NIK RUSKUC - CURRICULUM VITAE
(updated November 1, 2017)

SUMMARY

My contact with mathematics beyond the normal school level began with mathematical Olympiads. It grew quickly into a fascination with the subject, and, by the age of 15, I was determined to try and become a university teacher. In secondary school I won several provincial and state Olympiads, participated in one International Mathematical Olympiad, won numerous school prizes and completed two final years in one. Next, I completed a four year undergraduate course at the University of Novi Sad in less than three years, scoring maximal possible marks in all but three of the exams, and obtaining prizes in each year. During my Ph.D. studies at the University of St Andrews, in which I studied semigroup presentations, I published more than ten papers, gave several talks at various seminars and conferences, and completed the degree in two and a half years. I have subsequently held a number of temporary and permanent positions in the School of Mathematics and Statistics. Currently I am Professor of Mathematics and Head of School. I have continued working on semigroup presentations, and also extended my interests into a number of related areas such as automatic structures, combinatorics of permutations and general/universal algebra. I have written over 100 publications, most in leading international journals, delivered over 50 invited lectures, collaborated with over 40 mathematicians, supervised 28 Ph.D. students and won several research grants. My lecture courses are very popular with students, three of whom won prizes for their projects, and many of whom continue with postgraduate studies.

CONTENTS

General data

School education

Undergraduate studies

Postgraduate studies

Employment history

Teaching

Academic leadership and administration

Research

Invited lectures

Publications

GENERAL DATA

Surname: Ruskuc.

First name: Nikola (Nik).

Date of birth: 14 August, 1968.

Place of birth: Novi Sad, Serbia.

Citizenship: U.K. and Serbia.

Home address: 1 Moir Crescent, St Andrews, Fife, KY16 8XN, Scotland, U.K.

Occupation: Professor of Mathematics and Head of School of Mathematics and Statistics, University of St Andrews.

Office address: School of Mathematics and Statistics, University of St Andrews, St Andrews KY16 9SS, Scotland, UK; phone 01334 463787; fax 01334 463748; email nik.ruskuc@st-andrews.ac.uk; URL http://www-groups.st-and.ac.uk/~nik/.

Professional Qualifications:

Languages: English, Serbian, Russian.

Other interests: literature, philosophy, music, theatre, art, travelling.

SCHOOL EDUCATION

Schools attended:

Awards:

Mathematical Olympiads:

UNDERGRADUATE STUDIES

University: University of Novi Sad, Novi Sad, Serbia.

Duration: From June 1986 to May 1990, with a one year break in 1987/88 for National Service (a four year degree finished in less than three years).

Contents of the degree: Courses in all major branches of mathematics; courses in physics, computer science, economics and sociology; a total of 31 courses.

Average marks in different years (scale: 5-10): 10.00 (1st year), 9.85 (2nd year), 10.00 (3rd year), 9.57 (4th year).

Total average mark (scale: 5-10): 9.87.

Awards:

POSTGRADUATE STUDIES

University: University of St Andrews, St Andrews, Scotland.

Duration: from October 1992 to April 1995.

Scholarships: University of St Andrews Scholarship and Overseas Research Student Award Scheme (ORS).

Subject: Algebra.

Supervisors: Professors J.M. Howie and E.F. Robertson.

Research: presentations of semigroups, connections between group presentations and semigroup presentations, computational methods for finitely presented semigroups, simple semigroups, matrix semigroups, varieties of semigroups.

Thesis: Semigroup Presentations, St Andrews, 1995.

Viva: April 1995.

Examiners: Dr C.M. Campbell (St Andrews), Dr P.M. Neumann (Oxford).

Graduation: July 1995.

EMPLOYMENT HISTORY

1990-1991: Teaching Assistant, University of Novi Sad.

1992-1995: Undergraduate Tutor (part-time), University of St Andrews.

1995-1996: Teaching and Research Fellow, University of St Andrews.

1996-1997: Research Assistant, University of St Andrews.

1997-2000: Lecturer in Pure Mathematics, University of St Andrews.

2000-2004: Reader in Pure Mathematics, University of St Andrews.

2004-present: Professor of Mathematics, University of St Andrews.

2010-2015: Head of School.

Research Leave: 2004/05, 2015/16.

TEACHING

Subjects lectured: SMSTC Algebra (Groups) (2007-2009) First Year Mathematics (2005-2007), First Year Pure and Applied Mathematics (1999-2003), First Year Topics in Mathematics: Problem-solving Techniques (2014, 2016), Second Year Algebra and Analysis (yearly 1999-2000, 2003, 2008, 2009), Second Year Discrete Mathematics (yearly 2002-2004), Fundamentals of Pure Mathematics (2005-2008, 2012, 2014), Finite Mathematics (bi-yearly 1996-2002), Groups (yearly 1995-1998, 2006-2010), Graph Theory (2016), Semigroups (bi-yearly 1999-2003, 2012, 2014), Semigroups (M.Sc.) (2001, 2003), Symbolic Computation (1995), Supervision of 50+ undergraduate projects.

