I am a Hermann-Weyl Instructor at ETH Zürich.
Before that, I was a PhD student at Tel Aviv University, under the supervision of Prof. Michael Krivelevich.
My research interests include probabilistic combinatorics and discrete probability.
Papers & Preprints
On the Performance of the Depth First Search Algorithm in Supercritical Random Graphs, Electronic Journal of Combinatorics 29(3), P3.64 (2022)
(with Michael Krivelevich)
Site Percolation on Pseudo-Random Graphs, Random Structures & Algorithms 63(2), 406-441 (2023)
(with Michael Krivelevich)
Supercritical Site Percolation on the Hypercube: Small Components are Small, Combinatorics, Probability and Computing 32(3), 422-427 (2023)
(with Michael Krivelevich)
Heavy and Light Paths and Hamilton Cycles, Information Processing Letters 182 (2023)
(with Dor Elboim)
On Vertex Ramsey Graphs with Forbidden Subgraph, Discrete Mathematics 347(3) (2024)
(with Ilay Hoshen, Michael Krivelevich, and Maksim Zhukovskii)
Percolation on Irregular High-dimensional Product Graphs, Combinatorics, Probability and Computing 33(3), 377-403 (2024)
(with Joshua Erde, Mihyun Kang, and Michael Krivelevich)
Isoperimetric Inequalities and Supercritical Percolation on High-dimensional Graphs, Combinatorica 44(4), 741-784 (2024)
(with Joshua Erde, Mihyun Kang, and Michael Krivelevich)
Expansion in Supercritical Random Subgraphs of Expanders and its Consequences, Random Structures & Algorithms 65(3), 576-600 (2024)
(with Michael Krivelevich)
Climbing up a random subgraph of the hypercube, Electronic Communications in Probability 29, paper no. 70, 1-13 (2024)
(with Michael Anastos, Dor Elboim, and Michael Krivelevich)
Percolation on High-dimensional Product Graphs, Random Structures & Algorithms 66(1), e21268 (2025)
(with Joshua Erde, Mihyun Kang, and Michael Krivelevich)
Long cycles in percolated expanders, Electronic Journal of Combinatorics 32(1), P1.8 (2025)
(with Maurício Collares, Joshua Erde, and Michael Krivelevich)
Minimum degree k and k-connectedness usually arrive together, Discrete Mathematics 348(6) (2025)
(with Anna Geisler)
A Jump of the Saturation Number in Random Graphs?, Random Structures & Algorithms 66(4), e70009 (2025)
(with Ilay Hoshen and Maksim Zhukovskii)
Components, large and small, as they should be II: supercritical percolation on regular graphs of constant degree , International Mathematics Research Notices (IMRN) 12, rnaf167 (2025)
(with Michael Krivelevich)
Tree tilings in random regular graphs, Extended abstract version in LIPIcs 334, ICALP (2025)
(with Ilay Hoshen and Maksim Zhukovskii)
Isoperimetry in product graphs, Electronic Journal of Combinatorics 32(3), P3.12 (2025)
(with Wojciech Samtoij)
Percolation through Isoperimetry, accepted to Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, arXiv version
(with Joshua Erde, Mihyun Kang, and Michael Krivelevich)
Saturation in Random Hypergraphs, accepted to Combinatorics, Probability and Computing, arXiv version
(with Ilay Hoshen, Daniel Korandi, Benny Sudakov, and Maksim Zhukovskii)
Hitting time of connectedness in the random hypercube process, arXiv version
(with Michael Krivelevich)
Perfect matching in product graphs and their random subgraphs, submitted, arXiv version
(with Anna Geisler)
Large matchings and nearly spanning, nearly regular subgraphs of random subgraphs, submitted, arXiv version
(with Joshua Erde, Mihyun Kang, and Michael Krivelevich)
Components, large and small, as they should be I: supercritical percolation on regular graphs of growing degree, submitted, arXiv version
(with Michael Krivelevich)
Universality of the matching number in percolated regular graphs, arxiv version
(with Mihyun Kang and Lyuben Lichev)
