Is it appropriate to contact professors after application submission? I have applied to PhD programs in engineering in the US. I have been early in applying to most programs (deadlines range from mid-December to mid-January). I have not contacted any professors prior to applying, as I have been told by many that it would largely be a waste of time. Instead I reached out to several grad students and read/skimmed through many recent published papers by faculty. In my statement of purpose, I talked about at least two professors that I thought had interesting topics for research and why they interested me. I tailored this part of the statement for each program.

My question is, is it appropriate to contact faculty post application submission? I would like to say hello, let them know that I have applied and that I would be interested in working with them if I am fortunate enough to get in, and ask them to keep me in mind if they are looking for students.

I thought it might be a good idea to just put myself out there. Who knows? Maybe they'll recognize my name once they start going through applications and give it another good look. But I also do not want to annoy them. I recognize that these professors are busy and that they get many of these emails every day. I want to be considerate of their time too. I also do not want to come across as being arrogant or silly or needy..

What is your expert advice? Would you recommend that I sit tight? With my application already out of my hands, I understand that there is nothing I can do now to improve my chances. But I am always hoping. Thanks in advance for your advice!
After reading some of the other reponses to your questions, I feel I need to give you fair warning that we receive tons of these emails, many of them obviously scripted (e.g., my name is in different font, the area described is irrelevant to me, for female faculty the email starts with "Dear Sir," etc.) My default reaction is to delete. Mind you, this is not to say your email would be like this, I'm just letting you know what you're up against.

The only emails that I try to pay attention to are of two types:

1) There's something obviously strong about you by just quickly scanning your email: You are an undergraduate student from a top school, or your grades are super-strong, or you've done some interesting research, or it's obvious that you've read some paper of mine and have legitimate comments about it.

2) Your subject line reads: "Undeterred prospective student." This is actually at the bottom of my info page for prospective students, which is linked to prominently on my home page. The vast majority of email requests I receive is from students that didn't bother to read it, so when I get an email with that subject I make a point of looking at it.

This is irrespective of when I receive your email; in fact, one could argue that the closer to the review period, the better.