Miruna-Stefana Sorea is a postdoctoral researcher in the Nonlinear Algebra group of Bernd Sturmfels, at Max-Planck-Institut für Mathematik in den Naturwissenschaften (MiS) in Leipzig.

Born in Sibiu (Hermannstadt), Stefana obtained her PhD in France at Université de Lille, Laboratoire Paul Painlevé. Her advisors were Arnaud Bodin and Patrick Popescu-Pampu. Her research is situated at the crossroads between real algebraic geometry and singularity theory.

In particular, Stefana introduced and characterized a new combinatorial object, called the Poincaré-Reeb tree, which measures the nonconvexity of level curves of real polynomials near a strict local minimum. She constructed a family of bivariate polynomials that realize a large class of such trees. To this end, Stefana used the so-called Arnold snakes and tools inspired from a very recent book of Étienne Ghys - “A singular mathematical promenade”.

Lately, her research interests also include combinatorial and computational commutative algebra, with a view towards algebraic geometry.

https://sites.google.com/view/mirunastefanasorea/

June 11, 2019

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