__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__

Academic leadership and administration

**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:**

- B.Sc. University of Novi Sad, Novi Sad, Serbia, 1990;
- Ph.D. University of St Andrews, St Andrews, Scotland, 1995.

**Languages:**
English, Serbian, Russian.

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

**Schools attended:**

- Primary School Zarko Zrenjanin, Novi Sad, 1975-1983;
- Secondary Medical School, Novi Sad, 1983-1985;
- School of Mathematics and Science Jovan Jovanovic Zmaj, Novi Sad, 1985/86 (two years completed in one year).

**Awards:**

- award
*Vukova Diploma*for the overall performance in secondary school; - three awards
*Mika Petrovic Alas*for the performance in Mathematics; - school prize for the best mathematician in 1985/86.

**Mathematical Olympiads:**

- four times winner in the Regional (Vojvodina) Olympiad (1983-86);
- twice winner and twice the runner-up in the Yugoslavian Olympiad (1983-86);
- participant in the International Mathematical Olympiad in Warszaw, Poland (1986).

**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:**

- three First Rank departmental prizes for the performance in the 1st, 2nd and 3rd years;
- three First Rank university prizes for the performance in the 1st, 2nd and 3rd years;
- First Rank departmental prize for the overall performance;
- First Rank university prize for the overall performance.

**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.

**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.

**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:**

- 2014: Development of two out of five Topics in Mathematics: Problem-solving Techniques for First Year students.
- SMSTC - Scottish Mathematical Sciences Training Centre, joint development of the Groups part of the Algebra Stream.
- 2005: Development of curriculum and course materials for a level 3 module Fundamentals of Pure Mathematics.
- 2002-2003 : A leading role in a radical overhaul of the School's degree structure. This includes replacing the M.Sci. degree with a more distinctive M.Math. degree, creation of a whole series of new courses (one on Level 3 and six on Level 5 in Pure Mathematics), the design of new degree pathways, and specification of degree requirements.
- 2001-2002: Leadership in re-engineering the second year Discrete Mathematics Course, to bring it more in line with the contemporary computational trends.
- 1995- : Re-designing each of the courses I lectured,
and production of high quality lecture notes, tutorial sheets,
solutions, advanced problem sheets, computer practicals, and miscellaneous reading materials;
currently taught ones can be inspected at

xlink`www-groups.mcs.st-and.ac.uk/~nik/Courses/`http://www-groups.mcs.st-and.ac.uk/~nik/Courses/. - 1997: Part of a team revising the provision and structure of Pure Mathematics at honours level.

**M.Sc. Supervision:**

- C. Carvalho (coursework and dissertation), 2003;
- R. Brignall (coursework and dissertation), 2003/04;
- S. Inch (coursework), 2006/07.
- A. Bergabo (dissertation), 2012.

**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).

**Duties:**

- University of St Andrews Promotions Panel (2014, 2015, 2016);
- Head of School (2010-15);
- Deputy Head of School (2008-2010);
- Head of the Algebra stream in SMSTC (2008);
- co-ordinator of the Pure Mathematics submission for the 2007 RAE;
- Head of the Pure Mathematics Division (2001-04, 2007-2010);
- member of the School Management Group (2001-04, 2007-);
- Head of the Algebra research group (1997-2008);
- postgraduate recruitment officer for Algebra and Pure Mathematics (1997-2004);
- organiser of the `Combinatorial Algebra Seminar' (1997-2004);
- member of the Research Committee (2005-);
- member of the Postgraduate Committee (1998-2001);
- member of the Staff-Student Council (1997-2001).

**External Appointments/Service:**

- Assessor, undergraduate programmes, Essex University, 2005.
- External Assessor, postgraduate taught programmes, Essex University, 2006.
- External Examiner, Essex University 2005-2009.
- External Assessor, University of Glasgow, 2009.
- EPSRC prioritisation panel: December 2008, March 2009, March 2012, July 2012 (chair, incl. fellowships), March 2013 (Programme Grants).
- External Assessor, University of Edinburgh, 2010.
- External Assessor, Heriot Watt University, February 2011.
- External Examiner (Algebra), University of York, 2018-.

**Conference Organisation:**

- (with J.M. Howie) Semigroups and Applications, St Andrews, July 1997;
- (with N.D. Gilbert and I. Gordon) Scottish Algebra Day, Edinburgh, May 2003.
- (with J.M. Howie) Combinatorial and Computational Group Theory (in honour of E F Robertson's 60th birthday), St Andrews, May 2003.
- (with J.D. Mitchell), Computational and Algorithmic Aspects of Semigroup Theory, St Andrews, September 2006.
- (with S.A. Linton and V. Vatter) Permutation Patterns, St Andrews, June 2007.

