• 1962 – 1968

    the Košice Conservatory (under Emil Fajta)

  • 1968 – 1972

    the Janáček Academy of Performing Arts in Brno (under František Šolc), honours degree

  • 1980 – 1985

    music studies at the Philosophy Faculty of Comenius University in Bratislava

  • 1988

    awarded the academic title of PhDr.

  • 1986 – 1989

    artistic studies at the Janáček Academy of Performing Arts in Brno (under František Šolc)

  • 1998

    received the academic title of ArtD. at the Academy of Performing Arts in Bratislava

  • 1983, 1984, 1985

    attended international performance courses at the Janáček Academy of Performing Arts in Brno and worked as assistant lecturer to František Šolc

  • 1970 - 1975

    member of the orchestra at the Opera Slovak National Theatre in Bratislava (as first horn player)

  • 1975 - 1977

    member of the Slovak Radio Symphony Orchestra (as first horn player)

  • since 1977 till present

    principal hornist and horn section head at Slovak Philharmonic (at the same time a member of Arts Council and Commission of Slovak Philharmonic)

  • since 1987

    artistic director of Bratislava Chamber Harmony (after Justus Pavlík, cl, and Ján Martanovič, fg)

  • 1972 – 1982

    external pedagogue at Conservatory in Bratislava

  • since 1977

    pedagogue at Department of wind instruments at Academy of Performing Arts in Bratislava (1988 internal pedagogue, since 1997 the head of the Department and after reorganization Secretary of Department of string and wind instruments, 1991 docent, 2005 professor)

  • since 2000

    member of the Artistic and Scientific Board of The Music and Dance Faculty of the Academy of Performing Arts

  • 1999

    organizer and secretary of the first Slovak Interpretation Competition in French horn playing in Bratislava

  • 1995

    seminar lecturer within 5th year of Central European Music Festival in Žilina

  • 2002

    head lecturer of the workshop at 3rd international music festival Brass Seans in Bratislava

He has established, and been a member of, many wind ensembles (the Corni di Bratislava, the Camerata Slovaca, the Bratislava Wind Octet, the Nova Brass, and the Bratislava Chamber Harmony). He often performs and records with the Cappella Istropolitana. He has also worked with the Ladies Chamber Orchestra, the Bratislava Chamber Soloists, and the Bratislava Wind Harmony; as a soloist, he has performed with the Salzburger Mozart-Serenaden and the Franz Lehár-Orchester in Vienna. He has recorded for Slovak Radio and Television. Budzák's solo repertoire comprises concert pieces ranging from the Baroque to those of 20th century composers, including Slovak compositions (both past and present). He has been involved with many modern works for the French horn, and has premiered a number of pieces by domestic and foreign composers.

He is a founding member of the Slovak Horn Society, of Hornfórum – the Czech Horn Society, and the International Horn Society in the USA.

He first taught at the Bratislava Conservatory, and since 1977, he has worked at the Academy of Performing Arts in Bratislava. His pupils are members of leading domestic ensembles, and many of them have permanent engagements abroad. He is a regular jurist at international performance competitions.

In 1999, he was the organiser and secretary of the first French horn performance competition in Slovakia, which took place in Bratislava. As a lecturer, he headed a seminar as part of the 5th Central European Festival of Concert Art in Žilina (1995), and in 2002, he ran a workshop at the 3rd Brass Seans international music festival in Bratislava.