Lior Bary-Soroker
Professor of Mathematics at the School of Mathematical Sciences
Tel Aviv University

Publications

Papers in Journals

  1. L. Bary-Soroker, O. Ben-Porath, V. Matei, Probabilistic Galois Theory -- The Square Discriminant Case.
    Bull. Lond. Math. Soc., in press, arXiv:2207.12493
  2. L. Bary-Soroker, A. Entin, E. McKemmie, Random Additive Polynomials.
    Trans. Amer. Math. Soc. 377 (2024), 2231--2259, Journal, arXiv:2304.13709
  3. L. Bary-Soroker, A. Fehm, and S. Petersen, Ramified covers of abelian varieties over torsion fields .
    J. Reine Angew. Math. (Crelle), 805, 185--211 (2023). Journal, arXiv:2206.01582
  4. L. Bary-Soroker, D. Koukoulopoulos, and G. Kozma, Irreducibility of random polynomials: general measures .
    Invent. Math., 223, 1041--1120 (2023). arXiv:2007.14567, journal.
  5. L. Bary-Soroker, A. Entin, and A. Fehm, The minimal ramification problem for rational function fields over finite fields .
    Int. Math. Res. Not., rnac370, journal, arXiv:2106.09126
  6. L. Bary-Soroker, D. Garzoni, Hilbert's irreducibility theorem via random walks.
    Int. Math. Res. Not., 2022;, rnac188, journal, arXiv:2202.05010
  7. L. Bary-Soroker and O. -Porath, On the Galois Theory of Generalized Laguerre Polynomials and Trimmed Exponential.
    Acta Arith., 200(2), 183-196 (2021). journal, arXiv:2008.05165
  8. L. Bary-Soroker and A. Entin, Explicit Hilbert's Irreducibility Theorem in Function Fields.
    AMS Contemporary Math., 767, 125–134 (2021).
    arXiv:1912.05162.
  9. L. Bary-Soroker and Gady Kozma, Irreducible polynomials of bounded height,
    Duke Math J., 169 (4), 579-598 (2020)
    arXiv, journal
  10. L. Bary-Soroker, Ofir Gorodetsky, Tai-Lin Karidi, and Will Sawin, Chebotarev Density Theorem in Short Intervals for Extensions of F_q (T),
    Trans. Amer. Math. Soc. 373 (1), 597–628 (2020)
    arXiv, journal
  11. L. Bary-Soroker and Patrick Meisner, On the distribution of the rational points on cyclic covers in the absence of roots of unity, Mathematika, 65 (3), 719-742 (2019)
    arXiv, journal
  12. L. Bary-Soroker and F. Legrand, On the number of ramified primes is specializations of function fields over Q,
    New York J. Math, 24, 1004-1019 (2018)
    arXiv, journal
  13. L. Bary-Soroker and Tomer M. Schlank, Sieves and the Minimal Ramification Problem,
    J. Inst. Math. Jussieu, 19 (3), 919-945 (2020)
    arXiv, journal
  14. L. Bary-Soroker and Jakob Stix, Cubic twin prime polynomials are counted by modular form, Canad. J. Math. 71 (6), 1323-1350 (2019)
    arXiv, Journal
  15. L. Bary-Soroker and Ofir Gorodetsky, Roots of Polynomials and The Derangement Problem, Amer. Math. Monthly 125 (10), 934-938 (2018)
    arXiv
  16. L. Bary-Soroker, W.-D. Geyer, and M. Jarden, Morphisms of varieties over ample fields, Bull. Korean Math. Soc. 55 (4), 1023-1035 (2018),
    paper
  17. L. Bary-Soroker, M. Shusterman, and U. Zannier, Totally real subextensions, an appendix to Rel leaves of the Arnoux-Yoccoz surfaces by W. P. Hooper and B. Weiss, Selecta Math. 24 (2), 875-934 (2018)
    arXiv, journal
  18. L. Bary-Soroker and A. Fehm, Correlations of sums of two squares and other arithmetic functions in function fields, Int. Math. Res. Not., rnx250, https://doi.org/10.1093/imrn/rnx250
    arXiv, journal
  19. E. Bank, L. Bary-Soroker, and A. Fehm, Sums of two squares in short intervals in polynomial rings over finite fields
    Am. J. Math. 140 (4), 1113-1131 (2018),
    arXiv
  20. L. Bary-Soroker, Prime Polynomials in Function Fields,
    Snapshots of modern mathematics, MFO, No. 10/2016
    journal
