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Department of Mathematics

Freydoon Shahidi

Freydoon Shahidi Distinguished Professor of Mathematics
  • 765 49-41917
  • MATH 650
fshahidi@purdue.edu

Personal Website

Research Interest(s):
Automorphic Forms, Lie Groups, Number Theory, Representation Theory


Selected Publications

  1. Neven Grbac and Freydoon Shahidi. Endoscopic transfer for unitary groups and holomorphy of Asai L-functions. Pacific J. Math., 276(1):185-211, 2015. [ bib | DOI | http ]
  2. Freydoon Shahidi. Eisenstein series, L-functions and representation theory. In Automorphic forms and L-functions, volume 30 of Adv. Lect. Math. (ALM), pages 149-178. Int. Press, Somerville, MA, 2014. [ bib ]
  3. J. W. Cogdell, F. Shahidi, and T.-L. Tsai. On stability of root numbers. In Automorphic forms and related geometry: assessing the legacy of I. I. Piatetski-Shapiro, volume 614 of Contemp. Math., pages 375-386. Amer. Math. Soc., Providence, RI, 2014. [ bib | DOI | http ]
  4. Stephen Gelbart, Stephen D. Miller, Alexei Panchishkin, and Freydoon Shahidi. A p-adic integral for the reciprocal of L-functions. In Automorphic forms and related geometry: assessing the legacy of I. I. Piatetski-Shapiro, volume 614 of Contemp. Math., pages 53-68. Amer. Math. Soc., Providence, RI, 2014. [ bib | DOI | http ]
  5. Mahdi Asgari and Freydoon Shahidi. Image of functoriality for general spin groups. Manuscripta Math., 144(3-4):609-638, 2014. [ bib | DOI | http ]
  6. David Goldberg and Freydoon Shahidi. The tempered spectrum of quasi-split classical groups III: The odd orthogonal groups. Forum Math., 26(4):1029-1069, 2014. [ bib | DOI | http ]
  7. Freydoon Shahidi. On equality of arithmetic and analytic factors through local Langlands correspondence. Pacific J. Math., 260(2):695-715, 2012. [ bib | DOI | http ]
  8. James W. Cogdell and Freydoon Shahidi. Some generalized functionals and their Bessel functions. In Arithmetic geometry and automorphic forms, volume 19 of Adv. Lect. Math. (ALM), pages 55-90. Int. Press, Somerville, MA, 2011. [ bib ]
  9. J. W. Cogdell, I. I. Piatetski-Shapiro, and F. Shahidi. Functoriality for the quasisplit classical groups. In On certain L-functions, volume 13 of Clay Math. Proc., pages 117-140. Amer. Math. Soc., Providence, RI, 2011. [ bib ]
  10. Freydoon Shahidi. Arthur packets and the Ramanujan conjecture. Kyoto J. Math., 51(1):1-23, 2011. [ bib | DOI | http ]
  11. Freydoon Shahidi. In memoriam: Joseph A. Shalika 1941-2010. Amer. J. Math., 132(6):i-ii, 2010. [ bib ]
  12. Freydoon Shahidi. Eisenstein series and automorphic L-functions, volume 58 of American Mathematical Society Colloquium Publications. American Mathematical Society, Providence, RI, 2010. [ bib ]
  13. Freydoon Shahidi and Steven Spallone. Residues of intertwining operators for SO*6 as character identities. Compos. Math., 146(3):772-794, 2010. [ bib | DOI | http ]
  14. Freydoon Shahidi. Complexity of group actions and stability of root numbers. In Automorphic forms and L-functions II. Local aspects, volume 489 of Contemp. Math., pages 259-283. Amer. Math. Soc., Providence, RI, 2009. With an appendix by Wentang Kuo. [ bib | DOI | http ]
  15. A. Raghuram and Freydoon Shahidi. On certain period relations for cusp forms on GLn. Int. Math. Res. Not. IMRN, pages Art. ID rnn 077, 23, 2008. [ bib ]
  16. F. Shahidi. Appendix: L-functions and poles of intertwining operators. Int. Math. Res. Not. IMRN, pages Art. ID rnn 095, 13, 2008. [ bib | DOI | http ]