**Professional training:**

- Recruitment and selection procedures, St Andrews, December 2003.
- Leadership Foundation course for Heads of Schools, 2010.

**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.

**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),
Y. Dandan (Xidian, China),
W. DeMeo,
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),
M. Hartmann,
P.Z. Hermann (Budapest, Hungary),
P.M. Higgins (Colchester),
M. Hoffmann (Leicester),
J.M. Howie (St Andrews),
S. Huczynska (St Andrews),
K. Kearnes (CU Boulder),
S.A. Linton (St Andrews),
N.J. Loughlin (Newcastle),
V. Maltcev (Kiev),
P. Mayr (CU Boulder),
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),
M. Torpey,
R.M. Thomas (Leicester),
Y. Unlu (Adana, Turkey),
V. Vatter (Florida, Gainesville),
A.R.Wallis (Heriot Watt),
J. West,
J. Wiegold (Cardiff),
R. Zeinab (Sukkur IBA University, Pakistan).

**Supervision of Ph.D. students:**

- (unofficial)
Mohammed Ibrahim, 1994-1997, thesis
*Semigroup Presentations*; - (unofficial)
Hayrullah Ayik,
1995-1998, thesis
*Presentations and Efficiency of Semigroups*; - M. Robert Thomson, 1997-2001, thesis
*Finiteness Conditions of Semigroups and Related Properties of Diagonal Acts*; - Isabel M. Araujo, 1998-2001, thesis
*Presentations for Semigroup Constructions and Related Computational Methods*; - Luis Descalco,
1999-2002, thesis
*Automatic Semigroups: Constructions and Subsemigroups*; - James D. Mitchell,
1999-2002, thesis
*Extremal Problems in Combinatorial Semigroup Theory*; - Maximillian M. Murphy, 1999-2003, thesis
*Restricted Permutations, Antichains, Atomic Classes and Stack Sorting*; - Erzsebet R. Dombi, 2001-2004, thesis
*Automatic*;*S*-acts and Inverse Semigroup Presentations - Nelson Silva, 2001-2006, thesis
*Computing with Permutations and Transformations*; - Peter Gallagher, 2002-2005, thesis
*On the Finite Generation and Presentability of Diagonal Acts, Finitary Power Semigroups and Schutzenberger Products*; - Robert Gray,
2002-2005, thesis
*A Graph Theoretic Approach to Combinatorial Problems in Semigroup Theory*; - Alan Cain, 2002-2005, thesis
*Presentations for Subsemigroups of Groups*; - Catarina Carvalho, 2002-2005, thesis
*Generation and Presentations of Semigroup Constructions: Bruck-Reilly Extensions and P-semigroups*; - Steve Waton, 2003-2007, thesis
*On Permutation Classes Defined by Token Passing Networks, Gridding Matrices and Pictures: Three Flavours of Involvement*; - Robert Brignall,
2004-2007, thesis
*Simplicity in Relational Structures and its Application to Permutation Classes*; - Fiona Brunk, 2005-2009, thesis
*Intersection Problems in Combinatorics*; - Andreas Diestler, 2006-2010, thesis
*Classification and Enumeration of Finite Semigroups*; - Victor Maltcev, 2006-2012, thesis
*Topics in Combinatorial Semigroup Theory*; - Nabilah Abu-Ghazalh, 2009-2013, thesis
*Finiteness Conditions for Unions of Semigroups*; - Simon Craik, 2008-2013,
thesis
*Ends of Semigroups*; - Markus Pfeiffer, 2008-2013;
thesis
*Adventures in Applying Iteration Lemmas*; - Jennifer Awang, 2010-2015,
thesis
*Dots and Lines : Geometric Semigroup Theory and Finite Presentability*; - Alexander McLeman, 2010-2015,
thesis
*Cayley Automaton Semigroups*; - Samuel Baynes, 2010-2015,
thesis
*On Generators, Relations and D-Simplicity of Direct Products, Byleen Extensions, and Other Semigroup Constructions*; - Rachael Carey, 2011-2016,
thesis
*Graph Automatic Semigroups*; - James Hyde, 2010-2017,
thesis
*Constructing 2-Generated Subgroups of the Group of Homeomorphisms of Cantor Space*; - Thomas Bourne, 2013-2017, thesis
*Counting Subwords and Other Results Related to the Generalised Star-Height Problem for Regular Languages*; - Matthew McDevitt, 2015-19, thesis
*Orderings on Words and Permutations*; - Ashley Clayton, 2016-2020, thesis
*Subdirect products of free semigroups and monoids*; - Craig Miller, 2016-2020, thesis
*Finiteness conditions on semigroups relating to their actions and one-sided congruences*; - Fernando Flores Brito, 2016-;
- Gerard O'Reilly, 2017-.
- Bill DeWitt, 2019-.

