James W. Cogdell

Contact Information:

Department of Mathematics
Ohio State University
231 W. 18th Ave.
Columbus, OH 43210

Phone: 614-292-8678
Fax    : 614-292-1479

e-mail: cogdell@math.ohio-state.edu
 

Courses:

6112 Spring 2020

Vita:

Here is a (hopefully) current version of my vita:
 
  • Vita [pdf]

    • Papers:

    Here are some links to papers that are in various stages of pre-publication.  If you find any errors, I would appreciate you letting me know.  
       
  • Unitarity and functoriality  [pdf]
    •   with I.I. Piatetski-Shapiro.   GAFA 5 (1995), 164-173. [This is a post-publication version and may differ slightly from that in GAFA.]
  • Notes on L-functions for GL(n) [pdf]
    •   ICTP Lecture Notes.
  • Remarks on Rankin-Selberg Convolutions [pdf]
    •   with I.I. Piatetski-Shapiro. For the Shalika Volume.
  • On sums of three squares [pdf]
    •   Proceedings of the  XXII Journees Arithmetiques, Lille, 2001., J.N.T. Bordeaux,. 15 (2003), 33-44.
  • Analytic theory of L-functions for GL(n) [pdf]
    •   Proceedings of the School  on Automorphic Forms, L-functions, and Number Theory, The Institute for Advanced      Studies of the Hebrew University,  Jerusalem, March 12--16, 2001.
  • Langlands  conjectures for GL(n) [pdf]
    •   Proceedings of the School  on Automorphic Forms, L-functions, and Number Theory, The Institute for Advanced        Studies of the Hebrew University,  Jerusalem, March 12--16, 2001.
  • Dual groups and Langlands functoriality [pdf]
    •   Proceedings of the School  on Automorphic Forms, L-functions, and Number Theory, The Institute for Advanced    Studies of the Hebrew University,  Jerusalem, March 12--16, 2001.
  •  Converse Theorems, Functoriality, and Applications to Number Theory [pdf]
    •   with I.I. Piatetski-Shapiro. Proceedings ICM 2002, Beijing, Vol. II, 119--128.
  • L-functions and Converse Theorems for GL(n) [pdf]
      Park City Lecture Notes  (corrected and expanded version of the ICTP Lecture Notes).
  • Lectures on L-functions, Converse Theorems, and Functoriality for GL(n) [pdf]
      Fields Institute Lectures, Spring 2003.
  • Functoriality for the classical groups [pdf]
      with H.H. Kim, I.I. Piatetski-Shapiro, and F. Shahidi. Publ. Math. IHES. 99 (2004), 163--233.
  • On the complex moments of symmetric power L-functions at s=1 [pdf]
      with P. Michel. IMRN 2004 No. 31.
  • Partial Bessel functions for quasi-split groups [pdf]
       with I.I. Piatetski-Shapiro and F. Shahidi. For the Rallis Volume (2004).
  • Converse Theorems, Functoriality and Applications [pdf]
      Whittemore Lectures, Fall 2002. For the Borel Volume of PAMQ.
  • Stability of gamma-factors for quasisplit groups  [pdf]
      with I.I. Piatetski-Shapiro and F. Shahidi. JIMJ 7 (2008), 27--66.
  • The Bergman kernel and mass equidistribution on the Siegel modular variety [pdf]
     with W. Luo (2008). Forum Math. , to appear.
  • On partial Poincare series [pdf]
     with I.I. Piatetski-Shapiro (2007). For the Gelbart volume.
  • Functoriality for the quasisplit classical groups  [pdf]
      with I.I. Piatetski-Shapiro and F. Shahidi (2008). For the Shahidi volume.
  • Some generalized functionals and their Bessel functions  [pdf]
      with F. Shahidi (2009). For the Kudla volume.
  • L-functions and Functoriality [pdf]
      CIMPA lectures, Weihai, August 2010.
  • Piatetski-Shapiro's work on Converse Theorems. [pdf]
      Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro. AMS Contemporary Math., 2014.
  • On stability of root numbers  [pdf]
      with F. Shahidi and T-L. Tsai. Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro. AMS Contemporary Math., 2014.
  • L-functions and non-abelian class fiels theory, from Artin to Langlands [pdf]
    Emil Artin and Beyond -- Class Field Theory and L-functions (D. Dumbaugh \& J. Schwermer, Eds.), EMS.
  • On Bessel functions for GL(2) [pdf]
    Ramanujan Volume of the Indian Journal of Pure and Applied Maths.
  • The functional equation of the Jacquet-Shalika integral representation of the local exterior-square L-function [pdf]
    (with N. Matringe) Math. Res. Letters 22 (2015).
  • Local transfer and reducibility of induced representations of p-adic groups of classical type [pdf]
    (with M. Asgari and F. Shahidi) Contemporary Math. 644 (2016).
  • Local Langlands correspondence for GL(n) and the exterior and symmetric square epsilon factors [pdf]
    (with F. Shahidi and T-L. Tsai) Duke Math. J. 166 (2017).
  • Derivatives and L-functions for GL(n) [pdf]
       with I.I. Piatetski-Shapiro. The Howe volume.
  • Spectral construction of non-holomorphic Eisenstein-type series and their Kronecker limit formula [pdf]
    (with J. Jorgenson and L. Smajlovic) The Previato volume (2019).
  • Evaluating the Mahler measure of linear forms via the Kronecker limit formula on complex projective space [pdf]
    (with J. Jorgenson and L. Smajlovic) Transactions of the AMS 374 (2021).
  • Kronecker limit functions and an extension of the Rohrlich-Jensen formula [pdf]
    (with J. Jorgenson and L. Smajlovic) Nagoya Math. J. (to appear).
  • An analytic perspective of Weil reciprocity [pdf]
    (with J. Jorgenson and L. Smajlovic) Albanian J. Math. (to appear).

    • Manuscripts:

    Here are some manuscripts that may see the light of day at some future date.   Use them at your own risk.  

    Talks:

    These are lecture notes from various talks I have given.

  • Exterior  square L-function for GL(n)  [pdf]
    •     Talk given at the Fields Institute, April 1994.
  • L-functions and Functoriality [pdf]
    •     Notes from a colloquium talk.
  • Lectures on Integral Representations of L-functions  [pdf]
    •     Lecture notes from the Instuctional Workshop: Automorphic galois Representations, L-functions and Arithmetic held at Columbia, June 17--22, 2006.