I am a US citizen thinking of marrying an international student on an f-1 visa?

It's not easy. And a F-1 visa holder she will have to return home first. Then you can begin the process of applying for permanent resident status while she's there, but there will be a period of separation. F-1 visas are explicitly not an entry route to the USA.

Yes,

she would be filing for Adjustment of Status (AoS), which is very easy. She would not become a US citizen, nor would you become a citizen of her country. She would not become a man, and you would not become a women either. Breath easily now!

No land mines. Once you got married, you'll for Adjustment of Status (AoS) with the USCIS.

The following forms are needed:

I-130 (Petition for an alien relative),

I-485 (AoS),

I-864 (Affidavit of Support),

2 x G-325a (biographic info for both of you),

I-693 (the medical),

I-765 (work permit—EAD), and

I-131 (Advance Parole—AP).

The latter two are optional but FREE when submitted concurrently with the other forms what you need to do anyway, so absolutely file it.

Also needed is a check for $1,490. Personal check is okay and preferred as it allows you to trace when it was “cashed.”

After about 10 to 12 weeks she will receive a plastic card which now is a combination of work permit (EAD) and Advance Parole (AP). At about the 3 to 5 months mark, you two will have the interview. Thereafter she will receive her “conditional,” 2-year Green Card.

Very easy ..you marry then file to adjust status

http://www.visajourney.com/content/i130guide2

cost about $1500 you need earn a minimum $20k

for the support

$1500