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 1:30 to 3:30 p.m. and Fridays 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
  Fall 2008:     MATH 4713, Number Theory     MATH 2163, Calculus-III

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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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Publications:

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 J. Math. 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.
     Proc. Amer. Math. Soc.,  131, No. 5, 1641--1648, (2003).   [pdf]

6. (With Joshua Lansky) On conductors and newforms for U(1,1).
     Proc. Ind. Acad. Sci. 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).
     Canad. J. Math. 59 (2007), no. 5, 1050--1068.   [pdf]

10. A Kunneth theorem for p-adic groups.
     Canad. Math. Bull. 50 (2007), no. 3, 440--446.   [pdf]

11. (With Joshua Lansky) On conductors and newforms for SL(2).
     Pacific J. Math. 231 (2007), no. 1, 127--153.   [pdf]

12. (With Freydoon Shahidi) Functoriality and special values of L-functions.
     Eisenstein series and applications. Progress in Mathematics 258. Boston, MA: Birkhauser Boston, 2008.   [pdf]

13. (With Freydoon Shahidi) On certain period relations for cusp forms on GL_n.
     To appear in Int. Math. Res. Not.   [pdf]

14. (With Mahdi Asgari) A cuspidality criterion for the exterior square transfer for cusp forms on GL(4).
     To appear in the conference proceedings of Shahidi's 60th Birthday conference. [pdf]

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]