**Ph.D. Examining:**

- A. Cutting, University of St Andrews, December 2000.
- M.E. Kambites, University of York, August 2003.
- E. Kimber, University of St Andrews, February 2006.
- J. East, University of Sydney, Spring 2006.
- G. Oliver, University of Leciester, November 2006.
- S.C. Lovell, University of Leeds, December 2006.
- C. Hollings, University of York, September 2007.
- Elizabeth Miller, Heriot-Watt, February 2009.
- Yann Peresse, University of St Andrews, September 2009.
- F. Soares de Almeida, Lisbon, December 2010.
- J.D. McPhee, University of St Andrews, September 2012.
- N.C. Ham, University of Tasmania, February 2016.
- J. Jonusas, University of St Andrews, August 2016.
- L. Agarwal, University of Leeds, September 2016.
- C. Donoven, University of St Andrews, October 2016.
- D. Bennett, University of St Andrews, September 2017.
- W. Wilson, University of St Andrews, October 2018.
- K.M. Berg, Colorado University Boulder, March 2019.
- T. Jack, Colorado University Boulder, March 2020.
- I. Djurdjev, University of Novi Sad, Secember 2020.

**Research grants:**

*Presentations for substructures of algebraic structures*, The Nuffield Foundation SCI/180/97/54/G, July 1998, £4000.*Combinatorial and geometric theory of groups and semigroups and its applications to computer science*, INTAS, June 2000, Euros 3000.- International Short Visits Scheme, London Mathematical Society, June 2001, £1900.
*Pattern classes of permutations*(PI), EPSRC GR/S41074/01, September 2003, £5433.*Applications of automata and languages in the theory of pattern classes of permutations*(PI), EPSRC GR/S53503/01, January 2004, £157723.*Semigroups and monoids in GAP*(PI), EPSRC GR/S56085/01, January 2004, £144327.*Multidisciplinary Critical Mass in Computational Algebra and its Applications*(coI), EPSRC EP/C523229/1, September 2005, £1098897.*Automata, Languages, Decidability in Algebra*(PI), EPSRC EP/H011978/1, 2010-2014, £350974.*The Structure of Permutation Classes*(PI), EPSRC EP/J006440/1, 2011-2014, £66715.*Representation Theory of Semigroups*(PI), EPSRC EP/I032282/1, 2012-2015, £97569.*Diagram Monoids and Their Congruences*(PI), EPSRC EP/S020616/1, 2018-2021, £43794.

**Research visits:**

- Budapest, Miskolc, Szeged (Hungary), March 1996;
- Lisbon (Portugal), November 1997, May-June 1999, March, June, December 2010; May, July 2012.
- Milan, Florence (Italy), November 1998.
- Dunedin (New Zealand), October-November 2000, November 2001, January-February 2004, January-February 2005, December 2007, January 2010, January 2012.
- Leicester, February 2001.
- Evora (Portugal), July 2001.
- Gainesville, Florida, USA, November 2011.
- Open University, October 2012, May 2017, July 2019.
- York, January 2013, May 2018, June 2019.
- Linz, Austria, March 2013, November 2013.
- Wroclaw, Poland, May 2013.
- University of East Anglia, November 2013, March 2014, July 2014, October 2014, May 2015, February 2016, May 2016, September 2017, December 2018.
- Dresden, Germany, November 2015.
- University of Western Sydney, November 2018, January 2019.
- University of Colorado, Boulder, October 2015, April 2016, November 2017, February-March 2018, March 2019.

**External Appointments/Service:**

- EPSRC panels: standard proposals, fellowships, programme grants (2); panel chair (three times, including 2-3/05/2016).
- Academy of Finland / Review panel in mathematics, 2013;
- Carnegie Trust for Scotland Mathematics Assessor, 2014-;
- Australian Research Council Assessor, 2016-.

