I check out your information on the school site, on the part of your research interest in the field. This semester, I applied for a research project, hope to be your student, and work with you.
I reviewed your information on the school website, on the part of your area of research interest. This semester, I applied for a research project, hope to become your student, work together with you.
I looked up your information on the school website, interested in some areas of your research. This semester, I applied for a research project, I hope you can become a student, to work with you.