Analytical and Structural Mathematics

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.

List of Supervisors

		Dr. Muhammad Asyraf Bin Asbullah BSc. (Hons) (UTM, Malaysia) MSc. (UPM, Malaysia) Ph.D (UPM, Malaysia) Email : ma_asyraf@upm.edu.my Tel:
		Prof. Dr. Muhammad Rezal Bin Kamel Ariffin BSc. (Hons) (UPM, Malaysia) MSc. (UPM, Malaysia) Ph.D. (UKM, Malaysia) Email : rezal@upm.edu.my Tel: +603-97696838
		Prof. Madya Dr. Sharifah Kartini Binti Said Husain BSc. (Hons) (UPM, Malaysia) MSc. (UPM, Malaysia) Ph.D (UPM, Malaysia) Email : kartini@upm.edu.my Tel: +603-97696857
		Prof. Madya Dr. Siti Hasana Bt Sapar BSc. (Hons) (UPM, Malaysia) MSc. (UPM, Malaysia) Ph.D. (UPM, Malaysia) Email : sitihas@upm.edu.my Tel: +603-97696811

Updated:: 11/03/2025 [norhidayahche]