Nearly spanning cycle in the percolated hypercube, submitted, arxiv version
(with Michael Anastos, Joshua Erde, Mihyun Kang, Michael Krivelevich, and Lyuben Lichev)
Spanning trees of bounded degree in random geometric graphs, submitted, arxiv version
(with Michael Anastos, Dawid Ignasiak, Lyuben Lichev, and Yetong Sha)
A large hole in pseudo-random graphs, submitted, arxiv version
(with Michael Krivelevich, Itay Markbreit, and Maksim Zhukovskii)
Cycle lengths in the percolated hypercube, submitted, arxiv version
(with Michael Anastos, Joshua Erde, Mihyun Kang, Michael Krivelevich, and Lyuben Lichev)
Recent Talks
RSA conference, Austria, August 2025
Annual meeting of the IMU (probability session), Israel, September 2022
Combinatorics Afternoon Workshop, TU Graz, Austria, June 2025
(Not so) Informal Probability Seminar, TU Vienna, Austria, April 2025
TAU Combinatorics Research Seminar, TAU, Israel, March 2025
Research Seminar in Discrete Mathematics, Beijing Institute of Mathematical Sciences and Applications (BIMSA), China (online), February 2025
Horowitz seminar on Probability, Ergodic Theory and Dynamical Systems, TAU, Israel, December 2024
BIU Combinatorics Research Seminar, BIU, Israel, December 2024
HUJI Research Seminar in Convexity and Combinatorics, HUJI, Israel, November 2024
TU Graz Combinatorics research seminar, TU Graz, Austria, October 2024
Workshop "Probability Meets Combinatorics", ISTA, Austria, October 2024
MIT Probability Seminar, MIT, USA, September 2024
Princeton Discrete Mathematics Seminar, Princeton University, USA, September 2024
TAU Combinatorics Research Seminar, TAU, Israel, July 2024
British Combinatorial Conference, Queen Mary University of London, London, UK, July 2024
Seminar in Foundations of Computation, University of Sheffield, UK, June 2024
Banff Workshop on Bootstrap Percolation & its Applications, BIRS (online), April 2024
Technion Combinatorics Research Seminar, Technion, Israel, March 2024
TAU Combinatorics Research Seminar, TAU, Israel, February 2024
RSA conference, USA, June 2023
Institut für Diskrete Mathematik, TU Graz, Austria, April 2023
Workshop "Random Graphs: Combinatorics, Complex Networks and Disordered Systems", Mathematisches Forchungsintiut Oberwolfach (MFO), Oberwolfach, Germany, March 2023
TAU Combinatorics Research Seminar, TAU, Israel, November 2022
Annual meeting of the IMU (combinatorics session), Israel, September 2022
RSA conference, Poland, August 2022
HUJI Research Seminar in Convexity and Combinatorics, HUJI, Israel, May 2022
BIU Combinatorics Seminar, BIU, Israel, January 2022
Teaching (past & current)
Linear Algebra for Industrial Engineering, TAU, instructor, 2021 Fall, 2022 Fall, 2023 Fall
Linear Algebra for Mechanical Engineering, TAU, instructor, 2020 Fall, 2021 Spring, 2023 Spring
Basic Combinatorics, TAU, teaching assistant (grading), 2021 Spring, 2022 Spring, 2023 Spring, 2024 Spring
"Sawa" program: instruction and assistance for Arabic students in mathematical courses, TAU (together with the student's union), 2021 - 2025
Awards & Distinctions
PhD excellence award, School of Mathematical Sciences, TAU (2024)
BSF Prof. Rahamimoff Travel Grant for Young Scientists (T-2023202)
Oberwolfach Leibniz Graduate Students (OWLG) grant (2023)
Dean of Engineering's award for excellence in teaching: 2024 academic year, TAU
The 100 List of Outstanding Teachers: 2024 academic year, TAU
Rector's award for excellence in teaching: 2023 academic year, TAU
The 100 List of Outstanding Teachers: 2023 academic year, TAU
The 100 List of Outstanding Teachers: 2022 academic year, TAU
Elijoseph award for excellence in teaching, School of Mathematical Sciences, 2021 academic year, TAU
The 100 List of Outstanding Teachers: 2021 academic year, TAU