On January 1, thirty-seven-year-old Arthur Gregg Sulzberger will succeed his father, Arthur Ochs Sulzberger, Jr., as the publisher of the New York Times. His 2014 internal report to the Times’ leadership is credited with launching the paper’s transition into a digital-first news platform. David Remnick talks with Sulzberger about his apprenticeship at a small-town reporter, the “Trump bump,” and how long the print edition of the Times is expected to continue.