Posted on May 11, 2015 by Sally Goldenberg in Capital New York Capital New York, By Sally Goldenberg Mayor Bill de Blasio, who has grappled with a growing homeless problem during his tenure, said Monday that the city’s homeless population is declining and rolled out a new initiative to improve shelter conditions. More than 56,000 people currently reside in the city’s homeless shelters, down from a high of more than 59,000 in December, according to the administration’s data.