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Connectivity of Hurwitz spaces

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  • Full or part time
    Dr K Maggard
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

Birmingham University is well-known for its research into finite groups, group geometries, Lie theory and representation theory. The Schoolof Mathematics has a vibrant and productive postgraduate environment that promotes research at the highest level.

Hurwitz spaces are moduli spaces of covers of Riemann surfaces. A celebrated theroem of Fried and Voelkein asserts that rational points on Hurwitz spaces give realizations of groups as Galois groups over the rational numbers. Closely related to the question of the existence of rational points and of interest in its own right is the question of connectivity of Hurwitz spaces.

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Funding Notes

This project may be eligible for a college or EPSRC scholarship in competition with all other PhD applications.

Related Subjects

How good is research at University of Birmingham in Mathematical Sciences?

FTE Category A staff submitted: 40.00

Research output data provided by the Research Excellence Framework (REF)

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