Email: abbas.maarefparvar[at]uleth[dot]ca
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Biography
Biography
Welcome to my homepage! I am Abbas Maarefpravr. I received my Ph.D. in pure mathematics, specifically in the field of number theory, in 2018 under the supervision of Professor Ali Rajaei at the Tarbiat Modares University, Tehran, Iran. From 2018 to 2019, I was a full-time researcher in cryptography at the Research Center for Development of Advanced Technologies, Tehran, Iran. For three years, from March 2020 to May 2023, I was a postdoctoral fellow under the supervision of Professor Mohammad Hadi Hedayatzadeh Razavi in the School of Mathematics at the Institute for Research in Fundamental Sciences (IPM), Tehran, Iran. From September 2023 to August 2025, I held a PIMS postdoctoral fellowship under the supervision of Professor Amir Akbary at the University of Lethbridge, Lethbridge, Canada. Since September 2025, I have been continuing my work as an associate researcher in the Department of Mathematics and Computer Science at the University of Lethbridge. My main research area lies in algebraic number theory, especially ramification theory, local-global class field theory, Galois cohomology of number fields, and arithmetic of elliptic curves, as well as lattice-based cryptography.
Publications & Preprints
Publications & Preprints
A. Akbary, A. Maarefparvar, "Number fields with large P\'olya groups". arXiv preprint, arXiv: 2508.11125 (2025).
H. N. H. Al-Jabbari, A. Maarefparvar, "A Digital signature scheme based on Module-LWE and Module-SIS". arXiv preprint, arXiv: 2409.02222 (2024)
A. Maarefparvar, ''On P\'olya groups of non-Galois number fields". To appear in Functiones et Approximatio, Commentarii Mathematici. arXiv preprint, arXiv: 2408.09019.
E. Shahoseini, A. Maarefparvar, ''The $S$-relative P\'olya groups and $S$-Ostrowski quotients of number fields". Bull. Iranian Math. Soc. 50 (2024), no. 2, Paper No. 19, 11 pp.
A. Maarefparvar, "The Ostrowski quotient of an elliptic curve". International Journal of Number Theory, 20 (2024), 727-746.
E. Shahoseini, A. Rajaei, A. Maarefparvar, "On Ostrowski quotients for finite extensions of number fields". Pacific J. Math. 321 (2023), 415-429.
J. Sharafi, A. Maarefparvar, "Robustness analysis of the data-selective Volterra NLMS algorithm". Facta Univ. Ser. Math. Inform. 37 (2022), 453-466.
A. Maarefparvar, "P\'olya group in some real biquadratic fields". J. Number Theory, 228 (2021), 1-7.
A. Maarefparvar, "Existence of relative integral basis over quadratic fields and P\'olya property". Acta. Math. Hungar., 64 (2021), 593-598.
A. Maarefparvar, "pre-P\'olya group in even dihedral extensions of $\mathbb{Q}$". International Journal of Mathematics, 32 (2021), 2150001.
A. Maarefparvar, A. Rajaei, "Relative P\'olya group and P\'olya dihedral extensions of $\mathbb{Q}$". J. Number Theory, 207 (2020), 367-384.
A. Maarefparvar, A . Rajaei, "P\'olya $S_3$-extensions of $\mathbb{Q}$". Proc. Roy. Soc. Edinburgh Sect. A, 149 (2019), 1421-1433.
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