Retired Army Gen. David Petraeus will take a new job with investment firm Kohlberg Kravis Roberts & Co. L.P. as he attempts to rebuild his reputation after an extramarital affair with a biographer triggered his resignation as CIA director last fall.

Petraeus, 60, will serve as chairman of the New York firm’s newly created KKR Global Institute. He was CIA director from September 2011 until last November. Before that, Petraeus served more than 37 years in the U.S. Army, where he rose to the rank of four-star general.

Petraeus served as commander of NATO forces in Afghanistan and also commanded forces in Iraq in 2007 and 2008, when violence in that country dropped following a surge in military forces.

KKR said Thursday that Petraeus will support its investment teams and portfolio companies when studying new investments, especially in new locations. The company did not detail terms of its agreement with Petraeus, but a spokeswoman said he will serve in a consultant’s role.

Petraeus has a doctorate from Princeton University and has written widely on international relations, military strategy and tactics, and national security issues. He also has taught economics and international relations at the U.S. Military Academy.

Petraeus will add the new job to a couple of teaching assignments. Earlier this month, the University of Southern California announced that he will join its faculty to teach classes and mentor ROTC members.

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