• 120 Citations
20062020

Research output per year

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Research Output

  • 120 Citations
  • 27 Article
  • 3 Conference contribution
  • 1 Book
  • 1 Chapter (peer-reviewed)
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Article
2020

Directed topological complexity of spheres

Borat, A. & Grant, M., Mar 2020, In : Journal of applied and computational topology. 4, p. 3-9 7 p.

Research output: Contribution to journalArticle

Open Access
File
8 Downloads (Pure)

Isotopy and homeomorphism of closed surface braids

Grant, M. & Sienicka, A., 15 May 2020, In : Glasgow Mathematical Journal.

Research output: Contribution to journalArticle

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

Angel, A., Colman, H., Grant, M. & Oprea, J., 18 Feb 2020, In : Theory and Applications of Categories. 35, 7, p. 179-195 14 p.

Research output: Contribution to journalArticle

Open Access

The Topological Period-Index Conjecture for spinc 6-manifolds

Crowley, D. J. & Grant, M., 28 Feb 2020, In : Annals of K-Theory. 5, 3, p. 605-620 17 p.

Research output: Contribution to journalArticle

Open Access
File

Topological complexity of symplectic manifolds

Grant, M. & Mescher, S., Jun 2020, In : Mathematische Zeitschrift. 295, p. 667–679 13 p.

Research output: Contribution to journalArticle

Open Access
File
4 Downloads (Pure)
2019

An upper bound for topological complexity

Farber, M., Grant, M., Lupton, G. & Oprea, J., 15 Mar 2019, In : Topology and its Applications. 255, p. 109-125 17 p.

Research output: Contribution to journalArticle

Open Access
File
3 Citations (Scopus)
2 Downloads (Pure)

Bredon cohomology and robot motion planning

Farber, M., Grant, M., Lupton, G. & Oprea, J., 16 Aug 2019, In : Algebraic & Geometric Topology. 19, 4, p. 2023-2059 37 p.

Research output: Contribution to journalArticle

Open Access
File
3 Citations (Scopus)
20 Downloads (Pure)

Hopf Invariants for sectional category with applications to topological robotics

González, J., Grant, M. & Vandembroucq, L., Dec 2019, In : Quarterly Journal of Mathematics. 70, 4, p. 1209-1252 43 p.

Research output: Contribution to journalArticle

Open Access
File
1 Downloads (Pure)

Symmetrized topological complexity

Grant, M., 1 Jun 2019, In : Journal of Topology and Analysis. 11, 2, p. 387-403 17 p.

Research output: Contribution to journalArticle

Open Access
File
16 Downloads (Pure)
2017

Realizing homology classes up to cobordism

Grant, M., Szűcs, A. & Terpai, T., Oct 2017, In : Osaka Journal of Mathematics. 54, 4, p. 801-805 5 p.

Research output: Contribution to journalArticle

Open Access
File
10 Downloads (Pure)

The Poincaré-Hopf Theorem for line fields revisited

Crowley, D. & Grant, M., Jul 2017, In : Journal of Geometry and Physics. 117, p. 187-196 10 p.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
6 Downloads (Pure)
2015

A mapping theorem for topological complexity

Grant, M., Lupton, G. & Oprea, J., 19 Jun 2015, In : Algebraic & Geometric Topology. 15, 3, p. 1643-1666 24 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
6 Downloads (Pure)

Homologies are infinitely complex

Szucs, A. & Grant, M., Mar 2015, In : Topological Methods in Nonlinear Analysis. 45, 1, p. 55-62 8 p.

Research output: Contribution to journalArticle

1 Downloads (Pure)

New lower bounds for the topological complexity of aspherical spaces

Grant, M., Lupton, G. & Oprea, J., 1 Jul 2015, In : Topology and its Applications. 189, p. 78-91 14 p.

Research output: Contribution to journalArticle

Open Access
File
8 Citations (Scopus)
7 Downloads (Pure)

Sequential motion planning of non-colliding particles in Euclidean spaces

Gonzalez, J. & Grant, M., 2015, In : Proceedings of the American Mathematical Society. 143, 10, p. 4503-4512 10 p.

Research output: Contribution to journalArticle

Open Access
File
12 Citations (Scopus)
9 Downloads (Pure)
2013

Equivariant topological complexity

Colman, H. & Grant, M., 8 Jan 2013, In : Algebraic & Geometric Topology. 12, 4, p. 2299-2316 18 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

On realizing homology classes by maps of restricted complexity

Grant, M. & Szucs, A., Apr 2013, In : Bulletin of the London Mathematical Society. 45, 2, p. 329-340 12 p.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
7 Downloads (Pure)

On Self-Intersection Invariants

Grant, M., May 2013, In : Glasgow Mathematical Journal. 55, 2, p. 259-273 15 p.

Research output: Contribution to journalArticle

Spaces of topological complexity one

Grant, M., Lupton, G. & Oprea, J., 2013, In : Homology, Homotopy and Applications. 15, 2, p. 73-81 9 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Topological complexity of motion planning in projective product spaces

Gonzalez, J., Grant, M., Torres-Giese, E. & Xicotencatl, M., 8 Apr 2013, In : Algebraic & Geometric Topology. 13, 2, p. 1027-1047 21 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2012

Self-intersections of immersions and Steenrod operations

Eccles, P. J. & Grant, M., Dec 2012, In : Acta Mathematica Hungarica. 137, 4, p. 272-281 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Topological complexity, fibrations and symmetry

Grant, M., 1 Jan 2012, In : Topology and its Applications. 159, 1, p. 88-97 10 p.

Research output: Contribution to journalArticle

Open Access
13 Citations (Scopus)
2009

Topological Complexity of Configuration Spaces

Farber, M. & Grant, M., May 2009, In : Proceedings of the American Mathematical Society. 137, 5, p. 1841-1847 8 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Topological complexity of motion planning and Massey products

Grant, M., 2009, In : Banach Center Publications. 85, p. 193-203 11 p.

Research output: Contribution to journalArticle

File
3 Downloads (Pure)
2008

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

Farber, M. & Grant, M., 2008, In : Proceedings of the American Mathematical Society. 136, 9, p. 3339-3349 11 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)
2007

Bordism groups of immersions and classes represented by self-intersections

Eccles, P. J. & Grant, M., 2007, In : Algebraic & Geometric Topology. 7, p. 1081-1097 17 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2006

Bordism Classes Represented by Multiple Point Manifolds of Immersed Manifolds

Eccles, P. J. & Grant, M., Jan 2006, In : Proceedings of the Steklov Institute of Mathematics. 252, 1, p. 47-52 6 p.

Research output: Contribution to journalArticle