51cg

People

Dr Mark Grant

Dr Mark Grant
Dr Mark Grant
Dr Mark Grant

MA (Edin), PhD (Manc)

Reader

51cg
Email Address
mark.grant@abdn.ac.uk
Telephone Number
+44 (0)1224 273391
Office Address

Fraser Noble Building FN137

School/Department
School of Natural and Computing Sciences


Biography

Dr Grant joined the 51cg as a Lecturer in 2014, having previously been a Research Associate at Durham University and a Lecturer at the Universities of Edinburgh, Nottingham and Newcastle-upon-Tyne. He was promoted to Senior Lecturer in 2018 and Reader in 2023.

Research

Research Overview

Dr Grant is interested in Algebraic and Differential Topology and their applications, particularly to Robotics.

Teaching

Courses

Publications

Page 1 of 1 Results 1 to 43 of 43

  • Comparison of equivariant cohomological dimensions

    Grant, M., Li, K., Meir, E., Patchkoria, I.
    Israel Journal of Mathematics
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Immersed but not embedded homology classes

    Crowley, D., Grant, M.
    Working Papers: Preprint Papers
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Projective span of Wall manifolds

    Grant, M., Schutte, B. P.
    Boletin Sociedad Matematica Mexicana, vol. 30, no. 3, 75
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Equivariant topological complexities

    Grant, M.
    Topology and AI. European Mathematical Society Publishing House, pp. 161–186, 26 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters (Peer-Reviewed)
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Projective Span of Wall Manifolds

    Grant, M., Schutte, B.
    Boletin Sociedad Matematica Mexicana, vol. 30, 75
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Equivariant topological complexities

    Grant, M.
    Working Papers: Preprint Papers
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Comparison of equivariant cohomological dimensions

    Grant, M., Li, K., Meir, E., Patchkoria, I.
    Working Papers: Preprint Papers
    • [ONLINE] DOI:
    • [ONLINE]

  • Equivariant dimensions of groups with operators

    Grant, M., Meir, E., Patchkoria, I.
    Groups, Geometry and Dynamics, vol. 16, no. 3
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [OPEN ACCESS]

  • Parametrised topological complexity of group epimorphisms

    Grant, M.
    Topological Methods in Nonlinear Analysis, vol. 60, no. 1, pp. 287-303
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [OPEN ACCESS]

  • Isotopy and homeomorphism of closed surface braids

    Grant, M., Sienicka, A.
    Glasgow Mathematical Journal, vol. 63, no. 2, pp. 297-306
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]

  • Topological complexity of symplectic manifolds

    Grant, M., Mescher, S.
    Mathematische Zeitschrift, vol. 295, pp. 667–679
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [OPEN ACCESS]
    • [ONLINE]
    • [ONLINE]

  • Equivariant dimensions of groups with operators

    Grant, M., Meir, E., Patchkoria, I.
    Working Papers: Working Papers
    • [ONLINE]
    • [OPEN ACCESS]

  • Directed topological complexity of spheres

    Borat, A., Grant, M.
    Journal of applied and computational topology, vol. 4, pp. 3-9
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [OPEN ACCESS]
    • [ONLINE]
    • [ONLINE]

  • The Topological Period-Index Conjecture for spinc 6-manifolds

    Crowley, D. J., Grant, M.
    Annals of K-Theory, vol. 5, no. 3, pp. 605-620
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity

    Angel, A., Colman, H., Grant, M., Oprea, J.
    Theory and Applications of Categories, vol. 35, no. 7, pp. 179-195
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE]

  • Hopf Invariants for sectional category with applications to topological robotics

    González, J., Grant, M., Vandembroucq, L.
    Quarterly Journal of Mathematics, vol. 70, no. 4, pp. 1209-1252
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]

  • Bredon cohomology and robot motion planning

    Farber, M., Grant, M., Lupton, G., Oprea, J.
    Algebraic & Geometric Topology, vol. 19, no. 4, pp. 2023-2059
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]
    • [ONLINE]

  • Symmetrized topological complexity

    Grant, M.
    Journal of Topology and Analysis, vol. 11, no. 2, pp. 387-403
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]
    • [ONLINE]

  • An upper bound for topological complexity

    Farber, M., Grant, M., Lupton, G., Oprea, J.
    Topology and its Applications, vol. 255, pp. 109-125
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]
    • [ONLINE]

  • Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes

    González, J., Grant, M., Vandembroucq, L.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Preface: Contemporary Mathematics

