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Farshid Hajir, Associate Professor; Director, Undergraduate Program |
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| Personal Webpage |
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| Office | LGRT 1118 | | Phone | (413) 545-6015 | | Fax | (413) 545-1801 | | Email | hajir <at> math.umass.edu | |
| Mailing Address |
| Department of Mathematics and Statistics |
| Lederle Graduate Research Tower |
| University of Massachusetts |
| Amherst, MA 01003-9305 |
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| Courses |
| Fundamental Concepts of Mathematics and 1 credit co-seminar |
| Math 300.2 (TuTh 9:30 - 10:45 am, LGRC A203) |
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| Introduction to Abstract Algebra I |
| Math 411.2 (TuTh 1:00 - 2:15 pm, LGRC A201) |
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| Algebraic Number Theory |
| Math 791N (TuTh 2:30 - 3:45 pm, LGRT 1322) | | |
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| Education | | Ph.D. | Massachusetts Institute of Technology, 1993 |
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| | A.B. | Princeton University, 1988 |
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| Research Interests: Algebraic number theory |
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| 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 first PhD student (Mairead Greene) is an Assistant Professor at Rockhurst University. Laura Hall-Seelig is currently working on a PhD project under my direction. My research on asymptotically good families of curves, codes, number fields, and graphs is funded by the NSA. |
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| Selected Publications |
| Bush, Michael R.; Hajir, Farshid An irreducibility lemma. J. Ramanujan Math. Soc. 23 (2008), no. 1, 33--41. |
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| Aitken, Wayne; Hajir, Farshid; Maire, Christian Finitely ramified iterated extensions. Int. Math. Res. Not. 2005, no. 14, 855--880. |
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| Hajir, Farshid; Maire, Christian Tamely ramified towers and discriminant bounds for number fields. Compositio Math. 128 (2001), no. 1, 35--53. |
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| Hajir, Farshid; Rodriguez Villegas, Fernando On the Tate-Shafarevich group of certain elliptic curves. Math. Res. Lett. 5 (1998), no. 5, 637--655. |
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| Hajir, Farshid; Villegas, Fernando Rodriguez Explicit elliptic units. I. Duke Math. J. 90 (1997), no. 3, 495--521. |
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