Papers

Published/Accepted papers

• BCFW tilings and cluster adjacency for the amplituhedron (with C. Even-Zohar, T. Lakrec, M. Parisi, M. Sherman-Bennett and L. Williams). Proc. Natl. Acad. Sci. U.S.A. 122 (12)(2025).

• The Amplituhedron BCFW triangulation (with C. Even-Zohar and T. Lakrec). Invent. Math.  239, 1009–1138 (2025). 

• A Cluster of Results on Amplituhedron Tiles (with C. Even-Zohar, T. Lakrec, M. Parisi, M. Sherman-Bennett and L. Williams). Letters in Mathematical Physics 114, 111 (2024).

• Mirror Symmetry for Open r-Spin Invariants (with M. Gross and T. Kelly). Pure and Applied Mathematics Quarterly 20, no. 2 (2024): 1005-1024.

• Intersection Theory on Moduli of disks, Open KdV and Virasoro (with R. Pandharipande and J. Solomon). Geometry and Topology 28, no.6 (2024): 2483–2567.

• Open r-Spin Theory II: The Analogue of Witten's Conjecture for r-Spin Disks (with A. Buryak and E. Clader). Journal of Differential Geometry 128, no. 1 (2024): 1-75.

• Garland’s Method for Posets and High Dimensional Grassmannian Expanders (with T. Kaufman). Israel Journal of Mathematics 2025 (a journal version), Innovations of Theoretical Computer Science (ITCS) 2023 (a conference version).

• The Combinatorial Formula for Open Gravitational Descendents. Geometry and Topology 27, no. 7 (2023): 2497-2648. 

• Open r-Spin Theory III: A Prediction for Higher Genus (with A. Buryak and E. Clader) Journal of Geometry and Physics 192 (2023): 104960.

• Open CP^1 Descendent Theory I: The Stationary Sector (with A. Buryak, A. Netser-Zernik and R. Pandharipande). Advances in Mathematics 401 (2022): 108249.

• Spectral Analysis of Word Statistics-Extended Abstract (with C. Even-Zohar, T. Lakrec), The International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC) 2021. 

• Open r-Spin Theory I: Foundations (with A. Buryak and E. Clader). International Mathematics Research Notices (2021), rnaa345.

• New Cosystolic Expanders from Tensors Imply Explicit Quantum LDPC Codes with     Ω(√nlog^k(n)) Distance (with T. Kaufman). The ACM Symposium on Theory of Computing (STOC) 2021.

• Consistent High Dimensional Rounding with Side Information (with O. Dunkelman, Z. Geyzel, C. Keller, N. Keller, E. Ronen and A. Shamir). International Colloquium on Automata, Languages and Programming (ICALP) 2021.

• The 4-CB Algebra and Solvable Lattice Models (with V. Belavin, D. Gepner, J.R. Li). Journal of High Energy Physics 11 (2019) 155.

• A Sharp Threshold for Spanning 2-Spheres in Random 2-Complexes (with Z. Luria). Proceedings of the London Mathematical Society ,119 no. 3 (2019): 733-780.

• Closed Extended r-spin Theory (with Alexandr Buryak and Emily Clader).Journal of Geometry and Physics, 137 (2019): 132-153.

• Exact Maximum Entropy Estimates with Feynman Diagrams (with T. Schlank and A. Zernik). Journal of Statistical Physics, 170, no. 4 (2018): 731-747.

• No Percolation in Low Temperature Spin Glass (with N. Berger).Electronic Journal of Probability 22, no.88 (2017):1--19.

• Refined Open Intersection Numbers and the Kontsevich-Penner Matrix Model (withA. Alexandrov and A. Buryak).Journal of High Energy Physics (2017):123.

• Matrix Models and a Proof of the Open Analog of Witten's Conjecture (with A. Buryak).Communications in Mathematical Physics 353, no. 3 (2017): 1299--1328.

• Isoperimetric Inequalities in Simplicial Complexes (with O. Parzanchevski and R. Rosenthal). Combinatorica, 36, no. 2 (2016): 195--227.

• Majority Dynamics and the Retention of Information (with O. Tamuz).Israel Journal of Mathematics 206, no. 1 (2015): 483--507 .

• The Williams Bjerknes Model on Regular Trees (with O. Louidor and A. Vandenberg-Rodes). The Annals of Applied Probability 24, no. 5 (2014): 1889--1917.

• Harmonic Labelings of Graphs (with I. Benjamini, V. Cyr, E. Procaccia).Discrete Mathematics, 313, no.17 (2013): 1726--1745.

• Optimal Incentives for Participation with Type-Dependent Externalities, (with M. Feldman and Y. Wilf). WINE (2009).

Preprints

• Open Hurwitz numbers and the mKP hierarchy (with A. Buryak and M. Troshkin).
• No oscillating subradiant correlations in a strongly driven quantum emitter array (with J. Shi, N. Leppenen and A. Poddubny).
• Learning words in groups: fusion algebras, tensor ranks and grokking (with M. Shutman and O. Louidor).
• Plabic Tangles and Cluster Promotion Maps (with C. Even-Zohar, M. Parisi, M. Sherman-Bennett and L. Williams).
• The One-Loop Amplituhedron and its BCFW Tiling.
• The BCFW Tiling of the ABJM Amplituhedron (with M. Oren-Perlstein).
• The Magic Number Conjecture for the m=2 Amplituhedron and Parke-Taylor Identities (with M. Parisi, M. Sherman-Bennett and L. Williams). Submitted.
• The Tropical Ampliuhedron (with E. Akhmedova). Submitted.
• The Point Insertion Technique and Open r-Spin Theories II: Intersection Theories in Genus 0 (with Y. Zhao). Submitted.
• The Point Insertion Technique and Open r-Spin Theories I: Moduli and Orientation (with Y. Zhao). 
• Cluster Algebras and Tilings for the m=4 Amplituhedron (with C. Even-Zohar, T. Lakrec, M. Parisi, M. Sherman-Bennett and L. Williams). Submitted.
• Topological Expansion for Posets and the Homological k-Connectivity of Random q-Complexes (with E. Tzalik). Submitted.
• Open FJRW theory and Mirror symmetry (with M. Gross and T. Kelly). Submitted.
• Spectral analysis of word statistics (with C. Even-Zohar and T. Lakrec). Submitted.
• Geometry and dynamics in zero temperature statistical mechanics (MSc thesis).