Publications

• Certifying zeros of polynomial systems using interval arithmetic (2022, with Paul Breiding and Kemal Rose), ACM Transactions on Mathematical Software 49 (1), 1-14
• Catastrophe in Elastic Tensegrity Frameworks (2021, with Alex Heaton), accepted for publication in Arnold Mathematical Journal.
• Mixed Precision Path Tracking for Polynomial Homotopy Continuation (2021), Advances in Computational Mathematics volume 47, Article number: 75
• Estimating linear covariance models with numerical nonlinear algebra (2020 with Bernd Sturmfels and Piotr Zwiernik, arXiv:1909.00566). Algebraic Statistics 11-1 (2020), 31--52.
• 96120: The degree of the linear orbit of a cubic surface (2019 with Laura Brustenga and Madeleine Weinstein). Le Matematiche 75 (2), 425-437.
• Polymake.jl: A new interface to polymake(2020 with Marek Kaluba and Benjamin Lorenz).Mathematical Software – ICMS 2020. Lecture Notes in Computer Science, 12097, 377-385, 2020
• Backward Error Measures for Roots of Polynomials (2020 with Simon Telen and Marc Van Barel).Numerical Algorithms.
• 3264 Conics in a Second (2020, with Paul Breiding and Bernd Sturmfels). Notices of the American Mathematical Society 67 30-37 .
• HomotopyContinuation.jl: A package for homotopy continuation in Julia(2018 with Paul Breiding).Mathematical Software – ICMS 2018. Lecture Notes in Computer Science, 10931, 458-465, 2018