But Lagemann says the University’s recently purchased land in Allston may provide the perfect fit.

Though formal discussions about relocating have not yet taken place, the new face of the GSE, she says, may be located across the river. And an Allston planning committee has begun to evaluate options.

“Generally speaking, we want to move to Allston,” Lagemann says. “Our physical plant currently is constraining what we want to do. We really need new space.”

New space would provide opportunities for the school’s restructuring efforts to come to fruition.

“The question of what activities we should be engaged in gets raised when you talk about space,” she says.

“If you really want to build a community, moving to Allston is a no-brainer,” Pagett says.

—Staff writer Jenifer L. Steinhardt contributed to the reporting of this story.

—Staff writer Claire A. Pasternack can be reached at cpastern@fas.harvard.edu.