School of Mathematics & Statistics,
Newcastle upon Tyne NE1 7RU,
Tel: +44 (0)191 208 5370
Fax: +44 (0)191 208 8020
I am a lecturer in the School of Mathematics & Statistics at Newcastle University, with interests in algebraic and differential topology and their applications. You can find out more about my research interests by browsing my publications below. Here is a link to my Google Scholar profile.
I am also a keen participant at MathOverflow, and have an Erdős number of 3.
My CV as of January 2014.
CEG2705 Survey Mathematics (Autumn 2013)
MAS3091 Group Project Module (Autumn 2013)
MAS2224/3224 The Foundations of Calculus (Spring 2014)
All teaching materials will be made available via Blackboard.
New lower bounds for the topological complexity of aspherical spaces (with Gregory Lupton and John Oprea), submitted.
Sequential motion planning of non-colliding particles in Euclidean spaces (with Jesús González), accepted in Proc. Amer. Math. Soc.
On realizing homology classes by maps of restricted complexity (with András Szűcs), Bull. London Math. Soc. 45 (2013), 329—340.
Topological complexity of motion planning in projective product spaces (with Jesús González, Enrique Torres-Giese and Miguel Xicoténcatl), Algebr. Geom. Topol. 13 (2013), 1027—1047.
On self-intersection invariants, Glasgow Math. J. 55 (2013), 259—273.
Self-intersections of Immersions and Steenrod Operations (with Peter J. Eccles), Acta Math. Hungar. 137 (2012), 272—281.
Topological complexity, fibrations and symmetry, Topology Appl. 159 (2012), 88—97.
Topological complexity of motion planning and Massey products, In “Algebraic Topology – Old and New: M. M. Postnikov Memorial Conference”, M Golasiński et al (eds), Banach Center Publ. 85 (2009), 193—203.
Robot motion planning, weights of cohomology classes, and cohomology operations (with Michael Farber), Proc. Amer. Math. Soc. 136 (2008), 3339—3349.
Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles (with Michael Farber and Sergey Yuzvinsky), In “Topology and Robotics”, M Farber, R Ghrist, M Burger and D Koditschek (eds), Contemp. Math. 438 (2007), 75—83.
Bordism Groups of Immersions and Classes Represented by Self-intersections (with Peter J. Eccles), Algebr. Geom. Topol. 7 (2007), 1081—1097.
Bordism classes represented by multiple point manifolds of immersed manifolds (with Peter J. Eccles), Proc. Steklov Inst. Math. 252 (2006), 47—52.
Bordism of Immersions, Thesis, University of Manchester, 2006.
“Lower bounds for the topological complexity of groups” - Delivered at the University of Leicester Pure Mathematics seminar (23/11/13)
“On immersions in homology classes” - Delivered at the British Topology Meeting, Edinburgh (3/9/11)
“Topological complexity of motion planning algorithms” - Survey talk at the School of Informatics, University of Edinburgh (31/3/11)
“Self-intersections of immersions and Steenrod operations” - Delivered at the Edinburgh Topology seminar (23/11/07)
“Turning spheres inside-out” - Public talk for alumni of Durham University at the 175th anniversary celebrations (8/9/07)
“Sectional category weight and topological complexity” - Delivered at the BMC2007, Swansea (17/4/07) and at the M. M. Postnikov Memorial Conference, Bedlewo, Poland (21/6/07)
MathSciNet Search (subscription required)
MathOverflow (a question and answer site for research level Mathematics)
arXiv.org: Mathematical e-prints