How to convince professor that I have read topics on my own? I am keen to apply for Doctoral program in Europe. But I have some questions.
All my mathematical interests are centred about Hyperbolic Geometry. And I am keen to apply for PhD position (or join a research group) in the particular field. I have never done the course in my masters, because my university does not offer such course. Also, My master thesis is not in that field (in not hyperbolic geometry). Also, I can not join a internship program or summer school, and reading project on the field under some professors, because this current (Covid 19) situations. Therefore, I am planning to read the topics on my own.
To apply for a PhD program I need to write my interests to that particular professor. Since I am learning the topics on my own, and I have no document for that, then how I would convince him/her that I have read the topics and well prepared to work his/her research group.
Please help me. Thanking in advance.
It's fairly easy for people to identify other people in the field. You need to demonstrate you know the topic during the conversation.
The easiest way is to read the professor's papers and offer intelligent comments when you first write to them: what is interesting about the paper and why, what you want to work on, etc.