How can I connect with a historian over the internet in Kittila, Finland?

Kittilä is a minor place, it very likely that there are no historians who are specialized in Kittilä history. Since you gave information about your family, i guess you are interested in your family history. I would recommend you to contact the Kittila parish for more information. A helpful source of information to a genealogist in Finland is Sukututkimusseura (The Genealogical Society of Finland) and their database Hiski:

http://www.genealogia.fi/index.php?lang=en

http://www.genealogia.fi/index.php?option=com_content&view=article&id=1…

It is also worth looking of the parish register of Kittilä:

http://www.sukuhistoria.fi/sshy/kirjat/Kirkonkirjat/kittila/kittila.htm

email address to Kittilä parish is kittila.seurakunta@evl.fi

http://www.evl.fi/srk/kittila/