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Lie was at Leipzig from 1886 until 1896 and he greatly influenced Scheffers' work. Lie suggested the topic for his doctoral thesis on plane contact transformations and also the topic for his Habilitationsschrift on complex number systems.
Scheffers' most important work, also inspired by Lie, was a paper in 1903 on Abel's theorem.
Later in life Scheffers wrote many popular mathematics textbooks and edited Lie's works.
His favourite topic was differential geometry and here he discovered many properties of particular curves and surfaces. He was an outstanding writer on his subject giving many excellent accounts of his work.
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