My other M3 (actually a Mazda3) had a similar issue. The rotors would glaze from only seeing light usage around town from my wife. I had the rotors machined and the vibration went away.
You or the tech probably need to bed the brakes in.
2015 F34 328iX GT Glacier Silver
2011 E90 M3 Monte Carlo Blue
2004 E46 M3 Imola Red