I am a master's student in mathematics and I'm applying for a math PhD position in US or Europe.
During my time as a Master student, I worked on a paper with several co-authors, but the majority of the contributions were made almost entirely by me.
Is it proper to write something like "In the research for this paper, I independently completed almost all of the proof for the main result." in my CV and personal statement?
I'm afraid that this might make me seem lacking in humility, or that the professor might mistakenly think I’m not good at collaboration because I completed almost all of the work independently.
(My fear is not unfounded. In our country, the culture places great emphasis on personal humility and collectivism. I’m not sure if the academic culture in Europe or the United States holds the same view.)