Heiller's career after World War II is an uninterrupted list of concerts, lectures, records, jury service at contests, and professional honors.
A few years before this, he had released a set of recordings for Vanguard of many of Bach's larger organ works on a majestic Marcussen instrument in Sweden.
Offered the conductorship of the Vienna State Opera he declined in order to concentrate on keyboard playing, although near the end of his life he said he was looking forward to conducting more.
In whatever works he performed he displayed formidable technique, immense rhythmic strength and, in particular, a rare talent for clarifying and maintaining the momentum of the most complex polyphonic passages with what sounded like effortless ease.
His notable pupils include Monique Gendron, Wolfgang Karius, Jan Kleinbussink, Douglas Lawrence, Brett Leighton, Peter Planyavsky,[1] Michael Radulescu, David Rumsey, David Sanger, Sibyl Urbancic [de], Jean-Claude Zehnder, and Miriam Clapp Duncan .