List of Publications

• Measurable tilings by abelian group actions (with J. Grebik, V. Rozhon, T. Tao), submitted.
  
  
  
• Additive energies on discrete cubes (with J. de Dios, P. Ivanisvili, J. Madrid), submitted.
  
  
  
• Generalized Collatz maps with almost bounded orbits (with F. Gonçalves, J. Madrid), submitted.
  
   
  
• Undecidable translational tilings with only two tiles, or one nonabelian tile (with T. Tao), submitted.
  
   
  
• An uncountable ergodic Roth theorem and applications (with P. Durcik, A. Iseli, A. Jamneshan, J. Madrid), submitted.
  
   
  
• Decoupling for fractal subsets of the parabola (with A. Chang, J. de Dios, A. Jamneshan, Z. Li, J. Madrid), Mathematische Zeitschrift. [arXiv]
  
   
  
• The structure of translational tilings in ℤᵈ (with T. Tao) Discrete Analysis (2021):16, 28 pp.
  
   
  
• Spectrality of product domains and Fuglede's conjecture for convex polytopes (with N. Lev) Journal d'Analyse Mathematique, 140 (2020) 409-441. [arXiv]
  
  
  
• Fuglede's spectral set conjecture for convex polytopes (with N. Lev) Analysis & PDE, 10 (2017), 1497-1538. [arXiv]
  
  
  
• Spectrality and tiling by cylindric domains (with N. Lev) Journal of Functional Analysis, 271 (2016), 2808-2821. [arXiv]