**Patricia E. Bauman** is an American mathematician. She is a professor of mathematics at Purdue University, where she studies partial differential equations that model the behavior of liquid crystals and superconductors.

She received her Ph.D. from the University of Minnesota-Minneapolis in 1982, under the supervision of Eugene Fabes.

Bauman was an AMS Centennial Fellow for 1994–1995. In 2012, Bauman became a fellow of the American Mathematical Society.