Real Numerical Algebraic Geometry

The authors are hosting an AMS sponsored Mathematics Research Community (MRC) on real numerical algebraic geometry.The research program developed by the authors will focus on theory and algorithm design for real numerical algebraic geometry along with solving problems arising in applications such as kinematics and chemical reaction networks.This article provides some background and an introduction to the themes of this MRC.Interested pure and applied researchers in mathematics and fields related to the applications are encouraged to apply. Real Numerical Algebraic GeometryNumerical algebraic geometry (65H14 in MSC2020) is the mathematical subject area focused on numerically computing and manipulating solution sets to systems of polynomial equations.The name numerical algebraic