The 3rd IMA Conference on the Mathematics of Robotics aims to bring together researchers working on all areas of robotics which have a significant mathematical content. The idea is to highlight the mathematical depth and sophistication of techniques applicable to Robotics and to foster cooperation between researchers working in different areas of Robotics. This Conference has been organised in cooperation with the Society for Industrial and Applied Mathematics (SIAM). Areas of interest include but are not limited to: Topology. Kinematics. Algebraic topology of configuration spaces of robot mechanisms. Topological aspects of path planning and sensor networks. Differential topology and singularity theory of robot mechanism and moduli spaces. • Algebraic Geometry. Varieties generated by linkages and constraints. Geometry of stiffness and inertia matrices. Rigid-body motions. Computational approaches to algebraic geometry. • Dynamical Systems and Control. Dynamics of robots and mechanisms. Simulation of multi-body systems, e.g. swarm robots. Geometric control of robots. Optimal control, soft robotics and other optimisation problems. • Combinatorial and Stochastic Methods. Rigidity of structures. Path planning algorithms. Modular robots. • Statistics. Stochastic control. Localisation. Navigation with uncertainty. Statistical learning theory. • Cognitive Robotics. Mathematical aspects of Artificial Intelligence, Developmental Robotics and other Neuroscience based approaches.