Course development:

M.Sc. Supervision:

Other teaching: supervising honours students in summer vacation programmes (1994-2006); supervising individual preparations for mathematical olympiads of talented pupils, and teaching to larger classes of interested pupils in local schools.

Professional training: Induction course for new teaching staff, Dundee, 1995.

Membership in the professional institutions: Higher Education Academy (formerly Institute for Learning and Teaching in Higher Education), Edinburgh Mathematical Society, London Mathematical Society.

Grants: Teaching with GAP, SALTIRE, University of St Andrews, 2002, £2000.

Achievements: very high approval ratings by the students; four project students won departmental prizes for best projects; a significant number of students continuing with post-graduate studies in group theory, semigroup theory, combinatorics and related areas, both in St Andrews (see below) and elsewhere (6).

ACADEMIC SERVICE

Duties:

External Appointments/Service:

Conference Organisation:

Professional training:

Achievements: The Algebra Research Group is one of the largest and most dynamic algebra groups in the UK. It has had outstanding success in producing high quality publications, recruiting postgraduate students (13 in 2003/04, against a declining national trend), attracting external funding and collaborations. Pure Mathematics Division received a Grade 5 in the 2001 RAE; it has also made significant progress in attracting students into the courses for which it is responsible, and changing the students' perception of the subject matter as being hard and technical. These, of course, are achievements of all the staff involved, and I do not claim any special credit, except, perhaps, for consciously encouraging the development of a dynamic, enthusiastic and friendly environment. I do, however, believe that my efficient and purposeful handling of administration has contributed to the success of all the above bodies.

RESEARCH

Statement: My research covers a wide area within the fields of Algebra, Discrete Mathematics and Theoretical Computer Science. In my opinion these fields have played a crucial role in the 20th century Mathematics: they have provided an umbrella for the fundamental results on incompleteness and undecidability, and, at the same time, the necessary language and methodology for the emerging computer technology. Spanning these there is a vast area scattered with gems of knowledge. I see my research work as looking, together with my collaborators and students, for these gems, discovering and classifying them. And, while searching, we are constantly developing and re-inventing the underlying mathematical language.

Research interests: semigroup presentations; combinatorics on permutations and words; group presentations; transformation semigroups; algorithmic and computational methods in algebra; automatic structures; formal languages and automata; universal algebra.

Collaborators (excluding research students during their studies): M.H. Albert (Dunedin, New Zealand), I. Araujo, M.D. Atkinson (Dunedin, New Zealand), H. Ayik (Adana, Turkey), M. Bouvel (Bordeaux), M.J.J. Branco (Lisbon, Portugal), R. Brignall (Open University), A.J. Cain (Porto), C.M. Campbell (St Andrews), C. Carvalho (Herefordshire), S. Crvenkovic (Novi Sad, Serbia), L. Descalco (Aveiro, Portugal), I. Dolinka (Novi Sad, Serbia), E. Dombi (Strathclyde), A.J. Duncan (Newcastle), J. East (Western Sydney), V.H. Fernandes (Lisbon, Portugal), N.D. Gilbert (Heriot Watt, Edinburgh), G.M.S. Gomes (Lisbon, Portugal), V. Gould (York), R. Gray (Lisbon), P.Z. Hermann (Budapest, Hungary), P.M. Higgins (Colchester), M. Hoffmann (Leicester), J.M. Howie (St Andrews), S. Huczynska (St Andrews), S.A. Linton (St Andrews), N.J. Loughlin (Newcastle), V. Maltcev (Kiev), J.D. Mitchell (St Andrews), M. Morayne (Wroclaw, Poland), M. Neunhöffer (St Andrews), G. Oliver, F. Otto (Kassel, Germany), G. Pfeiffer (Galway, Ireland), M. Quick (St Andrews), E.F. Robertson (St Andrews), R. Smith (SUNY Brockport), R.M. Thomas (Leicester), Y. Unlu (Adana, Turkey), V. Vatter (Florida, Gainesville), A.R.Wallis (Heriot Watt), J. West, J. Wiegold (Cardiff).

Supervision of Ph.D. students:

Ph.D. Examining:

Research grants:

Research visits:

External Appointments/Service:

Membership in the professional institutions: Edinburgh Mathematical Society, London Mathematical Society, EPSRC Peer Review College.

