I am searching for some new research areas in ECC for my masters' project. My professor suggested me to go for Image Encryption using ECC. But I am clueless as to what are the new directions possible in such an area.
I can suggest you working on isogeny-based assumptions specially within its new framework "Group Actions". Check this paper https://eprint.iacr.org/2020/1188.pdf There is a wide space for research, specially that the hardness of these assumptions are not so clear and we need more analysis. They are candidates for quantum cryptography. And Finally you may also think about realizing more cryptographic primitives from these assumptions.