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From 1998 to 2015, she worked at the law firm of Finnegan, Henderson, Farabow, Garrett & Dunner and was a partner at that firm. Her practice focused on patent litigation, primarily in the consumer electronics, computers, software and medical device industries. She represented clients at both the trial and appellate levels and served as lead counsel on a number of cases before the United States Court of Appeals for the Federal Circuit. Among her prominent cases, she represented Akamai in en banc rehearing on issues of divided infringement in Akamai Technologies, Inc. v. Limelight Networks, Inc. (Fed. Cir.) and she successfully represented i4i in the largest ($290 million) patent verdict sustained on appeal in i4i Ltd. v. Microsoft (Fed. Cir.). In 2013, she was recognized as a Washington, D.C. "Super Lawyer" in Intellectual Property Litigation by the Super Lawyers Magazine.
On November 12, 2014, President Barack Obama nominated Stoll to serve as a United States Circuit Judge of the United States Court of Appeals for the Federal Circuit, to the seat vacated by Judge Randall Ray Rader, who retired on June 30, 2014.
On December 16, 2014, her nomination was returned to the President due to the sine die adjournment of the Senate. On January 7, 2015, President Obama renominated her to the same position. She received a hearing on her nomination on March 11, 2015. On April 23, 2015, her nomination was reported out of committee by a voice vote. On July 7, 2015, the Senate confirmed her by a 95–0 vote. She received her judicial commission on July 8, 2015. She took the oath of office on July 17, 2015.
Notable opinions
Her opinion in Advanced Steel Recovery v. X-Body Equipment, 808 F.3d 1313 (2015) is highly cited for elaborating on the doctrine of equivalents, to include requiring the infringing patented product to "perform in substantially the same way as the claimed invention."
She also wrote the Federal Circuit's opinion in the prominent case Secure Web Conference v. Microsoft, No. 2015-1321, 2016 WL 626492, in which patent infringement claims against Microsoft's Skype were dismissed.