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

**Professional training:**

- Managing Research Assistants, Strathclyde University, Glasgow 1999.
- Managing Your Research Students, University of St Andrews, St Andrews, May 2001.
- EPSRC College Launch Day, Edinburgh, March 2003.

**Invited lectures:**

*Generators and relations for some common semigroups*, University of St Andrews Colloquium, St Andrews, Scotland, U.K., December 1993.*Investigating the structure of a finitely presented semigroup*, University of Glasgow, Glasgow, Scotland, February 1994.*Investigating the structure of a finitely presented semigroup*, Edinburgh University, Edinburgh, Scotland, February 1994.*Groups and semigroups in St Andrews*, RWTH, Aachen, Germany, September 1994.*Semigroup and group presentations--computational aspects*, University College, Galway, Ireland, February 1995.*Are semigroups semi-groups? (Combinatorial examples)*, Mathematical Institute of the Hungarian Academy of Science, Budapest, Hungary, March 1996.*Subsemigroups of free semigroups*, University of Miskolc, Miskolc, Hungary, March 1996.*Subsemigroups of finitely presented semigroups*, University of Szeged, Szeged, Hungary 1996.*Presentations for simple semigroups*, Workshop on Theory of Semigroups, Lisbon, Portugal, May 1996. Slides.*When is the direct product of two semigroups finitely presented?*, University of St Andrews, St Andrews, Scotland, U.K., December 1996.*Groups, semigroups and presentations*, Groups Bath-St Andrews 1997, Bath, England, August 1997. Slides.*Computational semigroup theory and GAP*, with G. Pfeiffer, a series of 12 lectures and practical sessions, Lisbon, Portugal, November 1997. Slides 1. Slides 2. Slides 3.*Generators and relations for direct products of semigroups*, York, England, December 1997. Slides.*On index and combinatorial finiteness conditions for semigroups*, Edinburgh, Scotland, January 1998. Slides.*On index and combinatorial finiteness conditions for semigroups*, QMW, London, England, February 1998. Slides.*Index for subsemigroups: combinatorial and computational issues*, Leicester, England, March 1998. Slides.*Schützenberger groups*, International Conference on Algorithmic Problems in Groups and Semigroups, Lincoln, Nebraska, U.S.A., May 1998. Slides.*Finite presentability of direct products of semigroups*, CGAMA, Edinburgh, Scotland, July 1998. Slides.*Presentations for semigroups and groups related to them*, Bath, England, October 1998. Slides.*Presentations for semigroups and groups related to them*, Glasgow, Scotland, October 1998. Slides.*Presentations for semigroups and groups related to them*, Florence, Italy, November 1998.*Combinatorial semigroup theory: results and problems*, University of London Algebra Seminar, Imperial College, London, England, February 1999. Slides.*Semigroup presentations*, Newcastle, England, March 1999. Slides.*Computational tools in semigroup theory and their application to semigroup presentations*, a series of 10 lectures, Lisbon, Portugal, May 1999.*On minimal presentations for groups, semigroups and monoids*, Leicester, England, February 2001. Slides.*Combinatorial properties of wreath products and diagonal acts*, Thematic Term on Semigroups, Algorithms, Automata and Languages, Coimbra, Portugal, July 2001. Slides.*On the Berman Conjecture on*, International Workshop on Semigroups, Automata, and Formal Languages, Crema, Italy, June, 2002. Slides.*p*-sequences of Finite Semigroups_{n}*Subsemigroups of the Bicyclic Monoid*, Joint AMS-UMI Meeting, Pisa, Italy, June 2002. Slides: Slides. Figure 1. Slides.talks/pisafig2.pdf*Relative ranks in infinite transformation semigroups*, Glasgow, Scotland, October 2002. Slides.*Generators and Defining Relations for Unions of Semigroups*, International Workshop on Semigroups and Languages, Lisbon, Portugal, November 2002. Slides.*Generators and Presentations for Wreath Products and Diagonal Acts of Semigroups*, University of Edinburgh and Heriot Watt Algebra Seminar, Edinburgh, April 2003. Slides.*Pattern Avoidance in Permutations*, Cambridge University, May 2003. Slides.*Generators and Defining Relations for Direct Products of Semigroups*, NSAC2003, Novi Sad, Serbia, August 2003. Slides.*Decidability Questions for Pattern Avoidance Classes of Permutations*, Cambridge, October 2004. Slides.*Decidability Questions for Pattern Avoidance Classes of Permutations*, Australasian Computer Science Week, CATS 2005, Newcastle, NSW, February 2005. Slides.*Presentations for (Sub)semigroups*, International Algebraic Conference, Ekaterinburg, Russia, September 2005. Slides.*Presentations of (Sub)semigroups*, Pure Mathematics Colloquium, Leeds, March 2006. Slides.*Presentations for Bruck-Reilly Extensions and Groups of Units*, Semigroups, Categories and Automata (Fountainfest), York, October 2006. Slides.