Farshid Hajir
Invariant factors of ideal class groups in towers of number fields, F. Hajir and C. Maire, submitted.
(An older version of) Heuristics for $p$-class towers of imaginary quadratic fields, joint with Nigel Boston and Michael Bush. To appear in Math. Annalen.
Primes of prescribed congruence class in short intervals, appeared in Integers.
Fundamental Groups of Number Fields Extended abstract of a talk given at the Oberwolfach Workshop:
Explicit Methods in Number Theory, published in Oberwolfach Reports.
Non-abelian Cohen-Lenstra
heuristics for imaginary quadratic fields, Reporting on joint work
with Nigel Boston and Michael Bush, Extended abstract of a talk given
at the Oberwolfach Workshop on Low-dimensional topology and number
theory, published in Oberwolfach Reports.
Modular Forms and Elliptic Curves over the Field of Fifth Roots of Unity,
joint with Paul Gunnells and Dan Yasaki, J. Exp. Math.
Algebraic Properties of a family of Jacobi Polynomials,
joint with John Cullinan and Elizabeth Sell.
Finitely Ramified Iterated Extensions,
joint with Wayne Aitken and Christian Maire, IMRN
Extensions of Number Fields with Wild Ramification of
Bounded Depth, joint with Christian Maire, IMRN
Tame pro-p Galois groups: a survey of
recent work, Proceedings of the 9th conference
on Algebraic Geometry and Coding
Theory, Luminy.
On the Galois Group of Generalized
Laguerre Polynomials.
Algebraic Properties of a Family of Generalized
Laguerre
Polynomials
Specializations of One-parameter Families of Polynomials, joint with Siman Wong, Ann. Inst. Fourier (Grenoble)
Research Page
Research Interests
My main area of study is Number Theory. I
am particularly interested in units and class groups of number fields;
extensions of global fields with restricted ramification; the
arithmetic of elliptic curves; and special values of L-functions.
My other academic interests include coding theory,
cryptography, history of mathematics, mathematics education at all
levels, and communication of mathematics and its role in society for
the public at large.
Some Preprints & Publications