I have done my master's from an institute in Asia in 2021 and I planned to write for PhD in Pure Math in 2022 in France. One prof suggested me to also apply to 1 year Research Masters(M2) in France called Fondamentales Mathematique.
I have to supply a cover letter for scholarship applications and I am confused on how to write them.
Dear Sir/madam, I am applying to M2 Research in Mathematics program of University of X because this program is very well suited to my aim of doing PhD research in [Branch Y of Math] after completing master’s studies. M2 program will allow me to gain more specialized knowledge in [Branch Y of Math] and other branches of Pure Mathematics. Although, I have completed my Masters in Mathematics in 2021 from institute Z but ... . France has a lot of researchers working in number theory and so it will also help me in getting in contact with them and discussing PhD research opportunities. 2 paragraphs describing my interests and motivation in [Branch Y of Math].
2 paragraphs describing work done by me in my Master's thesis in institute Z in 2nd year of my master's.
last 1 para.
The length of the letter of motivation is 2 pages and 70 % of a page is taken by explaining the work I did in my master's thesis because I did very detailed study of 5 papers and I can't squeeze an explanation of that in less than 70% of a page.
Is it a good way of writing a motivation letter?