Evolution equations can be interpreted as differential laws describing the development of a system. Beginning with the study of differential equations investigators now look at these in a more abstract setting. Dr. Imran Naeem studies exact solutions of evolution equations using Lie Symmetry methods. Lie symmetry analysis...
Labs
C* Algebras were first studied in connection with modeling observables in quantum mechanics. They have subsequently generated a lot of interest as an area of research. Fixed point theory is the investigation of existence, uniqueness and approximation of fixed points of mappings. From economics (Nash’s theorem) to physics (phase...
Using ideas from algebra, how can one classify topological spaces? This is the fundamental question which investigators in Algebraic Topology try to address. Dr. Haniya is interested in the cohomology of n-pointed configuration spaces of complex projective varieties and rational models for the cohomology of s...
This group focuses on the design and synthesis of functional bulk and surface tethered polymers, complex macromolecular architecture, stimuli responsive macro and nanoscale (smart) materials, surface functionalization of nanoparticles, nanoporous materials, and nanocomposites for applications in alternative energy technologies (solar/...
This group focuses on synthesis and characterization of functional transition metal oxides with interesting properties and applications. Typically, we investigate perovskite oxides (ABO3) for their potential applications in spintronics, thermoelectric devices, solid oxide fuel cells (SOFC) and photocatalysis for environmental remediat...
This group focuses on the development of next generation drugs and molecules with potential biological applications. The group is especially interested in exploring the chemical space for cancer treatment, in the molecules that can modulate the activity of viruses of the Flaviviridae family, especially HCV and the dengue fever virus a...
This group focuses on the synthesis of low loss optical materials that can be used in micro photolithography for a wide range of applications such as in backplanes, photonics, microfluidics, data communications and telecommunications. In addition, processes are being developed to produce high refractive index materials (hybrids and na...
This group focuses on the synthesis of metal/metal oxide nanoparticles/nanoclusters with a fair control over their size, shape and surface chemistry, their use as building blocks to develop new nanostructured materials with controlled nanoscale features and unique properties. These nanomaterials are also being evaluated to explore the...
This group is interested in the development of novel green synthetic methodologies, utilizing transition metal catalysis, for the functionalization of aromatic hydrocarbons. Our newly developed catalytic reactions provide rapid access to previously inaccessible materials which can have potential applications in wide range of areas inc...