I am an American citizen and a researcher who's going to spend a year abroad in Austria at the Institute of Quantum Optics and Quantum Information. On this page I hope to document in painstaking detail the process of getting an Austrian Visa D, and a Residence Permit (Researcher), for others who find themselves in my position. I have acquired the Visa D at the Los Angeles General Consulate of Austria, and I plan to apply for the Residence Permit when I arrive in Vienna.
A National Visa D allows me to be in Austria for up to 180 days and in the Schengen Zone/EEA for up to 90 out of those 180 days. The most annoying part of this process is that applicants must make an appointment to appear in person at the Austrian Consulate to submit their application for the visa. I was lucky because the Consulate General of Austria nearest to me was in Los Angeles. I booked an appointment in LA online a month ahead, but spent only thirty minutes at the Consulate talking to the staff and showing them my documents, and received my passport with a shiny new visa page in the mail a week later. The Consulate staff were extremely courteous and professional, and speak fluent English. They are firm but are quite patient and understanding: if you forget to bring certain documents, they will simply request that you email the missing documents over. Stick to the bureaucracy you know: if you're applying in LA, don't fall into the trap of using the New York Consulate's slick and shiny website.
A Residence Permit allows one to live and work in an EU country for up to two years, and allows one to enter and exit the EU without restrictions. The application process is, generally speaking, more rigorous and lengthy than the application for a National Visa D: in general it can take several months to obtain a residence permit. However, certain groups of people may not only apply for the Residence Permit after their arrival in Austria, but also experience a magically expedited application process that (in my case) can be as short as two weeks between submitting the application in person and getting the Residence Permit card. Scientists, exchange students, visiting lecturers, as well as "special persons" (broadly speaking) are among these groups of people that can apply in person after arriving in Austria with this short lead time--of course a National Visa D is a prerequisite for being employed in Austria in the first place.
There are more documents needed for a Residence Permit than a National Visa D, and the application form is only available in German. If you are in one of the aforementioned groups, the OeAD is your best friend when it comes to preparing your application: their website is written well and in English. But the good part is that unlike at the Austrian Consulate, Vienna has an army of bureaucrats that keep the city running, so no appointment is needed. You simply show up at the immigration office, MA 35, which is a massive seven-story building on the outskirts of the city. If you bring the complete set of documents, they give you a piece of paper which tells you when you should come back--in person--to collect your shiny new Residence Permit!
Head over to MA35 early in the morning to minimize waiting. I arrived at 7:30 AM, half an hour before the office opens for business, and there were already fourteen people in line ahead of me! A vending machine gives you a number once you're there (top left picture).