Dissertation: A Study of Singularities in Homotopy Continuation for Kinematic Applications, DOI: 10.7274/27569475
[7] Andrew J. Sommese, Jonathan D. Hauenstein, Caroline Hills, and Charles W. Wampler,
Branch points of homotopies, Part II: Enumeration and general theory (pdf)
[6] Jonathan D. Hauenstein, Caroline Hills, Andrew J. Sommese, and Charles W. Wampler,
Branch points of homotopies, Part I: Distribution and probability of failure. (pdf)
[5]Taylor Brysiewicz, Jonathan D. Hauenstein, and Caroline Hills. Max-convolution through numerics and tropical geometry. Numer Algor (2023). https://doi.org/10.1007/s11075-023-01668-w
[4] Caroline Hills, Aravind Baskar, Mark Plecnik, and Jonathan D. Hauenstein,
Computing complete solution sets for approximate four-bar path synthesis. Mechanism and Machine Theory, 196, 105628, 2024. https://doi.org/10.1016/j.mechmachtheory.2024.105628.
[3] Jonathan D. Hauenstein, Alan Huebner, John P. Wagle, Emma R. Cobian, Joseph Cummings, Caroline Hills, Megan McGinty, Mandy Merritt, Sam Rosengarten, Kyle Skinner, Michael Szemborski, Leigh Wojtkiewicz,
Assessing reliability of movement screenings using a markerless motion capture system (pdf). A version of this article will appear in Orthopaediac Journal of Sports Medicine.
[2] Parker B. Edwards, Aravind Baskar, Caroline Hills, Mark Plecnik, and Jonathan D. Hauenstein,
“Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based Path Planner,” 2023 IEEE International Conference on Robotics and Automation (ICRA), London, United Kingdom, 2023, pp. 9735-9741, doi: 10.1109/ICRA48891.2023.10160891.
[1] Baskar, A, Hills, C, Plecnik, M, and Hauenstein, JD. “Estimating the Complete Solution Set of the Approximate Path Synthesis Problem for Four-Bar Linkages Using Random Monodromy Loops.” Proceedings of the ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 7: 46th Mechanisms and Robotics Conference (MR). St. Louis, Missouri, USA. August 14–17, 2022. V007T07A026. ASME. https://doi.org/10.1115/DETC2022-90402