Florian Müller was born in Immenstadt, Germany. He studied piano and composition in Munich and Vienna.
He is one of the central interpreters of contemporary music in Austria and has appeared as a soloist at major festivals such as Wien Modern and the Salzburg Festival.
He is a regular guest at international festivals in Europe and has also toured the USA, Canada, Japan, Argentina and Israel with Klangforum Wien. Florian Müller has played with the SWR Orchestra, the Vienna Symphony Orchestra, the MDR Orchestra and the Mahler Chamber Orchestra, among others. He has worked with renowned conductors such as Emilio Pomàrico, Sylvain Cambreling, Hans Zender, Fabio Luisi, Pierre-Laurent Aimard and Peter Eötvös. He has participated in theater productions with Jerome Bel, Alain Platel, Christoph Marthaler and Yevgeny Sepokhin, among others.
Florian Müller has taught master classes for the Venice Biennale and ISA Vienna-Prague-Budapest and is a professor of Performance Practice in Contemporary Music at the University of Music and Performing Arts, Graz.
The CD recordings in which Florian Müller participated include Beat Furrer's Nuun, Clemens Gadenstätter's comic sense and Friedrich Cerha's relazioni fragili.
Florian Müller became a member of Klangforum Wien in 1993.