  17. A. Raghuram and Freydoon Shahidi. Functoriality and special values of L-functions. In Eisenstein series and applications, volume 258 of Progr. Math., pages 271-293. Birkhäuser Boston, Boston, MA, 2008. [ bib | DOI | http ]
  18. J. W. Cogdell, I. I. Piatetski-Shapiro, and F. Shahidi. Stability of γ-factors for quasi-split groups. J. Inst. Math. Jussieu, 7(1):27-66, 2008. [ bib | DOI | http ]
  19. Freydoon Shahidi. Langlands functoriality conjecture and number theory. In Representation theory and automorphic forms, volume 255 of Progr. Math., pages 151-173. Birkhäuser Boston, Boston, MA, 2008. [ bib | DOI | http ]
  20. Freydoon Shahidi. Langlands-Shahidi method. In Automorphic forms and applications, volume 12 of IAS/Park City Math. Ser., pages 299-330. Amer. Math. Soc., Providence, RI, 2007. [ bib ]
  21. Dinakar Ramakrishnan and Freydoon Shahidi. Siegel modular forms of genus 2 attached to elliptic curves. Math. Res. Lett., 14(2):315-332, 2007. [ bib | DOI | http ]
  22. Henry H. Kim and Freydoon Shahidi. Holomorphy of the 9th symmetric power L-functions for Re(s)>1. Int. Math. Res. Not., pages Art. ID 59326, 7, 2006. [ bib | DOI | http ]
  23. Mahdi Asgari and Freydoon Shahidi. Generic transfer from GSp(4) to GL(4). Compos. Math., 142(3):541-550, 2006. [ bib ]
  24. Mahdi Asgari and Freydoon Shahidi. Generic transfer for general spin groups. Duke Math. J., 132(1):137-190, 2006. [ bib ]
  25. Freydoon Shahidi. Infinite dimensional groups and automorphic L-functions. Pure Appl. Math. Q., 1(3):683-699, 2005. [ bib ]
  26. J. W. Cogdell, I. I. Piatetski-Shapiro, and F. Shahidi. Partial Bessel functions for quasi-split groups. In Automorphic representations, L-functions and applications: progress and prospects, volume 11 of Ohio State Univ. Math. Res. Inst. Publ., pages 95-128. de Gruyter, Berlin, 2005. [ bib ]
  27. Freydoon Shahidi. Functoriality and small eigenvalues of Laplacian on Riemann surfaces. In Surveys in differential geometry. Vol. IX, Surv. Differ. Geom., IX, pages 385-400. Int. Press, Somerville, MA, 2004. [ bib ]
  28. Freydoon Shahidi. On the Ramanujan conjecture for quasisplit groups. Asian J. Math., 8(4):813-835, 2004. [ bib ]
  29. Henry H. Kim and Freydoon Shahidi. On simplicity of poles of automorphic L-functions. J. Ramanujan Math. Soc., 19(4):267-280, 2004. [ bib ]
  30. J. W. Cogdell, H. H. Kim, I. I. Piatetski-Shapiro, and F. Shahidi. Functoriality for the classical groups. Publ. Math. Inst. Hautes Études Sci., (99):163-233, 2004. [ bib ]
  31. Henry H. Kim and Freydoon Shahidi. On the holomorphy of certain L-functions. In Contributions to automorphic forms, geometry, and number theory, pages 561-572. Johns Hopkins Univ. Press, Baltimore, MD, 2004. [ bib ]
  32. Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi, editors. Contributions to automorphic forms, geometry, and number theory. Johns Hopkins University Press, Baltimore, MD, 2004. Papers from the conference in honor of Joseph Shalika held at Johns Hopkins University, Baltimore, MD, May 14-17, 2002. [ bib ]
  33. Freydoon Shahidi. Automorphic L-functions and functoriality. In Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), pages 655-666, Beijing, 2002. Higher Ed. Press. [ bib ]
  34. Freydoon Shahidi. Local coefficients as Mellin transforms of Bessel functions: towards a general stability. Int. Math. Res. Not., (39):2075-2119, 2002. [ bib ]
  35. Henry H. Kim and Freydoon Shahidi. Functorial products for GL2×GL3 and the symmetric cube for GL2. Ann. of Math. (2), 155(3):837-893, 2002. With an appendix by Colin J. Bushnell and Guy Henniart. [ bib ]
