## Zhu, Xinwen

Compute Distance To:
 Author ID: zhu.xinwen Published as: Zhu, Xinwen Further Spellings: 朱歆文 Homepage: https://pma.caltech.edu/people/xinwen-zhu External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru Awards: New Horizons in Mathematics Prize (2020)
 Documents Indexed: 25 Publications since 2009 Co-Authors: 19 Co-Authors with 17 Joint Publications 655 Co-Co-Authors
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### Co-Authors

 8 single-authored 2 Chen, Tsao-Hsien 2 Frenkel, Edward V. 2 Huang, An 2 Lian, Bong H. 2 Liu, Yifeng 2 Osipov, Denis Vasil’evich 2 Pappas, Georgios 2 Xiao, Liang 2 Zhang, Wei 1 Beuzart-Plessis, Raphaël 1 Deng, Ping 1 Donkin, Stephen 1 Horng, Shi-Jinn 1 Li, Tianrui 1 Liu, Ruochuan 1 Tian, Yichao 1 Wang, Hongjun 1 Xu, Daxin 1 Yau, Shing-Tung 1 Yun, Zhiwei
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### Serials

 5 Inventiones Mathematicae 3 Annals of Mathematics. Second Series 2 Mathematical Research Letters 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Information Sciences 1 Journal of Differential Geometry 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Representation Theory 1 Algebra & Number Theory
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### Fields

