Prof James Mitchell

Professor

Researcher profile

Phone

+44 (0)1334 46 3722

Email

jdm3@st-andrews.ac.uk

Office

308 MI

Location

Mathematical Institute

 

PhD supervision

• Joseph Edwards
• Reinis Cirpons
• Murray Whyte
• Dorte Behrens
• Murray Whyte
• Reinis Cirpons
• Joseph Edwards

Selected publications

• Open access

  The Todd–Coxeter algorithm for semigroups and monoids

  Coleman, T., Mitchell, J. D., Tsalakou, M. & Smith, F. L., 3 May 2024, (E-pub ahead of print) In: Semigroup Forum.

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

• Open access

  Topological embeddings into transformation monoids

  Bardyla, S., Elliott, L., Mitchell, J. D. & Péresse, Y., 6 Jan 2024, (E-pub ahead of print) In: Forum Mathematicum. 18 p.

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

• Open access

  An algebraic model for inversion and deletion in bacterial genome rearrangement

  Clark, C., Jonušas, J., Mitchell, J. D. & Francis, A., 1 Aug 2023, In: Journal of Mathematical Biology. 87, 2, 23 p., 34.

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

• Open access

  An explicit algorithm for normal forms in small overlap monoids

  Mitchell, J. D. & Tsalakou, M., 15 Sept 2023, In: Journal of Algebra. 630, p. 394-433 40 p.

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

• Open access

  Counting monogenic monoids and inverse monoids

  Elliott, L., Levine, A. & Mitchell, J. D., 1 Nov 2023, In: Communications in Algebra. 51, 11, p. 4654-4661 8 p.

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

• Open access

  Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups

  Cameron, P. J., East, J., FtzGerald, D., Mitchell, J. D., Pebody, L. & Quinn-Gregson, T., 22 Dec 2023, In: Combinatorial Theory. 3, 3, 48 p., 16.

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

• Open access

  Polynomial time multiplication and normal forms in free bands

  Cirpons, R. & Mitchell, J. D., 10 Apr 2023, In: Theoretical Computer Science. 953, 28 p., 113783.

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

• Open access

  Sets of universal sequences for the symmetric group and analogous semigroups

  Hyde, J., Jonušas, J., Mitchell, J. D. & Péresse, Y. H., May 2020, In: Proceedings of the American Mathematical Society. 148, 5, p. 1917-1931

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

• Open access

  Automorphism groups of linearly ordered structures and endomorphisms of the ordered set (Q,≤) of rational numbers

  McPhee, J. D., Mitchell, J. D. & Quick, M., Mar 2019, In: Quarterly Journal of Mathematics. 70, 1, p. 171-194 24 p.

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

• Open access

  Computing finite semigroups

  East, J., Egri-Nagy, A., Mitchell, J. D. & Péresse, Y., May 2019, In: Journal of Symbolic Computation. 92, p. 110-155 46 p.

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

 

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