SOME RECENT ARTICLES
(updated February 18, 2018)
Published articles may differ slightly from the
versions on this page.
(with H. Grobner, J. Lin): Deligne's conjecture for automorphic motives over CM-fields,
Part I: factorization. arXiv:1802.02958 [math.NT].
(with H. Esnault): Chern
classes of automorphic vector bundles, II.
arXiv:1801.08219
[math.AG].
(with A.Venkatesh): Derived Hecke algebra for weight one
forms, Experimental Mathematics,
Published online January 3, 2018, DOI: 10.1080/10586458.2017.1409144
(with F. Calegari, D. Geraghty):
Bloch-Kato conjectures for automorphic motives: pdf
(with H. Esnault): Chern
classes of automorphic vector bundles, Pure and Applied Mathematics Quarterly, to appear. arXiv:1701.09073 [math.AG].
(with J. Lin): Period
relations and special values of Rankin-Selberg L-functions, in J. Cogdell,
J.-L. Kim, C.-B. Zhu, eds., Representation
Theory, Number Theory, and Invariant Theory, In Honor of Roger Howe on the Occasion of His 70th Birthday,
Progress in Math. 323 (2017) arxiv.org/abs/1608.07527 [math.NT].
(with G. Bšckle, C. Khare, J. Thorne): G^-local systems on smooth projective curves are
potentially automorphic, arXiv:1609.03491
[math.NT]
(with
E. Eischen, J.-S. Li, C. Skinner):
p-adic L-functions for unitary Shimura varieties, II; zeta integral
calculations, III : ordinary
families and p-adic L-functions, arXiv:
1602.01776 [math.NT]
Speculations on the mod p
representation theory of p-adic groups, Annales de la FacultŽ des sciences de
Toulouse, 25, (2016) 403-418, special issue in
honor of V. Schechtman: pdf
p-adic and analytic properties of
period integrals and values of L-functions,
Annales des MathŽmatiques du QuŽbec, 40(2)
(2016) 435-452, special issue in
honor of Glenn Stevens: pdf
(with H. Grobner, E. Lapid) Whittaker regulators and non-critical
values of Asai L-functions, Contemporary Mathematics, 664 (2016) 119-134. http://arxiv.org/abs/1408.1840v2
Automorphic Galois representations
and Shimura varieties, Proceedings of the
ICM 2014: pdf
(with H. Grobner) Whittaker
periods, motivic periods, and special values of tensor product L-functions Journal
of the Institut de MathŽmatiques de Jussieu, 15 (2016) 711-769: pdf
(with K.-W. Lan, R. Taylor, and J. Thorne) On the rigid cohomology of certain Shimura varieties : Research
in the Mathematical Sciences, Special Collection in honor of Robert
Coleman, 3: 39, (2016): pdf
Testing rationality of coherent cohomology of
Shimura varieties, in J. Cogdell et al., eds,
Automorphic
Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro,
Contemporary
Mathematics, 614, 81-96
(2014): pdf
Weight zero Eisenstein cohomology
of Shimura varieties via Berkovich spaces, Pacific
J. Math.
(supplement
to special issue in memory of J. Rogawski), 268, 275-81 (2014) : pdf
(with G. Chenevier) Construction
of automorphic Galois representations, II,
Cambridge Journal of Mathematics, 1, 57-73 (2013) : pdf
L-functions and periods of adjoint motives, Algebra
and Number Theory, 7 (2013), 117-155: pdf
Beilinson-Bernstein localization
over Q and periods of automorphic
forms
International Math. Research
Notices, 2013, 2000-2053 (2013):
pdf
(this is an uncorrected version, with different numbering than the published
version; erratum in preparation)
The Taylor-Wiles method for
coherent cohomology, J.
Reine Angew. Math., 679
125-153 (2013): pdf
(Readers are
warned that the notation may not be entirely consistent in this preliminary
draft.)
(with T. Barnet-Lamb, D. Geraghty, and R. Taylor) A family of Calabi-Yau varieties and
potential automorphy, II, Proc.
