From 1899 he was an adjunct professor at the University of Göttingen, where he taught descriptive geometry and oversaw the collection of mathematical equipment.
In his dissertation, he developed a new interpretation of the formulas of spherical trigonometry as a relationship between the invariants of three quadratic forms and their functional determinants.
He took notes on and edited the lectures on higher geometry by Felix Klein from 1892/93, which were initially distributed in autographed form.
[3] Schilling himself wrote several books on non-Euclidean geometry, which were strongly influenced by his geometric intuition.
In November 1933, he signed the Bekenntnis der Professoren an den deutschen Universitäten und Hochschulen zu Adolf Hitler.