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1986 – 1992
Conservatory in Bratislava (orchestral conducting – Zdeněk Bílek, Július Karaba)
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1992 – 1997
Academy of Performing Arts Bratislava (orchestral conducting – Ladislav Slovák, Bystrík Režucha, Róbert Stankovský) 1995 – 2000 artistic director and choirmaster of SĽUK Choir (Slovak Folk Art Collective)
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since 1995
artistic director and choirmaster of chamber mixed choir Musica vocalis
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2004
founder of a cappella octet Fragile and chamber choir Chorus Alea
Kostka has conducted significant Slovak ensembles such as the Slovak Philharmonic, State Philharmonic Košice, Chamber Soloists Bratislava, Musica Aeterna, Solamente Naturali, Slovak Philharmonic Choir. He was a main choirmaster of Technik Choir. He cooperates with theatres Nova Scena, Arena, Jonáš Záborský Theatre Prešov, Andrej Bagar Theatre Nitra, P. O. Hviezdoslav Theatre Bratislava. He is a guest also in Janáček Theatre Brno. For some time he was an accompanist and conducting assistant in the Slovak National Theatre. He is a composer and arranger, authoring the music to performances Krvavá svadba (Blood Wedding, within project of Slovak Chamber Ballet, 1997), Edith Piaf (East-Slovak National Theatre Košice, 1998) and others.