Starocci will work toward his fourth national championship as a Nittany Lion.
Brooks went undefeated through five duels on his way to the world title.
The schedule is highlighted by a Monday night dual against Rutgers at the Bryce Jordan Center in February.
Duke is the youngest wrestler to ever win a New York state championship.
David Taylor and Zain Retherford added gold medals to their list of accolades.
Chertow finished third in the 1987 and 1988 NCAA Wrestling National Championships, wrestling at 126 pounds and 118 pounds, respectively.