Number Theory

[1] Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties

Rong Zhou Imperial College London Yihang Zhu Columbia University

Number Theory Representation Theory Algebraic Geometry mathscidoc:2005.24005

Cambridge Journal of Mathematics, 8, (1), 2020.2
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[2] Heights in families of abelian varieties and the Geometric Bogomolov Conjecture

Ziyang Gao CNRS, IMJ-PRG Philipp Habegger University of Basel

Number Theory Algebraic Geometry mathscidoc:2005.24004

Annals of Mathematics, 189, 527-604, 2019
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[3] When Kloosterman sums meet Hecke eigenvalues

Ping Xi Xi'an Jiaotong University

Number Theory mathscidoc:2005.24003

Inventiones mathematicae, 220, 61-127, 2020
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[4] Arthur parameters and cuspidal automorphic modules of classical groups

Dihua Jiang University of Minnesota Lei Zhang National University of Singapore

Number Theory Representation Theory mathscidoc:2005.24002

Annals of Mathematics, 191, (3), 739-827, 2020
[ Download ] [ 2020-05-11 22:04:08 uploaded by zhang_lei ] [ 34 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[5] Uniformity in Mordell-Lang for curves

Vesselin Dimitrov University of Toronto Ziyang Gao CNRS, IMJ-PRG Philipp Habegger University of Basel

Number Theory mathscidoc:2005.24001

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[6] A conjecture based on Somos-4 sequence and its extension

Xiang-Ke Chang Xing-Biao Hu

Number Theory mathscidoc:1912.43165

Linear Algebra and its Applications, 436, (11), 4285-4295, 2012.6
[ Download ] [ 2019-12-21 11:27:02 uploaded by Xiang_Ke_Chang ] [ 7 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] G^-local systems on smooth projective curves are potentially automorphic

Gebhard Böckle Universität Heidelberg Michael Harris Columbia University Chandrashekhar Khare University of California Los Angeles Jack A. Thorne University of Cambridge

Number Theory mathscidoc:1911.43042

Acta Mathematica, 223, (1), 1-111, 2019
[ Download ] [ 2019-11-28 15:36:19 uploaded by actaadmin ] [ 89 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8] The geometric Bogomolov conjecture

Serge Cantat Ziyang Gao Philipp Habegger Junyi Xie

Number Theory mathscidoc:1908.01007

2018
[ Download ] [ 2019-08-21 18:43:15 uploaded by xiejunyi ] [ 110 downloads ] [ 52 comments ] [ Abstract ] [ Full ]
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[9] On the residue method for period integrals

Aaron Pollack Duke University Chen Wan Massachusetts Institute of Technology Michal Zydor University of Michigan

Number Theory Representation Theory mathscidoc:1908.24004

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[10] A G_2-period of a Fourier coefficient of an Eisenstein series on E_6

Aaron Pollack Duke University Chen Wan Massachusetts Institute of Technology Michal Zydor University of Michigan

Number Theory Representation Theory mathscidoc:1908.24003

Israel Journal of Mathematics, to appear
[ Download ] [ 2019-08-20 23:58:36 uploaded by chenwan ] [ 125 downloads ] [ 170 comments ] [ Abstract ] [ Full ]
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[11] Multiplicity one theorem for the Ginzburg-Rallis model: The tempered case

Chen Wan Massachusetts Institute of Technology

Number Theory Representation Theory mathscidoc:1908.24002

Transactions of the AMS, 371, 7949-7994, 2019
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[12] A local trace formula for the generalized Shalika model

Raphael Beuzart-Plessis CNRS Chen Wan Massachusetts Institute of Technology

Number Theory Representation Theory mathscidoc:1908.24001

Duke Mathematical Journal, 168, (7), 1303-1385, 2019
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[13] The Drinfeld symmetric space and local Langlands correspondence II

Haoran Wang Tsinghua University

Number Theory mathscidoc:1906.24002

Math. Ann., 369, 1081-1130, 2017
[ Download ] [ 2019-06-26 18:08:38 uploaded by Haoran ] [ 101 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[14] The Drinfeld symmetric space and local Langlands correspondence I

Haoran Wang Tsinghua University

Number Theory mathscidoc:1906.24001

Math. Z., 278, 829-857, 2014
[ Download ] [ 2019-06-26 18:05:34 uploaded by Haoran ] [ 103 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] Taylor coefficients of t-motivic multiple zeta values and explicit formulae

Chieh-Yu Chang National Tsing Hua University Nathan Green University of California at San Diego Yoshinori Mishiba University of the Ryukyus

Number Theory mathscidoc:1904.24003

[ Download ] [ 2019-04-30 21:23:11 uploaded by cychang ] [ 118 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[16] On Kronecker terms over global function fields

Fu-Tsun Wei National Tsing Hua University

Number Theory mathscidoc:1904.24002

Inventiones mathematicae, 2020.1
[ Download ] [ 2019-04-30 21:18:20 uploaded by yfwfc1208 ] [ 120 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[17] On Furusho's Conjecture over Function Fields

Chieh-Yu Chang National Tsing Hua University Yoshinori Mishiba University of the Ryukyus

Number Theory mathscidoc:1904.24001

[ Download ] [ 2019-04-30 21:17:56 uploaded by cychang ] [ 100 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[18] A relative Szemerédi theorem

David Conlon Oxford Jacob Fox Stanford Yufei Zhao MIT

Combinatorics Number Theory mathscidoc:1904.06001

Geometric and Functional Analysis , 25, 733-762, 2015
[ Download ] [ 2019-04-11 12:02:20 uploaded by yufeizhao ] [ 150 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[19] Genus periods, genus points and congruent number problem

Ye Tian Morningside center of Mathematics, Chinese Academy of Sciences Xinyi Yuan University of California, Berkeley Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07018

Asian Journal of Mathematics, 21, (4), 721-774, 2017
[ Download ] [ 2018-08-16 23:28:49 uploaded by shouwu ] [ 347 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] The arithmetic Hodge index theorem for adelic line bundles

Xinyi Yuan UC Berkeley Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07017

Mathematische Annalen, 367, 1123-1171, 2017
[ Download ] [ 2018-08-16 23:09:35 uploaded by shouwu ] [ 231 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] Towards a Dynamical Manin–Mumford Conjecture

Dragos Ghioca University of British Columbia Thomas J. Tucker University of Rochester Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07016

International Mathematics Research Notices, 2011, (22), 5109–5122, 2011
[ Download ] [ 2018-08-16 22:35:41 uploaded by shouwu ] [ 211 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] Arithmetic of Shimura curves

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07015

SCIENCE CHINA Mathematics, 53, (3), 573–592, 2010
[ Download ] [ 2018-08-16 22:15:21 uploaded by shouwu ] [ 501 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] Gross-Schoen cycles and Dualising sheaves

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07014

Inventiones Mathmeticae, 179, (1), 1-73, 2010
[ Download ] [ 2018-08-16 15:22:43 uploaded by shouwu ] [ 197 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] The Gross-Kohnen-Zagier Theorem over Totally Real Fields

Xinyi Yuan Columbia University Shou-Wu Zhang Princeton University Wei Zhang Columbia University

Number Theory mathscidoc:1808.07013

Compositio Mathematica, 145, 1147–1162, 2009
[ Download ] [ 2018-08-16 15:19:30 uploaded by shouwu ] [ 165 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] Generic abelian varieties with real multiplication are not Jacobians

Johan de Jong Columbia University Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07012

Diophantine geometry, 165-172, 2007
[ Download ] [ 2018-08-16 15:15:14 uploaded by shouwu ] [ 257 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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