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, 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. 2026.Braiding Vineyards. In: Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms. , 6240–6263.
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| arXiv
2026 |
Published |
Thesis | PhD |
IST-REx-ID: 21021 |
Fillmore CD. 2026. Braiding geometry and topology to study shapes and data. Institute of Science and Technology Austria.
[Published Version]
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2026 |
Published |
Journal Article |
IST-REx-ID: 21931 |
Edelsbrunner H, Fillmore CD, Oliveira G. 2026. Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. 132(5), e70163.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20260 |
|
|
Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. 2025. Burning or collapsing the medial axis is unstable. La Matematica. 4, 811–828.
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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, 2501.05315.
[Preprint]
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 17170 |
Attali D, Kourimska H, Fillmore CD, Ghosh I, Lieutier A, Stephenson ER, 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. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 11:1-11:19.
[Published Version]
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 18097 |
Attali D, Kourimska H, Fillmore CD, Ghosh I, Lieutier A, Stephenson ER, Wintraecken M. 2024. The ultimate frontier: An optimality construction for homotopy inference (media exposition). 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 87.
[Published Version]
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2022 |
Published |
Conference Paper |
IST-REx-ID: 11428 |
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. 2022. A cautionary tale: Burning the medial axis is unstable. 38th International Symposium on Computational Geometry. SoCG: Symposium on Computational GeometryLIPIcs vol. 224, 66:1-66:9.
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9 Publications
earlier version | 2026 |
Draft |
Preprint |
IST-REx-ID: 21051 |
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. Braiding vineyards. arXiv, 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. 2026.Braiding Vineyards. In: Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms. , 6240–6263.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2026 |
Published |
Thesis | PhD |
IST-REx-ID: 21021 |
Fillmore CD. 2026. Braiding geometry and topology to study shapes and data. Institute of Science and Technology Austria.
[Published Version]
View
| Files available
| DOI
2026 |
Published |
Journal Article |
IST-REx-ID: 21931 |
Edelsbrunner H, Fillmore CD, Oliveira G. 2026. Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. 132(5), e70163.
[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. 2025. Burning or collapsing the medial axis is unstable. La Matematica. 4, 811–828.
[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, 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, Ghosh I, Lieutier A, Stephenson ER, 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. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 11:1-11:19.
[Published Version]
View
| Files available
| DOI
| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 18097 |
Attali D, Kourimska H, Fillmore CD, Ghosh I, Lieutier A, Stephenson ER, Wintraecken M. 2024. The ultimate frontier: An optimality construction for homotopy inference (media exposition). 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 87.
[Published Version]
View
| Files available
| DOI
2022 |
Published |
Conference Paper |
IST-REx-ID: 11428 |
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. 2022. A cautionary tale: Burning the medial axis is unstable. 38th International Symposium on Computational Geometry. SoCG: Symposium on Computational GeometryLIPIcs vol. 224, 66:1-66:9.
[Published Version]
View
| Files available
| DOI