Professor of Nonlinear and Complex Systems
Tutor in Applied Mathematics, Somerville College
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Comparing community structure to characteristics in online collegiate social networks
SIAM Review issue 3 volume 53 page 526-543 (1 December 2011)
A mathematical model for the dynamics and synchronization of cows
Physica D: Nonlinear Phenomena issue 19 volume 240 page 1497-1509 (15 September 2011)
Dynamic reconfiguration of human brain networks during learning.
Proc Natl Acad Sci U S A issue 18 volume 108 page 7641-7646 (3 May 2011) Full text available
Discrete breathers in one-dimensional diatomic granular crystals.
Phys Rev Lett issue 24 volume 104 page 244302- (18 June 2010) Full text available
Community structure in time-dependent, multiscale, and multiplex networks
Science issue 5980 volume 328 page 876-878 (14 May 2010)
Topological data analysis of task-based fMRI data from experiments on schizophrenia
arXiv (22 September 2018)
Detection of core-periphery structure in networks using spectral methods and geodesic paths
European Journal of Applied Mathematics issue 6 volume 27 page 846-887 (3 August 2016)
Scattering of waves by impurities in precompressed granular chains
Physical Review E issue 5 volume 93 page 052224- (25 May 2016)
Lost in transportation: Information measures and cognitive limits in multilayer navigation.
Science Advances issue 2 volume 2 page e1500445- (19 February 2016)
My research interests lie in statistical and nonlinear physics and in the application of such techniques to the physical, engineering, social, and biological sciences. Topics on which I have written research papers include nonlinear waves (such as solitary waves), nonlinear oscillators, classical and quantum chaos, network science (including applications to social and biological networks), billiard systems, granular materials, and nonlinear optics. I am interested in many other applications as well.
I am also interested in mathematics exposition and have made a point to write several articles for venues such as Notices of the American Mathematical Society and American Scientist.
In addition to my MI affiliations, I am also a member of the Complex Agent-Based Dynamical Networks (CABDyN) Complexity Centre [yes, the word 'complex' does appear twice in the name].
In 2014–2015, I am teaching Networks (C5.4).
Prizes, awards, and scholarships:
See my CV for these items.