Research Statement (Nov. 23')
Papers:
I. Grayevsky, G. Pallier, Dehn functions: computations, lower bounds, and the quasiisometric rigidity of SOL_(5). Arxiv version.
I. Grayevsky and G. Pallier. Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups. Journal of the London Mathematical Society 113 (2026), no. 4, e70537. Journal, Arxiv.
I. Grayevsky,. Sublinear rigidity of lattices in semisimple Lie groups. Geom. Topo. (To appear, 2026) . Arxiv version.
MSc Thesis: Stabilizers of chambers in automorphism groups of right-angled buildings. Unpublished.
Talks:
Dehn functions of solvable Lie groups, University of Oxford, June 2026
Sublinear rigidity of lattices in semisimple Lie groups, Karlsruhe Institute of Techonolgy, Topology and Geometric Group Theory seminar, May 2023.
Sublinear rigidity of lattices in semisimple Lie groups, Yale University, Geometry and Topology seminar, April 2023.
Sublinear rigidity of lattices in semisimple Lie groups, Tel-Aviv University, Groups and Dynamics seminar, December 2022.
Sublinear rigidity of lattices in semisimple Lie groups, Building(s) in Aarhus in Aarhus, September 2022.
Teaching
In September 2026 I will give a mini-course in this summer school at the BICMR of Peking University. The course will be on sublinear bilipschitz equivalence classification of symmetric spaces and their lattices.