Abbas Maarefparvar

Post-Doctoral Researcher

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PhD, Tarbiat Modares University, 2018

Research Field

Algebraic Number Theory

Research Interests

My research interests are in Algebraic Number Theory and Arithmetic of Elliptic Curves, in particular: Integer valued polynomials, Polya fields, Polya groups, Galois cohomology, Class field theory, Selmer group and Tate-Shafarevich groups of elliptic curves.


  • pre-Polya ‎group ‎in ‎even ‎dihedral ‎extensions ‎of ‎‎Q, International Journal of Mathematics, 32 (2021).‎‎
  • Existence of relative integral basis over quadratic fields and Polya property, Acta. Math. Hungar, 64 ‎(2021), ‎593-598.‎
  • Polya ‎group ‎in ‎some ‎real ‎biquadratic ‎fields, J. ‎Number ‎Theory, 228 ‎(‎2021), 1-7.‎‎
  • Relative Polya group and Polya dihedral extensions of Q, J. Number Theory, 207 (2020), 367-384, (joint with A. Rajaei).
  • Polya S_3-extensions of Q, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 149 (2019), 1421-1433, (joint with A. Rajaei).


Papers on Arxiv
Google Scholar Profile