Ueber Riemann'sche Flächen mit gegebenen Verzweigungspunkten
TLDR
The Riemannsche Theorie der algebraischen Funktionen as discussed by the authors is a Theorie von der graphisch uber der komplexen Zahlenebene.Abstract:
Die grundlegende Bedeutung des vorliegenden Themas fur die Riemann’sche Theorie der algebraischen Funktionen brauche ich wohl kaum hervorzuheben. Geht doch diese Theorie von der graphisch uber der komplexen Zahlenebene konstruierten Riemann’schen Flache aus, um erst sodann die Funktionen, welche durch diese Flache bestimmt sind, zu untersuchen.read more
Citations
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Almost-regular Dessins d'Enfant on a torus and sphere
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Factorization problems in complex reflection groups
TL;DR: In this paper, the authors enumerate factorizations of a Coxeter element in a well generated complex reflection group into arbitrary factors, keeping track of the fixed space dimension of each factor.
Dissertation
Long-Moody functors and stable homology of mapping class groups
TL;DR: In this paper, the Long-Moody construction is extended to other families of groups such as mapping class groups of surfaces and 3-manifolds, symmetric groups or automorphism groups of free groups.
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Hurwitz numbers: on the edge between combinatorics and geometry
TL;DR: A survey of recent progress in understanding Hurwitz numbers can be found in this article, where the Cayley numbers N N 1 enumerating rooted trees on N marked vertices is considered.
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Transitive Factorizations in the Hyperoctahedral Group
TL;DR: In this article, the authors studied the generalization of the Hurwitz enumeration problem to other finite reflection groups and to type B. They derived the main result by combinatorial means and then provided a geometrical explanation of the result.
References
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Ueber die Auflösung gewisser Gleichungen vom siebenten und achten Grade
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Ueber diejenigen algebraischen Gebilde, welche eindeutige Transformationen in sich zulassen
TL;DR: In den nachfolgenden Zeilen beschaftige ich mich namentlich mit der Aufgabe: alle irreduzibeln algebraischen Gleichungen as discussed by the authors.