- 1993 – Fellow of the Royal Society.
- 1998 – Founder Fellow of the Academy of Medical Sciences.
- 1999 – The USA charity March of Dimes awarded their annual prize in Developmental Biology for research into embryonic growth jointly to Professor Richard Gardner of Oxford University and Evans.
- 2001 – Albert Lasker Award for Basic Medical Research, jointly with Mario Capecchi and Oliver Smithies.
- 2002 – Honorary doctorate from Mount Sinai School of Medicine, New York, USA.
- 2004 – Knighthood (New Year Honours) ”for services to medical science”
- 2005 – Honorary doctorate from the University of Bath, England.
- 2007 – Nobel Prize in Physiology or Medicine, jointly with Mario Capecchi and Oliver Smithies.
- 2008 – Honorary doctorate from University College London, England.
- 2009 – Gold Medal of the Royal Society of Medicine
- 2009 – Copley Medal of the Royal Society
- 2009 – Member of the Advisory Board of the Faraday Institute

1. Two-generator groups with perfect Frattini subgroups, Proc. Amer. Math. Soc.100 (1987), 25-28.

2. A note on two-generator groups, Rocky Mountain J. Math., 17 (1987), 887-889.

3. (with Hyunyong Shin) Local conjugacy in finite groups, Arch. Math. (Basel), 50, (1988), 289-291.

4. Primitive elements in free groups, Proc. Amer. Math. Soc. 106, no. 2 (1989), 313-316.

5. Freely decomposable automorphism groups, Arch. Math. (Basel), 52, (1989), 420-423.

6. (with Martyn R. Dixon) Divisible automorphism groups, Quart. J. Math., Oxford (2), 41(1990), 179-188.

7. Torsion in pro-finite completions of torsion-free groups, J. Pure Appl. Algebra, 65 (1990), 101-104.

8. (with Martyn R. Dixon) Periodic divisible-by-finite automorphism groups are finite, J. Algebra, vol 137, No. 2 (1991), 416-424.

9. (with Martyn R. Dixon) On groups with a central automorphism of infinite order, Proc. Amer. Math. Soc., 114 (1992), 331-336.

10. Presentations of groups involving more generators than are necessary, Proc. London Math. Soc., (3) 67 (1993), 106-126.

11. T-systems of certain finite simple groups, Math. Proc. Camb. Phil. Soc., (1993), 113, 9, 9-22.

12. Presentations of the free metabelian group of rank two, Canad. Math. Bull. Vol. 37 (4), (1994), 468-472.

13. Some rings with many non-free, stably free modules, Quart. J. Math., Oxford (2), 46 (1995), 291-297.

14. (with Martyn R. Dixon and Howard Smith) Locally (soluble-by-finite) groups of finite rank, J. Algebra, vol. 182, (1996), 756-769.

15. (with Martyn R. Dixon and Howard Smith) Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank, Arch. Math. (Basel), Vol 66, 1-10, (1996)

16. (with David M. Riley) Lie algebras of finite subalgebra rank, Arch. Math. (Basel), 69, (1997), 185-191.

17. Presentations of free abelian-by-(nilpotent of class 2) groups, Bull. London Math. Soc. 30 (1998) 136-144.

18. (with Martyn R. Dixon and Howard Smith) On groups that are residually of finite rank, Israel J. Math., 107, (1998), 1-16.

19. (with Martyn R. Dixon and Howard Smith) Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank, J. Pure Appl. Algebra, 135, (1999), 33-44.

20. (with Martyn R. Dixon and Howard Smith) A Tits alternative for groups that are residually of finite rank, Israel J. Math., 109 (1999), 53-59.

21. (with Martyn R. Dixon and Howard Smith) On groups with rank restrictions on subgroups, Proceedings of Groups St Andrews 1997 in Bath, LMS Lecture Note Series, vol. 260, 237-247.

22 . Relation modules of infinite groups, Bull. London Math. Soc. 31, (1999), no.2, 154-162.

