I'm a grad student pursuing to Master's degree. My major is Applied Mathematics. Here I call my advisor Mr. Iggy. (Not the real name)
The branch of math that Mr. Iggy researches is Algebraic Topology. As such, the undergraduate courses he opens include Algebra (I and II) and Topology (I and II). I took all such courses, yet there are always too few students that takes Topology II.
I declared early (when I was junior) that I would be a grad student under Mr. Iggy, and everyone in the department agreed. As a consequence, I was able to attend seminars opened by him early. So far, I attended two times.
In the first seminar, I made a presentation about Tychonoff's Theorem, which is outside of the scope of Topology II. In the second seminar, I made a presentation about the typeclasses of Haskell(the programming language)'s
Soon I entered the grad school and became Mr. Iggy's student. In this year's first semester, I took his grad course, Algebraic Topology I. And in the next (second) semester, I will take Computational Homotopy Theory. In the meantime (this summer vacation), he will re-open his seminars. And this is where I have a problem.
Mr. Iggy advised me (and his other students) to prepare for taking Computational Homotopy Theory and share what I've studied, so his students will learn the course "well". I was quite doubtful of this because I had many topics I wanted to research on my own, and because I thought seminars were for sharing progresses of such researches. I told him this doubt, yet he just said "Seminars are just for learning," and "You won't be able to complete such researches when you're just in Master's course."
I'm quite confused as for the first quote. And as for the second quote, I can't figure out what he's expecting me to research when the department lacks Doctor's course. Should I just follow his instructions?