Ludwig earned a Diploma-Ing. degree from the Vienna University of Technology in 1990, and a doctorate in 1994 under the supervision of Peter M. Gruber. She remained at the same university as an assistant and associate professor from 1994 until 2007, when she moved to the Polytechnic Institute of New York University. She returned to the Vienna University of Technology as a full professor in 2010.
Ludwig won the Edmund and Rosa Hlawka Prize of the Austrian Academy of Sciences, given to an outstanding Austrian researcher in geometry of numbers or numerical analysis under the age of 30, in 1998. She became a corresponding member of the Austrian Academy of Sciences in 2011, and a fellow of the American Mathematical Society in 2012.She became a member of the Austrian Academy of Sciences since 2013.
American Mathematical Society]
She became a corresponding member of the Austrian Academy of Sciences in 2011, and a fellow of the American Mathematical Society in 2012.She became a member of the Austrian Academy of Sciences since 2013.
