Roy Crole is a member of the
- London Mathematical Society (LMS), and University Representative for Leicester,
- European Mathematical Society,
- European Association for Theoretical Computer Science,
and a fellow of
- The Education Academy, University of Leicester, UDTF
- Advance HE, SFHEA
- BCS, the Chartered Institute for IT, CITP FBCS
- the Institute of Mathematics and its Applications, CMath CSci FIMA,
- the Cambridge Philosophical Society (lifetime fellow),
and a past member of
- the American Mathematical Society,
- IEEE Computer Society.
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