This is not a mathematics problem . May be it's not appropriate to ask this here but I don't know anywhere else to go for advice .
I have taken Pure Mathematics at the university and quite enjoying doing it . Since I was thinking about doing research work after this so I was talking with some of the professors . The ones with specialization in topics of pure said they may not appointing new scholars the next semester. So I talked with another who works in applications of algebra i.e. mostly in cryptography and combinatorial graph theory .
So , my question is , is it possible to do research work in those above after having studied only abstract and linear algebra and very little of commutative algebra $?$ I had this thought because he said those are applications of algebra and since we have to do a course-work for $1$ year in the chosen subject.
I mean I will have to learn a lot of new things any ways for research work , not like my knowledge from the degree courses will suffice at all. So , my not knowing the above two things at all this time , does that make it impossible to chose applications of algebra as research topics $?$ Not that all depends on my decision , it's his decision all that matters but should I request him at least $?$