Publications of Lior Bary-Soroker

Papers in Journals

1. L. Bary-Soroker, Diamond theorem for a finitely generated free profinite group, Math. Ann., 336 (4), 949-961 (2006).
   arxiv, journal
2. L. Bary-Soroker and M. Jarden, PAC fields over finitely generated fields, Math. Z., 260 (2), 329-334 (2008).
   arxiv, journal
3. L. Bary-Soroker, On the characterization of Hilbertian fields, Int. Math. Res. Not., 2008 Art. ID rnn 089, 10 pp. (2008).
   arxiv, journal
4. L. Bary-Soroker, Dirichlet's theorem for polynomial rings, Proc. Amer. Math. Soc., 137, 73-83 (2009).
   arxiv, journal
5. L. Bary-Soroker, On pseudo algebraically closed extensions of fields, J. Algebra, 322 (6), 2082-2105 (2009).
   arxiv, jouranl
6. L. Bary-Soroker and D. Kelmer, On PAC extensions and scaled Trace forms, Israel J. Math., 175, (1), 113-124 (2010).
   arxiv, journal
7. L. Bary-Soroker, D. Haran, and D. Harbater, Permanence criteria for semi-free profinite groups, Math. Ann., 348 (3), 539-563 (2010).
   arxiv, journal
8. L. Bary-Soroker, Projective pairs of profinite groups, J. of Algebra, 324 (9), 2112-2128 (2010).
   arxiv, journal
9. 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
10. L. Bary-Soroker, K. Stevenson, and P. Zalesskii, Subgroups of profinite surface groups, Math. Res. Lett., 18 (3), 459-471 (2011).
    arxiv, journal
11. L. Bary-Soroker, Irreducible values of polynomials, Adv. Math., 229 (2), 854-874 (2012).
    arxiv, journal
12. L. Bary-Soroker, Irreducibility and embedding problems, J. Algebra, 357 26-33 (2012).
    arxiv, journal
13. 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
14. L. Bary-Soroker and M. Kumar, Subgroup structure of fundamental groups in positive characteristic, Comm. Algebra, 41 (9), (2013).
    arxiv, journal
15. L. Bary-Soroker and E. Paran, Fully Hilbertian fields, Israel J. Math., 194 (2), 507-538 (2013).
    arxiv, journal
16. L. Bary-Soroker and M. Jarden, On the Bateman-Horn conjecture about polynomial rings, Munster J. Math, 5, 41-58 (2012).
    arxiv, journal
17. L. Bary-Soroker and A. Fehm, Random Galois extensions of Hilbertian fields, J. The'or. Nombres Bordeaux, 24 (1), 31-42 (2013).
    arxiv, journal

Papers in refereed proceedings

1. L. Bary-Soroker and E. Paran, On totally ramified extensions of discrete valued fields.
2. L. Bary-Soroker and A. Fehm, Open problems in the theory of ample fields.

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).

Manuscripts

1. L. Bary-Soroker, A. Fehm, and G. Wiese, Hilbertian fields and Galois representations.
2. L. Bary-Soroker and A. Fehm, On fields of totally S-adic numbers.
3. E. Bank, L. Bary-Soroker, and L. Rosenzweig, Prime polynomials in short intervals over large finite fields.
4. L. Bary-Soroker, A. Fehm, and S. Petersen, On varieties of Hilbert type.

Others

1. L. Bary-Soroker, Hilbertianity under algebraic extensions and Haar measure, M.Sc. Thesis, Hebrew or English.
2. L. Bary-Soroker, Pseudo algebraically closed extensions, Ph. D. Thesis Hebrew or English.