*Endomorphism Monoids of Graphs and Partial Orders*, Combinatorics of Arc-Transitive Graphs and Partial Orders, Leeds, August 2007. Slides.*Endomorphism Monoids of Combinatorial Structures*, 32nd Australasian Conference on Combinatorial Mathematics & Combinatorial Computing, Dunedin, New Zealand, December 2007. Slides. Printable version.*Some interesting properties of direct products of groups, semigroups and other algebraic structures*, Maximals, Edinburgh, February 2008. Slides. Printable version.*Diagonal Acts and Applications*, BMC, York, March 2008. Slides. Printable version.*Monoids and Their Cayley Graphs*, Northern British Geometric Group Theory Network, Leeds, April 2008. Slides. Printable version.*Some Combinatorial Properties of Direct Products of Groups, Semigroups and Other Algebraic Structures*, Groups Galway 2008, Galway, May 2008. Slides. Printable version.*Residual Finiteness of Monoids, Associated Actions and Groups*, SAGE, University of Essex, August 2008. Slides. Printable version.*Some Combinatorial Properties of Direct Products of Groups, Semigroups and Other Algebraic Structures*, York, November 2008. Slides. Printable version.*Residual Finiteness of Monoids, Associated Actions and Groups*, Newcastle, November 2008. Slides. Printable version.*One Relation Semigroups*, NBSAN, York, January 2009. Slides. Printable version.*Growth of Generating Sets of Direct Powers*, ICGS2009, Lincoln, Nebraska, May 2009. Slides. Printable version.*Rewriting Generators for (Sub)Semigroups*, International Conference on Semigroups and Related Topics, Porto, Portugal, July 2009. Slides. Printable version.*Growth of Generating Sets of Direct Powers*, Glasgow, 30 September 2009. Slides. Printable version.*Growth of Generating Sets of Direct Powers*, Lisbon, 26 March 2010.*Substitution decompositions and pattern classes of permutations*, NORCOM2010, Reykjavik, 26 May 2010. Slides.*Grid Pattern Classes*, Permutation Patterns 2010, Dartmouth College, 11 August 2010. Slides.*Grid Pattern Classes*, DIMAP Seminar, Warwick, 16 November 2010. Slides.*1+1=2: applications to direct products of semigroups*, Lisbon, 16 December 2010. Slides.*Generating Direct Powers*, University of Florida, Gainesville, Florida, 21 November 2011.*Generating Direct Powers*, AAA83, Novi Sad, Serbia, 16 March 2012. Slides.*Permutations and Words*, Open University, 15 May 2012. Slides.*Ranks of Semigroups*, Workshop on Semigroups (To remember John M. Howie on the occasion of his 76th birthday), Lisbon, 24 May 2012. Slides.*Free idempotent generated semigroups*, Semigroups and Applications, Uppsala, 1 September 2012. Slides.*Hopfian property for semigroups*, York, 23 January 2013. Slides.*Permutations and Words*, Strathclyde, Glasgow, 15 February 2013. Slides., Linz, Austria, 26 March 2013. Slides.*1+1=2*makes direct products interesting*Free idempotent generated semigroups*, NSAC2013, Novi Sad, Serbia, 6 June 2013. Slides.*Permutations and words*, University of East Anglia, Norwich, 4 November 2013. Slides.*Permutations and words*, Linz, Austria, 18 November 2013. Slides.*Language Theoretic and Geometric Methods for Permutation Pattern Classes*, FPSAC 2014, Chicago, June 2014. Slides.*Well Quasi Order in Combinatorics: Embeddings and Homomorphisms*, British Mathematical Conference 2015, Warwick, July 2015. Slides.*Well Quasi-Order in Combinatorics and Algebra*, Summer School in Algebra and Ordered Sets 2015, Srni, Czech Republic, August 2015. Slides.*Free idempotent generated semigroups*, Graduate Algebra Seminar, Univeristy of Colorado, Boulder, October 2015.*Well quasi-order: words and permutations*, Logic Seminar, Univeristy of Colorado, Boulder, October 2015.*Classes of permutations avoiding*, Dresdner Mathematisches Seminar, Dresden, November 2015. Slides.*231*or*321**Finiteness properties for direct products of semigroups*, Graduate Algebra Seminar, Univeristy of Colorado, Boulder, April 2016.*One relation groups and semigroups*, Logic Seminar, Univeristy of Colorado, Boulder, April 2016.*Congruence Lattices of Partition Monoids*, York, February 2017. Slides.*Congruence Lattices of Partition Monoids*, AAA94 & NSAC 2017, Novi Sad, Serbia, June 2017. Slides.*On groups of units in one relation monoids and inverse monoids*, Winter One-Relator Workshop, UEA Norwich, January 2018. Slides.*Classes of permutations avoiding 231 or 321*, Kempner Colloquium, CU Boulder, February 2018. Slides.*Classes of permutations avoiding 231 or 321*, CSU Algebraic Combinatorics Seminar, Fort Collins, March 2018. Slides.*Diagram Monoids and their Congruence Lattices*, The Asia-Australia Algebra Conference, Western Sydney University, January 2019. Slides.*Decidability of the WQO problem for permutations under the consecutive pattern involvement*, Scottish Combinatorics Meeting, April 2019. Slides.

