Publications

• The sharp bound on the distance between the centers of mass of a convex body and its boundary 

with D. Ryabogin, K. Tatarko, V. Yaskin

pre-print https://arxiv.org/abs/2611.11635

• On convex bodies with rotationally symmetric planar projections 

with C. Saroglou, D. Ryabogin,

pre-print https://arxiv.org/abs/2609.27192

• Area Minimization Among Group-Invariant Planar Convex Bodies of Constant Width 

with J. Falcó, 

pre-print https://arxiv.org/abs/2608.05125

• The spherical Grünbaum inequality

with D. Ryabogin, K. Tatarko, V. Yaskin, 

pre-print https://arxiv.org/abs/2607.16924

• On hyperbolic and functional analogues of questions of Grünbaum and Loewner 

with Y. Huang, K. Tatarko, V. Yaskin, 

pre-print https://arxiv.org/abs/2606.04482

• Flotation Rigidity for Convex Polytopes 

with S. Dann, O. Herscovici,

pre-print https://arxiv.org/abs/2605.09776

• Answers to questions of Grünbaum and Loewner 

with K. Tatarko, V. Yaskin, 

Advances in Mathematics, Volume 461, February 2025.

• Stability of simplex slicing 

with C. Tang, K. Tatarko, T. Tkocz, 

Journal of Discrete & Computational Geometry, Volume 76, pp. 491–507 (2026)

• 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, 

Mathematische Annalen, Volume 390, pp. 1155–1169 (2024)

• Entropic exercises around the Kneser-Poulsen conjecture 

with G. Aishwarya, I. Alam, D. Li, O. Zatarain-Vera,
Mathematika, Volume 69, Issue 3, 2023.

• Analytic Permutation Testing for Large Complex Datasets 

with A. Kashlak, S. Spektor,
Journal of Computational and Graphical Statistics, 32, no.1, 2023.

• On some characterizations of convex polyhedra,

Journal d'Analyse Mathématique, Volume 149, 2023.

• Unique determination of ellipsoids by their dual volumes 

with K. Tatarko, V. Yaskin.
International Mathematics Research Notices, Volume 17, 2022.

• On recognizing shapes of polytopes from their shadows 

Journal of Discrete & Computational Geometry, Volume 62, 2019.

• Grunbaum's Inequality for Sections 

with M. Stephen, N. Zhang, 

Journal of Functional Analysis, Volume 275, 2018.

• On polytopes with congruent projections or sections 

with D. Ryabogin, 

Advances in Mathematics, Volume 325, 2018.

• Star bodies with completely symmetric sections 

with C. Saroglou, D. Ryabogin,
International Mathematics Research Notices, Volume 2019, Issue 10, May 2019.

• On a functional equation related to a pair of hedgehogs with congruent projections
  Journal of Mathematical Analysis and Applications, Volume 445, 2017.

• On the total curvature of curves in nonsymmetric Minkowski spaces 

with A. Borisenko,
Reports of the National Academy of Sciences of Ukraine, Volume 10, 2014.

• On the flag curvature of 2-dimensional surfaces in 3-dimensional Randers spaces 

with A. Borisenko,
Reports of the National Academy of Sciences of Ukraine, Volume 11, 2012.