Address for Correspondence:
Department of Mathematics
Oklahoma State University
401 Mathematical Sciences
Stillwater, OK 74078, USA.
e-mail : araghur{at} math {dot} okstate {dot} edu
Contact Information:
Office: 504 Mathematical Sciences.
Phone: (405)-744-7746.
Office Hours: Mondays 3:30 to 4:30 p.m. and
Tuesdays 2:00 to 3:00 p.m.
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Teaching:
Click here
for some excerpts from teaching evaluations.
Spring 2002: MA 265, Linear Algebra, Purdue University.
Fall 2003: 22M150 (Discrete
Mathematics), 22M027 (Linear Algebra), University of Iowa.
Spring 2004: 22M026 (Calculus-II), University of Iowa.
Fall 2004:
22M150 (Discrete Mathematics),
22M026 (Calculus-II), University of Iowa.
Spring 2005: 22M330 (Topics in Algebra: Introduction to
Representation Theory), University of Iowa.
Fall 2005:
22M126 (Elementary theory of numbers),
22M330 (Topics in Algebra: Introduction to Algebraic groups),
University of Iowa.
Spring 2006: 22M033 (Engineering Mathematics III)
University of Iowa.
Fall 2006: MATH 2163 (Calculus-III)
Oklahoma State University.
Spring 2007:
MATH 2163 (Calculus-III) Oklahoma State University.
Fall 2007: MATH 4713 (Number theory).
MATH 5613, Algebra-I
Spring 2008: MATH 5623, Algebra-II
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Research Interests:
My research interests are broadly in the Langlands Program.
More specifically I work with representations of
of p-adic and adelic groups, and their associated L-functions.
These days I am especially interested in the arithmetic aspects
of the special values of automorphic L-functions.
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1. (With D. Prasad) Kirillov theory for GL_2(D) where D
is a division algebra over a non-Archimedean local field,
Duke Math. Journal, Vol. 104, No. 1,
19--44 (2000).
[pdf]
2. (With M. Ram Murty) Some variations on the Dedekind
conjecture,
Journal of the Ramanujan Math. Society,
15, No. 2, 75--95 (2000).
[pdf]
3. On representations of p-adic GL_2(D)
Pacific Journal of Mathematics. 206, No. 2, 451--464,
(2002). [pdf]
4. Nonvanishing of certain Rankin-Selberg
Convolutions,
C. R. Math. Acad. Sci. Soc. R. Can. 24,
No. 2, 67--71 (2002). [pdf]
5. (With Joshua Lansky) A remark on the correspondence of
representations between GL(n) and division algebras.
Proceedings
of the Amer. Math. Soc., 131, No. 5, 1641--1648,
(2003). [pdf]
6. (With Joshua Lansky) On conductors and newforms for U(1,1).
Proceedings
of the Indian Academy of Sciences. 114, No. 4, 319--343, (2004).
[pdf]
7. Kirillov theory for GL_2(D),
Proceedings of the Conference on L-functions and
Cohomology of Arithmetic
groups, TIFR, Mumbai, December 1998.
Somehow I do not have an electronic version of
this paper, but I have lots of reprints!
8. Nonvanishing of L-functions of cusp forms inside the
critical strip.
Proc. Int.
Conf.-Number Theory, Lecture Note Series, Ramanujan Math. Soc., No. 1, 97-105, (2004),
[pdf]
9. On the restriction to D* x D* of representations of
p-adic GL_2(D).
19 pages, (2005). To appear in the
Canadian Journal of Mathematics.
[pdf]
10. A Kunneth theorem for p-adic groups.
7 pages, (2005). To appear
in the Canadian Mathematical
Bulletin. [pdf]
11. (With Joshua Lansky) On conductors and newforms for SL(2).
27 pages, (2003).
To appear in the Pacific Journal of Mathematics.
[pdf]
12. (With Freydoon Shahidi) Functoriality and special values of
L-functions.
19 pages, (2006). To appear in the proceedings of the
Aims workshop on Eisenstein series and applications.
[pdf]
13. (With Freydoon Shahidi) On certain period relations for cusp forms on GL_n.
Preprint, 40 pages, (2007).
[pdf]
14. (With Mahdi Asgari) A cuspidality criterion for the exterior square transfer for cusp forms on GL(4).
Preprint, (2007). [pdf]
15. (With Naomi Tanabe) On the noncritical values of Dirichlet L-functions.
Preprint in prepration. (2007).
Click here
to see my publications as it shows up on MathSciNet.
Notes, Surveys, Thesis: (Disclaimer: I typed up these things for my amusement only; use them at your own risk.)
1. Ph.D. thesis. The thesis is about 100
pages. This thesis studies some
aspects of the representation theory of GL(2,D) for a p-adic division
algebra D.
2. (Ram Murty) Lectures on Artin L-functions.
These are the expanded version of the notes of a course Ram Murty gave in Dec '98 - Jan '99 in TIFR. (41 pages) [dvi]
An edited version of the notes have appeared as an expository paper by Ram Murty in JRMS. The specific reference is:
Journal of the Ramanujan Math. Soc., 16, No. 3, 261--307, (2001).
3. (With Dipendra Prasad) Representation theory of GL(n) over
non-Archimedean local fields.
These are the notes of a course given by Dipendra Prasad in the workshop
"Automorphic forms on GL(n)" held at ICTP, Trieste, Italy in August 2000. (41 pages)
[pdf]
4. (With B. Sury) Groups
acting on trees. These
are the notes of a course
that Sury and I gave at the instructional school
on Geometric
Group Theory at IIT--Guwahati, in December 2002.
Here are the notes: [pdf]
5. Quadratic reciprocity for root numbers of GL(2). 13 pages, (2004).
[pdf]
In this article I prove a certain symmetry property with some root numbers and it is quite possible
that this implies the classical quadratic reciprocity.
6. One hundred exercises in basic representation
theory. These are essentially the weekly homework problems
from a course I taught at the University of Iowa in Spring 2005. [pdf]
7. Arithmetic of L-functions.
This is my colloquium talk at the University of Ottawa during the Fields
Institute workshop in January 2007.
I made a powerpoint presentation which apparently some people liked! I used
tex4ppt to get some math into the slides. [ppt]