Prof Nik Ruskuc

Prof Nik Ruskuc

Director of Research

Professor

Phone
+44 (0)1334 46 3787
Email
nik.ruskuc@st-andrews.ac.uk
Office
303 MI
Location
Mathematical Institute

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Research areas

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;Ìý

Group and semigroup presentations;

Transformation semigroups: properties of finite and infinite semigroups of mappings from a set into itself;

ÌýMachine and languages (theoretical computer science) in algebra: automatic structures, decidability;

Combinatorics of permutations, words, etc: pattern classes, decidability questions in combinatorics;Ìý

Computational algebra: algorithms and packages for computing with algebraic structures.Ìý

PhD supervision

  • CallumÌýBarber
  • StruanÌýMcCartney
  • YayiÌýZhu

Selected publications

  • Open access
    Mayr, P. & Ruškuc, N., 1 Feb 2027, In: Journal of Algebra. 711, p. 730-770 41 p.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    East, J., Gray, R. D., Azeef Muhammed, P. A. & Ruškuc, N., 22 Aug 2026, In: Proceedings of the London Mathematical Society. 133, 2, 83 p., e70200.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Bevan, D., Brignall, R. & Ruškuc, N., 20 Aug 2026, In: Combinatorial Theory. 6, 2, 50 p.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    East, J., Gray, R. D., Muhammed, P. A. A. & Ruškuc, N., 1 Mar 2026, In: Journal of Algebra. 689, p. 819-861 43 p.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Ironmonger, V. & Ruškuc, N., 9 Jul 2026, In: Discrete Mathematics & Theoretical Computer Science. 28, 1, 31 p., 6.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Brookes, M., Gould, V. & Ruskuc, N., Jan 2025, In: Mathematika. 71, 1, 14 p., e70005.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Dolinka, I., East, J. & Ruskuc, N., 15 Jan 2025, In: Journal of Algebra. 662, p. 431-464

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Cho, J. W., Gould, V., Ruskuc, N. & Yang, D., 15 Jan 2025, In: Journal of Algebra. 662, p. 514-527

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Clayton, A., Reilly, C. & Ruskuc, N., 18 Feb 2025, (E-pub ahead of print) In: Journal of Algebra and Its Applications. Online Ready

    Research output: Contribution to journal › Article › peer-review

  • Open access
    East, J., Gray, R. D., Azeef Muhammed, P. A. & Ruškuc, N., 1 Jul 2025, In: Advances in Mathematics. 473, 61 p., 110288.

    Research output: Contribution to journal › Article › peer-review

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