Suppose that f is a homogeneous polynomial with complex coefficients. Let M(f) denotes the corresponding Milnor algebra, and V(f) the hypersurface defined by the equation f=0 in the complex projective space. The algebra M(f) is a graded C-algebra, where C is the set of complex numbers. The aim of this Thesis is to determine the Poincar'e series of the Milnor algebra M(f) in terms of the geometry of the hypersurface V(f). The result is classically known for the case when V(f) is smooth. The goal of this research is to discuss the case when V(f) has only isolated singularities.

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He did his PhD from Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan. He has been teaching at the faculty of Mathematics, GC University Lahore, since 2009.