Jonathan D. Hauenstein

North Carolina State University, University of Notre Dame

Papers

Total Citations

390

H-Index

About

Jonathan D. Hauenstein is a leading figure in numerical algebraic geometry, whose work bridges abstract mathematics with real-world engineering challenges. His primary research focuses on developing and applying numerical methods to solve systems of polynomial equations—a fundamental problem with applications ranging from robotics to kinematics. Hauenstein’s most significant contribution is his co-authorship of the definitive guide *Numerically Solving Polynomial Systems with Bertini* (2013), which has amassed over 356 citations. This book not only explains the core concepts of the field but also serves as a comprehensive manual for the widely used open-source Bertini software, making advanced computational tools accessible to researchers and practitioners alike. Beyond this foundational text, Hauenstein has pioneered certified path tracking techniques for Newton homotopies, ensuring the reliability of numerical solutions in complex systems. His recent work demonstrates the practical impact of his methods, such as using monodromy-based numerical continuation to solve the forward kinematics of cable-driven parallel robots with sagging cables, and designing rotary linkages for polar motions. With a career marked by both theoretical depth and tangible applications, Hauenstein’s research continues to empower engineers and scientists to tackle previously intractable problems.