I am a Massachusetts resident and I got a speeding ticket (83 mph in a
55 mph zone) in New York. I want to know: (1) Will the New York DMV
(or whoever is responsible) report the ticket to Massachusetts?  (2)
If NY does report to Mass, what will Mass do with it? That is, how
many points will that put on my Massachusetts license?

Now im not completley sure here because MA is so distanced from the
rest of the auto-insurance companies they might never find out

its 6 to 8 points on your license
here is detailed information on the NY violations and appeals system
and ticket information in general
http://www.nydmv.state.ny.us/broch/c49.htm
http://www.redlichlaw.com/traffic/faq.html

and these places offers some sortof way to get rid of your ticket
http://www.notspeeding.com/
http://www.speedingticketny.com/

I did find out for a fact that MA does not recognize some of NY's
policies like the in-transit permit.