Hello Psych Post Doc,
Thanks very much for your application to the post-doctoral position at the really cool place that you'd like to work. We are still finishing our first round of interviews this month, which should be completed by the end of May. I will certainly be in touch after that to let you know whether we can invite you for an interview. In the meantime, I do have your reference letters and CV, and I appreciate you sending along these materials.
Person Running the Search
I won't share with you what I think until I've heard your unbiased opinions. Interpret away...