**Other conference talks:**

, Summer School in Algebra and Ordered Sets, Kuncice pod Ondreinikem, Czechoslovakia, September 1991;*p*-sequences of semigroups_{n}*Semigroup and group presentations*, British Mathematical Colloquium, Cardiff, Wales, March 1994;*Constructions and presentations for semigroups*, Conference on Semigroups, Automata and Languages, Porto, Portugal, Jun 1994;*Searching for index*, Semigroups and Their Applications, Prague, Czech Republic, July 1996;*Computing in transformation semigroups*, GAP Workshop, Aachen, Germany, September 1996.*Some (easy?) questions concerning semigroup presentations*, Third International Colloquium on Words, Languages and Combinatorics, Kyoto, Japan, March 2000;*Automatic semigroups*, Workshop on Algebraic Systems, Formal Languages and Computations, Kyoto, Japan, March 2000;*Todd-Coxeter type methods for finitely presented inverse semigroups*, International Conference on Geometrical and Combinatorial Methods in Group Theory and Semigroup Theory, Lincoln, Nebraska, U.S.A., May 2000;*Decidability Questions for Pattern Avoidance Classes of Permutations*, International Conference on Permutation Patterns, Gainesville, Florida, U.S.A., March 2005.

- S. Crvenkovic, N. Ruskuc,
On semigroups having
*n*essentially^{2}*n*-ary polynomials,*Algebra Universalis***30**(1993), 269-271. - S. Crvenkovic, N. Ruskuc,
On groupoids having
*n*essentially^{2}*n*-ary polynomials,*Review of Research, Faculty of Science, Math. Ser. 23*,**1**(1993), 287-312. - N. Ruskuc, On the rank of completely 0-simple semigroups,
*Math. Proc. Cambridge Philos. Soc.***116**(1994), 325-338. - C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas,
Fibonacci semigroups,
*J. Pure Appl. Algebra***94**(1994), 49-57. - 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.
- J.M. Howie, N. Ruskuc,
Constructions and presentations for monoids,
*Comm. Algebra***22**(1994), 6209-6224. - N. Ruskuc, Matrix semigroups- generators and relations,
*Semigroup Forum***51**(1995), 319-333. - N. Ruskuc,
*Semigroup Presentations*(Ph.D. Thesis, University of St Andrews, 1995). Electronic copy.. - C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas,
Semigroup and group presentations,
*Bull. London Math. Soc.***27**(1995), 46-50. - C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas,
Rewriting a semigroup presentation,
*Internat. J. Algebra Comput.***5**(1995), 81-103. - C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas,
Reidemeister-Schreier type rewriting for semigroups,
*Semigroup Forum***51**(1995), 47-62. - 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. - 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. - S. Crvenkovic, N. Ruskuc,
Log-linear varieties of semigroups,
*Algebra Universalis***33**(1995), 370-374. - C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas,
Subsemigroups of finitely presented semigroups,
*J. Algebra***180**(1996), 1-21. - 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. - S.A. Linton, G. Pfeiffer, E. F. Robertson, N. Ruskuc,
Monoid, GAP refereed share package
**22**(1997). - N. Ruskuc, On large subsemigroups and finiteness conditions of semigroups,
*Proc. London Math. Soc.***76**(1998), 383-405. - 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. - P.M. Higgins, J.M. Howie, N. Ruskuc,
On relative ranks of full transformation semigroups,
*Comm. Algebra***26**(1998), 733-748. - P.M. Higgins, J.M. Howie, N. Ruskuc,
Generators and factorizations of transformation
semigroups,
*Proc. Roy. Soc. Edinburgh.***128**(1998), 1355-1369. - J.M. Howie, N. Ruskuc, `Semigroups and Applications' (Proceedings), World Scientific, Singapore, 1998.
- S.A. Linton, G. Pfeiffer, E.F. Robertson, N. Ruskuc,
Groups and actions in transformation semigroups,
*Math. Z.***228**(1998), 435-450. - E.F. Robertson, N. Ruskuc, J. Wiegold,
Generators and relations of direct products of
semigroups,
*Trans. Amer. Math. Soc.***350**(1998), 2665-2685. - N. Ruskuc, R.M. Thomas,
Syntactic and Rees indices of subsemigroups,
*J. Algebra***205**(1998), 435-450. - N. Ruskuc, A note on maximal group homomorphic images
of completely simple semigroups,
*Semigroup Forum***58**(1999), 466-467. - N. Ruskuc, Presentations for subgroups of monoids,
