He is affiliated with the SFU Number Theory group, the Centre for Experimental and Computational Mathematics (CECM) and the IRMACS Centre (Explorations in Computational Number Theory project). Before his appointment at SFU in 2003, Professor Bruin was a Senior Research Associate with the MAGMA group within the School of Mathematics at the University of Sydney and a PIMS Postdoctoral fellow at Simon Fraser University and University of British Columbia. His research centres around theoretical and computational questions in arithmetic geometry. He has organized several conferences and workshops, many of them with PIMS support.