Publications and Talks
-
The spectral side of Arthur's trace formula,
PNAS, 2009 v. 106 #37, p. 15536-15566 (joint with
Tobias Finis and
Werner Muller)
-
A Bessel identity for the theta correspodence,
preprint (joint with Moshe Baruch and Zhengyu Mao)
-
On the continuity of Arthur's trace formula: the elliptic terms,
preprint (joint with
Tobias Finis)
-
Automorphic forms and L-functions,
Proceedings of a workshop in honor of Steve Gelbart on the occasion
of his 60th birthday, co-edited with David Ginzburg and David Soudry,
Contemporary Mathematics, volumes
488,
489,
AMS and BIU 2009.
(Table of contents:
volume I: global aspects,
volume II: local aspects)
-
A conjectural non-commutative generalization of a volume formula of McMullen-Schneider,
Proceedings of the Goettingen-Jerusalem
Conference on Symmetries in Algebra and Number Theory,
Goettingen, October 27-30, 2008
Universitaetsverlag Goettingen, 2009 p. 59-64
(joint with
Tobias Finis)
-
On the asymptotics of Whittaker functions,
Representation Theory 13 (2009) 63-81.
(joint with Zhengyu Mao)
-
On the Arthur-Selberg trace formula for GL(2),
Groups, Geometry and Dynamics, to appear (joint with
Tobias Finis)
-
On Arthur's asymptotic inner product formula of truncated Eisenstein series,
On certain $L$-functions: a volume in honor of
Freydoon Shahidi on the occasion of his 60th birthday, to appear
-
On a result of Venkatesh on Clozel's conjecutre,
Automorphic forms and $L$-functions II: local aspects, Contemp. Math.
vol. 489, 173-178.
(joint with
Jonathan Rogawski)
-
Introductory notes on the trace formula ,
Automorphic Forms and the Langlands Program,
Advanced Lectures in Mathematics, vol. 9,
Higher Education Press (China) & International Press.
-
Spectral asymptotics for arithmetic quotients of $SL(n,R)/SO(n)$ ,
Duke Math. J. 149 #1 (2009), 117-155 (joint with
Werner Muller)
-
Relation spaces of hyperplane arrangements and modules defined by
graphs of fiber zonotopes,
preprint (joint with
Tobias Finis)
-
On the spectral side of Arthur's trace formula II,
preprint (joint with
Tobias Finis and
Werner Muller)
-
Compact unitary periods,
Compositio Math. 143 (2007) 323-338 (joint with
Omer Offen)
-
On a conjecture of Jacquet-Lai-Rallis; some exceptional cases,
Canadian J. of Math. 59(6) (2007) 1323-1340 (joint with David Ginzburg)
-
A remark on Eisenstein series,
Eisenstein series and its applications, 239-249, Progress in Math., v. 258, Birkhauser 2008
-
Lower bounds for L-functions at the edge of the critical strip,
Amer. J. of Math. 128 (2006) 619-638. (joint with
Stephen Gelbart)
- A new
method for lower bounds of L-functions,
C. R. Acad. Sci. Paris I 339 (2004) 91-94
(joint with
Stephen Gelbart and
Peter Sarnak; presented by J.-P. Serre)
-
The relative trace formula and its applications,
Automorphic Forms and Automorphic L-Functions (Kyoto, 2005),
Surikaisekikenkyusho Kokyuroku No. 1468 (2006), 76-87
- On
the local factors of representations of classical groups,
Automorphic representations, $L$-functions and applications: progress and prospects, 309-359, Ohio State Univ. Math. Res. Inst. Publ., 11, de Gruyter, Berlin, 2005. (joint with
Stephen Rallis)
- On
the generic unitary dual of quasi-split classical groups,
International Mathematics Research Notices 2004 #26 1335-1354.
