 Groves has been the course director for BA Fashion Design at the University of Westminster since 2003.Alumni of the course include Christopher Bailey, Stuart Vevers, Markus Lupfer, Liam Hodges, Ashley Williams, Claire Barrow, and Roberta Einer.He is the director of the Westminster Menswear Archive, which he launched in 2015, which holds an extensive collection of British menswear including examples of Craig Green, Liam Hodges, Kim Jones, Aitor Throup, Vivienne Westwood, Nigel Cabourn, and Meadham Kirchhoff.