Publications

Paran, E. & Nam Son, T. (2026). Images of polynomial maps and the Ax-Grothendieck theorem over algebraically closed division rings. Journal of Pure and Applied Algebra, 230(2). https://doi.org/10.1016/j.jpaa.2026.108186

Alon, G., Chapman, A., & Paran, E. (2025). On the geometry of zero sets of central quaternionic polynomials. II. Israel Journal of Mathematics. https://doi.org/10.1007/s11856-025-2879-y

Behajaina, A. & Paran, E. (2025). The Collatz map analogue in polynomial rings and in completions. Discrete Mathematics, 348(1). https://doi.org/10.1016/j.disc.2024.114273

Chapman, A. & Paran, E. (2025). Amitsur-Small rings. Journal of Algebra, 679, 86 - 95. https://doi.org/10.1016/j.jalgebra.2025.04.049

Paran, E. & Vo, T. N. (2025). Noether's normalization in skew polynomial rings. Journal of Pure and Applied Algebra, 229(11). https://doi.org/10.1016/j.jpaa.2025.108101

Paran, E. & Vo, T. N. (2025). A skew Newton–Puiseux Theorem. Israel Journal of Mathematics. https://doi.org/10.1007/s11856-025-2859-2

Alon, G. & Paran, E. (2024). On the geometry of zero sets of central quaternionic polynomials. Journal of Algebra, 659, 780 - 788. https://doi.org/10.1016/j.jalgebra.2024.07.019

Alon, G., Behajaina, A., & Paran, E. (2024). On the stopping time of the Collatz map in F2[x]. Finite Fields and their Applications, 99. https://doi.org/10.1016/j.ffa.2024.102473

Chapman, A. & Paran, E. (2024). Fixed points and orbits in skew polynomial rings. Journal of Algebra and its Applications, 23(8). https://doi.org/10.1142/S0219498824500786

Legrand, F. & Paran, E. (2024). LÜROTH’S AND IGUSA’S THEOREMS OVER DIVISION RINGS. Osaka Journal of Mathematics, 61(2), 261 - 274. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191234045

Paran, E. & Vo, T. N. (2024). Generic freeness of modules over non-commutative domains. Journal of Algebra, 641, 735 - 753. https://doi.org/10.1016/j.jalgebra.2023.11.033

Behajaina, A. & Paran, E. (2023). The Collatz problem in Fp[x] and Fp[[x]]. Finite Fields and their Applications, 91. https://doi.org/10.1016/j.ffa.2023.102265

Paran, E. (2023). Combinatorial Nullstellensatz over division rings. Journal of Algebraic Combinatorics, 58(3), 895 - 911. https://doi.org/10.1007/s10801-023-01263-1

Alon, G. & Paran, E. (2022). Completely prime one-sided ideals in skew polynomial rings. Glasgow Mathematical Journal, 64(1), 114 - 121. https://doi.org/10.1017/S0017089520000634

Alon, G. & Paran, E. (2021). A quaternionic Nullstellensatz. Journal of Pure and Applied Algebra, 225(4). https://doi.org/10.1016/j.jpaa.2020.106572

Alon, G. & Paran, E. (2021). A central quaternionic Nullstellensatz. Journal of Algebra, 574, 252 - 261. https://doi.org/10.1016/j.jalgebra.2021.01.018

Fehm, A., Haran, D., & Paran, E. (2021). The inverse galois problem over c(z). Contemporary Mathematics, 767, 115 - 123. https://doi.org/10.1090/conm/767/15401

Alon, G., Legrand, F., & Paran, E. (2020). Galois groups over rational function fields over skew fields. Comptes Rendus Mathematique, 358(7), 785 - 790. https://doi.org/10.5802/crmath.20

Paran, E. (2020). Twin-prime and Goldbach theorems for Z[[x]]. Journal of Number Theory, 213, 453 - 461. https://doi.org/10.1016/j.jnt.2019.12.019

Fehm, A., Legrand, F., & Paran, E. (2019). Embedding problems for automorphism groups of field extensions. Bulletin of the London Mathematical Society, 51(4), 732 - 744. https://doi.org/10.1112/blms.12270

Legrand, F. & Paran, E. (2018). Automorphism groups over Hilbertian fields. Journal of Algebra, 503, 1 - 7. https://doi.org/10.1016/j.jalgebra.2017.12.041

Fehm, A. & Paran, E. (2014). Split embedding problems over the open arithmetic disc. Transactions of the American Mathematical Society, 366(7), 3535 - 3551. https://doi.org/10.1090/S0002-9947-2014-05931-X

Fehm, A., Lev, N., & Paran, E. (2014). Algebraic Functions in the Wiener Algebra. Communications in Algebra, 42(9), 3969 - 3979. https://doi.org/10.1080/00927872.2013.799177

Bary-Soroker, L. & Paran, E. (2013). Fully Hilbertian fields. Israel Journal of Mathematics, 194(2), 507 - 538. https://doi.org/10.1007/s11856-012-0153-6

Bary-Soroker, L. & Paran, E. (2013). On totally ramified extensions of discrete valued fields. Arithmetic and Geometry Around Galois Theory, 371 - 376. https://doi.org/10.1007/978-3-0348-0487-5

Fehm, A. & Paran, E. (2013). Klein approximation and Hilbertian fields. Journal fur die Reine und Angewandte Mathematik, 2013(676), 213 - 225. https://doi.org/10.1515/crelle.2012.007

Jarden, M. & Paran, E. (2012). Galois theory over integral Tate algebras. New York Journal of Mathematics, 18, 373 - 387. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84875468230

Paran, E. (2012). Hilbertianity of fields of power series. Journal of the Institute of Mathematics of Jussieu, 11(2), 351 - 361. https://doi.org/10.1017/S1474748011000144

Fehm, A. & Paran, E. (2011). Non-ample complete valued fields. International Mathematics Research Notices, 2011(18), 4135 - 4146. https://doi.org/10.1093/imrn/rnq247

Fehm, A. & Paran, E. (2011). Galois theory over rings of arithmetic power series. Advances in Mathematics, 226(5), 4183 - 4197. https://doi.org/10.1016/j.aim.2010.11.010

Neftin, D. & Paran, E. (2011). Correction to a proof in the article Patching and admissibility over two-dimensional complete local domains. Algebra and Number Theory, 5(2), 287 - 288. https://doi.org/10.2140/ant.2011.5.287

Neftin, D. & Paran, E. (2010). Patching and admissibility over two-dimensional complete local domains. Algebra and Number Theory, 4(6), 743 - 762. https://doi.org/10.2140/ant.2010.4.743

Paran, E. (2010). Galois theory over complete local domains. Mathematische Annalen, 348(2), 395 - 413. https://doi.org/10.1007/s00208-010-0487-5

Paran, E. & Temkin, M. (2010). Power series over generalized Krull domains. Journal of Algebra, 323(2), 546 - 550. https://doi.org/10.1016/j.jalgebra.2009.08.011

Paran, E. (2009). Split embedding problems over function fields over complete domains. American Journal of Mathematics, 131(5), 1465 - 1483. https://doi.org/10.1353/ajm.0.0075

Paran, E. (2009). Split embedding problems over complete domains. Annals of Mathematics, 170(2), 899 - 914. https://doi.org/10.4007/annals.2009.170.899

Paran, E. (2008). Algebraic patching over complete domains. Israel Journal of Mathematics, 166, 185 - 219. https://doi.org/10.1007/s11856-008-1027-9