Big Apple
"The Big Apple" was popularized as a name for New York City by John J. Fitz Gerald in a number of horse-racing articles for the "New York Morning Telegraph" in the 1920s. The earliest of these was a casual reference on 3rd May, 1921:
Tech Valley
Tech Valley began as a marketing name for the eastern part of the U.S. state of New York, encompassing the Capital District and the Hudson Valley. Originated in 1998 to promote the greater Albany area as a high-tech competitor to regions such as Silicon Valley and Boston, the moniker subsequently grew to represent the counties in New York between IBM's Westchester County plants in the south and the Canada–United States border to the north, and has since evolved to constitute both the technologically-oriented metonym and the geographic territory comprising most of New York State north of New York City. The area's high technology ecosystem is supported by technologically-focused academic institutions including Rensselaer Polytechnic Institute and the State University of New York Polytechnic Institute.