Her research interests includes algebraic geometry, in particular the Bloch–Kato conjectures.
A native of Frankfurt am Main, Huber-Klawitter began her academic career at the Goethe University Frankfurt.
She obtained her doctorate from the University of Münster in 1994, under the supervision of Christopher Deninger.
In 1996 Huber-Klawitter won an EMS Prize.
She was an invited speaker at the 2002 International Congress of Mathematicians in Beijing.
In 2012 she became a fellow of the American Mathematical Society.