| 2025 | Herbert Edelsbrunner, Alexey Garber, Morteza Saghafian: Order-2 Delaunay triangulations optimize angles. In: Advances in Mathematics, 461, 2025, 110055 |
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| 2025 | Alexey Garber: Voronoi conjecture for five-dimensional parallelohedra. In: Inventiones Mathematicae, 2025, |
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| 2024 | Dirk Frettlöh, Alexey Garber, Neil Mañibo: Catalan numbers as discrepancies for a family of substitutions on infinite alphabets. In: Indagationes Mathematicae, 35, 2024, 890--913 |
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| 2024 | Alexey Garber: On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices. In: Experimental Mathematics, 33, 2024, 86--99 |
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| 2024 | Dirk Frettlöh, Alexey Garber, Neil Mañibo: Substitution tilings with transcendental inflation factor. In: Discrete Analysis, 2024, |
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| 2024 | Esme Bajo, Robert Davis, Jesús A. De Loera, Alexey Garber, Sofía Garzón Mora, Katharina Jochemko, Josephine Yu: Weighted Ehrhart Theory: Extending Stanley's nonnegativity theorem. In: Advances in Mathematics, 444, 2024, 109627 |
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| 2022 | Dirk Frettlöh, Alexey Garber, and Lorenzo Sadun: Number of bounded distance equivalence classes in hulls of repetitive Delone sets. In: Discrete & Continuous Dynamical Systems, 42, 2022, 1403-1414 |
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| 2022 | Alexey Garber and Alexander Magazinov: On Voronoi’s conjecture for four- and five-dimensional parallelohedra. In: Russian Mathematical Surveys, 77, 2022, 174-176 |
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| 2020 | Garber, Alexey and Pak, Igor: Concrete polytopes may not tile the space. In: Mathematika, 66, 2020, 920--926 |
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| 2020 | Mathieu Dutour-Sikirić, Alexey Garber, Alexander Magazinov: On the Voronoi Conjecture for Combinatorially Voronoi Parallelohedra in Dimension 5. In: SIAM Journal on Discrete Mathematics, 34, 2020, 2481--2501 |
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| 2020 | Mathieu Dutour-Sikirić, Alexey Garber: Periodic Triangulations of $\mathbb{Z}^n$. In: The Electronic Journal of Combinatorics, 27, 2020, P2.36 |
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| 2018 | Igor A. Baburin, Mikhail Bouniaev, Nikolay Dolbilin, Nikolay Yu. Erokhovets, Alexey Garber, Sergey V. Krivovichev, Egon Schulte: On the origin of crystallinity: a lower bound for the regularity radius of Delone sets. In: Acta Crystallographica Section A Foundations and Advances, 74, 2018, 616--629 |
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| 2018 | Dirk Frettlöh and Alexey Garber: Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary. In: Indagationes Mathematicae, 29, 2018, 1114--1130 |
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| 2018 | Dirk Frettlöh and Alexey Garber: Weighted $1\times 1$ Cut-and-Project Sets in Bounded Distance to a Lattice. In: Discrete & Computational Geometry, 64, 2018, 649--661 |
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| 2017 | Alexey Garber: On $\pi$-Surfaces of Four-Dimensional Parallelohedra. In: Annals of Combinatorics, 21, 2017, 551--572 |
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| 2016 | Mathieu Dutour-Sikirić, Alexey Garber, Achill Schürmann, Clara Waldmann: The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices. In: Acta Crystallographica Section A Foundations and Advances, 72, 2016, 673--683 |
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| 2015 | A. Garber and A. Gavrilyuk and A. Magazinov: The Voronoi Conjecture for Parallelohedra with Simply Connected $\delta$-Surfaces. In: Discrete & Computational Geometry, 53, 2015, 245--260 |
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| 2013 | Alexey Garber: Belt diameter of $\Pi$-zonotopes. In: European Journal of Combinatorics, 34, 2013, 923--933 |
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