GSOC 2017 Reimplement the JDK in Scala-Native

Hello, everyone!
I’m studying the forth year bachelor’s degree in Computer Science and i want to participate in GSOC 2017.
I’m really interested in “Reimplement the JDK in Scala-Native”. I have experience in Java and Scala (some experience in Scala Native), also familiar with java.util.* (especially Java collections framework) and*.
Please, tell me, what proposals i can make in this task. Thank you!