Sylvie Paycha (born 27 March 1960 in Neuilly-sur-Seine) is a French mathematician and mathematical physicist working in operator theory as a professor at the University of Potsdam. She has chaired both European Women in Mathematics and L'association femmes et mathématiques.
She completed her PhD thesis at the University of Bochum, Germany in 1988. Her doctoral advisor was Sergio Albeverio.