Modeling of complex biological phenomena has become fashionable over the past two decades, as the computing power required to analyze such models has become available. On the other side, non-local calculus has gained significance owing to its applications in various biological and physical phenomena. The theory of non-local calculus h...
Labs
Algebraic Geometry is the study solutions of multivariate polynomial equations. The solutions of these polynomial equations which are the geometric objects of study in Algebraic Geometry are called algebraic varieties. Dr. Qureshi is interested in classification of families of algebraic varieties. In particular he is interested the cl...
Real world problems can be formulated in mathematical terms (modeling), as the models have grown complex, a great deal of computing power is required to study these models. Scientific computation involves investigation of robust and efficient methods for studying problems that require heavy computations. Dr. Sial’s has been work...
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...
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...