The Roundtree Amagansett cooked up “Savor the Hamptons Winter Culinary Series,” a rotating chef residency for menus served at neighboring Rosie’s restaurant. February’s guest eateries include Bronson’s Burgers (Nolita); Jia dim sum (Port Washington, N.Y.); Michelin-starred Junoon’s Indian cuisine (Flatiron District), and a sneak peek of New Orleans-inspired Alligator Pear opening in the city this spring. 273 Main Street, Amagansett, N.Y., 11930.