    Grant, M., Lupton, G., Vandembroucq, L.
    Contemporary Mathematics, vol. 702, pp. v-vii
    Contributions to Journals: Editorials
    • [ONLINE] DOI:
    • [ONLINE]

  • Topological Complexity and Related Topics: Mini-Workshop Topological Complexity and Related Topics February 28–March 5, 2016 Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany

    Grant, M. (ed.), Lupton, G. (ed.), Vandembroucq, L. (ed.)
    Vol. 702, American Mathematical Society. 176 pages
    Books and Reports: Books

  • Topological complexity of subgroups of Artin's braid groups

    Grant, M., Recio-Mitter, D.
    Topological complexity and related topics. Grant, M., Lupton, G., Vandembroucq, L. (eds.). American Mathematical Society
    Chapters in Books, Reports and Conference Proceedings: Chapters (Peer-Reviewed)
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Realizing homology classes up to cobordism

    Grant, M., Szűcs, A., Terpai, T.
    Osaka Journal of Mathematics, vol. 54, no. 4, pp. 801-805
    Contributions to Journals: Articles
    • [ONLINE]
    • [OPEN ACCESS]

  • The Poincaré-Hopf Theorem for line fields revisited

    Crowley, D., Grant, M.
    Journal of Geometry and Physics, vol. 117, pp. 187-196
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • New lower bounds for the topological complexity of aspherical spaces

    Grant, M., Lupton, G., Oprea, J.
    Topology and its Applications, vol. 189, pp. 78-91
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • A mapping theorem for topological complexity

    Grant, M., Lupton, G., Oprea, J.
    Algebraic & Geometric Topology, vol. 15, no. 3, pp. 1643-1666
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Homologies are infinitely complex

    Szucs, A., Grant, M.
    Topological Methods in Nonlinear Analysis, vol. 45, no. 1, pp. 55-62
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Sequential motion planning of non-colliding particles in Euclidean spaces

    Gonzalez, J., Grant, M.
    Proceedings of the American Mathematical Society, vol. 143, no. 10, pp. 4503-4512
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • On Self-Intersection Invariants

    Grant, M.
    Glasgow Mathematical Journal, vol. 55, no. 2, pp. 259-273
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Topological complexity of motion planning in projective product spaces

    Gonzalez, J., Grant, M., Torres-Giese, E., Xicotencatl, M.
    Algebraic & Geometric Topology, vol. 13, no. 2, pp. 1027-1047
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • On realizing homology classes by maps of restricted complexity

    Grant, M., Szucs, A.
    Bulletin of the London Mathematical Society, vol. 45, no. 2, pp. 329-340
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Equivariant topological complexity

    Colman, H., Grant, M.
    Algebraic & Geometric Topology, vol. 12, no. 4, pp. 2299-2316
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Spaces of topological complexity one

    Grant, M., Lupton, G., Oprea, J.
    Homology, Homotopy and Applications, vol. 15, no. 2, pp. 73-81
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Self-intersections of immersions and Steenrod operations

    Eccles, P. J., Grant, M.
    Acta Mathematica Hungarica, vol. 137, no. 4, pp. 272-281
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Topological complexity, fibrations and symmetry

    Grant, M.
    Topology and its Applications, vol. 159, no. 1, pp. 88-97
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Topological Complexity of Configuration Spaces

    Farber, M., Grant, M.
    Proceedings of the American Mathematical Society, vol. 137, no. 5, pp. 1841-1847
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Topological complexity of motion planning and Massey products

    Grant, M.
    Banach Center Publications, vol. 85, pp. 193-203
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Robot motion planning, weights of cohomology classes, and cohomology operations

    Farber, M., Grant, M.
    Proceedings of the American Mathematical Society, vol. 136, no. 9, pp. 3339-3349
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Bordism groups of immersions and classes represented by self-intersections

    Eccles, P. J., Grant, M.
    Algebraic & Geometric Topology, vol. 7, pp. 1081-1097
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Symmetric Motion Planning

    Farber, M., Grant, M.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles

    Farber, M., Grant, M., Yuzvinsky, S.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Bordism Classes Represented by Multiple Point Manifolds of Immersed Manifolds

    Eccles, P. J., Grant, M.
    Proceedings of the Steklov Institute of Mathematics, vol. 252, no. 1, pp. 47-52
    Contributions to Journals: Articles
    • [ONLINE] DOI:

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