  21. L. Bary-Soroker and Gady Kozma, Is a bivariate polynomial with plus minus 1 coefficients irreducible? Very likely! Int. J. Number Theory 13 (04), 933-936 (2017)
    arXiv, journal
  22. L. Bary-Soroker, Y. Smilansky, A. Wolf, On the Function Field Analogue of Landau's Theorem on Sums of Squares, Finite Fields Appl. 39 (2016) 195-215.
    arXiv, journal
  23. L. Bary-Soroker, M. Jarden, and D. Neftin, The Sylow subgroups of the absolute Galois group Gal(Q), Adv. Math. 284 (2015), 186-212.
    arXiv, journal
  24. E. Bank and L. Bary-Soroker, Prime polynomial values of linear functions in short intervals, J. Number Theory 151 (2015), 263-275.
    arXiv, journal
  25. J. C. Andrade, L. Bary-Soroker, and Z. Rudnick, Shifted convolution and the Titchmarsh divisor problem over F_q[t], Philos. Trans. A 373 (2015), no. 2040, 20140308, 18 pp.
    arXiv, journal
  26. E. Bank, L. Bary-Soroker, and L. Rosenzweig, Prime polynomials in short intervals over large finite fields, Duke Math. J. 164 (2015), no. 2, 277-295.
    arXiv, journal
  27. L. Bary-Soroker, A. Fehm, and S. Petersen, On varieties of Hilbert type, Ann. Inst. Fourier (Grenoble) 64 (2014), no. 5, 1893-1901.
    arXiv, journal
  28. L. Bary-Soroker, A. Fehm, and G. Wiese, Hilbertian fields and Galois representations, J. Reine Angew. Math., DOI 10.1515/crelle-2013-0116.
    arXiv, journal
  29. L. Bary-Soroker and A. Fehm, Random Galois extensions of Hilbertian fields, J. The'or. Nombres Bordeaux, 24 (1), 31-42 (2013).
    arXiv, journal
  30. L. Bary-Soroker and M. Jarden, On the Bateman-Horn conjecture about polynomial rings, Munster J. Math, 5, 41-58 (2012).
    arXiv, journal
  31. L. Bary-Soroker and E. Paran, Fully Hilbertian fields, Israel J. Math., 194 (2), 507-538 (2013).
    arXiv, journal
  32. L. Bary-Soroker and M. Kumar, Subgroup structure of fundamental groups in positive characteristic, Comm. Algebra, 41 (9), (2013).
    arXiv, journal
  33. L. Bary-Soroker, Hardy-Littlewood tuple conjecture over large finite fields, Int. Math. Res. Not., 2012, Art. ID rns 249, 8 pp. (2012).
    arXiv, journal
  34. L. Bary-Soroker, Irreducibility and embedding problems, J. Algebra, 357 26-33 (2012).
    arXiv, journal
  35. L. Bary-Soroker, Irreducible values of polynomials, Adv. Math., 229 (2), 854-874 (2012).
    arXiv, journal
  36. L. Bary-Soroker, K. Stevenson, and P. Zalesskii, Subgroups of profinite surface groups, Math. Res. Lett., 18 (3), 459-471 (2011).
    arXiv, journal
  37. L. Bary-Soroker and N. D. Tan, On p-embedding problems in characteristic p, J. Pure Appl. Algebra, 215 (10), 2533-2537 (2011).
    arXiv, journal
  38. L. Bary-Soroker, Projective pairs of profinite groups, J. of Algebra, 324 (9), 2112-2128 (2010).
    arXiv, journal
  39. L. Bary-Soroker, D. Haran, and D. Harbater, Permanence criteria for semi-free profinite groups, Math. Ann., 348 (3), 539-563 (2010).
    arXiv, journal
  40. L. Bary-Soroker and D. Kelmer, On PAC extensions and scaled Trace forms, Israel J. Math., 175 (1), 113-124 (2010).
    arXiv, journal
  41. L. Bary-Soroker, On pseudo algebraically closed extensions of fields, J. Algebra, 322 (6), 2082-2105 (2009).
    arXiv, journal
  42. L. Bary-Soroker, Dirichlet's theorem for polynomial rings, Proc. Amer. Math. Soc., 137, 73-83 (2009).
    arXiv, journal
  43. L. Bary-Soroker, On the characterization of Hilbertian fields, Int. Math. Res. Not., 2008 Art. ID rnn 089, 10 pp. (2008).
    arXiv, journal
  44. L. Bary-Soroker and M. Jarden, PAC fields over finitely generated fields, Math. Z., 260 (2), 329-334 (2008).
    arXiv, journal
  45. L. Bary-Soroker, Diamond theorem for a finitely generated free profinite group, Math. Ann., 336 (4), 949-961 (2006).
    arXiv, journal

