Stepjan was born in Pula to a musical family, where he began his musical education. He has a sister who is a journalist in Pula. Hauser finished secondary school in Rijeka. He studied in London, and later in United States under Bernard Greenhouse
He has already performed as solist in the venues in Europe and with many of the major orchestras. He performed in Croatia, Slovenia, Netherlands, Ireland, Belgium, Austria, Albania, France, Italy, Germany, Spain, Switzerland, South Africa, New Zealand, United States and the United Kingdom, with sensational debuts in Wigmore Hall, Royal Albert Hall, Amsterdam Concertgebouw, St. Martin in the Fields, Kings Place, St John's, Smith Square and South Bank Centre.
He is laureate of UK's most prestigious international competitions and awards such as: PLG Young Artists Auditions 2009., J & A Beare Solo Bach Competition 2009., NYOS Staffa Award 2009., Philharmonia Orchestra- Martin Musical Scholarship Fund 2009. & 2008., Eastbourne Symphony Orchestra Young Soloist Competition 2009 & 2007., Tunbridge Wells International Young Concert Artists Competition 2008 & 2006., Computers in Personnel International Concerto Competition 2008., Frankopan Fund Award 2006., MBF Music Education Award 2006 & 2005. He is also prize winner of world's biggest cello competitions and awards such as Adam Cello Competition in New Zealand 2009., and VTB Capital Prize for Young Cellists 2009. Stjepan is also ,double 1st prize winner of the International Music Competition "Francesco Forgione" in Italy 2008., 1st prize and audience prize winner of "Lions Grand Prix" International Competition in Croatia 2003 as well as the 1st prize winner of all the TCM London competitions including Vivian Joseph Classical Concerto Competition 2007., Leonard Smith & Felicity Young Competition 2007., Vera Kantrovich Bach Competition 2007. and J & A Beare Prize for Classical Concerto 2007. He was twice 1st prize winner of the national competitions in Croatia 2002 and 2004., Rudolf Matz International Cello Competition 2005 as well as the winner of Croatian TV Show "Dobro Jutro Hrvatska" 2008. All together Stjepan collected a total of 21 first prizes among national and international competitions and as consequence he was invited to perform twice on Gala concerts for H R H Prince Charles in Buckingham Palace and St. James's Palace.
Stjepan is one of the very last cellists whom the great Rostropovich heard during his life. As one of the last student of Maestro Rostropovich, Stjepan played in four concerts dedicated to him: a gala concert in Palazzo Vecchio in Florence (Britten Sonata); a performance of Shostakovich's Cello Concerto No 1 with Orchestra Sinfonica del Friuli Venezia Giulia in Teatro Comunale "Giuseppe Verdi" in Italy; a recital in Auditorium al Duomo, Florence in the Maggio Musicale Fiorentino Festival; a performance of Kol Nidrei with Metropolitan Sinfonia in a gala concert in St George's Bristol.
This young cellist has impressed the most revered cellists such as Mstislav Rostropovich, Bernard Greenhouse, Heinrich Schiff, Frans Helmerson, Arto Noras, Ralph Kirshbaum, Valter Despalj, Philippe Muller, Thomas Demenga, Young-Chang Cho, Valter Despalj, Reinhard Latzko, Karine Georgian, Roel Dieltiens and Alexander Ivashkin to mention a few. He completed his undergraduate studies with Natalia Pavlutskaya in London and currently he is studying with Ralph Kirshbaum as a Dorothy Stone Scholar in RNCM in Manchester and with Bernard Greenhouse in USA.
In October 2006 he was the only cellist chosen to perform in the gala concert at Palazzo Vecchio, Florence for the late Mstislav Rostropovich, who was most impressed by this young artist. Following the success of this appearance Stjepan has been invited to perform at the most prestigious festivals in Europe. At the International Holland Music Sessions 2009, he was chosen to participate in "New Masters on Tour" concert series, presenting young artists in prestigious concert venues all over Europe.
Together with the Slovenian violinist Lana Trotovsek and Japanese pianist Yoko Misumi, Stjepan is a member of renowned The Greenwich Trio described by legendary cellist Bernard Greenhouse as the "New Beaux Arts Trio".
The Trio won series of first prizes in the international chamber music competitions in UK, Belgium and Italy. The Greenwich Trio has had masterclasses with Amadeus Quartet, Alban Berg Quartet, Guarneri Quartet, Beaux Arts Trio, Trio Fontenay, Menahem Pressler, Bernard Greenhouse, Ivry Gitlis, Stephen Kovacevich, Ralf Gothoni, Niklas Schmidt, Arnold Steinhardt, Valentin Erben and Eberhard Feltz. ... They have already performed in some of the most prestigious European international music festivals. In March 2008 they performed Beethoven's Triple Concerto with conductor Barry Wordsworth and in September the same year they played in the sold out opening festival at King's Place, London.
In January 2011, Hauser, along with friend and fellow cellist Luka Šulić, performed a cover of Michael Jackson's Smooth Criminal which was played solely on cello. In just a few days, the music video for this cover became a YouTube sensation.
