Studied Composition and Theory at Reykjavik College of Music under Atli Heimir Sveinsson and Thorsteinn Hauksson. He continued his studies at the Vienna Conservatorium under Reinhold Portisch with emphasis on compostion and renaissance-counterpoint. Baldvinsson is now head of the department of composition and theory at the Reykjavik College of Music and adjunkt at the Icelandic Acadamy of the Arts as well working on his compositions.