Christopher D Fillmore

9 Publications

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[9]
2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Fillmore, Christopher D. “Braiding Geometry and Topology to Study Shapes and Data.” Institute of Science and Technology Austria, 2026. https://doi.org/10.15479/AT-ISTA-21021.
[Published Version] View | Files available | DOI
 
[8]
earlier version | 2026 | Draft | Preprint | IST-REx-ID: 21051 | OA
Chambers, Erin, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Braiding Vineyards.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2504.11203.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2026 | Published | Book Chapter | IST-REx-ID: 21056 | OA
Chambers, Erin W., Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Braiding Vineyards.” In Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, edited by Kasper Green Larsen and Barna Saha, 6240–63. Philadelphia, PA, United States: Society for Industrial and Applied Mathematics, 2026. https://doi.org/10.1137/1.9781611978971.225.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[6]
2026 | Published | Journal Article | IST-REx-ID: 21931 | OA
Edelsbrunner, Herbert, Christopher D Fillmore, and Goncalo Oliveira. “Counting Equilibria of the Electrostatic Potential.” Proceedings of the London Mathematical Society. Wiley, 2026. https://doi.org/10.1112/plms.70163.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[5]
earlier version | 2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
Edelsbrunner, Herbert, Christopher D Fillmore, and Gonçalo Olivera. “Counting Equilibria of the Electrostatic Potential.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2501.05315.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[4]
2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Chambers, Erin Wolf, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Burning or Collapsing the Medial Axis Is Unstable.” La Matematica. Springer Nature, 2025. https://doi.org/10.1007/s44007-025-00170-0.
[Published Version] View | Files available | DOI
 
[3]
2024 | Published | Conference Paper | IST-REx-ID: 17170 | OA
Attali, Dominique, Hana Kourimska, Christopher D Fillmore, Ishika Ghosh, André Lieutier, Elizabeth R Stephenson, and Mathijs Wintraecken. “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, 293:11:1-11:19. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. 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, Dominique, Hana Kourimska, Christopher D Fillmore, Ishika Ghosh, Andre Lieutier, Elizabeth R Stephenson, and Mathijs Wintraecken. “The Ultimate Frontier: An Optimality Construction for Homotopy Inference (Media Exposition).” In 40th International Symposium on Computational Geometry, Vol. 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. 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, Erin, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “A Cautionary Tale: Burning the Medial Axis Is Unstable.” In 38th International Symposium on Computational Geometry, edited by Xavier Goaoc and Michael Kerber, 224:66:1-66:9. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.SoCG.2022.66.
[Published Version] View | Files available | DOI
 
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9 Publications

Mark all

[9]
2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Fillmore, Christopher D. “Braiding Geometry and Topology to Study Shapes and Data.” Institute of Science and Technology Austria, 2026. https://doi.org/10.15479/AT-ISTA-21021.
[Published Version] View | Files available | DOI
 
[8]
earlier version | 2026 | Draft | Preprint | IST-REx-ID: 21051 | OA
Chambers, Erin, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Braiding Vineyards.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2504.11203.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2026 | Published | Book Chapter | IST-REx-ID: 21056 | OA
Chambers, Erin W., Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Braiding Vineyards.” In Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, edited by Kasper Green Larsen and Barna Saha, 6240–63. Philadelphia, PA, United States: Society for Industrial and Applied Mathematics, 2026. https://doi.org/10.1137/1.9781611978971.225.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[6]
2026 | Published | Journal Article | IST-REx-ID: 21931 | OA
Edelsbrunner, Herbert, Christopher D Fillmore, and Goncalo Oliveira. “Counting Equilibria of the Electrostatic Potential.” Proceedings of the London Mathematical Society. Wiley, 2026. https://doi.org/10.1112/plms.70163.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[5]
earlier version | 2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
Edelsbrunner, Herbert, Christopher D Fillmore, and Gonçalo Olivera. “Counting Equilibria of the Electrostatic Potential.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2501.05315.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[4]
2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Chambers, Erin Wolf, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Burning or Collapsing the Medial Axis Is Unstable.” La Matematica. Springer Nature, 2025. https://doi.org/10.1007/s44007-025-00170-0.
[Published Version] View | Files available | DOI
 
[3]
2024 | Published | Conference Paper | IST-REx-ID: 17170 | OA
Attali, Dominique, Hana Kourimska, Christopher D Fillmore, Ishika Ghosh, André Lieutier, Elizabeth R Stephenson, and Mathijs Wintraecken. “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, 293:11:1-11:19. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. 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, Dominique, Hana Kourimska, Christopher D Fillmore, Ishika Ghosh, Andre Lieutier, Elizabeth R Stephenson, and Mathijs Wintraecken. “The Ultimate Frontier: An Optimality Construction for Homotopy Inference (Media Exposition).” In 40th International Symposium on Computational Geometry, Vol. 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. 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, Erin, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “A Cautionary Tale: Burning the Medial Axis Is Unstable.” In 38th International Symposium on Computational Geometry, edited by Xavier Goaoc and Michael Kerber, 224:66:1-66:9. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.SoCG.2022.66.
[Published Version] View | Files available | DOI
 
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