You have a beautiful Nauset 36, based on the Royal Lowell designed Bruno 35, and as finished by Shannon, who are known for their well built boats (mostly sail).
I am noticing it thanks to your gallery coming by on the top scroll.
I would be interested in learning more of the story on the extensive core replacement you found you needed to do, particularly given the good reputations of both builders.
I would also love to see some pics of the insides of your boat as well.
Also, FWIW, the other boat noted above I believe is a Wilbur 38, another beauty.