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

1.		Prof. Dr. Adem Kilicman  Tel: +603.9769.6813 Email: akilic@upm.edu.my Link: Scopus | Google Scholar | ResearchGate
2.		Assoc. Prof. Dr. Ibragimov Gafurjan  Tel: +603.9769.6818 Email: gafur@upm.edu.my  Link: Scopus | Google Scholar | ResearchGate
3.		Assoc. Prof. Dr. Siti Hasana Sapar Tel: +603.9769.8456 Email: sitihas@upm.edu.my Link: Scopus | Google Scholar | ResearchGate
4.		Assoc. Prof. Dr. Sharifah Kartini Said Husain Tel: +603.9769.6857 Email: skartini@upm.edu.my Link: Scopus | Google Scholar | ResearchGate
5.		Dr. Athirah Nawawi  Tel: +603 89466844 Email: athirah@upm.edu.my Link: Scopus | Google Scholar | ResearchGate

Updated:: 12/08/2020 [noorizzati]