Başar Can Kıvrak started studying at the Tchaikovsky Conservatory of Moscow in 2008 and graduated from the class of Eliso Virsaladze in 2012 with the highest distinction, a "red diploma", in May 2012. He is a pianist who won several awards in the national and international competitions he entered over the course of his studies.
Kıvrak is a graduate of Ankara Tevfik Fikret High School. After the age of ten, he studied piano under Ozan Bilen for two years. After studying with Emre Şen between 2000 and 2001, he was admitted to Bilkent University Music Preparatory High School to study in Namık Sultanov's piano class in the 2001-2002 academic year. The next year, he started studying under Gülnara Aziz and earned his undergraduate degree from Bilkent University in 2008.
Kıvrak was awarded the Third Prize in the First International Ferdi Statzer Piano Competition held in Istanbul in 2002, Yamaha Scholarship in 2004, and the Grand Prix in the Second International Young Virtuosos Piano Competition held in Sofia in 2005. Working with Gülsin Onay, he gave a concert at the Gümüşlük International Classical Music Festival in August 2005. He performed as a soloist with Presidential Symphony Orchestra, Çukurova State Symphony Orchestra, Bursa State Symphony Orchestra, Eskişehir Anadolu University Symphony Orchestra, Bilkent Youth Symphony Orchestra, Bilkent Symphony Orchestra, and Borusan Istanbul Philharmonic, and made recordings for TRT Ankara Radio. He had the opportunity to go on stage with artists like Ruşen Güneş and Gürer Aykal. Kıvrak is currently teaching at the piano division of Bilkent University Faculty of Music and Performing Arts and continues his concert career.