(joint with
Goran Muic and
Marko Tadic)
(abstract)
- A
spectral identity between symmetric spaces,
Israel J. Math. 140 (2004) 221-244 (joint with
Stephen Rallis)
-
On the fine spectral expansion of Jacquet's relative trace formula,
J. Inst. Math. Jussieu 5(2) (2006) 263-308.
-
Absolute convergence of the spectral side of the
Arthur trace formula for $GL_n$
by
Werner Muller and
Birgit Speh,
Geometric and Functional Analysis #14 (2004) 58-93 (an appendix)
-
On the non-negativity of Rankin-Selberg $L$-functions at the center of
symmetry,
International Mathematics Research Notices 2003 #2 65-75.
- On
the root number of representations of orthogonal type,
Compositio Mathematica 140 (2004) 274-286.
- On
the non-negativity of $L(1/2,\pi)$ for $SO(2n+1)$,
Annals of Math. 157 (2003), 891-917 (joint with
Stephen Rallis)
-
Positivity of $L(1/2,\pi)$ for symplectic representations,
C. R. Acad. Sci. Paris I 334 (2002) 101-104.
(joint with
Stephen Rallis; presented by
Herve Jacquet)
-
A spectral identity for skew symmetric matrices,
Contributions to Automorphic Forms, Geometry, and Number Theory:
a volume in honor of Joseph Shalika, 421-455, Johns Hopkins Univ. Press, 2004 (joint with
Herve Jacquet and
Stephen Rallis)
-
Periods of Eisenstein series: the Galois case,
Duke Math. J. 120, #1 (2003) 153-226 (joint with
Jonathan Rogawski)
-
Periods of Eisenstein series,
C. R. Acad. Sci. Paris t. 333 Serie I (2001) p. 1-4.
(joint with
Jonathan Rogawski; presented by
Herve Jacquet)
-
Stabilization of periods of Eisenstein series and Bessel distributions on
$GL(3)$ relative to $U(3)$, Documenta Mathematica 5 (2000) 317-350.
(joint with
Jonathan Rogawski)
-
Periods of automorphic forms, Jour. of AMS 12 (1999) #1 173-240.
(joint with
Herve Jacquet and
Jonathan Rogawski)
-
A note on the Global Langlands Conjecture,
Documenta Mathematica 3 (1998) 285-296.
-
On twists of cuspidal representations of $GL(2)$,
Forum Mathematicum 10 (1998) 175-197. (joint with
Jonathan Rogawski)
-
Some results on multiplicities for $SL(n)$,
Israel J. Math.112 (1999) 157-186.
Notes on the adeles,
IAS-PCMI summer school on autormophic forms, July 2002
Residues of Eisenstein series,
IAS-PCMI summer school on automorphic forms, July 2002
A different look at the trace formula,
New York University, October 2002
Automorphic forms with spikes,
Conference on L-functions, Fukuoka, 2006
Eisenstein series
1,
2,
Instructional conference, Columbia, 2006
Spectral asymptotics,
Colloquium, Hebrew University, May 2007
trace formula
1,
2,
Instructional conference, Guangzhou, June 2007
A combinatorial problem related to Arthur's trace formula ,
Shahidi 60th birthday conference, Purdue, August 2007.
Combinatorial aspects related to Arthur's trace formula ,
Hakuba, Novermber 2007.
Volume of polytopes, operator analogues and Arthur's trace formula ,
Princeton, February 2008.
Arthur's non-invariant trace formula in higher rank and applications ,
New York University, May 2008.
Some aspects of Arthur's non-invariant trace formula,
beamer,
handout,
Banff, August 2008, ESI February 2009.
On the Arthur-Selberg trace formula,
beamer,
handout,
Montreal, Summer 2009.
Course on the trace formula,
Stanford, fall 2009
Geometry seminar,
Stanford, fall 2009
Multiplicity one and finite multiplicity in representation theory
and automorphic forms,
beamer,
handout,
Oklahoma, December 2009
Volume of polytopes and non-commutative generalizations,
UCLA, February 2010
(imporved version of a talk given in Berkeley, December 2009)
beamer,
Distinction by unitary groups,
UCLA, February 2010
beamer,