Publications

• 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, Published: 01-11-2025.

• 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, 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.