Oliver has been a frequent guest for BBC Radio 3's In Concert broadcasts and his recent work on the revival of Michael Tippett's Symphony in B flat saw him interviewed for the 6 o'clock news on BBC Radio 4. A recent study day on Michael Tippett that Oliver curated for the London Symphony Orchestra sold out, and Oliver introduced the following concert for the LSO's live stream (see left).

He has given a number of pre-concert talks, many recorded for broadcast, in venues across the country, including the Royal Opera House, Cambridge Arts Theatre, Wigmore Hall, City Halls Glasgow, and the Royal College of Music. He discussed and read aloud from Tippett's own writings for the 'Proms Plus Literary' discussions (available here as a free podcast), gave an introduction to Tippett's first opera, The Midsummer Marriage (click here to listen), and to Tippett's oratorio A Child of Our Time (click here to listen).

As a presenter he has hosted live interviews (later available as podcasts) with leading composers and musicians, notably Krzysztof Penderecki, Radovan Vlatković, and Magnus Lindberg.

In November and December 2013 he presented two three-hour sessions for the Wigmore Hall Study Group 'The Songs and Chamber Music of Michael Tippett', lecturing on Tippett's life and work, and providing close analyses of Tippett's second piano sonata, and of the song cycle The Heart's Assurance. Two years later he curated a conference linked to Birmingham Opera Company's landmark production of Tippett's fourth opera, The Ice Break.

He was a talking head for a documentary on A Child of Our Time (dir. Tim Marrinan, 2013 - available to view left).

Oliver has worked with BBC radio producers to develop radio programmes on both Tippett and T. S. Eliot, and has lectured on the same topic at London University and (in summer 2018) the University of Cambridge. He has also recorded voice-overs for programmes and documentaries on BBC Radios 3 and 4 (including Amanda Vickery on Men, Voices from the Old Bailey, The Invention of Free Speech and Twenty Minutes) and provided readings to accompany numerous talks and lectures, for the London Handel Festival and others.