# Miruna-Ştefana Sorea

Emails:

mirunastefana.sorea(at)sissa(dot)it

miruna.stefana.sorea(at)gmail(dot)com

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

Webpage from Université de Lille

MR Author ID: 1401830

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

Some recent activities and news:

January 2023, our paper "The disguised toric locus and affine equivalence of reaction networks" (Sabina J. Haque, Matthew Satriano, Miruna-Stefana Sorea, Polly Y. Yu) has been accepted for publication in SIADS (SIAM Journal on Applied Dynamical Systems).

January 2023, talk on "Poincaré-Reeb graphs of real algebraic domains", at the Copenhagen-Jerusalem Combinatorics Seminar.

December 2022, our paper "Symmetrically colored Gaussian graphical models with toric vanishing ideal" (Jane Ivy Coons, Aida Maraj, Pratik Misra and Miruna-Stefana Sorea) has been accepted for publication in SIAGA (SIAM Journal on Applied Algebra and Geometry).

November-December 2022: I taught the PhD course "Singular points of complex algebraic plane curves" (10 lectures, a total of 20 hours) at SISSA, Trieste, Italy.

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.

December 6, 2022: talk on "Disguised toric dynamical systems", SISSA Junior Math Days 2022, Trieste, Italy.

November 16, 2022: talk on "Realization of Poincaré-Reeb graphs by real algebraic domains", Seminario Geometría Algebraica: singularidades e invariantes GASIULL, Universidad de La Laguna, Tenerife, Spain.

November 9, 2022: talk on "Poincaré-Reeb graphs of real algebraic domains", Bringing Young Mathematicians Together (BYMAT) 2022, Universidad de Valencia, Spain.

November 8, 2022: talk on "Poincaré-Reeb graphs of real algebraic domains", Seminario Geometría Algebraica: singularidades e invariantes GASIULL, Universidad de La Laguna, Tenerife, Spain.

October 25, 2022: video: talk on "Poincaré-Reeb graphs of real algebraic domains", Conference on Real Algebraic Geometry, CIRM, Marseille, France.

October 21, 2022: our paper "Exact solutions in log-concave maximum likelihood estimation" (Alexandros Grosdos, Alexander Heaton, Kaie Kubjas, Olga Kuznetsova, Georgy Scholten, Miruna-Stefana Sorea) has been published online in Advances in Applied Mathematics. You can read it at this link.

October 4, 2022: talk on "Poincaré-Reeb graphs of real algebraic domains", Singularity theory and its applications, Research Institute for Mathematical Sciences, Kyoto University, Japan.

September 19-23, 2022: I attended "From Statistical Physics to Random Geometry" Summer School, at SISSA, Trieste, Italy.

September 13, 2022: talk on "Poincaré-Reeb graphs of real algebraic domains", ICATA2022, Lucian Blaga University, Sibiu, Romania.

September 1, 2022: talk on "Disguised toric dynamical systems" at XVème Colloque Franco-Roumain de Mathématiques Appliquées, Toulouse, France.

August 8, 2022: our paper "Families of Polytopes with Rational Linear Precision in Higher Dimensions" (Isobel Davies, Eliana Duarte, Irem Portakal, Miruna-Stefana Sorea) has been published online in Foundations of Computational Mathematics - you can read it here.

July 29, 2022: plenary talk on "Poincaré-Reeb graphs of real algebraic domains", 17th International Workshop on Real and Complex Singularities, Sao Carlos, Brazil - online.

July 14, 2022: new preprint "Poincaré-Reeb graphs of real algebraic domains" (Arnaud Bodin, Patrick Popescu-Pampu, Miruna-Stefana Sorea) is on arXiv: https://arxiv.org/abs/2207.06871

July 7, 2022: my research paper "Permutations encoding the local shape of level curves of real polynomials via generic projections" was published online in Annales de l'Institut Fourier - see at this link.

July 7, 2022: talk on "Poincaré-Reeb graphs of real algebraic domains", Meeting of GDR Singularités 2022, Centre Paul Langevin, Aussois, France.

May 19, 2022: talk on "Multinomial staged tree models and polytopes with rational linear precision", Workshop for Young Researchers in Mathematics (WYRM), Institute of Mathematics of the Romanian Academy (IMAR), Bucharest, Romania - online.

April 26, 2022: talk on "Disguised Toric Dynamical Systems", at the Formal Reaction Kinetics Seminar, Budapest, Hungary - online.

February 9, 2022: poster presentation on "Disguised Toric Dynamical Systems" at The Virtual 13th Conference on Dynamical Systems Applied to Biology and Natural Sciences, DSABNS 2022, Basque Center for Applied Mathematics in Bilbao, Basque Country, Spain - online.

February 7, 2022: plenary talk on "The shapes of level curves of real polynomials near strict local minima" at The 2nd International Meeting of Young Researchers in Singularity Theory and Related Fields, Sao Carlos, Brazil - online.

December 20, 2021: talk on "Poincaré-Reeb trees of real Milnor fibres" at SISSA Junior Math Days, Trieste, Italy.

A long version of my CV is available upon request.