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, to appear
(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