Google Scholar: https://scholar.google.com.pk/citations?user=PJQDQy0AAAAJ&hl=en
ResearchGate Profile: https://www.researchgate.net/profile/Muhammad_Banyamin
A file named “ProcedureKsimPle.txt” containing the code can be downloaded from a link given below.
OVERVIEW: A library for computing the standard basis of the tangent space at the orbit of an algebraic group action. The tangent space is usually described as the sum of two modules over different rings. It computes the standard basis using modular methods and parallel modular methods. It also computes the normal form of the germ given by Riegers classification.
LIBRARY: Recognition of Corank 1 Map Germs from the plane to space by invariants
OVERVIEW: A library for characterization of the classification of corank 1 map germs interms of certain invariants. These germs were classified by Mond with respect to right left equivalence.
USAGE: classifyPlaneMaps1(I); I=an ideal with 2 generators in a polynomial ring with 2 variables and local ordering defining a map germ C^2 to C^2
OVERVIEW: A library for computing the standard basis of the tangent space at the orbit of an algebraic group action. The tangent space is usually described as the sum of two modules over different rings. It computes the standard basis using modular methods and parallel modular methods. It also computes the normal form of the germ given by Riegers classification.