Carl Johannes Thomae

In 1879 Thomae became ordentliche professor at the [[University of Jena]]. In 1892 he married his second wife Sophie Pröpper in Jena. One year later was born Susanne Thomae. In 1914 Thomae, at that time dean of the philosophical faculty at the University of Jena, retired. In 1921 he died in Jena after a short illness.

In 1879 Thomae became ordentliche professor at the [[University of Jena]]. In 1892 he married his second wife Sophie Pröpper in Jena. One year later was born Susanne Thomae. In 1914 Thomae, at that time dean of the philosophical faculty at the University of Jena, retired. In 1921 he died in Jena after a short illness.

Carl Johannes Thomae's research was concerned with [[Complex analysis|function theory]] and with what German-speaking mathematicians often call "Epsilontik", the precise development of analysis, differential geometry, and topology using epsilon-neighborhoods in the style of [[Karl Weierstrass|Weierstrass]]. The [[Thomae's function|Thomae function]], the Thomae transformation formula (''aka'', Thomae's transformation and Thomae's theorem),[http://mathworld.wolfram.com/ThomaesTheorem.html Thomae's Theorem from mathworld.wolfram.com]{{cite book|title=Ramanujan: twelve lectures on subjects suggested by his life and work|author=Hardy, G. H.|year=1999 |orig-date=1940|publisher=Am. Math. Soc|pages=104––105|isbn=0-8218-2023-0|url=https://books.google.com/books?isbn=0-8218-2023-0}} Ramanujan independently rediscovered both the statement and proof of Thomae's transformation formula. the [[Thomae formula]] for hyperelliptic curves,{{cite journal|author=Nakayashiki, Atsushi|title=On the Thomae formula Z_N curves|year=1996|arxiv=alg-geom/9608016 |bibcode=1996alg.geom..8016N}} and the Sears–Thomae transformation formula{{cite book|title=Ramanujan's lost notebook, Part 2|author1=Andrews, George E.|author2=Berndt, Bruce C.|page=45|year=2008|publisher=Springer|isbn=978-0-387-77765-8|url=https://books.google.com/books?isbn=0-387-77765-2}} are named after him. He called himself [[Bernhard Riemann|Riemann]]'s student, although he never attended a lecture by Riemann.

Carl Johannes Thomae's research was concerned with [[Complex analysis|function theory]] and with what German-speaking mathematicians often call "Epsilontik", the precise development of analysis, differential geometry, and topology using epsilon-neighborhoods in the style of [[Karl Weierstrass|Weierstrass]]. The [[Thomae's function|Thomae function]], the Thomae transformation formula (''aka'', Thomae's transformation and Thomae's theorem),[http://mathworld.wolfram.com/ThomaesTheorem.html Thomae's Theorem from mathworld.wolfram.com]{{cite book|title=Ramanujan: twelve lectures on subjects suggested by his life and work|author=Hardy, G. H.|author-link=G. H. Hardy|year=1999 |orig-date=1940|publisher=Am. Math. Soc|pages=104––105|isbn=0-8218-2023-0|url=https://books.google.com/books?isbn=0-8218-2023-0}} Ramanujan independently rediscovered both the statement and proof of Thomae's transformation formula. the [[Thomae formula]] for hyperelliptic curves,{{cite journal|author=Nakayashiki, Atsushi|title=On the Thomae formula Z_N curves|year=1996|arxiv=alg-geom/9608016 |bibcode=1996alg.geom..8016N}} and the Sears–Thomae transformation formula{{cite book|title=Ramanujan's lost notebook, Part 2|author1=Andrews, George E.|author2=Berndt, Bruce C.|page=45|year=2008|publisher=Springer|isbn=978-0-387-77765-8|url=https://books.google.com/books?isbn=0-387-77765-2}} are named after him. He called himself [[Bernhard Riemann|Riemann]]'s student, although he never attended a lecture by Riemann.

==Works==

==Works==