photo Delphine Pol

Address: Département de mathématiques
                Faculté des Sciences
                 2 Boulevard Lavoisier
                49045 Angers cedex 01 FRANCE
e-mail: pol _at_ math.univ-angers.fr
Office : I 011
Phone number: (+33) 2 41 73 54 63
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PhD in Mathematics, I am now a Temporary Teaching and Research Assistant (ATER) at the University of Angers. poster

Curriculum Vitae


Research interest: free singularities, logarithmic forms and vector fields, logarithmic residues, curves, values

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 in Angers. 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

Publication(s)

Preprints

Master's thesis

Algorithms for Singular

Talks and posters

Conference talks

Seminar talks

Talks in PhD students workshop in geometry

Poster

Award

Meeting organization

Teaching

2016-2017

2015-2016 and 2014-2015