Professional training:

INVITED LECTURES

Invited lectures:

Other conference talks:

PUBLICATIONS

  1. S. Crvenkovic, N. Ruskuc, On semigroups having n2 essentially n-ary polynomials, Algebra Universalis 30(1993), 269-271.
  2. S. Crvenkovic, N. Ruskuc, On groupoids having n2 essentially n-ary polynomials, Review of Research, Faculty of Science, Math. Ser. 23, 1(1993), 287-312.
  3. N. Ruskuc, On the rank of completely 0-simple semigroups, Math. Proc. Cambridge Philos. Soc. 116(1994), 325-338.
  4. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Fibonacci semigroups, J. Pure Appl. Algebra 94(1994), 49-57.
  5. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Semigroup presentations and minimal ideals, in `The Proceedings of the ICMS Workshop on Geometric and Combinatorial Methods in Group Theory', A.J. Duncan et al. (eds.), Cambridge University Press, 1994, 29-42.
  6. J.M. Howie, N. Ruskuc, Constructions and presentations for monoids, Comm. Algebra 22(1994), 6209-6224.
  7. N. Ruskuc, Matrix semigroups- generators and relations, Semigroup Forum 51(1995), 319-333.
  8. N. Ruskuc, Semigroup Presentations (Ph.D. Thesis, University of St Andrews, 1995). Electronic copy..
  9. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Semigroup and group presentations, Bull. London Math. Soc. 27(1995), 46-50.
  10. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Rewriting a semigroup presentation, Internat. J. Algebra Comput. 5(1995), 81-103.
  11. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Reidemeister-Schreier type rewriting for semigroups, Semigroup Forum 51(1995), 47-62.
  12. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, On semigroups defined by Coxeter type presentations, Proc. Royal Soc. Edinburgh, 125(1995), 1063-1075.
  13. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Y. Unlu, Certain one-relator products of semigroups, Comm. Algebra 23(1995), 5207-5219.
  14. S. Crvenkovic, N. Ruskuc, Log-linear varieties of semigroups, Algebra Universalis 33(1995), 370-374.
  15. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Subsemigroups of finitely presented semigroups, J. Algebra 180(1996), 1-21.
  16. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, On subsemigroups and ideals in free products of semigroups, Internat. J. Algebra Comput. 6 (1996), 571-591.
  17. S.A. Linton, G. Pfeiffer, E. F. Robertson, N. Ruskuc, Monoid, GAP refereed share package 22 (1997).
  18. N. Ruskuc, On large subsemigroups and finiteness conditions of semigroups, Proc. London Math. Soc. 76 (1998), 383-405.
  19. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Presentations for subsemigroups--applications to ideals of semigroups, J. Pure Appl. Algebra 124 (1998), 47-64.
  20. P.M. Higgins, J.M. Howie, N. Ruskuc, On relative ranks of full transformation semigroups, Comm. Algebra 26 (1998), 733-748.
  21. P.M. Higgins, J.M. Howie, N. Ruskuc, Generators and factorizations of transformation semigroups, Proc. Roy. Soc. Edinburgh. 128 (1998), 1355-1369.
  22. J.M. Howie, N. Ruskuc, `Semigroups and Applications' (Proceedings), World Scientific, Singapore, 1998.
  23. S.A. Linton, G. Pfeiffer, E.F. Robertson, N. Ruskuc, Groups and actions in transformation semigroups, Math. Z. 228 (1998), 435-450.
  24. E.F. Robertson, N. Ruskuc, J. Wiegold, Generators and relations of direct products of semigroups, Trans. Amer. Math. Soc. 350 (1998), 2665-2685.
  25. N. Ruskuc, R.M. Thomas, Syntactic and Rees indices of subsemigroups, J. Algebra 205 (1998), 435-450.
  26. N. Ruskuc, A note on maximal group homomorphic images of completely simple semigroups, Semigroup Forum 58 (1999), 466-467.
