**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*

**Ph.D. Thesis**

I wrote my Ph.D. thesis entitled **Numerical Nolinear Algebra** under the supervision of Michael Joswig and Bernd Sturmfels. It is available here.