Dr Crofts currently teaches on the modules Advanced Calculus; Maths Methods 2 and Linear Systems.
Dr Crofts is a member of the Biomathematics and Bioinformatics research group.
Research group blog.
Areas of current research interest include complexity science, nonlinear dynamical systems and their applications:
- Complexity Science: current research interests lie in the area of complexity science. Dr Crofts is particularly interested in the structure and function of large networks, and uses a combination of computational graph theory and matrix computations in order to study them.
- Nonlinear Dynamics: Dr Crofts is interested in developing numerical methods to aid the detection of unstable periodic orbits for both discrete and continuous models. Recent work has focussed on the extension of known methods to parabolic PDEs.
- Nicole Pearcy
- Stacey Bedwell (Co-Supervisor)
Opportunities to carry out postgraduate research towards an MPhil / PhD exist in all the areas identified above. Further information may be obtained from the NTU Graduate School.
Sponsors and collaborators
University collaborations include Strathclyde, Newcastle, Leicester and Oxford.
Funding has been received from the Nuffield Foundation.
- A statistical mechanics description of environmental variability in metabolic networks. Crofts JJ and Estrada E, Journal of Mathematical Chemistry 2014, 52 (2), 675-688
- Spreading dynamics on spatially constrained complex brain networks. O'Dea R, Crofts JJ and Kaiser M, Journal of the Royal Society Interface, 2013, 10 (81)
- Googling the brain: discovering hierarchical and asymmetric network structures, with applications in neuroscience. Crofts JJ and Higham D J. Internet Mathematics (Special Issue on Biological Networks), 2011, 7 (4), 233-254
- Network analysis detects changes in the contralesional hemisphere following stroke. Crofts JJ, Higham DJ, Bosnell R, Jbabdi S, Matthews PM, Behrens TEJ and Johansen-Berg H. NeuroImage, 2011, 54 (1), 161-169
- Mapping directed networks. Crofts JJ, Estrada E, Higham DJ and Taylor A. Electronic Transactions in Numerical Analysis, 2010, 37
- On the use of stabilising transformations for detecting unstable periodic orbits in high-dimensional flows. Crofts JJ and Davidchack RL, Chaos, 2009, 19 (033138)
- A weighted communicability measure applied to complex brain networks. Crofts JJ and Higham DJ, Journal of the Royal Society Interface, 2009, 6 (33), 411-414
- Efficient detection of periodic orbits in chaotic systems by stabilising transformations. Crofts JJ and Davidchack RL, Siam, Journal of Scientific Computing, 2006, 28 (4), 1275-1288
For full list click 'Go to Jonathan Crofts publications' link above.See all of Jonathan Crofts's publications...