatures (T > 0.05 K), and high magnetic fields (B less
-than-or-equal-to 20 T).