After her fellowship, Stoll was an associate scientist at the
International Centre for Diarrhoeal Disease Research, Bangladesh. She was a visiting scientist at
University of Gothenburg where she researched systemic and mucosal immune response to diarrheal agents. In 1984, Stoll became an assistant professor in the
Uniformed Services University of the Health Sciences Department of Medicine. She researched immune mechanisms of infectious disease prevention. In 1986, she began at the division of neonatal-perinatal medicine at
Emory University School of Medicine. She took a year
sabbatical working for the
World Health Organization where she raised awareness on neonatal morbidity and mortality in developing countries. In 1997, she was promoted to full professor of pediatrics at Emory. In 1999, she was named the vice-chair for research in the department of pediatrics. In 2004, she became the chair of the department. She was the second woman to chair a department at Emory, following
Luella Klein, and the first woman to chair Emory's Department of Pediatrics. , she is the H. Wayne Hightower Distinguished Professor in the Medical Sciences, Professor of Pediatrics and former Dean at the
University of Texas Health Science Center at Houston. == Personal life ==