Papers

Published/Accepted papers

• Mirror Symmetry for Open r-Spin Invariants (with M. Gross and T. Kelly). Pure and Applied Mathematics Quarterly Vol. 20, No. 2 (2024), pp. 1005-1024.
• Intersection Theory on Moduli of disks, Open KdV and Virasoro (with R. Pandharipande and J. Solomon). Accepted to Geometry and Topology.
• Open r-Spin Theory II: The Analogue of Witten's Conjecture for r-Spin Disks (with A. Buryak and E. Clader). Accepted to Journal of Differential Geometry.
• Garland’s Method for Posets and High Dimensional Grassmannian Expanders (with T. Kaufman). Accepted to Israel Journal of Mathematics (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 (2019) no. 3, 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(2018), no. 4, 731-747.
• No Percolation in Low Temperature Spin Glass (with N. Berger).
  Electronic Journal of Probability 22 (2017), no.88,1--19.
• Refined Open Intersection Numbers and the Kontsevich-Penner Matrix Model (with
  A. Alexandrov and A. Buryak).
  Journal of High Energy Physics (2017) 2017:123.
• Matrix Models and a Proof of the Open Analog of Witten's Conjecture (with A. Buryak).
  Communications in Mathematical Physics 353 (2017), no. 3, 1299--1328.
• Isoperimetric Inequalities in Simplicial Complexes (with O. Parzanchevski and R. Rosenthal). Combinatorica, 36 (2016), no. 2,195--227.
• Majority Dynamics and the Retention of Information (with O. Tamuz).
  Israel Journal of Mathematics 206 (2015), no. 1, 483--507 .
• The Williams Bjerknes Model on Regular Trees (with O. Louidor and A. Vandenberg-Rodes). The Annals of Applied Probability 24 (2014), no. 5, 1889--1917.
• Harmonic Labelings of Graphs (with I. Benjamini, V. Cyr, E. Procaccia).
  Discrete Mathematics, 313(2013), no.17, 1726--1745.
• Optimal Incentives for Participation with Type-Dependent Externalities, (with M. Feldman and Y. Wilf). WINE (2009).

Preprints

• The Magic Number Conjecture for the m=2 Amplituhedron and Parke-Taylor Identities (with M. Parisi, M. Sherman-Bennett and L. Williams).
• A Cluster of Results on Amplituhedron Tiles (with C. Even-Zohar, T. Lakrec, M. Parisi, M. Sherman-Bennett and L. Williams).
• The Tropical Ampliuhedron (with E. Akhmedova).
• The Point Insertion Technique and Open r-Spin Theories II: Intersection Theories in Genus 0 (with Y. Zhao).
• 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.
• The Amplituhedron BCFW triangulation (with C. Even-Zohar and T. Lakrec). Submitted.
• Spectral analysis of word statistics (with C. Even-Zohar and T. Lakrec). 
• Geometry and dynamics in zero temperature statistical mechanics (MSc thesis). 

In preparation

• Open r-spin theory in genus 1, and the Gelfand-Dickey wave function (with Y. Zhao).
• Graded spin surfaces and the open Arf invariant (with J. Solomon).
• Open CP^1 descendent theory II: the open GW/H correspondence (with A. Buryak, R. Pandharipande and A. Netser-Zernik).
• Intersection theory on the moduli space of graded Riemann surfaces with boundary (with J. Solomon).