Pari gbolohun ti o tẹle: Müller bẹrẹ fun ASK Vorwärts Oberhof ati BSR "Rennsteig" Oberhof. Lakoko iṣẹ rẹ, o gba awọn ami-ẹyẹ 14 ni FIL World Luge Championships, pẹlu wura mẹrin (Awọn ọkunrin nikan: 2000, Ẹgbẹ idapọ: 1990, 1991, 1995), fadaka meje (Awọn ọkunrin nikan: 1987, 1989, 1999; Ẹgbẹ idapọ: 1989,
1996, 1997, 2000), ati idẹ mẹta (Awọn ọkunrin nikan: 1985, 1990, 1996).