ERC Project PolySpin

I gratefully acknowledge support from the European Research Council through ERC Starting Grant PolySpin. 

The project focuses on two areas in the study of random functions in high dimensions: mathematical spin glass theory and random systems of polynomial equations. Research in these areas has so far been conducted by largely separate mathematical communities. One of the main goals of this project is to bridge this gap by bringing tools from spin glass optimization into the study of algorithms for solving large random polynomial systems, and specifically the real version of Smale's 17th problem.