  27. N. Ruskuc, Presentations for subgroups of monoids, J. Algebra 220 (1999), 365-380.
  28. H. Ayik, N. Ruskuc, Generators and relations of Rees matrix semigroups, Proc. Edinburgh Math. Soc. 42 (1999), 481-495.
  29. C.M. Campbell, E.F. Robertson, N. Ruskuc, G.C. Smith, `Groups St Andrews 1997 in Bath' (Proceedings, 2 Volumes), Cambridge University Press, Cambridge, 1999.
  30. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Groups, semigroups and finite presentations, in `Geometric Group Theory Down Under', J. Cossey et al. (eds.), Walter de Gruyter, Berlin, 1999, 55-69.
  31. A.J. Duncan, E.F. Robertson, N. Ruskuc, Automatic monoids and change of generators, Math. Proc. Cambridge Philos. Soc., 127 (1999), 403-409.
  32. P.Z. Hermann, E.F. Robertson, N. Ruskuc, On products of all elements of a finite semigroup, Proc. Edinburgh Math. Soc. 42 (1999), 551-557.
  33. N. Ruskuc, On finite presentability of monoids and their Schutzenberger groups, Pacific J. Math. 195 (2000), 487-509.
  34. N. Ruskuc, Presentations for monoids, their maximal subgroups, and Schutzenberger groups, in `Algorithmic Problems in Groups and Semigroups', J.-C. Birget et al. (eds.), Birkhauser, Boston, 2000, 235-249.
  35. I.M. Araujo, N. Ruskuc, On finite presentability of direct products of semigroups, Algebra Colloq. 7 (2000), 83-91.
  36. R.E. Arthur, N. Ruskuc, Presentations for two extensions of the monoid of order-preserving mappings on a finite chain, Southeast Asian Bull. Math. 24 (2000), 1-7.
  37. H. Ayik, C.M. Campbell, J.J. O'Connor, N. Ruskuc, Minimal presentations and efficiency of semigroups, Semigroup Forum 60 (2000), 231-242.
  38. H. Ayik, C.M. Campbell, J.J. O'Connor, N. Ruskuc, On the efficiency of finite simple semigroups, Turkish J. Math 24 (2000), 129-146.
  39. H. Ayik, C.M. Campbell, J.J. O'Connor, N. Ruskuc, On the efficiency of wreath products of groups, in `Groups Korea 98', Y.C. Baik et al. (eds.), Walter de Gruyter, Berlin, 2000, 39-51.
  40. H. Ayik, C.M. Campbell, J.J. O'Connor, N. Ruskuc, The semigroup efficiency of direct powers of groups, in `Proceedings of the International Conference on Semigroups, Braga, Portugal', P. Smith et al. (eds.), World Scientific, Singapore, 2000, 19-25.
  41. H. Ayik, C.M. Campbell, J.J. O'Connor, N. Ruskuc, The semigroup efficiency of groups and monoids, Math. Proc. Roy. Irish Acad. Sect. A, 100 (2000), 171-176.
  42. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Direct products of automatic semigroups, J. Austral. Math. Soc. 69 (2000), 19-24.
  43. S. Crvenkovic, I. Dolinka, N. Ruskuc, Notes on the number of operations of finite semigroups, Acta Sci. Math. (Szeged) 66 (2000), 23-31.
  44. I.M. Araujo, N. Ruskuc, Finite presentability of Bruck-Reilly extensions of groups, J. Algebra 242 (2001), 20-30. DOI: 10.1006/jabr.2001.8810 .
  45. I.M. Araujo, M.J.J. Branco, V.H. Fernandes and G.M.S. Gomes, N. Ruskuc, On generators and relations for unions of semigroups, Semigroup Forum 63 (2001), 49-62.
  46. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Automatic semigroups, Theoret. Comput. Sci. 250 (2001), 365-91. DOI: 10.1016/S0304-3975(99)00151-6.
  47. S. Crvenkovic, I. Dolinka, N. Ruskuc, Finite semigroups with few term operations, J. Pure Appl. Algebra 157 (2001), 205-214. DOI: 10.1016/S0022-4049(00)00017-7.
  48. S. Crvenkovic, I. Dolinka, N. Ruskuc, The Berman conjecture is true for finite surjective semigroups and their inflations, Semigroup Forum 62 (2001), 103-114. DOI: 10.1007/s002330010010.
  49. F. Otto, N. Ruskuc, Confluent monadic string-rewriting systems and automatic structures, J. Autom. Lang. Comb. 6 (2001), 375-388.
  50. E.F. Robertson, N. Ruskuc, M.R. Thomson, On diagonal acts of monoids, Bull. Austral. Math. Soc. 63 (2001), 167-175. DOI: 10.1017/S0004972700019225.
