Alternate Email:

My specialty is algebraic number theory. I study unit and ideal class groups of number fields, the Galois theory of extensions with restricted ramification, the arithmetic of elliptic curves, and special values of L-functions. My past PhD students are Mairead Greene, Laura Hall-Seelig, and Alden Gassert. In the Department of Mathematics & Statistics, I served as Undergraduate Program Director (2006-2011), as Associate Department Head (2011-2014), and as Department Head (2014-2017). In the Provost's office, I served as Senior Vice Provost for Academic Affairs (2017-2022), and currently serve as Senior Vice Provost & Dean of Undergraduate Education (2022--).


Ph.D. Massachusetts Institute of Technology, 1993

A.B. Princeton University, 1988


Algebraic number theory

Selected Publications

  • Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi, On the Shafarevich group of restricted ramification extensions of number fields in the tame case, Indiana Univ. Math. J. 70 (2021), no. 6, 2693–2710.
  • Boston, Nigel; Bush, Michael R.; Hajir, Farshid, Heuristics for p-class towers of real quadratic fields, J. Inst. Math. Jussieu 20 (2021), no. 4, 1429–1452.
  • Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi, Infinite class field towers of number fields of prime power discriminant, Adv. Math. 373 (2020), 107318, 8 pp.
  • Boston, Nigel; Bush, Michael R.; Hajir, Farshid, Heuristics for p-class towers of imaginary quadratic fields, Math. Ann. 368 (2017), no. 1-2, 633–669.
  • Aitken, Wayne; Hajir, Farshid; Maire, Christian,  Finitely ramified iterated extensions. Int. Math. Res. Not. 2005, no. 14, 855--880.
  • Hajir, Farshid; Maire, Christian, Tamely ramified towers and discriminant bounds for number fields. Compositio Math. 128 (2001), no. 1, 35--53.
  • Hajir, Farshid; Villegas, Fernando Rodriguez Explicit elliptic units. I. Duke Math. J. 90 (1997), no. 3, 495--521.