via Public Transport
Metro:

U2, U4 (Stop "Schottenring")

U4 (Stop "Roßauer Lände")

Tram:

D (Stop "Schlickgasse")

1, 31 (Stop "Schottenring")

Links:
Vienna's Public Transport Provider
Ticket Information
qando - Vienna Public Transport App

 From/To the airport
Taxi

Regular fee will be around 40,-€
Booking the transfer in advance considerably reduces the price (25,-€-30,-€)
Address:
Oskar-Morgenstern-Platz 1, 1090 Vienna

City Airport Train

16min non-stop Train between Airport and Wien Mitte (Landstraße)
Regular fee: 12,-€ (Pricelist for other options and Combination tickets; Website)

To reach the Faculty from Landstraße you can take the U4 Metro

 Public transport from/To the airport
Bus

Closest stop to the Faculty:
with Vienna Airport Lines (8,-€) "Schwedenplatz/Morzinplatz"
For other destinations:
Vienna Airport Information Page

Rail

Closest stop to the Faculty:
with S-Bahn (4,2,-€) "Wien Praterstern"
then you can change to Metro U2
Stop "Wien Schottenring"