  51. M.D. Atkinson, M.M. Murphy, N. Ruskuc, Partially well-ordered closed sets of permutations, Order 19 (2002), 101-113. DOI: 10.1023/A:1016500300436. arXiv:math/0310321.
  52. M.D. Atkinson, M.M. Murphy, N. Ruskuc, Sorting with two ordered stacks in series, Theoret. Comput. Sci. 289 (2002), 205-223. DOI: 10.1016/S0304-3975(01)00270-5.
  53. C.M. Campbell, J.D. Mitchell, N. Ruskuc, On defining groups efficiently without using inverses, Math. Proc. Cambridge Philos. Soc. 133 (2002), 31-36. DOI: 10.1017/S0305004102005959. Offprint.
  54. C.M. Campbell, J.D. Mitchell, N. Ruskuc, On the efficiency and deficiency of Rees matrix semigroups, in Semigroups, Algorithms, Automata and Languages (Coimbra, 2001), 331-339, World Sci. Publishing, River Edge, NJ, 2002.
  55. C.M. Campbell, J.D. Mitchell, N. Ruskuc, Comparing semigroup and monoid presentations for finite monoids, Monatsh. Math. 134 (2002), 287-293. DOI: 10.1007/s605-002-8263-7.
  56. C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas, Automatic completely simple semigroups, Acta Math. Hungar. 95 (2002), 201-215. DOI: 10.1023/A:1015632704977.
  57. L. Descalco, N. Ruskuc, On automatic Rees matrix semigroups, Comm. Algebra 30 (2002), 1207-1226. DOI: 10.1080/00927870209342378.
  58. M. Hoffmann, N. Ruskuc, R.M. Thomas, Automatic semigroups with subsemigroups of finite Rees index, Internat. J. Algebra Comput. 12 (2002), 463-476. DOI: 10.1142/S0218196702000833.
  59. S.A. Linton, G. Pfeiffer, E.F. Robertson, N. Ruskuc, Computing transformation semigroups, J. Symb. Comput. 33 (2002), 145-162.
    DOI: 10.1006/jsco.2000.0406.
  60. E.F. Robertson, N. Ruskuc, M.R. Thomson, On finite generation and other finiteness conditions for wreath products of semigroups, Comm. Algebra 30 (2002), 3851-3873. DOI: 10.1081/AGB-120005823.
  61. M.H. Albert, M.D. Atkinson, N. Ruskuc, Regular closed sets of permutations, Theoret. Comput. Sci. 306 (2003), 85-100. DOI: 10.1016/S0304-3975(03)00212-3. arXiv:math/0209022 http://arxiv.org/abs/math/0209022
  62. P.M. Higgins, J.M. Howie, N. Ruskuc, Set products in transformation semigroups, Proc. Roy. Soc. Edinburgh Sec. A, 133 (2003), 1121-1135. DOI: 10.1017/S0308210500002833.
  63. P.M. Higgins, J.M. Howie, J.D. Mitchell, N. Ruskuc, Countable versus uncountable relative ranks in infinite semigroups of transformations and relations, Proc. Edinburgh Math. Soc. 46 (2003), 531-544.
    DOI: 10.1017/S0013091502000974.
  64. P.M. Higgins, J.D. Mitchell, N. Ruskuc, Generating the full transformation semigroup using order preserving mappings, Glasgow Math. J. 45 (2003), 557-566. DOI: 10.1017/S0017089503001460. Offprint.
  65. E.F. Robertson, N. Ruskuc, M.R. Thomson, Finite generation and presentability of wreath products of monoids, J. Algebra 266 (2003), 382-392. DOI: 10.1016/S0021-8693(03)00311-9.
  66. M.H. Albert, S.A. Linton, N. Ruskuc, The insertion encoding of permutations, Electron. J. Combin. 12 (2005), Research Paper 47, 31 pp. (electronic). Offprint.
  67. M.D. Atkinson, M.M. Murphy, N. Ruskuc, Pattern avoidance classes and subpermutations, Electron. J. Combin. 12 (2005), Research Paper 60, 18 pp. (electronic). Offprint.
  68. L. Descalco, N. Ruskuc, Subsemigroups of the bicyclic monoid, Internat. J. Algebra Comput. 15 (2005), 37-57. DOI: 10.1142/S0218196705002098.
  69. E.R. Dombi, N.D. Gilbert, N. Ruskuc, Finite presentability of HNN extensions of inverse semigroups, Internat. J. Algebra Comput. 15 (2005), 423-436. DOI: 10.1142/S021819670500227X.
  70. P. Gallagher, N. Ruskuc, Finitary power semigroups of infinite groups are not finitely generated, Bull. London Math. Soc. 37 (2005), 386-390. DOI: 10.1112/S0024609304004175.
