(the preprints have only arxiv links, the published papers have both the journal link and arxiv link and the content of those may differ)
Bounding the High Order Edge Expansion via High Order Radius, joint with Tali Kaufman, Arxiv link.
Simplicial complexes arising from elementary matrix groups and high dimensional expanders, joint with Tali Kaufman, Arxiv link.
High dimensional analogue of metric distortion for simplicial complexes, on hold due to major revisions in order to make the results accessible. Arxiv link.
Local Spectral Expansion Approach to High Dimensional Expanders Part II: Mixing and Geometrical overlapping, Discrete and Computational Geometry, in press, Arxiv link.
Non p-norm approximated Groups, joint with Alex Lubotzky, Journal d’Analyse Mathematique, in press, Arxiv link.
High order random walks: Beyond spectral gaps, joint with Tali Kaufman, Combinatorica, in press, 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”.