23. (with Martyn R. Dixon) Groups with the minimum condition on insoluble subgroups, Arch. Math. (Basel), 72, 1999, no.4, 241-251.

24. (with Martyn R. Dixon and Howard Smith), Groups with all proper subgroups (finite rank)-by-nilpotent, Arch. Math. (Basel), 72, 1999, no. 5, 321-327.

25. Epimorphisms between the free groups in a variety of groups, J. Algebra, 220, 492-511 (1999).

26. Primitive elements in the free metabelian group of rank 3, J. Algebra, 220, 475-491 (1999).

27. (with Martyn R. Dixon, Viatcheslav N. Obraztsov and James Wiegold), Groups that are covered by non-abelian simple groups, J. Algebra, 223, 511-526 (2000).

28. (with Martyn R. Dixon and Howard Smith), Groups with all proper subgroups nilpotent-by-finite rank, Arch. Math. (Basel), 75 (2000), no. 2, 81-91.

29. (with Martyn R. Dixon and Howard Smith), Groups with all proper subgroups (finite rank)-by-nilpotent II, Comm. Algebra, 29(3), 1183-1190 (2001).

30. (with Martyn R. Dixon and Howard Smith), Groups with some minimal conditions on non-nilpotent subgroups, J. Group Theory, 4 (2001), 207-215.

31. (with Martyn R. Dixon and Howard Smith), Locally soluble-by-finite groups with the weak minimal condition on non-nilpotent subgroups, J. Algebra, 249, 226-246 (2002) .

32. (with Martyn R. Dixon and Howard Smith), Groups with various minimal conditions on subgroups, Ukrainian Math. J., 54 (6), 957-966 (2002).

33. (with Martyn R. Dixon and Howard Smith), Minimal conditions, subgroups of infinite index and Frattini subgroups, Advances in groups theory 2002, 129-143, Aracne, Rome, 2003.

34. (with Youngmi Kim), On groups in which every subgroup of infinite rank is subnormal of bounded defect, Comm. Algebra, 32(7), 2547-2557 (2004).

35. (with Martyn R. Dixon and Howard Smith), On the derived length of subgroups of infinite index in soluble groups, J. Group Theory 7 (2004),127-133.

36. (with Martyn R. Dixon and Leonid A. Kurdachenko), Linear groups with the minimal condition on subgroups of infinite central dimension, J. Algebra, 277 (2004) 172-186.

37. (with Martyn R. Dixon and Howard Smith), A finiteness condition on subgroups of large derived length, J. Algebra, 280 (2004) 762-771.

38. (with Martyn R. Dixon and Howard Smith), Locally (soluble-by-finite) groups with various restrictions on subgroups of infinite rank, Glasgow Math. J. 47 (2005) 309-317.

39. (with Martyn R. Dixon and Howard Smith), Groups with all proper subgroups soluble-by-finite rank, J. Algebra, 289 (2005) 135-147.

40. (with Martyn R. Dixon and Leonid A. Kurdachenko), Linear groups with minimality condition for some infinite dimensional subgroups, Ukrainian Math. J. 57, no. 11, (2005) 1726-1740.

41. (with Martyn R. Dixon and Howard Smith), Embedding groups in locally (soluble-by-finite) simple groups, J. Group Theory 9 (2006), 383-395.

42. Presentations of groups involving more generators than are necessary, II, to appear in `Combinatorial Group Theory, Number Theory and Discrete Groups’ edited by B. Fine, A, Gaglione and D. Spellman. Contemporary Mathematics, A.M.S.

43. (with Martyn R. Dixon and Howard Smith), Some countably recongnizable classes of groups, to appear, J. Group Theory.

44. (with Martyn R. Dixon and Howard Smith), Groups with proper subgroups of certain types, to appear in `Proceedings of Ischia group theory conference, 2006’, World Scientific International.

45. Nielsen equivalence classes and stability graphs of finitely generated groups, to appear in `Proceedings of Ischia group theory conference, 2006’, World Scientific International.

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