The Massachusetts Port Authority faces several major challenges over the next few years, including adding international routes out of Logan Airport, modernizing port facilities to accommodate larger cargo ships, and developing the East Boston waterfront, the agency’s new chief executive said.

In one of his first extended interviews since he was selected to lead the agency almost two months ago, Thomas Glynn said meeting these challenges could prove vital to Greater Boston’s economy, which has become increasingly tied to the global economy for markets, investment, and talent.