Christopher D Fillmore

9 Publications

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[9]
earlier version | 2026 | Draft | Preprint | IST-REx-ID: 21051 | OA
Chambers, E., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (n.d.). Braiding vineyards. arXiv. https://doi.org/10.48550/ARXIV.2504.11203
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[8]
2026 | Published | Book Chapter | IST-REx-ID: 21056 | OA
Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2026). Braiding Vineyards. In K. Green Larsen & B. Saha (Eds.), Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms (pp. 6240–6263). Philadelphia, PA, United States: Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611978971.225
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Fillmore, C. D. (2026). Braiding geometry and topology to study shapes and data. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-21021
[Published Version] View | Files available | DOI
 
[6]
2026 | Published | Journal Article | IST-REx-ID: 21931 | OA
Edelsbrunner, H., Fillmore, C. D., & Oliveira, G. (2026). Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.70163
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[5]
2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2025). Burning or collapsing the medial axis is unstable. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00170-0
[Published Version] View | Files available | DOI
 
[4]
earlier version | 2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
Edelsbrunner, H., Fillmore, C. D., & Olivera, G. (n.d.). Counting equilibria of the electrostatic potential. arXiv. https://doi.org/10.48550/ARXIV.2501.05315
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[3]
2024 | Published | Conference Paper | IST-REx-ID: 17170 | OA
Attali, D., Kourimska, H., Fillmore, C. D., Ghosh, I., Lieutier, A., Stephenson, E. R., & Wintraecken, M. (2024). Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds. In 40th International Symposium on Computational Geometry (Vol. 293, p. 11:1-11:19). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.11
[Published Version] View | Files available | DOI | arXiv
 
[2]
2024 | Published | Conference Paper | IST-REx-ID: 18097 | OA
Attali, D., Kourimska, H., Fillmore, C. D., Ghosh, I., Lieutier, A., Stephenson, E. R., & Wintraecken, M. (2024). The ultimate frontier: An optimality construction for homotopy inference (media exposition). In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.87
[Published Version] View | Files available | DOI
 
[1]
2022 | Published | Conference Paper | IST-REx-ID: 11428 | OA
Chambers, E., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2022). A cautionary tale: Burning the medial axis is unstable. In X. Goaoc & M. Kerber (Eds.), 38th International Symposium on Computational Geometry (Vol. 224, p. 66:1-66:9). Berlin, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2022.66
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9 Publications

Mark all

[9]
earlier version | 2026 | Draft | Preprint | IST-REx-ID: 21051 | OA
Chambers, E., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (n.d.). Braiding vineyards. arXiv. https://doi.org/10.48550/ARXIV.2504.11203
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[8]
2026 | Published | Book Chapter | IST-REx-ID: 21056 | OA
Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2026). Braiding Vineyards. In K. Green Larsen & B. Saha (Eds.), Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms (pp. 6240–6263). Philadelphia, PA, United States: Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611978971.225
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Fillmore, C. D. (2026). Braiding geometry and topology to study shapes and data. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-21021
[Published Version] View | Files available | DOI
 
[6]
2026 | Published | Journal Article | IST-REx-ID: 21931 | OA
Edelsbrunner, H., Fillmore, C. D., & Oliveira, G. (2026). Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.70163
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[5]
2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2025). Burning or collapsing the medial axis is unstable. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00170-0
[Published Version] View | Files available | DOI
 
[4]
earlier version | 2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
Edelsbrunner, H., Fillmore, C. D., & Olivera, G. (n.d.). Counting equilibria of the electrostatic potential. arXiv. https://doi.org/10.48550/ARXIV.2501.05315
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[3]
2024 | Published | Conference Paper | IST-REx-ID: 17170 | OA
Attali, D., Kourimska, H., Fillmore, C. D., Ghosh, I., Lieutier, A., Stephenson, E. R., & Wintraecken, M. (2024). Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds. In 40th International Symposium on Computational Geometry (Vol. 293, p. 11:1-11:19). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.11
[Published Version] View | Files available | DOI | arXiv
 
[2]
2024 | Published | Conference Paper | IST-REx-ID: 18097 | OA
Attali, D., Kourimska, H., Fillmore, C. D., Ghosh, I., Lieutier, A., Stephenson, E. R., & Wintraecken, M. (2024). The ultimate frontier: An optimality construction for homotopy inference (media exposition). In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.87
[Published Version] View | Files available | DOI
 
[1]
2022 | Published | Conference Paper | IST-REx-ID: 11428 | OA
Chambers, E., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2022). A cautionary tale: Burning the medial axis is unstable. In X. Goaoc & M. Kerber (Eds.), 38th International Symposium on Computational Geometry (Vol. 224, p. 66:1-66:9). Berlin, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2022.66
[Published Version] View | Files available | DOI
 
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