He was a member of the British Academy Working Group on Interdisciplinarity, led by David Soskice, which in 2016 published a report titled 'Crossing paths: interdisciplinary institutions, careers, education and applications', alongside other notable academics such as Colette Fagan, Tom McLeish, Professor Georgina Born, Julia Black, Barry C. Smith and Graeme Reid. Gombrich was also a core member of the NVAO accreditation panel for the Liberal Arts and Sciences Colleges of the Netherlands.