# Dr. Muhammad Ahsan Binyamin

**Dr. Muhammad Ahsan Binyamin**

Associate Professor

Government College University Faisalabad, Faisalabad - PAKISTAN.

Google Scholar: https://scholar.google.com.pk/citations?user=PJQDQy0AAAAJ&hl=en

ResearchGate Profile: https://www.researchgate.net/profile/Muhammad_Banyamin

### Compute Codimension and Milnor number

A file named “ProcedureKsimPle.txt” containing the code can be downloaded from a link given below.

### Classify Map Germs 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.

### Corank 1 Map Germs From the Plane to the Space

**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.

### Proc-Classify Plane Maps

**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

### Classify Map Germs

**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.