  71. P. Gallagher, N. Ruskuc, Generation of diagonal acts of some semigroups of transformations and relations, Bull. Austral. Math. Soc. 72 (2005), 139-146. DOI: 10.1017/S0004972700034924.
  72. R. Gray, N. Ruskuc, Generating sets of completely simple 0-simple semigroups, Comm. Algebra 33 (2005), 4657-4678.
    DOI: 10.1080/00927870500276676.
  73. A.J. Cain, E.F. Robertson, N. Ruskuc, Subsemigroups of virtually free groups: finite Malcev presentations and testing for freeness, Math. Proc. Cambridge Philos. Soc. 141 (2006), 57-66. DOI: 10.1017/S0305004106009236. Offprint.
  74. A.J. Cain, E.F. Robertson, N. Ruskuc, Subsemigroups of groups: presentations, Malcev presentations, and automatic structures, J. Group Theory 9 (2006), 397-426. DOI: 10.1515/JGT.2006.027.
  75. P.M. Higgins, J.D. Mitchell, M. Morayne, N. Ruskuc, Rank properties of endomorphisms of infinite partially ordered sets, Bull. London Math. Soc. 38 (2006), 177-191. DOI: 10.1112/S0024609305018138.
  76. C.A. Carvalho, N. Ruskuc, Finite presentability of Bruck-Reilly extensions of semilattices, Comm. Algebra 34 (2006), 3301-3313. DOI: 10.1080/00927870600778563.
  77. C.A. Carvalho, N. Ruskuc, On finite presentability of Bruck-Reilly extensions of a monoid endomorphism and its powers, Algebra Colloq. 14 (2007), 389-402.
  78. C.A. Carvalho, N. Ruskuc, A finitely presented monoid with a non-finitely generated group of units, Arch. Math. 89 (2007), 109-113. DOI: 10.1007/s00013-007-2138-y.
  79. C.A. Carvalho, N. Ruskuc, Finite presentability of Bruck-Reilly extensions of Clifford monoids, J. Algebra Appl. 6 (2007), 801-814.
    DOI: 10.1142/S0219498807002508.
  80. P. Gallagher, N. Ruskuc, On finite generation and presentability of Schutzenberger products, J. Austral. Math. Soc. 83 (2007), 357-367.
    DOI: 10.1017/S1446788700037976.
  81. R. Brignall, N. Ruskuc, V. Vatter, Simple permutations: decidability and unavoidable structures, Theoret. Comput. Sci. 391 (2008), 150-163. DOI: 10.1016/j.tcs.2007.10.037. arXiv:1003.3176.
  82. A.J. Cain, G. Oliver, N. Ruskuc, R.M. Thomas, Automatic presentations for cancellative semigroups, in Language and Automata Theory and Applications, Lecture Notes in Computer Science 5196, Springer, Berlin, 2008.
  83. A.J. Cain, E.F. Robertson, N. Ruskuc, Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions, J. Australian Math. Soc. 84 (2008), 39-61. DOI: 10.1017/S1446788708000086. Preprint.
  84. L. Descalco, N. Ruskuc, Properties of the subsemigroups of the bicyclic monoid, Czech. Math. J. 58(133) (2008), 311-330. DOI: 10.1007/s10587-008-0018-7. Preprint.
  85. R. Gray, N. Ruskuc, Green index and finiteness conditions for semigroups, J. Algebra 320 (2008), 3145-3164. DOI: 10.1016/j.jalgebra.2008.07.008. Preprint.
  86. S. Huczynska, N. Ruskuc, Pattern classes of permutations via bijections between linearly ordered sets, Europ. J. Combinat. 29 (2008), 118-139. DOI: 10.1016/j.ejc.2006.12.005. Preprint.
  87. A.J. Cain, G. Oliver, R.M. Thomas, N. Ruskuc, Automatic presentations for semigroups, Inform. and Comput. 207 (2009), 1156-1168.
    DOI: 10.1016/j.ic.2009.02.005. Preprint.
  88. R. Gray, N. Ruskuc, On residual finiteness of direct products of algebraic systems, Monathsh. Math. 158 (2009), 63-69. DOI: 10.1007/s00605-008-0036-4. Preprint.
  89. E. Dombi, N. Ruskuc, On generators and presentations of semidirect products in inverse semigroups, Bull. Austral. Math. Soc. 79 (2009), 353-365. DOI: 10.1017/S0004972708000890. Preprint.
  90. V. Maltcev, J.D. Mitchell, N. Ruskuc, The Bergman property for semigroups, J. London Math. Soc. 80 (2009), 212-232. DOI: 10.1112/jlms/jdp025. Preprint.
