Create a throwaway special purpose e-mail account on the Web, with a username/password pair different from whatever you use elsewhere. (THIS IS IMPORTANT to minimize damage in case of security breach).
Step 2 gives you another e-mail address @emails2rss.appspot.com.
In your special purpose account, set up forwarding rule to the address obtained in Step 3.
Get the address of the RSS feed in the Emails2RSS application.
Enjoy!
Caveats:
I lack personal, hands-on experience with Emails2RSS. (I prefer pure RSS for the time being, but may experiment with e-mail stuff later).
E-mail notifications shouldn't exceed 750 kB.
The RSS feed has no security built in. You have to make sure the link isn't available to others (if you use the resulting RSS feeds on your web site and the addresses are stored in the source, it may be advisable to use Yahoo Pipes! or IFTTT as another layer of indirection, caching and DoS protection).
You can't do that within Google Scholars. You need an external software to do this. Internet Download Manager has a grabber that can grab specific file formats from a webpage. Download and install, IDM, click grabber and set it up to download all the pdf files of that page.
Best Answer
Click the "Edit" link next to "My profile is public". Select the "My profile is private" option.