RIMS, 47, 29-98 (2011): pdf
(with J.-S. Li and B. Sun) Theta
correspondences for close unitary groups, in
Arithmetic Geometry and
Automorphic Forms, Advanced Lectures in Mathematics,
19,
Somerville: International
Press (2011): pdf
Arithmetic applications of the
Langlands program, Japanese J. Math., 3rd
series, 5, 1-71 (2010): pdf
(with R. Guralnick and N. Katz) Automorphic
realization of residual Galois representations,
J. Eur. Math. Soc. 12, 915-937 (2010): pdf
(with N. Shepherd-Barron and R. Taylor) A family of Calabi-Yau varieties and potential
automorphy, Annals of Math., 171, 779-813 (2010): pdf
(with L. Clozel and R. Taylor) Automorphy
for some l-adic lifts of automorphic
mod l representations
(version of June 2008), Publ.
Math. IHES, 108, 1-181
(2008): pdf
Potential automorphy of
odd-dimensional symmetric powers of elliptic curves, and
applications,
in Algebra, Arithmetic, and
Geometry: Manin Festschrift, Progr. Math., 270, 1-21
Boston: BirkhŠuser (2009): pdf
Cohomological automorphic forms
on unitary groups, II: Period relations and values of L-functions,
in Harmonic Analysis, Group
Representations, Automorphic Forms and Invariant Theory,
Vol. 12, Lecture Notes Series,
Institute of Mathematical Sciences, National University of
Singapore (volume in honor of Roger Howe): pdf
(with J.-S. Li and C. Skinner) p-adic
L-functions for unitary Shimura varieties, Part I: construction
of the Eisenstein measure, Documenta
Math., Extra Volume: John H. Coates' Sixtieth Birthday
393-464 (2006): pdf
A simple proof of rationality of
Siegel-Weil Eisenstein series, in W.T.
Gan, S. S. Kudla, and
Y. Tschinkel, eds., Eisenstein
Series and Applications, BirkhŠuser: Progress in Mathematics
258, 149-186 (2008): pdf
Appendix by Paul Garrett: Archimedean
zeta integrals for unitary groups
(with J.-S. Li and C. Skinner) The
Rallis inner product formula and p-adic L-functions, in
Automorphic Representations,
L-functions and Applications: Progress and Prospects,
Berlin: de Gruyter, 225-255 (2005) (volume in honor of S. Rallis): dvi
The Local Langlands
correspondence: Notes of (half) a course at the IHP, Spring 2000,
AstŽrisque,
298, 17-145 (2005) pdf.
The argument on p. 130-131 is only valid for split groups: see
explanation here.
(with J.-P. Labesse)
Conditional base change for unitary groups,
Asian J. Math. 8,
653-684 (2004): pdf
Occult period invariants and
critical values of the degree four $L$-function of $GSp(4)$, in
H. Hida, D. Ramakrishnan, F.
Shahidi, eds., Contributions to automorphic forms,
geometry,
and number theory (volume in honor of J. Shalika), 331-354 (2004): pdf
(with S. S. Kudla) On a
conjecture of Jacquet, in H. Hida, D. Ramakrishnan, F. Shahidi, eds.,
Contributions to automorphic forms, geometry, and number theory (volume in honor of J. Shalika),
355-371 (2004): dvi
(with S. Zucker) Boundary
cohomology of Shimura varieties, III: The nightmare continues,
MŽmoires de la Soc. Math.
France, 85 (2001): dvi
(with R. Taylor) Deformations
of automorphic Galois representations, fourth preliminary draft, 2003:
dvi
This is the fourth draft of a manuscript originally written in 1998,
most of which has been
incorporated into
the joint paper of the two authors with L. Clozel.
(with R. Taylor) Regular
models of certain Shimura varieties, Asian J. Math. 6, 61-94 (2002): dvi
(with R. Taylor) On the
geometry and cohomology of some Shimura varieties,
Annals of Math.
Studies 151, Princeton
University Press (2001).
Local Langlands correspondences
and vanishing cycles on Shimura varieties,
Proceedings of the
European
Congress of Mathematics, Barcelona, 2000;
Progress in Mathematics, 201,
Basel: BirkhaŸser Verlag, 407-427 (2001): dvi
There is a mistake in the statement of Proposition 4.1 (ii) and in
Conjecture 5.2: see explanation here.
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Arithmetic
of the oscillator representation (unpublished
manuscript on the arithmetic of Siegel
modular forms of half-integral
weight, 1987)
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