  36. Henry H. Kim and Freydoon Shahidi. Cuspidality of symmetric powers with applications. Duke Math. J., 112(1):177-197, 2002. [ bib ]
  37. Henry H. Kim and Freydoon Shahidi. Symmetric cube for GL2. In Cohomology of arithmetic groups, L-functions and automorphic forms (Mumbai, 1998/1999), volume 15 of Tata Inst. Fund. Res. Stud. Math., pages 205-213. Tata Inst. Fund. Res., Bombay, 2001. [ bib ]
  38. J. W. Cogdell, H. H. Kim, I. I. Piatetski-Shapiro, and F. Shahidi. On lifting from classical groups to GLN. Publ. Math. Inst. Hautes Études Sci., (93):5-30, 2001. [ bib ]
  39. David Goldberg and Freydoon Shahidi. On the tempered spectrum of quasi-split classical groups. II. Canad. J. Math., 53(2):244-277, 2001. [ bib ]
  40. Stephen Gelbart and Freydoon Shahidi. Boundedness of automorphic L-functions in vertical strips. J. Amer. Math. Soc., 14(1):79-107 (electronic), 2001. [ bib ]
  41. Henry H. Kim and Freydoon Shahidi. Holomorphy of Rankin triple L-functions; special values and root numbers for symmetric cube L-functions. In Proceedings of the Conference on p-adic Aspects of the Theory of Automorphic Representations (Jerusalem, 1998), volume 120, pages 449-466, 2000. [ bib ]
  42. Henry H. Kim and Freydoon Shahidi. Functorial products for GL2×GL3 and functorial symmetric cube for GL2. C. R. Acad. Sci. Paris Sér. I Math., 331(8):599-604, 2000. [ bib ]
  43. Freydoon Shahidi. Twists of a general class of L-functions by highly ramified characters. Canad. Math. Bull., 43(3):380-384, 2000. [ bib ]
  44. Freydoon Shahidi. Poles of intertwining operators via endoscopy: the connection with prehomogeneous vector spaces. Compositio Math., 120(3):291-325, 2000. With an appendix by Diana Shelstad. [ bib ]
  45. [45] Henry H. Kim and Freydoon Shahidi. Symmetric cube L-functions for GL2 are entire. Ann. of Math. (2), 150(2):645-662, 1999. [ bib ]
  46. [46] Goran Muić and Freydoon Shahidi. Irreducibility of standard representations for Iwahori-spherical representations. Math. Ann., 312(1):151-165, 1998. [ bib ]
  47. [47] William Casselman and Freydoon Shahidi. On irreducibility of standard modules for generic representations. Ann. Sci. École Norm. Sup. (4), 31(4):561-589, 1998. [ bib ]
  48. [48] David Goldberg and Freydoon Shahidi. On the tempered spectrum of quasi-split classical groups. Duke Math. J., 92(2):255-294, 1998. [ bib ]
  49. [49] Freydoon Shahidi. On non-vanishing of twisted symmetric and exterior square L-functions for GL(n). Pacific J. Math., (Special Issue):311-322, 1997. Olga Taussky-Todd: in memoriam. [ bib ]
  50. [50] Henry H. Kim and Freydoon Shahidi. Quadratic unipotent Arthur parameters and residual spectrum of symplectic groups. Amer. J. Math., 118(2):401-425, 1996. [ bib ]
  51. [51] Freydoon Shahidi. The notion of norm and the representation theory of orthogonal groups. Invent. Math., 119(1):1-36, 1995. [ bib ]
  52. [52] Freydoon Shahidi. Symmetric power L-functions for GL(2). In Elliptic curves and related topics, volume 4 of CRM Proc. Lecture Notes, pages 159-182. Amer. Math. Soc., Providence, RI, 1994. [ bib ]
  53. [53] Freydoon Shahidi. L-functions and representation theory of p-adic groups. In p-adic methods and their applications, Oxford Sci. Publ., pages 91-112. Oxford Univ. Press, New York, 1992. [ bib ]
  54. [54] Freydoon Shahidi. Twisted endoscopy and reducibility of induced representations for p-adic groups. Duke Math. J., 66(1):1-41, 1992. [ bib ]
  55. [55] Freydoon Shahidi. Langlands' conjecture on Plancherel measures for p-adic groups. In Harmonic analysis on reductive groups (Brunswick, ME, 1989), volume 101 of Progr. Math., pages 277-295. Birkhäuser Boston, Boston, MA, 1991. [ bib ]
