My research primarily focuses on Algebraic Number Theory. The following are my current research areas :
Theme 1: Capitulation problem of p-ideal classes in algebraic number fields.
Theme 2: Towers of Hilbert p-class fields over algebraic number fields.
Theme 3: Structure and coclass of p-class groups of algebraic number fields.
Theme 4: Invariant class groups of Kummer extensions.
Theme 5: Principal factors and lattice minima in p-cyclic extensions.
My contributions have been published in several prestigious international journals. Below are my recent publications and preprints, along with their corresponding projects:
Moulay Ismail University (UMI):
[10] S. Aouissi et D. C. Mayer.
Title: Coclass of the second 3-class group. (Theme 3)
Boletin de la Sociedad Matematica Mexicana Journal (2025).
🗓️ Accepted: August 2025 ✔️ Submitted: May 2025
[9] S. Aouissi et D. C. Mayer.
Title: The capitulation problem in certain pure cubic fields. (Themes 1 and 2)
Annales Mathématiques du Québec Journal.
🗓️ Published online in September 2025 ✔️ Submitted in June 2023
[8] S. Aouissi et D. C. Mayer.
Title: Group theoretic approach to cyclic cubic fields. (Themes 1, 2, and 3)
Mathematics Journal. Volume 12, Issue. 01, Article number:126. pp. 1-52
🗓️ Published online in January 2024 ✔️ Submitted in October 2023
[7] S. Aouissi, A. Azizi, M.C. Ismaili, D. C. Mayer, et M. Talbi.
Title: Structure of relative genus fields of cubic Kummer extensions. (Themes 4 and 5)
Boletin de la Sociedad Mathematica Mexicana Journal. Volume 29, Issue. 03, Article number: 81. pp. 1-27.
🗓️ Published online in November 2023 ✔️ Submitted in December 2021
[6] S. Aouissi, A. Azizi, M.C. Ismaili, D. C. Mayer, et M. Talbi.
Title: Principal factors and lattice minima in cubic fields. (Theme 5)
Kyushu Journal of Mathematics. Volume 76, Issue 01, pp. 101-118.
🗓️ Published online in February 2022 ✔️ Submitted in January 2021
[5] S. Aouissi, M. Talbi, D. C. Mayer, et M.C. Ismaili.
Title: 3-Principalization over S_3-fields. (Themes 1 and 2)
Turkish Journal of Mathematics. Volume 45, No. 05, pp. 2225-2247.
🗓️ Published online in September 2021 ✔️ Submitted in March 2021
Mohammed I University (UMP):
[4] S. Aouissi, M. Talbi, M.C. Ismaili et A. Azizi.
Title: On a Conjecture of Lemmermeyer. (Themes 3)
International Journal of Number Theory. Volume 16, No. 07, pp. 1407-1424.
🗓️ Published online in June 2020 ✔️ Submitted in May 2019
[3] S. Aouissi, D.C. Mayer, M.C. Ismaili, M. Talbi, et A. Azizi.
Title: 3-rank of ambiguous class groups in cubic Kummer extensions. (Themes 4 and 5)
Periodica Mathematica Hungarica Journal. Volume 81, pages 250–274.
🗓️ Published online in March 2020 ✔️ Submitted in December 2019
[2] S. Aouissi, M.C. Ismaili, M. Talbi et A. Azizi.
Title: Fields Q(\sqrt[3]{d},\zeta_3) whose 3-class group is of type (9,3). (Theme 3)
International Journal of Number Theory. Volume 15, No. 07, pp. 1437-1447.
🗓️ Published online in April 2019 ✔️ Submitted in April 2018
[1] S. Aouissi, M.C. Ismaili, M. Talbi et A. Azizi.
Title: The generators of 3-class group of some fields of degree 6 over Q. (Theme 3)
Boletim da Sociedade Paranaense de Matemática Journal. Volume 39, No. 03, pp. 37-52.
🗓️ Published online in April 2018 ✔️ Submitted in December 2017