Boston College has named David Quigley, dean of the College and Graduate School of Arts and Sciences, as its new provost and dean of faculties. Quigley came to the college in 1998 and will take his new role June 1. He succeeds Joseph Quinn, who served as the interim provost for the past year. “David Quigley is well suited to be the next provost of Boston College,” the college’s president, William P. Leahy, said in a statement Tuesday. “He has excelled as a teacher and scholar in the History Department, understands the demands and possibilities of academic leadership from his years as dean of the College of Arts and Sciences, and both understands and supports BC’s mission, especially its Jesuit, Catholic dimensions.’’ The provost is the senior academic officer for the campus. Quigley graduated from Amherst College and received his master’s and doctorate from New York University, where he studied 19th-century American history.