  56. [56] Freydoon Shahidi. On multiplicativity of local factors. In Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday, Part II (Ramat Aviv, 1989), volume 3 of Israel Math. Conf. Proc., pages 279-289. Weizmann, Jerusalem, 1990. [ bib ]
  57. [57] F. Shahidi. Best estimates for Fourier coefficients of Maass forms. In Automorphic forms and analytic number theory (Montreal, PQ, 1989), pages 135-141. Univ. Montréal, Montreal, QC, 1990. [ bib ]
  58. [58] Freydoon Shahidi. A proof of Langlands' conjecture on Plancherel measures; complementary series for p-adic groups. Ann. of Math. (2), 132(2):273-330, 1990. [ bib ]
  59. [59] F. Shahidi. Automorphic L-functions: a survey. In Automorphic forms, Shimura varieties, and L-functions, Vol. I (Ann Arbor, MI, 1988), volume 10 of Perspect. Math., pages 415-437. Academic Press, Boston, MA, 1990. [ bib ]
  60. [60] Freydoon Shahidi. Third symmetric power L-functions for GL(2). Compositio Math., 70(3):245-273, 1989. [ bib ]
  61. [61] Stephen Gelbart and Freydoon Shahidi. Analytic properties of automorphic L-functions, volume 6 of Perspectives in Mathematics. Academic Press Inc., Boston, MA, 1988. [ bib ]
  62. [62] C. David Keys and Freydoon Shahidi. Artin L-functions and normalization of intertwining operators. Ann. Sci. École Norm. Sup. (4), 21(1):67-89, 1988. [ bib ]
  63. [63] Freydoon Shahidi. On the Ramanujan conjecture and finiteness of poles for certain L-functions. Ann. of Math. (2), 127(3):547-584, 1988. [ bib ]
  64. [64] Freydoon Shahidi. A weak Ramanujan conjecture for generic cuspidal spectrum of quasisplit groups. Bull. Amer. Math. Soc. (N.S.), 15(2):195-200, 1986. [ bib ]
  65. [65] Freydoon Shahidi. Local coefficients as Artin factors for real groups. Duke Math. J., 52(4):973-1007, 1985. [ bib ]
  66. [66] C. J. Moreno and F. Shahidi. The L-functions L(s,Symm(r),π). Canad. Math. Bull., 28(4):405-410, 1985. [ bib ]
  67. [67] C. J. Moreno and F. Shahidi. The L-function L3(s,πΔ) is entire. Invent. Math., 79(2):247-251, 1985. [ bib ]
  68. [68] P. D. T. A. Elliott, C. J. Moreno, and F. Shahidi. On the absolute value of Ramanujan's τ-function. Math. Ann., 266(4):507-511, 1984. [ bib ]
  69. [69] Freydoon Shahidi. Fourier transforms of intertwining operators and Plancherel measures for GL(n). Amer. J. Math., 106(1):67-111, 1984. [ bib ]
  70. [70] Freydoon Shahidi. Some results on L-indistinguishability for SL(r). Canad. J. Math., 35(6):1075-1109, 1983. [ bib ]
  71. [71] Carlos J. Moreno and Freydoon Shahidi. The fourth moment of Ramanujan τ-function. Math. Ann., 266(2):233-239, 1983. [ bib ]
  72. [72] Freydoon Shahidi. Local coefficients and normalization of intertwining operators for GL(n). Compositio Math., 48(3):271-295, 1983. [ bib ]
  73. [73] Freydoon Shahidi. On certain L-functions. Amer. J. Math., 103(2):297-355, 1981. [ bib ]
  74. [74] Freydoon Shahidi. Whittaker models for real groups. Duke Math. J., 47(1):99-125, 1980. [ bib ]
  75. [75] Freydoon Shahidi. On nonvanishing of L-functions. Bull. Amer. Math. Soc. (N.S.), 2(3):462-464, 1980. [ bib ]
  76. [76] Freydoon Shahidi. Functional equation satisfied by certain L-functions. Compositio Math., 37(2):171-207, 1978. [ bib ]
  77. [77] Freydoon Shahidi. Modular forms and L-functions for GL2. In Proceedings of the Eighth National Mathematics Conference (Arya-Mehr Univ. Tech., Tehran, 1977), pages 316-324, Tehran, 1977. Arya-Mehr Univ. Tech. [ bib ]

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