Christopher D Fillmore
9 Publications
earlier version | 2026 |
Draft |
Preprint |
IST-REx-ID: 21051 |
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. Braiding vineyards. arXiv. doi:10.48550/ARXIV.2504.11203
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| arXiv
2026 |
Published |
Book Chapter |
IST-REx-ID: 21056 |
Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. Braiding Vineyards. In: Green Larsen K, Saha B, eds. Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA, United States: Society for Industrial and Applied Mathematics; 2026:6240-6263. doi:10.1137/1.9781611978971.225
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| arXiv
2026 |
Published |
Thesis | PhD |
IST-REx-ID: 21021 |
Fillmore CD. Braiding geometry and topology to study shapes and data. 2026. doi:10.15479/AT-ISTA-21021
[Published Version]
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2026 |
Published |
Journal Article |
IST-REx-ID: 21931 |
Edelsbrunner H, Fillmore CD, Oliveira G. Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. 2026;132(5). doi:10.1112/plms.70163
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20260 |
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Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. Burning or collapsing the medial axis is unstable. La Matematica. 2025;4:811-828. doi:10.1007/s44007-025-00170-0
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earlier version | 2025 |
Draft |
Preprint |
IST-REx-ID: 21050 |
Edelsbrunner H, Fillmore CD, Olivera G. Counting equilibria of the electrostatic potential. arXiv. doi:10.48550/ARXIV.2501.05315
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 17170 |
Attali D, Kourimska H, Fillmore CD, et al. 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. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024:11:1-11:19. doi:10.4230/LIPIcs.SoCG.2024.11
[Published Version]
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 18097 |
Attali D, Kourimska H, Fillmore CD, et al. 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. doi:10.4230/LIPIcs.SoCG.2024.87
[Published Version]
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2022 |
Published |
Conference Paper |
IST-REx-ID: 11428 |
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. A cautionary tale: Burning the medial axis is unstable. In: Goaoc X, Kerber M, eds. 38th International Symposium on Computational Geometry. Vol 224. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022:66:1-66:9. doi:10.4230/LIPIcs.SoCG.2022.66
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Grants
9 Publications
earlier version | 2026 |
Draft |
Preprint |
IST-REx-ID: 21051 |
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. Braiding vineyards. arXiv. doi:10.48550/ARXIV.2504.11203
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2026 |
Published |
Book Chapter |
IST-REx-ID: 21056 |
Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. Braiding Vineyards. In: Green Larsen K, Saha B, eds. Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA, United States: Society for Industrial and Applied Mathematics; 2026:6240-6263. doi:10.1137/1.9781611978971.225
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2026 |
Published |
Thesis | PhD |
IST-REx-ID: 21021 |
Fillmore CD. Braiding geometry and topology to study shapes and data. 2026. doi:10.15479/AT-ISTA-21021
[Published Version]
View
| Files available
| DOI
2026 |
Published |
Journal Article |
IST-REx-ID: 21931 |
Edelsbrunner H, Fillmore CD, Oliveira G. Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. 2026;132(5). doi:10.1112/plms.70163
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20260 |
|
|
Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. Burning or collapsing the medial axis is unstable. La Matematica. 2025;4:811-828. doi:10.1007/s44007-025-00170-0
[Published Version]
View
| Files available
| DOI
earlier version | 2025 |
Draft |
Preprint |
IST-REx-ID: 21050 |
Edelsbrunner H, Fillmore CD, Olivera G. Counting equilibria of the electrostatic potential. arXiv. doi:10.48550/ARXIV.2501.05315
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 17170 |
Attali D, Kourimska H, Fillmore CD, et al. 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. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024:11:1-11:19. doi:10.4230/LIPIcs.SoCG.2024.11
[Published Version]
View
| Files available
| DOI
| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 18097 |
Attali D, Kourimska H, Fillmore CD, et al. 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. doi:10.4230/LIPIcs.SoCG.2024.87
[Published Version]
View
| Files available
| DOI
2022 |
Published |
Conference Paper |
IST-REx-ID: 11428 |
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. A cautionary tale: Burning the medial axis is unstable. In: Goaoc X, Kerber M, eds. 38th International Symposium on Computational Geometry. Vol 224. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022:66:1-66:9. doi:10.4230/LIPIcs.SoCG.2022.66
[Published Version]
View
| Files available
| DOI