Phileas Baun studied classical guitar, early/contemporary music and conducting at the Musikhochschule Trossingen (Michael Hampel, Rolf Lislevand), the Royal Conservatory Den Haag (Zoran Dukic) and the Musikakademie Basel/Schola Cantorum Basilensis (Stephan Schmidt, Peter Croton, Rodolfo Fischer).

As a soloist, Phileas Baun is regularly invited by orchestras throughout Europe. In 2017 he played the premiere performance and cd production of the double concerto A Due by German composer Jörg Iwer together with Michael Hampel and the Sinfonieorchester Villingen-Schwenningen. Performances of the Concierto de Aranjuez by Joaquin Rodrigo include the Kammerorchester Basel or the Junge Sinfoniker Frankfurt.

Together with two soloists from the RIAS Kammerchor Berlin, Phileas Baun founded the Alato Trio in 2020. For the unique instrumentation of two female voices with guitar, a completely newly arranged repertoire was developed, which focuses on duets of the German Romantic period around the composers Johannes Brahms, Robert Schumann and Felix Mendelssohn. The current program around the composers Fanny Hensel and Clara Schumann was recorded in January 2023 in a radio production by Deutschlandfunk and subsequently included in the RIAS Chamber Choir's own CD series.

Phileas Baun is an active performer of contemporary and experimental music, both as a soloist and in chamber music. With The Interstring Project, an experimental guitar ensemble founded in 2019, he has played numerous concerts all over Europe (Berlin, Paris, Rotterdam, Valencia, Basel, Salzburg, an others), including premiere performances as well as own compositions. An important part of his work is the close collaboration with composers and institutions (IRCAM Paris, GMEM Marseille, ZKM Karlsruhe), continuously developing and expanding the guitar repertoire of the 21st century. Notable projects include premier performances at the Donaueschinger Musiktage (works by Sarah Nemtsov, Benjamin Dupé) as well as the performance Moving Sounds with the contemporary juggler Jerome Thomas (using motion tracking juggling balls to convert movement into sound) in coproduction with the IRCAM Paris. Since 2021 Phileas Baun is curating and organizing the Next Generation program of the Donaueschinger Musiktage.

Phileas Baun has been intensively involved with an interdisciplinary approach in his artistic work for many years. The multimedia stage performances DISORDER, Homenaje - Hommage a Manuel de Falla and Come, Heavy Sleep (premiere 2024 Theater am Ring Villingen) search for new forms of expression in the intersection between staged concert, music theater, opera and sound installation. The intensive examination in the field of interdisciplinary arts resulted in the project study program Post Grad Indie in 2021, which Phileas Baun conceived as a cooperation between the Hochschule für Musik and Hochschule für Gestaltung und Kunst Basel and supervised in the academic year 2021/22.

Phileas Baun is the winner of numerous national and international music competitions, winner of the German Lions Music Prize 2019, scholarship holder of the Studienstiftung des deutschen Volkes and the Hirschmann Stiftung Luzern as well as the first guitarist ever to be awarded the main prize at the Iris Marquardt Competition, the department wide competition at the Musikhochschule Trossingen. In 2021 Phileas Baun has been appointed to a teaching position at the University of Music Freiburg. Additionally, he is regularly invited to hold lectures, workshops and masterclasses at leading institutions in Europe such as the Mozarteum Salzburg, the Musikhochschule Basel and the Ukrainian National Tchaikovsky Academy of Music in Kiyv.