He has released four solo albums on Mute - Minus (2018), Liv (2019), On&On (2020) and Gut (2023) - and composed scores for films including The Brutalist (dir. Brady Corbet, 2024), Sotto le Nuvole/Pompei: Below The Clouds (dir. Gianfranco Rosi, 2025) and The Testament of Ann Lee (dir. Mona Fastvold, 2025). In 2025 he was awarded an Academy Award and BAFTA for his score for The Brutalist.

Blumberg is a visual artist who draws with silverpoint. His work has been exhibited at Balice Hertling Paris, Triennale di Milano, ICA London, Kunsthal Rotterdam, Deichtorhallen Hamburg and KW Institute for Contemporary Art Berlin.