Sarah Percival's homepage
Assistant Professor
Email: spercival@unm.edu
Office Location: SMLC 220
Office Hours:
Monday: 11:00-12:00
Wednesday: 11:00-12:00
Wednesday: 11:00-12:00
Research Area:
My research is in applied and computational topology. I am particularly interested in Reeb and mapper graphs and graph curvature.
Papers
- Alvarado, Enrique G., et al. "Any Graph is a Mapper Graph." arXiv, 2024. https://arxiv.org/abs/2408.11180.
- Percival, Sarah, et al. "Topological data analysis reveals core heteroblastic and ontogenetic programs embedded in leaves of grapevine (Vitaceae) and maracuyá (Passifloraceae)." PLOS Computational Biology, vol. 20, no. 2, 2024, pp. e1011845. http://dx.doi.org/10.1371/journal.pcbi.1011845.
- Basu, Saugata, and Sarah Percival. "Efficient Computation of a Semi-Algebraic Basis of the First Homology Group of a Semi-Algebraic Set." Discrete & Computational Geometry, 2024. http://dx.doi.org/10.1007/s00454-024-00626-0.
- Palande, Sourabh, et al. "A data-driven evaluation of Arabidopsis-centric research and the model species concept." bioRxiv, 2023, Cold Spring Harbor Laboratory. https://www.biorxiv.org/content/early/2023/08/21/2023.08.20.554029.
- Chambers, Erin W., et al. "Bounding the Interleaving Distance for Geometric Graphs with a Loss Function." arXiv, 2023. https://arxiv.org/abs/2307.15130.
- Alvarado, Enrique, et al. "$G$-Mapper: Learning a Cover in the Mapper Construction." arXiv, 2023. https://arxiv.org/abs/2309.06634.
- Palande, Sourabh, et al. "Topological data analysis reveals a core gene expression backbone that defines form and function across flowering plants." PLOS Biology, vol. 21, no. 12, 2023, pp. e3002397. http://dx.doi.org/10.1371/journal.pbio.3002397.
- Marks, Rose A., et al. "Global Disparities in Plant Science: A Legacy of Colonialism, Patriarchy, and Exclusion." PNAS (in press), 2023, Cold Spring Harbor Laboratory, https://www.biorxiv.org/content/early/2022/10/18/2022.10.15.512190.
- Basu, Saugata, Nathanael Cox, and Sarah Percival. "On the Reeb Spaces of Definable Maps." Discrete and Computational Geometry, vol. 68, no. 2, 2022, pp. 372-405. https://doi.org/10.1007/s00454-022-00400-0.
- Adams, Henry Hugh, et al. "How to Tutorial-a-thon." Notices of the American Mathematical Society, vol. 68, no. 09, 2021, pp. 1. https://doi.org/10.1090/noti2349.