  91. M.H. Albert, M.D. Atkinson, R. Brignall, N. Ruskuc, R. Smith, J. West, Growth rates for subclasses of Av(321), Electron. J. Combin. 17(1) (2010), Research Paper 141, 16 pp. (electronic). Offprint.
  92. M.H. Albert, S.A. Linton, N. Ruskuc, On the permutational power of token passing networks, in `Permutation Patterns (St Andrews 2007)' (S.A. Linton, N. Ruskuc, V. Vatter, eds.), LMS Lecture Notes Series 376, CUP, Cambridge, 2010, 317-338. DOI: 10.1017/CBO9780511902499.016.
  93. A.J. Cain, G. Oliver, R.M. Thomas, N. Ruskuc, Automatic presentations and semigroup constructions, Theory Comput. Syst. 47 (2010), 568-592. DOI: 10.1007/s00224-009-9216-4. Preprint.
  94. S.A. Linton, N. Ruskuc, V. Vatter, eds., Permutation Patterns (St Andrews 2007), LMS Lecture Notes Series 376, CUP, Cambridge, 2010. DOI: 10.1017/CBO9780511902499.
  95. M. Quick, N. Ruskuc, Growth of generating sets for direct powers of classical algebraic structures, J. Austral. Math. Soc. 89 (2010), 105-126. DOI: 10.1017/S1446788710001473. Preprint.
  96. M.D. Atkinson, N. Ruskuc, R. Smith, Substitution-closed patterns classes, J. Combinat Theory A 118 (2011), 317-340. DOI: 10.1016/j.jcta.2010.10.006. Preprint.
  97. M.H. Albert, S.A. Linton, N. Ruskuc, V. Vatter, S. Waton, On Convex Permutations, Discrete Math. 311 (2011), 715-722.
    DOI: 10.1016/j.disc.2011.01.009. Preprint.
  98. R. Brignall, N. Ruskuc, V. Vatter, Simple extensions of combinatorial structures, Mathematika 57 (2011), 193-214.
    DOI: 10.1112/S0025579310001518. arXiv:1003.3176
  99. C.A. Carvalho, R. Gray, N. Ruskuc, Presentations of inverse semigroups, their kernels and extensions, J. Austral. Math. Soc. 90 (2011), 289-316. DOI: 10.1017/S1446788711001297. Preprint.
  100. I. Dolinka, N. Ruskuc, Finite groups are big as semigroups, Arch. Math. 97 (2011), 209-217. DOI: 10.1007/s00013-011-0297-3. Preprint.
  101. R. Gray, N. Ruskuc, Generators and relations for subsemigroups via boundaries in Cayley graphs, J. Pure Appl. Algebra 215 (2011), 2761-2779. DOI: 10.1016/j.jpaa.2011.03.017. Preprint.
  102. A.J. Cain, R. Gray, N. Ruskuc, Green index in semigroups: generators, presentations and automatic structures, Semigroup Forum 85 (2012), 448-476.
    DOI: 10.1007/s00233-012-9406-2. arXiv:1003.3176.
  103. A.J. Cain, N. Ruskuc, R.M. Thomas, Unary FA-presentable semigroups, Internat. J. Algebra Comput. 22 (2012), 1250038, 29 pp.
    DOI: 10.1142/S0218196712500385. Preprint.
  104. R. Gray, N. Ruskuc, Free idempotent generated semigroups over the full transformation monoid, Proc. London Math. Soc. 104 (2012), 997-1018.
    DOI: 10.1112/plms/pdr054. arXiv:1101.1833v1.
  105. R. Gray, N. Ruskuc, On maximal subgroups of free idempotent generated semigroups, Israel J. Math. 189 (2012), 147-176.
    DOI: 10.1007/s11856-011-0154-x. arXiv:1003.3176.
  106. J.T. Hyde, N.J. Loughlin, M. Quick, N. Ruskuc, A.R.Wallis, On the growth of generating sets for direct powers of semigroups, Semigroup Forum 84 (2012), 116-130.
    DOI: 10.1007/s00233-011-9352-4. Preprint.
  107. N. Abu-Gazalh, N. Ruskuc, On disjoint unions of finitely many copies of the free monogenic semigroup, Semigroup Forum 87 (2013), 243-256.
    DOI: 10.1007/s00233-013-9468-9. arXiv:1205.6169.
  108. M.H. Albert, M.D. Atkinson, M. Bouvel, N. Ruskuc, V. Vatter, Geometric Grid Classes of Permutations, Trans. Amer. Math. Soc. 365 (2013), 5859-5881.
    DOI: 10.1090/S0002-9947-2013-05804-7 arXiv:1108.6319.
  109. I. Dolinka, N. Ruskuc, Every group is a maximal subgroup of the free idempotent generated semigroup over a band, Internat. J. Algebra Comput. 23 (2013), 573-581.
    DOI: 10.1142/S0218196713500100 arXiv:1301.1225.
