This field encompasses three subfields, which are the Analytical Method in Number Theory, the Structural Theory of Algebra and Functional Analysis and Topology. Among the research topics under the analytical Method in Number Theory are determining an estimation of the exponential sums for multi-variable polynomials, estimation of the multiple exponential sums for two-variable polynomials of higher degree, finding the p-adic sizes of factorial functions and the diophantine equation problems. The main foci of research under the Structural Theory of Algebra are finding the isomorphism classes and invariants of Leibniz algebras, classifiying the problems of Diassociative and Dendriform algebras and studying the properties of Armendariz and Gamma-rings and their generalizations. Functional Analysis and Topology study the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, LF-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few.


ENTRY REQUIREMENT
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LIST OF EXPERTS

Institute for Mathematical Research/ Faculty of Science
Prof. Dr. Adem Kilicman
Prof. Dr. Muhammad Rezal Kamel Ariffin
Assoc. Prof. Dr. Siti Hasana Sapar
Assoc. Prof. Dr. Sharifah Kartini Said Husain

Institute for Mathematical Research/ Centre of Foundation Studies for Agricultural Science
Dr. Muhammad Asyraf Asbullah

Faculty of Science
Assoc. Prof. Dr. Idham Arif Alias
Dr. Athirah Nawawi
Dr. Chen Chuei Yee
Dr. Faridah Yunos
Dr. Mohd Aidil Mohamat Johari
Dr. Witriany Basri

Updated:: 18/10/2022 [aslamiah]