Miruna-Ştefana Sorea




Starting with October 2020 I am a postdoctoral researcher at the scientific research institute SISSA Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy, working with Antonio Lerario, in the groups Geometry and Mathematical Physics and Mathematical Analysis, Modelling and Applications.        



From April 2021 I am a member of the Research Center in Mathematics and Applications, which is part of the Faculty of Sciences of the „Lucian Blaga” University of Sibiu, Romania, in the Numerical Methods and Approximation Theory Group.

Between February 2019 and September 2020 I was a postdoctoral researcher in the Nonlinear Algebra Group of Bernd Sturmfels, at Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany.

In October 2018 I defended my PhD thesis in France at Université de Lille, Laboratoire Paul Painlevé, where I was financially supported by Laboratoire d’Excellence Centre Européen pour les Mathématiques, la Physique et leurs interaction (CEMPI) and by Région Hauts-de-France. My PhD advisors were Arnaud Bodin and Patrick Popescu-Pampu.

My main research interest:

Real Algebraic Geometry and (Non)linear Algebra:

- topology and geometry of real and complex singularities;

- polynomial dynamical systems inspired by interaction networks;

- algebraic statistics

I am a co-organizer of the Geometric Structures Seminar at SISSA, Trieste, Italy - see also here.

Some recent activities and news:

Abstract: The aim of this course is to provide a local study of the singular points of plane curves. The theory of singularities of complex algebraic plane curves is situated at the crossroads of many interesting areas of mathematics, making the study of curve singularities particularly fruitful up to this day. We start with a short introduction to the subject, where we briefly review results about manifolds and plane algebraic curves. Moreover, we focus on polar curves, Puiseux's theorem and resolution of singularities. Next, we show how combinatorial tools such as the Eggers tree can be used in the study of the contact of two branches of a curve. One of the core concepts in the first part of the course is equisingularity of curves. In the second part of the course we study the geometry of the link of a singularity, Milnor's fibration theorem and the Milnor number. In addition, we also see a proof of Klein's equation (using Euler characteristics of constructible functions), which relates invariants of a projective curve with invariants of its dual curve. Time permitting, we will also tackle the decomposition of the link complement and the computation of the monodromy of the Milnor fibration.

A long version of my CV is available upon request.