  110. A.J. Cain, N. Ruskuc, Subalgebras of FA-presentable algebras, Algebra Universalis 72 (2014), 101-123.
    DOI: 10.1007/s00012-014-0293-0 arXiv:1206.5548.
  111. G.M.S. Gomes, N. Ruskuc, John Macintosh Howie: work and legacy, Semigroup Forum 89 (2014), 2-19.
  112. R. Gray, V. Maltcev, J.D. Mitchell, N. Ruskuc, Ideals and finiteness conditions for subsemigroups, GlasgowMath. J. 56 (2014), 65-86.
    DOI: 10.1017/S0017089513000086 arXiv:1204.6602.
  113. R. Gray, N. Ruskuc, On residual finiteness of monoids, their Schützenberger groups and associated actions, J. Algebra 407 (2014), 21-45.
    DOI: 10.1016/j.jalgebra.2014.02.025 arXiv:1003.3176.
  114. J.-E. Pin, L. Márki, G.M.S. Gomes and N. Ruskuc (eds.), Issue dedicated to John M. Howie, Semigroup Forum 89 (2014).
  115. N. Abu-Ghazalh, J.D. Mitchell,Y. Péresse, N. Ruskuc, A classification of disjoint unions of two or three copies of the free monogenic semigroup, Semigroup Forum 91 (2015), 53-61.
    DOI: 10.1007/s00233-014-9638-4 arXiv:1312.5518.
  116. M.H. Albert, N. Ruskuc, V. Vatter, Inflations of geometric grid classes of permutations, Israel J. Math. 205 (2015), 73-108.
    DOI: 10.1007/s11856-014-1098-8 arXiv:1202.1833.
  117. S. Huczynska, N. Ruskuc, Homomorphic image orders on combinatorial structures, Order 32 (2015), 205-226. DOI: 10.1007/s11083-014-9326-8.
  118. S. Huczynska, N. Ruskuc, Well quasi-order in combinatorics: embeddings and homomorphisms, in Surveys in Combinatorics 2015 (A. Czumaj et al., eds.), LMS Lecture Note Series 424, CUP, Cambridge, 2015, pp. 261-293.
  119. T. Bourne, N. Ruskuc, On the star-height of subword counting languages and their relationship to Rees zero-matrix semigroups, Theoret. Comput. Sci. 653 (2016), 87-96. DOI: 10.1016/j.tcs.2016.09.024 arXiv:1603.06236.
  120. S. Craik, R. Gray, V. Kilibarda, J. Mitchell & N. Ruskuc, Ends of semigroups, Semigroup Forum 93 (2016), 330-346. DOI: 10.1007/s00233-016-9814-9 arXiv:1409.1044.
  121. J. Awang, M. Pfeiffer, N. Ruskuc, Finite presentability and isomorphism of Cayley graphs of monoids, Proc. Amer. Math. Soc. 145 (2017), 4585-4593. DOI: 10.1090/proc/13557 arXiv:1602.08502.
  122. I. Dolinka, R. Gray, N. Ruskuc, On regularity and the word problem for free idempotent generated semigroups, Proc. London Math. Soc. 114 (2017), 401-432. DOI: 10.1112/plms.12011 arXiv:1412.5167.
  123. V. Gould, M. Hartmann, N. Ruskuc, Free monoids are coherent, Proc. Edinburgh Mathematical Society, 60 (2017), 127-131. DOI: 10.1017/S0013091516000079 arXiv:1412.7340.
  124. S. Huczynska, N. Ruskuc, On well quasi-order of graph classes under homomorphic image orderings, Europ. J. Combinat. 63 (2017), 164-175. DOI: 10.1016/j.ejc.2017.03.008 arXiv:1611.01200.
  125. P. Mayr, N Ruskuc, Finiteness properties of direct products of algebraic structures, J. Algebra, to appear. arXiv:1604.05408.
  126. M.H. Albert, R. Brignall, N. Ruskuc, V. Vatter, Rationality for subclasses of 321-avoiding permutations, submitted. arXiv:1602.00672.
  127. J. East, J.D. Mitchell, N. Ruskuc, M. Torpey, Congruence lattices of finite diagram monoids, submitted. arXiv:1709.00142.
  128. P. Mayr, N Ruskuc, Presentations for subrings and subalgebras of finite co-rank, submitted. arXiv:1709.04435.
  129. C. Miller, N Ruskuc, An introduction to presentations of monoid acts: quotients and subacts, submitted. arXiv:1709.08916.
  130. M. Neunhöffer, M. Pfeiffer, N. Ruskuc, Deciding word problems of semigroups using finite state automata, submitted. arXiv:1206.1714.
  131. A. Clayton, N. Ruskuc, On the number of subsemigroups of N×N, in preparation.
  132. P. Mayr, N Ruskuc, Generating subdirect products, in preparation.

Nik Ruskuc November 1, 2017