I am writing the statement of purpose for a PhD application (applied math, in the US) and wondering about how to address these two questions:
- What are your expected outcomes from the program?
- What do you expect to contribute as a student and later?
The university I am applying to expects answer for these questions in the SoP.
I am confused because at this point, I do not know which professor I will work with. And more importantly, what the professor (And I) will work on during PhD. Of course, it is possible to write a general statements such as I will conduct original research and expect to gain deeper understanding of the matter being investigated, and I will acquire skills of publishing a scientific article, etc. However, I do not think these sentences add any value to SoP.
Can someone comment on how to address these questions?
I have a clear idea about the professors I will work with and the area I will work on. However, it is difficult to decide on a single professor because of many reasons. For instance, the said professor may not be able to accept any new student etc. Looking at the group's website, I can get ideas what the professor is working on, in general. But, one cannot say what projects will be worked on in future.