# 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.