I've been living and working in the US for 1 1/2 years, on an H1-B visa. My employer is a State University (I teach and do research). The visa expires in late June this year.
While in the US, I fell in love with a US citizen and we are possibly going to get married.
My question is the following: if we got married soon (say, before my visa expires), could I stay in the US and keep working here (for the university or another employer)?