photo Delphine Pol

Address : Department of Mathematics
                Hokkaido University
                 Kita 10, Nishi 8, Kita-ku
                Sapporo 060-0810, Japan
e-mail: pol [_at_] math.sci.hokudai.ac.jp
Office : 4-515 (Campus map)
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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 University of Hokkaido under the supervision of Professor Masahiko Yoshinaga with a postdoctoral fellowship of the Japan Society for the Promotion of Science (JSPS) (Postdoctoral Fellowship (Short-term) for North American and European Researchers). From October 2018, I will be a postdoctoral fellow at 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 ideal 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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