Entity Relationship Model for Student / Advisor application

I'm building a web application concerns a student and an adviser. The student will select his independent study and an adviser will supervise it. I am struggling to find the correct relationship for my program.

Basically the actors in my application are.

a Student can select 1 independent study.
a Student can only have 1 Adviser.
an Adviser can supervise multiple Students.
a coordinator can be an adviser also

My attempt to make ERD for my application.

Student - > Adviser (1 to many)

Coordinator - > Adviser (1 to 1)

But the problem is that I need a table that indicates that advisor A supervises student X. How should I do this?

Here's another ERD based on ypercube's comments on my other answer:

In this model, if there's an Adviser record with the Coordinator's id as it's id, that Coordinator is an Adviser.