*J. Algebra***220**(1999), 365-380. - H. Ayik, N. Ruskuc, Generators and relations of Rees matrix semigroups,
*Proc. Edinburgh Math. Soc.***42**(1999), 481-495. - 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.
- 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.
- A.J. Duncan, E.F. Robertson, N. Ruskuc,
Automatic monoids and change of generators,
*Math. Proc. Cambridge Philos. Soc.*,**127**(1999), 403-409. - 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. - N. Ruskuc, On finite
presentability of monoids and their
Schutzenberger groups,
*Pacific J. Math.***195**(2000), 487-509. - 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.
- I.M. Araujo, N. Ruskuc,
On finite presentability of direct products of semigroups,
*Algebra Colloq.***7**(2000), 83-91. - 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. - H. Ayik, C.M. Campbell, J.J. O'Connor, N. Ruskuc,
Minimal presentations and efficiency of semigroups,
*Semigroup Forum***60**(2000), 231-242. - 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. - 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.
- 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.
- 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. - C.M. Campbell, E.F. Robertson, N. Ruskuc, R.M. Thomas,
Direct products of automatic semigroups,
*J. Austral. Math. Soc.***69**(2000), 19-24. - S. Crvenkovic, I. Dolinka, N. Ruskuc,
Notes on the number of operations of finite semigroups,
Acta Sci. Math. (Szeged)
**66**(2000), 23-31. - 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 . - 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. - 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. - 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. - 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. - F. Otto, N. Ruskuc,
Confluent monadic string-rewriting systems and automatic structures,
*J. Autom. Lang. Comb.***6**(2001), 375-388. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - L. Descalco, N. Ruskuc,
On automatic Rees matrix semigroups,
*Comm. Algebra***30**(2002), 1207-1226. DOI: 10.1080/00927870209342378. - 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. - 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. - 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. - 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 - 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. - 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. - 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. - 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. - 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. - 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. - L. Descalco, N. Ruskuc,
Subsemigroups of the bicyclic monoid,
*Internat. J. Algebra Comput.***15**(2005), 37-57. DOI: 10.1142/S0218196705002098. - 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. - 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. - 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. - R. Gray, N. Ruskuc,
Generating sets of completely simple 0-simple semigroups,
*Comm. Algebra***33**(2005), 4657-4678.

DOI: 10.1080/00927870500276676. - 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. - 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. - 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. - C.A. Carvalho, N. Ruskuc,
Finite presentability of Bruck-Reilly extensions of semilattices,
*Comm. Algebra***34**(2006), 3301-3313. DOI: 10.1080/00927870600778563. - 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. - 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. - 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. - P. Gallagher, N. Ruskuc,
On finite generation and presentability of Schutzenberger products,
*J. Austral. Math. Soc.***83**(2007), 357-367.

DOI: 10.1017/S1446788700037976. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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.
- 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. - 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.
- 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. - 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. - 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. - R. Brignall, N. Ruskuc, V. Vatter,
Simple extensions of combinatorial structures,
*Mathematika***57**(2011), 193-214.

