Project description: Numerical algebraic geometry uses tools from computational mathematics to solve systems of polynomial equations. In general, systems of polynomial equations can be very difficult to solve exactly, so numerical computations provide an alternate way to find their solutions. The main tool is called homotopy continuation, which is a tool for deforming solutions to systems of equations.

Project: Depending on participants' backgrounds, there are several potential avenues to explore in this area. There are many papers in this new area that end with open problems in robotics and engineering. This is also a more free-form project, where we would attempt to determine new applications of numerical algebraic geometry or discover properties of (in applications) for existing applications.

Prerequisites:  either algebraic geometry or computational skills (e.g., with Matlab) are necessary.

Project faculty:
Prof. Michael Burr
Email: burr2 at clemson.edu (change "at" to "@")
Office hours: TBA
Bio: coming soon