Numerical and computational mathematics

Hi there,
I wanna applied to the university in Canda, and i need to write a proposal to get admission. Could you please help me with it!! Write for me proposal? I need it to get accept at the university for PHD please
Please write any of these topics or anything in the same field!!
Analysis
C. Cowan works in the area of partial differential equations. E. Schippers works in complex analysis, Teichmuller theory and two-dimensional conformal field theory. Yong Zhang works in Banach algebras and Harmonic analysis. N. Zorboska works in operator theory, complex analysis and spaces of analytic functions.
Mathematical biology
J. Arino focuses mainly on mathematical epidemiology, while S. Portet's work deals with cellular structure.
Numerical and computational mathematics
S. Lui works in numerical analysis, in particular numerical PDEs and numerical linear algebra.