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Research
I work in the area of Integrable Systems, specialising in monodromy preserving
deformations of linear systems (isomonodromic deformation equations). Mainly
the Schlesinger equations, the Painleve' equations and their higher order
analogues.
Mostly, I approach the study of these equations and their solutions from a
differential-geometric and complex-analytic point of view, but being a
theoretical physicist by training, I have an interest in applications such as
topological field theory and random matrix models.
Recently I started to be interested in the relation between
monodromy preserving deformation equations and the Teichmuller theory of
noncompact Riemann surfaces.
Teaching
11MAB240:
Fourier Analysis and Partial Differential Equations.
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