Publications

• The Grunwald problem and homogeneous spaces with non-solvable stabilisers, arXiv:2404.09874. With Elyes Boughattas.
• Polynomial compositions with large monodromy groups and applications to arithmetic dynamics, arXiv:2401.17872. With Joachim König and Shai Rosenberg.
• Monodromy groups of indecomposable coverings of bounded genus, arXiv:2403.17167. With Michael Zieve.
• Mondromy groups of product type, arXiv:2403.17168. With Michael Zieve.
• Reducible fibers of polynomial maps, IMRN (2024), 5373–5402, with Joachim König.
• Sylow-conjugate number fields,  Israel J. Math. 257 (2023), 465-480, with Alexander Lubotzky.
• The Hilbert-Grunwald specialization property over number fields, Israel J. Math. 257 (2023), 433-463, with Joachim König.
• Fields of definition for admissible groups, Albanian J. Math. 17 (2023), 81-92, with Uzi Vishne.
• The local dimension of a finite group over a number field, Trans. AMS. 375 (2022), 4783–4808, with Joachim König.
• Symmetric Galois groups under specialization, Israel J. Math. 248 (2022), 201-227, with Tali Monderer.
• Rational pullbacks of Galois covers,   Math. Z. 299 (2021), 1507-1531, with Pierre Dèbes, Joachim König, and Francois Legrand.
• On parametric and generic polynomials with one parameter, J. Pure and Applied Algebra 225 (2021), 106717, with Pierre Dèbes, Joachim König, and Francois Legrand.
• Polynomial values in Fibonacci sequences, Involve J. Math. 13-4 (2020), 597-605, with Adi Ostrov, Avi Berman, and Reyad A. Elrazik.
• On unramified extensions of low degree number fields, J. Number Theory 212 (2020), 72-87, arXiv:1901.03985. with Joachim König, and Jack Sonn.
• On the local behaviour of specializations of function field extensions,  IMRN (2019), no. 9, 2951–2980, arXiv:1709.03094, with Joachim König, and Francois Legrand.
• Almost regular dessins on a sphere and torus, Topology Appl. 243 (2018), 78-99,  arXiv:1709.06869,  with Joachim König, and Arielle Leitner.
• The admissibility of M11 over number fields, J. Pure and Applied Algebra 222 (2018), 2456-2464, with Joachim König. 
• Solvable covers with many points, preprint, with Michael Zieve.
• The Grunwald problem and approximation properties for homogenous spaces, Ann. Inst. Fourier, 67 (2017), no. 3., 1009–1033, arXiv:1512.06308, with Cyril Demarche, and Giancarlo Lucchini Arteche.
• Galois subfields of tame division algebras, Israel J. Math. (2016), 367-389, arXiv:1310.4436, with Timo Hanke, and Adrian Wadsworth.
• The Sylow subgroups of the absolute Galois group Gal(Q), Adv. in Math., 284 (2015), 186–212, arXiv:1403.3266, with Lior Bary-Soroker and Moshe Jarden.
• Noncrossed product bounds over Henselian fields, Algebra & Number theory Vol. 8 (2014), 837-855, arXiv:1209.0238, with Timo Hanke and Jack Sonn.
• Realizability and admissibility under extensions of p-adic and number fields, Documenta Math. 18 (2013) 359-382, arXiv:0911.3792, with Uzi Vishne.
• Tamely ramified subfields of division algebras J. Algebra, Vol. 378 (2013), 184-195, arXiv:0904.3772.
• Admissibility and field relations, Israel Journal of Mathematics, Vol. 19 (2012), 559-584, arXiv:0910.4156.
• On semiabelian p-groups, J. Algebra, Vol. 344 (2011), 60-69, arXiv:0908.1472.
• Patching and admissibility over two dimensional complete local domains, Algebra & Number theory, Vol. 4 (2010), No. 6, 743-762, arXiv:0910.4154, with Elad Paran.
• On the minimal ramification problem for semiabelian groups, Algebra & Number theory, Vol. 4-8 (2010), 1077-1090, arXiv:0912.1964, with Hershy Kisilevsky and Jack Sonn.

*The above preprints are local copies that may differ from final versions.

Other manuscripts:

• Ph.D. Thesis, Technion – Israel Institute of Technology, 2011.
• The following MFO reports contain brief reports on results appearing in the above papers and beyond them: No. 17/2018 (on Hilbert Irreducibility and Ritt decompositions), No. 25/2018 (on approximation and Grunwald problems), No. 12/2021 (on the exceptional set in Hilbert’s Irreducibility Theorem), No. 42/2023 (on large monodromy groups of polynomial compositions).
• This note closes a gap in the proof of Proposition 1.10 of the paper: Patching and admissibility over two dimensional complete local domains. It appears in Algebra and Number theory 5-2 (2011), 287-288.
• Admissibility and realizability over number fields. This manuscript is almost fully covered by my thesis.
• Rational pullbacks of Galois covers,  with Pierre Dèbes, Joachim König, and Francois Legrand. This manuscript is mostly contained in the above papers “Rational pullbacks of Galois covers” and “On parametric and generic polynomials with one parameter”.
• Reducible specializations of polynomials: The nonsolvable case, with Joachim König. This is an extended version of the manuscript “Reducible fibers of polynomial maps”.