I am interested in the structuring in complex, physical, geological and biological system and the relevance of low-dimensional geometry and topology. Physical structures include self-assembly of molecular and macromolecular amphiphiles and lipids in solution into liquid crystals, formation of inorganic materials in biological and abiotic conditions (including silica-carbonate biomorphs. Novel hyperbolic interfaces, bicontinuous and polycontinuous spatial partitions are of particular interest. I also work on characterisation and enumeration of geometric networks in various spaces, including two-dimensional hyperbolic networks and higher- dimensional euclidean networks. These include geometrically ordered crystalline networks and related disordered variants. Network characterisation of complex systems is also of interest, using techniques from graph theory and topology.
ScienceWise research articles
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