Connectivity of Hurwitz spaces
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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FTE Category A staff submitted: 40.00
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