Dr Mark Grant
MA (Edin), PhD (Manc)
Reader
- About
-
- 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 University of Aberdeen 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
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Research Overview
Dr Grant is interested in Algebraic and Differential Topology and their applications, particularly to Robotics.
- Teaching
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- Publications
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Page 3 of 5 Results 21 to 30 of 41
Topological complexity of subgroups of Artin's braid groups
Topological complexity and related topics. Grant, M., Lupton, G., Vandembroucq, L. (eds.). American Mathematical SocietyChapters in Books, Reports and Conference Proceedings: Chapters (Peer-Reviewed)- [ONLINE] http://arxiv.org/abs/1607.04830
- [ONLINE] DOI: https://doi.org/10.1090/conm/702/14105
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/10481/1/1607.04830.pdf
Realizing homology classes up to cobordism
Osaka Journal of Mathematics, vol. 54, no. 4, pp. 801-805Contributions to Journals: ArticlesThe Poincaré-Hopf Theorem for line fields revisited
Journal of Geometry and Physics, vol. 117, pp. 187-196Contributions to Journals: Articles- [ONLINE] https://arxiv.org/abs/1612.04073
- [ONLINE] DOI: https://doi.org/10.1016/j.geomphys.2017.03.011
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/10265/1/1612.04073.pdf
New lower bounds for the topological complexity of aspherical spaces
Topology and its Applications, vol. 189, pp. 78-91Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.topol.2015.04.005
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/6192/1/1309.4192v1
A mapping theorem for topological complexity
Algebraic & Geometric Topology, vol. 15, no. 3, pp. 1643-1666Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.2140/agt.2015.15.1643
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/4668/1/agt_v15_n3_p10_p.pdf
Homologies are infinitely complex
Topological Methods in Nonlinear Analysis, vol. 45, no. 1, pp. 55-62Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.12775/TMNA.2015.003
Sequential motion planning of non-colliding particles in Euclidean spaces
Proceedings of the American Mathematical Society, vol. 143, no. 10, pp. 4503-4512Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1090/proc/12443
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/4739/1/1309.4346v2
On Self-Intersection Invariants
Glasgow Mathematical Journal, vol. 55, no. 2, pp. 259-273Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1017/S0017089512000481
Topological complexity of motion planning in projective product spaces
Algebraic & Geometric Topology, vol. 13, no. 2, pp. 1027-1047Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.2140/agt.2013.13.1027
On realizing homology classes by maps of restricted complexity
Bulletin of the London Mathematical Society, vol. 45, no. 2, pp. 329-340Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/blms/bds090
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/4145/1/1111.0249.pdf