The Museum of Contemporary Art Denver announced Tuesday that Nora Burnett Abrams will become its new executive director. Abrams is a familiar face at the MCA. For the last 10 years, she has served as the museum’s chief curator — basically its No. 2 leader on the creative side of the operation — working under Adam Lerner, who departed the top job last month. The appointment is a clear vote for institutional continuity on the part of the MCA’s board of trustees, who selected an in-house candidate after commencing a national search to replace Lerner when he announced his departure in November. Abrams, at 41, will be on the younger side of contemporary museum administrators in the country.