Group Theory is one of the areas in mathematics. Any set of elements which is equipped with an operation that is associative, has an identity element, and has an inverse element for each element of the set, is called a group. Besides focusing in the theories of some branches of algebra and in analytic function theory, the research in Group Theory also focuses on the application in quantum mechanics, crystallography, and in spectroscopy. Recently, this group has been focusing on nonabelian tensor product, nonabelian tensor squares, homological functor and capability of groups, structures and characteristics of molecules using the symmetry or crystallography and lie group analysis.

Every living organism has DNA that makes the organism unique. Since a DNA strand can be viewed as a string over a four letter alphabet (a, c, g, and t) which is the four deoxyribonucleotides, thus the modelling can be done within the framework of formal language theory, which is a branch of applied discrete mathematics and theoretical computer science.    There are more than 200 types of readily available restriction enzymes as listed in the New England Biolabs catalogue.  These restriction enzymes can cut strings of DNA molecules at specific places, resulting in molecules with sticky ends.  New molecules then arise when molecules previously cut by restriction enzymes are pasted together by a ligase.  In this research, different enzymes are chosen and the process of cutting and pasting is modelled within the framework of formal language theory.

Applied and computational complex analysis is the study of computational aspects and applications of complex analysis to solve problems related to science and engineering. The goals are to present complex analysis as a tool for modeling phenomenon of the physical world, and as a source of algorithms for the efficient use of these models.

For more information, kindly contact us:
Assoc. Prof. Dr. Nor Muhainiah Mohd Ali
Research Group Leader