Publications
- "Answers to questions of Grünbaum and Loewner", with K. Tatarko, V. Yaskin, pre-print.
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- "Stability of simplex slicing", with C. Tang, K. Tatarko, T. Tkocz, pre-print.
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- "How far apart can the projection of the centroid of a convex body and the centroid of its projection be?",
with K. Tatarko, V. Yaskin,
to appear in Mathematische Annalen.
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"Entropic exercises around the Kneser-Poulsen conjecture", with G. Aishwarya, I. Alam, D. Li, O. Zatarain-Vera.
Mathematika, Volume 69, Issue 3 (2023), 841-866.
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"Analytic Permutation Testing for Large Complex Datasets", with A. Kashlak, S. Spektor.
Journal of Computational and Graphical Statistics, 32 (2023), no.1, 294–303.
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"On some characterizations of convex polyhedra",
Journal d'Analyse Mathématique, 2023 (149), 239–249
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- "Unique determination of ellipsoids by their dual volumes", with K. Tatarko, V. Yaskin.
International Mathematics Research Notices, Volume 2022 (17), 13569–13589.
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"On recognizing shapes of polytopes from their shadows",
Journal of Discrete & Computational Geometry, 2019 (62), pp. 856--864.
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- "Grunbaum's Inequality for Sections", with M. Stephen, N. Zhang ,
Journal of Functional Analysis, 2018 (275), pp. 2616-2537.
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"On polytopes with congruent projections or sections", with D. Ryabogin,
Advances in Mathematics, 2018 (325), pp. 482-504.
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"Star bodies with completely symmetric sections", with C. Saroglou, D. Ryabogin,
International Mathematics Research Notices, Volume 2019, Issue 10, May 2019, pp. 3015-3031.
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"On a functional equation related to a pair of hedgehogs with congruent projections",
Journal of Mathematical Analysis and Applications, 2017 (445), pp. 1492-1504.
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"On the total curvature of curves in nonsymmetric Minkowski spaces" (in Russian), with A. Borisenko,
Reports of the National Academy of Sciences of Ukraine, 2014 (10), pp. 7-11.
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"On the flag curvature of 2-dimensional surfaces in 3-dimensional Randers spaces" (in Russian), with A. Borisenko,
Reports of the National Academy of Sciences of Ukraine, 2012 (11), pp. 7-14.
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