His research was focused on algebra and its application to geometry, elliptic functions and hyperelliptic functions.
2.
This was done first by A . Stein and H . G . Zimmer in the case of real hyperelliptic function fields.
3.
Hyperelliptic functions were first published by Adolph G�pel ( 1812-1847 ) in his last paper " Abelsche Transcendenten erster Ordnung " ( Abelian transcendents of first order ) ( in Journal f�r reine und angewandte Mathematik, vol . 35, 1847 ).