Mathematical Sciences: Conformal Dynamical Systems and      Teichmuller Theory
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Linda Keen will work on problems in the theory of conformal                dynamical systems which are concerned with accesory parameter                   problems from Riemann surface theory. Lisa Goldberg will also                   carry out research in complex dynamics. She will investigate                    problems which include the computation of the fundamental group                 of the moduli space of a generic rational map and the analysis of               the action of an expanding entire map on its Julia set.                              The general problem of characterising conjugacy classes of                 entire functions is the main focus of Keen's research. She will                 work principally with the class of functions with no critical                   points and finitely many asymptotic values. Goldberg will try to                find extensions of results in the category of Kleinian groups to                certain classes of meromorphic functions. In order to study the                 dynamics of these functions it is essential to investigate the                  geometry of the corresponding Julia sets and stable sets.
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{'Code': '126500', 'Text': 'GEOMETRIC ANALYSIS'}
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