Deepak,
There are a few different things you *could* do with this but some more advisable and others less so. Essentially though you are going to need to rely on some sort of "state" mechanism that doesn't include v13wstat3. Options:
1) Use Session State. I'll note here that this is very unadvisable because, in general, session state with DNN is not a good idea. The reason behind this (and maybe not a problem in your case) relates to web farms. Session state is not easily transferred between a web farm unless you use a stronger session state method such as the State Server or SQL (neither of which are enabled by default).
2) Use Query Strings. While this is a little more difficult and will require you to actually rebuild the datalist on each request instead of having it cached in some true state mechanism, this is the most portable. There is no reason why you couldn't encrypt the "state" to pass between the two controls so it couldn't be modified by the user. You would have a method to rebuild the data that takes the querystring values as parameters and then returns the datalist. Of course, if you are using straight databinding to the database instead of say, an Object datasource, this would work differently. At any rate, clicking the student name in the first page would include the current filter, paging, and sorting as querystring parameters and redirect to the details page. Any click on the "back" button to return to the master view would then include the same querystring values as parameters and return to the master page which would rebuild the view based on the querystring values.
3) Use "custom" state. You could store the last query of each user in your own specialized database table... so every time they resort or change pages it updates that table with their selection. This would allow them to leave the page altogether (even log out) and when they come back have it where they left off. On that same note, you could expand it to store their "favorite" query as well.
Option #1 is the "easiest" but probably not the most correct. Option #3 is the hardest and probably overkill anyway. Option #2 is middle of the line and probably the most correct (IMHO).
Good luck!