Manuscripts

  1. L. Bary-Soroker, D. Hokken, G. Kozma, B. Poonen, Irreducibility of Littlewood polynomials of special degrees.
    arXiv:2308.04878
  2. L. Bary-Soroker, N. Goldgraber, Product Sets of Arithmetic Progressions in Function Fields.
    arXiv:2309.05046
  3. L. Bary-Soroker, A. Fehm, S. Petersen, Hilbert properties under base change in small extensions.
    arXiv:2312.16219

Books

  1. S. Arias-de-Reyna, L. Bary-Soroker, and G. Wiese (Eds), Winter School on Galois Theory Volume 2: Luxembourg 2012, Travaux mathe'matiques 23, 222 pp.
  2. S. Arias-de-Reyna, L. Bary-Soroker, and G. Wiese (Eds), Winter School on Galois Theory Volume 1: Luxembourg 2012, Travaux mathe'matiques 22, 238 pp.

Papers in refereed proceedings

  1. L. Bary-Soroker and A. Fehm, On fields of totally S-adic numbers, Valuation theory in interaction, 11-15, EMS Ser. Congr. Rep., Eur. Math. Soc., Zurich, 2014.
  2. L. Bary-Soroker and A. Fehm, Open problems in the theory of ample fields, Geometric and differential Galois theories, 1-11, Semin. Congr., 27, Soc. Math. France, Paris, 2013.
  3. L. Bary-Soroker and E. Paran, On totally ramified extensions of discrete valued fields,Arithmetic and geometry around Galois theory, 371-376, Progr. Math., 304, Birkhauser/Springer, Basel, 2013.

Papers in refereed educational journals

  1. L. Bary-Soroker and E. Leher, On the remainder in the Taylor theorem , The College Mathematics Journal, Volume 40, Number 5, November 2009, pp. 373-374(2).

Other

  1. L. Bary-Soroker, A. Fehm, D. Haran, Foreword to a special volume on the Israel Journal of Mathematics dedicated to Moshe Jardein on the occasion of his 80th birthday.
    Israel J. Math., 257 (1), v--vi (2023). Journal.
  2. Letter to Bjorn Poonen, September 16, 2013
  3. L. Bary-Soroker, Pseudo algebraically closed extensions, Ph. D. Thesis Hebrew or English.
  4. L. Bary-Soroker, Hilbertianity under algebraic extensions and Haar measure, M.Sc. Thesis, Hebrew or English.