Farshid Hajir's Research Page


Farshid Hajir
Assistant Professor
Department of Mathematics
University of Massachusetts, Amherst
e-mail: hajir@math.umass.edu


Research Interests

My main area of study is Number Theory: I am particularly interested in elliptic curves, extensions with restriced ramification, and special values of L-functions.  Here you can find, in dvi format, my cv, research plan, and some of my papers. Please contact me if you're unable to view any of these files.
Curriculum Vitae (pdf)

Abstracts of some of my papers


Recent Preprints

Finitely Ramified Iterated Extensions, joint with Wayne Aitken and Christian Maire, preprint 2004, to appear in IMRN.

Tame pro-p Galois groups: a survey of recent work, to appear in Proceedings of the 9th conference on Algebraic Geometry and Coding Theory, Luminy.

On the Galois Group of Generalized Laguerre Polynomials, submitted 2004.

Algebraic Properties of a Family of Generalized Laguerre Polynomials, submitted 2004.

Specializations of One-parameter Families of Polynomials, joint with Siman Wong, submitted 2004.


Recently Published Papers

Extensions of number fields with wild ramification of bounded depth, joint with C. Maire, appeared in International Mathematics Research Notices .

Tamely ramified towers and discriminant bounds for number fields II, joint with C. Maire, appeared in Journal of Symbolic Computation.

Unramified subextensions of infinite ray class field towers, joint with C. Maire, appeared in Journal of Algebra.

Asymptotically good towers of global fields, joint with C. Maire, to appear in Proceedings of the 2000 European Congress of Mathematicians, Birkhauser.

Tamely ramified towers and discriminant bounds for number fields , joint with C. Maire, Compositio Math. 128(1):35-53, 2001.

On the class number of Hilbert class fields, Pacific Journal of Math., Special Issue, Olga Taussky-Todd: in memoriam (1997), 177-187.

On the Tate-Shafarevich groups of certain elliptic curves, joint with F. Rodriguez Villegas , Math. Research Letters 5 (1998), no. 5, 637-655.

Talk Overheads

pdf On the Fontaine-Mazur Conjecture