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Research Group

Discrete Sets in Geometry - Publications by Type

Explore the scholarly works of the "Discrete Sets in Geometry" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.

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  • Publications of Samantha Fairchild

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Journal Articles

inJournal
2025 Repository Open Access
Claire Burrin, Samantha Fairchild and Jon Chaika

Pairs in discrete lattice orbits with applications to Veech surfaces

In: Journal of the European Mathematical Society, (2025)
BibTex DOI: 10.4171/JEMS/1563 ArXiv: 2211.14621 MiS Preprint
inJournal
2025 Journal Open Access
Wojciech Chachólski, Andrea Guidolin, Isaac Ren, Martina Scolamiero and Francesca Tombari

Koszul complexes and relative homological algebra of functors over posets

In: Foundations of computational mathematics, 25 (2025) 4, pp. 1121-1165
BibTex DOI: 10.1007/s10208-024-09660-z ArXiv: 2209.05923
inJournal
2025 Journal Open Access
Patrizio Frosini, Eloy Mósig García, Nicola Querioli and Francesca Tombari

Matching distance via the extended pareto grid

In: SIAM journal on applied algebra and geometry, 9 (2025) 3, pp. 554-576
BibTex DOI: 10.1137/24M1680398 ArXiv: 2312.04201
inJournal
2024 Journal Open Access
Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero and Elima Shehu

Average degree of the essential variety

In: La matematica, 3 (2024) 2, pp. 753-776
BibTex DOI: 10.1007/s44007-024-00106-0 ArXiv: 2212.01596 MiS Preprint Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Türkü Özlüm Celik, Samantha Fairchild and Yelena Mandelshtam

Crossing the transcendental divide : from translation surfaces to algebraic curves

In: Experimental mathematics, 33 (2024) 4, pp. 569-587
BibTex DOI: 10.1080/10586458.2023.2203413 ArXiv: 2211.00304 MiS Preprint Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
Jon Chaika and Samantha Fairchild

Shrinking rates of horizontal gaps for generic translation surfaces

In: Geometriae dedicata, 218 (2024) 6, p. 104
BibTex DOI: 10.1007/s10711-024-00953-9 ArXiv: 2207.03836 MiS Preprint
inJournal
2023 Repository Open Access
Jayadev S. Athreya, Samantha Fairchild and Howard Masur

Counting pairs of saddle connections

In: Advances in mathematics, 431 (2023), p. 109233
BibTex DOI: 10.1016/j.aim.2023.109233 ArXiv: 2201.08628 MiS Preprint

Preprints

Preprint
2025 Repository Open Access
Marta Casanellas, Jennifer Garbett, Roser Homs, Annachiara Korchmaros and Niharika Chakrabarty Paul

Computing phylogenetic invariants for time-reversible models : from TN93 to its submodels

BibTex ArXiv: 2505.20526
Preprint
2025 Repository Open Access
Elke Neuhaus, İrem Portakal and Niharika Chakrabarty Paul

Torus actions on matrix Schubert and Kazhdan-Lusztig varieties, and their links to statistical models

BibTex
Preprint
2024 Repository Open Access
Jane Ivy Coons, Heather A. Harrington and Niharika Chakrabarty Paul

Geometry of rational quasi-independence models as toric fiber products

BibTex ArXiv: 2405.13897
Preprint
2024 Repository Open Access
Samantha Fairchild and Ángel David Ríos Ortiz

Crossing the transcendental divide : from Schottky groups to algebraic curves

BibTex ArXiv: 2401.10801 MiS Preprint Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Lisbeth Fajstrup, Brittany Terese Fasy, Wenwen Li, Lydia Mezrag, Tatum Rask, Francesca Tombari and Živa Urbančič

Gromov-Hausdorff distance for directed spaces

BibTex ArXiv: 2408.14394
Preprint
2023 Repository Open Access
Samantha Fairchild and Jiyoung Han

Mean value theorems for the S-arithmetic primitive Siegel transforms

BibTex ArXiv: 2310.03459

Open Access Types

Journal Open Access
• Without article processing charges (diamond open access)
• With article processing charges (gold open access)
• In closed access journals with chargeable open access option (hybrid open access)

Repository Open Access
• Publications on a preprint server or on a free repository (green open access)