Hello Judas Maccabeus, and good day to you.
You are correct. Hayek was indeed a protégé of Ludwig Von Mises, and probably the most widely recognized name associated with the Austrian school. He was, however, somewhat softer with respect to state regulations and meddling in the market, and had some other ideas that went a bit off the Mises/Rothbard course. Still, his influence and acumen are unquestionable, and continue to resonate to this day.