NEW YORK — Zohran Mamdani swept to victory in the mayor’s race with a canny pledge to freeze the rent for New York City’s roughly 2 million tenants in rent-stabilized apartments.

When Mamdani takes office in January, a vote to freeze the rent will still be several months away. But the city’s housing crisis is a much broader, messier problem, and a host of other housing-related issues are sure to command his attention right away.

Here’s a look at a few of them.

The Dire State of Public Housing

New York City’s public housing system — almost 180,000 apartments spread across 335 developments — is a crucial source of apartments that are affordable to the poorest residents.

But residents in the aging buildings have been dealing with persistent leaks, heat outages and pest problems for years

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