DOI: 10.1112/S0025579310001518. arXiv:1003.3176 - 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. - I. Dolinka, N. Ruskuc, Finite groups are big as semigroups,
*Arch. Math.***97**(2011), 209-217. DOI: 10.1007/s00013-011-0297-3. Preprint. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - G.M.S. Gomes, N. Ruskuc,
John Macintosh Howie: work and legacy,
*Semigroup Forum***89**(2014), 2-19. - 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. - 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. - J.-E. Pin, L. Márki, G.M.S. Gomes and N. Ruskuc (eds.),
Issue dedicated to John M. Howie,
*Semigroup Forum***89**(2014). - 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. - 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. - S. Huczynska, N. Ruskuc,
Homomorphic image orders on combinatorial structures,
*Order***32**(2015), 205-226. DOI: 10.1007/s11083-014-9326-8. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - J. East, J.D. Mitchell, N. Ruskuc, M. Torpey, Congruence lattices of finite diagram monoids,
*Adv. Math.*,**333**(2018), 931-1003.

DOI: 10.1016/j.aim.2018.05.016 arXiv:1709.00142. - K. Kearnes, P. Mayr, N. Ruskuc,
Solvable quotients of subdirect products of perfect groups are nilpotent,
*Bull. London Math. Soc.***50**(2018), 1016-1026. DOI: 10.1112/blms.12196 arXiv:1804.02999. - P. Mayr, N. Ruskuc, Finiteness properties of direct products of algebraic structures,
*J. Algebra***494**(2018), 167-187. DOI: 10.1016/j.jalgebra.2017.09.035 arXiv:1604.05408. - M.H. Albert, R. Brignall, N. Ruskuc, V. Vatter,
Rationality for subclasses of
*321*-avoiding permutations,*Europ. J. Combinat.***78**(2019), 44-72. DOI: 10.1016/j.ejc.2019.01.001 arXiv:1602.00672. - A. Clayton, N. Ruskuc,
On the number of subsemigroups of direct products involving the free monogenic semigroup,
*J. Austral. Math. Soc.*, to appear. DOI: 10.1017/S1446788718000605 arXiv:1803.08091. - P. Mayr, N. Ruskuc, Generating subdirect products,
*J. London Math. Soc.***100**(2019), 404-424. DOI: 10.1112/jlms.12221 arXiv:1802.09325. - C. Miller, N. Ruskuc,
An introduction to presentations of monoid acts: quotients and subacts,
*Comm. Algebra***47**(2019). 782-799.

DOI: 10.1080/00927872.2018.1498862 arXiv:1709.08916. - Y. Dandan, V. Gould, M. Hartmann, N. Ruskuc, R. Zeinab,
Coherency and constructions for monoids,
*Q. J. Math.***71**(2020), 1461-1488. DOI: 10.1093/qmath/haaa040 arXiv:1906.05515. - W. DeMeo, P. Mayr, N. Ruskuc, Bounded homomorphisms and finitely generated fiber products of lattices,
*Internat. J. Algebra Comput.***30**(2020), 693-710. DOI: 10.1142/S0218196720500174 arXiv:1907.08046 . - P. Mayr, N. Ruskuc, Presentations for subrings and subalgebras of finite co-rank,
*Q. J. Math.***71**(2020), 53-71. DOI: 10.1093/qmathj/haz033 arXiv:1709.04435. - C. Miller, N. Ruskuc,
Right Noetherian semigroups,
*Internat. J. Algebra Comput.***30**(2020), 13-48. DOI: 10.1142/S0218196719500632 arXiv:1811.08408. - J. East, N. Ruskuc,
Congruence lattices of ideals in categories and (partial) semigroups,
*Mem. Amer. Math. Soc*, to appear. arXiv:2001.01909. - M. McDevitt, N. Ruskuc,
Atomicity and well quasi-order for consecutive orderings on words and permutations,
*SIAM J. Discrete Math.*, to appear. arXiv:2003.10743. - R. D. Gray, N. Ruskuc, On groups of units of special and one-relator inverse monoids, arXiv:2103.02995.
- J. East, N. Ruskuc, Congruences on infinite partition and partial Brauer monoids, submitted. arXiv:1809.07427.
- J. East, N. Ruskuc, Classification of congruences of twisted partition monoids, submitted. arXiv:2010.04392.
- J. East, N. Ruskuc, Properties of congruences of twisted partition monoids and their lattices, submitted. arXiv:2010.09288.
- C. Miller, G. O'Reilly, M. Quick, N. Ruskuc, On separability finiteness conditions in semigroups, submitted. arXiv:2006.08499.
- G. O'Reilly, M. Quick, N. Ruskuc, On separability properties in direct products of semigroups, submitted. arXiv:2102.10872.

Nik Ruskuc March 24, 2021