Strona główna Praca badawcza Dydaktyka




Tematyka badań:

  • algebra

  • różniczkowa teoria Galois

  • Hipoteza Jakobianowa

Publikacje:

  • E. Adamus, On the differential transcendentality of the Morita p-adic gamma function. European Journal of Mathematics 9, 7 (2023) https://doi.org/10.1007/s40879-023-00602-7
    pełny tekst

  • E. Adamus, P. Bogdan, Algorithm for studying polynomial maps and reductions modulo prime number, Journal of Symbolic Computation, 112 (2022) 1–24, DOI: 10.1016/j.jsc.2021.12.001

  • E. Adamus, T. Crespo, Z. Hajto, Jacobian Conjecture via differential Galois theory, Symmetry Integrability and Geometry-Methods and Applications, 15 (2019), 034, 7 pages, DOI: 10.3842/SIGMA.2019.034

  • E. Adamus, P. Bogdan, T. Crespo, Z. Hajto, Pascal finite polynomial automorphisms, Journal of Algebra and Its Applications, Vol. 18, No. 7 (2019), DOI: 10.1142/S021949881950124X

  • E. Adamus, P. Bogdan, Z. Hajto, An effective approach to Picard-Vessiot theory and the Jacobian Conjecture, Schedae Informaticae, 2017, vol. 26, s. 49–59., DOI: 10.4467/20838476SI.17.004.8150

  • E. Adamus, P. Bogdan, T. Crespo and Z. Hajto, An effective study of polynomial maps, Journal of Algebra and Its Applications, Vol. 16, No. 8 (2017), DOI: 10.1142/S0219498817501419

  • T. Crespo, Z. Hajto, E. Sowa-Adamus, Galois correspondence theorem for Picard-Vessiot extensions, Arnold Mathematical Journal, (2016) 2 : 21-27, DOI 10.1007/s40598-015-0029-z

  • T. Crespo, Z. Hajto, E. Sowa, Picard-Vessiot theory for real fields, Israel Journal of Mathematics, 198 (2013), pp.75-89, DOI: 10.1007/s11856-013-0015-x

  • T. Crespo, Z. Hajto, E. Sowa, Constrained extensions of real type, Comptes Rendus Mathematique, No. 350, pp. 235-237, 2012

  • B. Kocel-Cynk, E. Sowa, On the problem of Baer and Kolchin in the Picard- Vessiot theory,
    Banach Center Publications, No. 94, pp. 215-220, 2011 Instytut Matematyki Polskiej Akademii Nauk

  • E. Sowa, Picard-Vessiot extensions for real fields, Proceedings of American Mathematical Society, Vol. 139, No.7, pp. 2407-2413, 2011
Preprinty:

  • T. Crespo, Z. Hajto, E. Sowa, Picard-Vessiot theory for real fields, Instytut Matematyki Polskiej Akademii Nauk, Preprint 732, 2011, http://www.impan.pl/Preprints/

  • T. Crespo, E. Sowa, Quadratic fields and public key cryptography, preprint, Institut de Matematica, Universitat de Barcelona, 2008