Alexey BALITSKIY

Alexey BALITSKIY is a Postdoctoral Researcher at the Department of Mathematics within the Faculty of Science, Technology and Medicine (FSTM) at the University of Luxembourg. His research focuses on geometric analysis, topology, and convex geometry, with particular attention to systolic inequalities, geometric bounds, and billiard dynamics. He explores topics such as Urysohn width, waist inequalities, and symplectic geometry, contributing to both theoretical advancements and applications in geometric optimization.

His work often bridges pure mathematics with computational approaches, addressing problems in geometric measure theory, metric embeddings, and discrete geometry. Notable contributions include generalizations of classical plank inequalities and studies on equality cases in conjectures like Viterbo’s and Mahler’s. Alexey’s research is disseminated through high-impact journals such as the Journal of Topology and Analysis and collaborations on topics like flip cycles in plabic graphs and geometric complexity of planar drawings.

Alexey’s publications reflect a strong focus on geometric inequalities, with recent work emphasizing codimension 2 width estimates, systolic vertex counting, and multi-plank generalizations. His work often intersects with symplectic geometry, convex billiards, and computational topology, demonstrating interdisciplinary reach. Despite no listed awards or grants, his prolific output since 2016 highlights sustained academic engagement and innovation in geometric analysis.