photo Delphine Pol

Address : Department of Mathematics
                Technische Universität Kaiserslautern
                 Gottlieb-Daimler-Strasse building 48
                67663 Kaiserslautern , Germany
e-mail : lastname [_at_] mathematik.uni-kl.de (replace lastname by pol)
Office : 48-430 (Plan d'accès)
Phone number: +49 (0)631 205 2730
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Curriculum Vitae   Research documents  Talks and posters  Meeting organization  Teaching 


Doctor in Mathematics, I am now a postdoctoral fellow at the T.U. Kaiserslautern under the supervision of Prof. Dr. Mathias Schulze, with a Humboldt postdoctoral fellowship.
poster

Research interest: Algebraic geometry, free singularities, curve singularities, subspace arrangements, logarithmic forms and vector fields, logarithmic residues, semigroup and set of values of ideals along curves

Member of the GDR Singularités et Applications, GDR CNRS 2945

Thesis

I defended my PhD thesis whose title is Free singularities, logarithmic forms and residues on December, 8th 2016 at the University of Angers (France). The jury was: Abstract: We study in this PhD thesis the logarithmic differential forms along a reduced singular equidimensional space of any codimension embedded in a smooth manifold. We develop a notion of free singularities which extend the notion of Saito free divisor. Our first purpose is to give characterizations of freeness for Cohen-Macaulay spaces which generalize the hypersurface case. We then consider the case of curves, for which we generalize Delgado's theorem of the symmetry of the semigroup to any fractional ideal and its dual. We use this result to study the module of logarithmic residues, in particular in an equisingular deformation of a plane curve. We also compute explicitely a free resolution of the module of logarithmic forms of a reduced quasi-homogeneous complete intersection curve.

Research documents

Publications

Preprints

Thesis

Algorithms for Singular

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Awards and fellowships

Talks and posters

Conference talks

Seminar talks

Talks in PhD students workshop in geometry

Poster

Research stays

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Meeting organization

Teaching

2016-2017

2015-2016 and 2014-2015

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