Baum earned a doctorate (Dr. sc. nat.) in mathematics in 1980 at the Humboldt University of Berlin. Her dissertation, Spin-Strukturen und Dirac-Operatoren über Pseudoriemannschen Mannigfaltigkeiten, was supervised by Thomas Friedrich [de].[3]
Books
Baum is the author or coauthor of several books, including:
Conformal differential geometry: Q-curvature and conformal holonomy, with Andreas Juhl, Birkhäuser, 2010[4]
Eichfeldtheorie: Eine Einführung in die Differentialgeometrie auf Faserbündeln [Gauge theory: An introduction into differential geometry on fibre bundles] (Springer, 2009; 2nd ed., 2014)[5]
Twistor and Killing spinors on Riemannian manifolds, with Thomas Friedrich, Ralf Grunewald, and Ines Kath, Teubner, 1991[6]
Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten [Spin structures and Dirac operators on pseudo-Riemannian manifolds], Teubner, 1981[7]