Research output per year
Research output per year
Personal profile
Research overview
Combinatorial semigroup theory: generating sets for semigroups and defining semigroups by presentations (generators and defining relations); presentations for substructures and algebraic constructions;
Subsemigroups: index and rank;
Group and semigroup presentations;
Transformation semigroups: properties of finite and infinite semigroups of mappings from a set into itself;
Machine and languages (theoretical computer science) in algebra: automatic structures, decidability;
Combinatorics of permutations, words, etc: pattern classes, decidability questions in combinatorics;
Computational algebra: algorithms and packages for computing with algebraic structures.
Research interests
Combinatorial semigroup theory: generating sets for semigroups and defining semigroups by presentations (generators and defining relations); presentations for substructures and algebraic constructions;
Subsemigroups: index and rank;
Group and semigroup presentations;
Transformation semigroups: properties of finite and infinite semigroups of mappings from a set into itself;
Machine and languages (theoretical computer science) in algebra: automatic structures, decidability;
Combinatorics of permutations, words, etc: pattern classes, decidability questions in combinatorics;
Computational algebra: algorithms and packages for computing with algebraic structures.
Academic/Professional Qualification
B.Sc., Mathematics, University of Novi Sad; Ph.D., University of St Andrews
Fingerprint
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- 1 Similar Profiles
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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A characterisation of semigroups with only countably many subdirect products with Z
Clayton, A. M. W., Reilly, C. & Ruskuc, N., 4 Oct 2024, (E-pub ahead of print) In: Bulletin of the Australian Mathematical Society. First View, 10 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Coherency properties for monoids of transformations and partitions
Brookes, M., Gould, V. & Ruskuc, N., 28 Nov 2024, (Accepted/In press) In: Mathematika.Research output: Contribution to journal › Article › peer-review
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Congruences of maximum regular subsemigroups of variants of finite full transformation semigroups
Dolinka, I., East, J. & Ruskuc, N., 15 Jan 2025, In: Journal of Algebra. 662, p. 431-464Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Decidability of well quasi-order and atomicity for equivalence relations under embedding orderings
Ironmonger, V. L. & Ruskuc, N., 14 Feb 2024, (E-pub ahead of print) In: Order. 26 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Graph products of residually finite monoids are residually finite
Cho, J. W., Gould, V., Ruskuc, N. & Yang, D., 15 Jan 2025, In: Journal of Algebra. 662, p. 514-527Research output: Contribution to journal › Article › peer-review
Open AccessFile
Projects
- 10 Finished
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Right Noetherian and coherent monoids: Right Noetherian and coherent monoids
Ruskuc, N. (PI)
1/01/21 → 31/12/23
Project: Standard
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Diagram Monoids and Their Congruences: Diagram Monoids and Their Congruences
Ruskuc, N. (PI)
15/12/18 → 14/02/21
Project: Standard
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EPSRC Institutional Sponsorship 2012: EPSRC Institutional Sponsorship 2012
Ruskuc, N. (PI)
1/04/12 → 31/03/13
Project: Standard
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Theory of Semigroups: Representation theory of Semigroups
Ruskuc, N. (PI)
1/04/12 → 30/09/15
Project: Standard
Activities
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Diagram Monoids and their Congruence Lattices
Ruskuc, N. (Speaker)
21 Jan 2019Activity: Talk or presentation types › Invited talk
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University of Colorado
Ruskuc, N. (Visiting researcher)
1 Feb 2018 → 31 Mar 2018Activity: Visiting an external institution types › Visiting an external academic institution
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On groups of units in one relation monoids and inverse monoids
Ruskuc, N. (Speaker)
10 Jan 2018Activity: Talk or presentation types › Invited talk
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Classes of permutations avoiding 231 or 321
Ruskuc, N. (Speaker)
2018Activity: Talk or presentation types › Invited talk
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University of Western Sydney
Ruskuc, N. (Visiting researcher)
Nov 2017 → Jan 2019Activity: Visiting an external institution types › Visiting an external academic institution
Prizes
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Head of Division of Pure Mathematics, University of St Andrews, School of Mathematics and Statistics
Ruskuc, N. (Recipient), 2001
Prize: Appointment
Impacts
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Innovations in mathematics teaching using GAP
Linton, S. A. (Participant), Mitchell, J. D. (Participant) & , N. (Participant)
Impact: Educational Impact (Beyond St Andrews)
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Innovations in mathematics teaching using GAP (REF2014)
Linton, S. A. (Participant), , N. (Participant), Mitchell, J. D. (Participant) & Robertson, E. F. (Participant)
Impact