Change in the institutional air is palpable. A new kind of curator is trying to encapsulate our collective and fragmented visual culture, remaking the museum experience by giving due to a wider set of artists’ concerns, peoples and histories. They are contesting 20th-century categorization in search of a more dynamic rendering of art and life that captures what is happening both inside and outside the gallery. They are seeking to shape a museum of the 21st century. Here are 10 of the curators, who in their own words explain how they are leading that charge in the U.S., one exhibition at a time.