(the preprints have only arxiv links, the published papers have both the journal link and arxiv link and the content of those may differ)
High dimensional expansion implies amplified local testability, joint with Tali Kaufman, Arxiv link, submitted.
High dimensional analogue of metric distortion for simplicial complexes, on hold due to major revisions in order to make the results accessible. Arxiv link.
Garland’s method with Banach coefficients, Analysis & PDE, in press, Arxiv link.
Curvature criterion for vanishing of group cohomology, joint with Zohar Grinbaum-Reizis, Groups, Geometry and Dynamics, in press, Arxiv link.
High dimensional expanders and coset geometries, joint with Tali Kaufman, European Journal of Combinatorics, in press, Arxiv link.
Local Spectral Expansion Approach to High Dimensional Expanders Part II: Mixing and Geometrical overlapping, Discrete and Computational Geometry, 64 (2020), no. 3, 1023–1066, Journal link, Arxiv link.
Angle criteria for uniform convergence of averaged projections and cyclic or random products of projections, Israel Journal of Mathematics, Volume 223, issue 1, 2018, 343-362 . Journal link, Arxiv link
Property (T) for groups acting on simplicial complexes through taking an “average” of Laplacian eigenvalues, Groups, Geometry and Dynamics, Volume 9, Issue 4, 2015, pp. 1131–1152, Journal link, Arxiv link.
High order random walks: Beyond spectral gaps, joint with Tali Kaufman, Published in RANDOM (conference proceedings), RANDOM2018.
Contruction of new examples of high dimensional expanders, joint with Tali Kaufman, Published in STOC 2018 (conference proceedings), STOC2018.
Lecture notes of a course I gave on “Expander graphs and group theory”.
Slides for a talk on Fixed point spectrum of Random groups (Prepared for “Interactions between expanders, groups and operator algebras workshop”)