# Olga Holtz

Olga Holtz is a professor of Mathematics at the University of California-Berkeley, a professor of Applied Mathematics at Technical University Berlin, and a professor at the Berlin Mathematical School. She received the Sofja Kovalevskaja award in 2006 and a European Mathematical Society Prize in 2008. Among her research interests are Numerical Analysis, Approximation Theory, Commutative Algebra, Enumerative Combinatorics, Compressive Sensing and Probability. Her Erdös number is 3. |

**"Zero localization: from simple algebra to tantalizing open problems":** This talk will be devoted to (precise) zero localization of polynomials, entire and meromorphic functions. This subject goes back at least to Rene Descartes and was developed further by Hermite, Laguerre, Jacobi, Hurwitz, Polya, Szego, Schoenberg, Krein and other giants of our field. I will discuss its historic developments and its connections with other fields, most notably linear algebra.

**"Around the Routh-Hurwitz problem":** In my second talk, I will focus on the many aspects of the Routh-Hurwitz problem about polynomial stability: algebraic, analytic and matrix-theoretic.