But for Harvard, these are far from normal times. The government has cut billions in federal funds to the school and tried to ban international students — a quarter of its enrollment — from attending. The school has sued the government twice in the last several months, even as it tries to negotiate an end to a conflict that has forced painful belt-tightening. As Harvard’s problems pile up, Ms. Pritzker’s leadership has been called into question., As Harvard and the government negotiate to end a conflict with billions of dollars on the line, some ask whether Penny Pritzker, the head of the school’s governing board, should step down., In the high-stakes negotiations between the Trump administration and Harvard University, the White House and a growing number of people at Harvard have at least one shared goal. They want Penny Pritzker, the head of the university’s top governing board, out..