 18 Algebraic geometry (14-XX) 10 Number theory (11-XX) 5 Group theory and generalizations (20-XX) 5 Topological groups, Lie groups (22-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 222 times in 156 Documents Cited by Year
Local models of Shimura varieties and a conjecture of Kottwitz. Zbl 1294.14012
Pappas, Georgios; Zhu, Xinwen
2013
Affine Grassmannians and the geometric Satake in mixed characteristic. Zbl 1390.14072
Zhu, Xinwen
2017
An introduction to affine Grassmannians and the geometric Satake equivalence. Zbl 1453.14122
Zhu, Xinwen
2017
On the coherence conjecture of Pappas and Rapoport. Zbl 1300.14042
Zhu, Xinwen
2014
The geometric Satake correspondence for ramified groups. Zbl 1392.11036
Zhu, Xinwen
2015
Affine Demazure modules and $$T$$-fixed point subschemes in the affine Grassmannian. Zbl 1167.14033
Zhu, Xinwen
2009
Rigidity and a Riemann-Hilbert correspondence for $$p$$-adic local systems. Zbl 1375.14090
Liu, Ruochuan; Zhu, Xinwen
2017
A categorical proof of the Parshin reciprocity laws on algebraic surfaces. Zbl 1237.19007
Osipov, Denis; Zhu, Xinwen
2011
Gerbal representations of double loop groups. Zbl 1280.22024
Frenkel, Edward; Zhu, Xinwen
2012
The two-dimensional Contou-Carrère symbol and reciprocity laws. Zbl 1346.19003
Osipov, Denis; Zhu, Xinwen
2016
Integral homology of loop groups via Langlands dual groups. Zbl 1267.57041
Yun, Zhiwei; Zhu, Xinwen
2011
Any flat bundle on a punctured disc has an oper structure. Zbl 1220.14013
Frenkel, Edward; Zhu, Xinwen
2010
Geometric Satake, categorical traces, and arithmetic of Shimura varieties. Zbl 1470.11169
Zhu, Xinwen
2018
Geometric Langlands in prime characteristic. Zbl 1390.14044
Chen, Tsao-Hsien; Zhu, Xinwen
2017
Frenkel-Gross’ irregular connection and Heinloth-Ngô-Yun’s are the same. Zbl 1393.14011
Zhu, Xinwen
2017
Period integrals and the Riemann-Hilbert correspondence. Zbl 1387.14042
Huang, An; Lian, Bong H.; Zhu, Xinwen
2016
Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture. Zbl 07395719
Beuzart-Plessis, Raphaël; Liu, Yifeng; Zhang, Wei; Zhu, Xinwen
2021
Non-abelian Hodge theory for algebraic curves in characteristic $$p$$. Zbl 1330.14015
Chen, Tsao-Hsien; Zhu, Xinwen
2015
Chain integral solutions to tautological systems. Zbl 1364.14031
Huang, An; Lian, Bong H.; Yau, Shing-Tung; Zhu, Xinwen
2016
Linear discriminant analysis guided by unsupervised ensemble learning. Zbl 1443.68145
Deng, Ping; Wang, Hongjun; Li, Tianrui; Horng, Shi-Jinn; Zhu, Xinwen
2019
Erratum to: Local models of Shimura varieties and a conjecture of Kottwitz. Zbl 1275.14025
Pappas, Georgios; Zhu, Xinwen
2013
On vector-valued twisted conjugation invariant functions on a group; with an appendix by Stephen Donkin. Zbl 1469.20049
Xiao, Liang; Zhu, Xinwen
2019
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives. Zbl 07495375
Liu, Yifeng; Tian, Yichao; Xiao, Liang; Zhang, Wei; Zhu, Xinwen
2022
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives. Zbl 07495375
Liu, Yifeng; Tian, Yichao; Xiao, Liang; Zhang, Wei; Zhu, Xinwen
2022
Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture. Zbl 07395719
Beuzart-Plessis, Raphaël; Liu, Yifeng; Zhang, Wei; Zhu, Xinwen
2021
Linear discriminant analysis guided by unsupervised ensemble learning. Zbl 1443.68145
Deng, Ping; Wang, Hongjun; Li, Tianrui; Horng, Shi-Jinn; Zhu, Xinwen
2019
On vector-valued twisted conjugation invariant functions on a group; with an appendix by Stephen Donkin. Zbl 1469.20049
Xiao, Liang; Zhu, Xinwen
2019
Geometric Satake, categorical traces, and arithmetic of Shimura varieties. Zbl 1470.11169
Zhu, Xinwen
2018
Affine Grassmannians and the geometric Satake in mixed characteristic. Zbl 1390.14072
Zhu, Xinwen
2017
An introduction to affine Grassmannians and the geometric Satake equivalence. Zbl 1453.14122
Zhu, Xinwen
2017
Rigidity and a Riemann-Hilbert correspondence for $$p$$-adic local systems. Zbl 1375.14090
Liu, Ruochuan; Zhu, Xinwen
2017
Geometric Langlands in prime characteristic. Zbl 1390.14044
Chen, Tsao-Hsien; Zhu, Xinwen
2017
Frenkel-Gross’ irregular connection and Heinloth-Ngô-Yun’s are the same. Zbl 1393.14011
Zhu, Xinwen
2017
The two-dimensional Contou-Carrère symbol and reciprocity laws. Zbl 1346.19003
Osipov, Denis; Zhu, Xinwen
2016
Period integrals and the Riemann-Hilbert correspondence. Zbl 1387.14042
Huang, An; Lian, Bong H.; Zhu, Xinwen
2016
Chain integral solutions to tautological systems. Zbl 1364.14031
Huang, An; Lian, Bong H.; Yau, Shing-Tung; Zhu, Xinwen
2016
The geometric Satake correspondence for ramified groups. Zbl 1392.11036
Zhu, Xinwen
2015
Non-abelian Hodge theory for algebraic curves in characteristic $$p$$. Zbl 1330.14015
Chen, Tsao-Hsien; Zhu, Xinwen
2015
On the coherence conjecture of Pappas and Rapoport. Zbl 1300.14042
Zhu, Xinwen
2014
Local models of Shimura varieties and a conjecture of Kottwitz. Zbl 1294.14012
Pappas, Georgios; Zhu, Xinwen
2013
Erratum to: Local models of Shimura varieties and a conjecture of Kottwitz. Zbl 1275.14025
Pappas, Georgios; Zhu, Xinwen
2013
Gerbal representations of double loop groups. Zbl 1280.22024
Frenkel, Edward; Zhu, Xinwen
2012
A categorical proof of the Parshin reciprocity laws on algebraic surfaces. Zbl 1237.19007
Osipov, Denis; Zhu, Xinwen
2011
Integral homology of loop groups via Langlands dual groups. Zbl 1267.57041
Yun, Zhiwei; Zhu, Xinwen
2011
Any flat bundle on a punctured disc has an oper structure. Zbl 1220.14013
Frenkel, Edward; Zhu, Xinwen
2010
Affine Demazure modules and $$T$$-fixed point subschemes in the affine Grassmannian. Zbl 1167.14033
Zhu, Xinwen
2009
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### Cited by 176 Authors

 9 He, Xuhua 7 Zhu, Xinwen 6 Osipov, Denis Vasil’evich 6 Richarz, Timo 5 Lan, Kai-Wen 5 Pappas, Georgios 4 Gorchinskiĭ, Sergeĭ Olegovich 4 Haines, Thomas J. 4 Hamacher, Paul 4 Levin, Brandon 4 Nie, Sian 4 Riche, Simon 4 Viehmann, Eva 4 Weekes, Alex 3 Chen, Tsao-Hsien 3 Ivanov, Alexander B. 3 Kamnitzer, Joel 3 Kim, Wansu 3 Muthiah, Dinakar 3 Rapoport, Michael 3 Scholbach, Jakob 3 Stroh, Benoît 3 Wang, Haining 3 Yacobi, Oded 2 Achar, Pramod N. 2 Chan, Charlotte 2 Chen, Ling 2 Finkelberg, Michael Vladlenovich 2 Frenkel, Edward V. 2 Gille, Philippe 2 Görtz, Ulrich 2 Gröchenig, Michael 2 Imai, Naoki 2 Kamgarpour, Masoud 2 Kato, Syu 2 Lam, Thomas F. 2 Le Hung, Bao V. 2 Le, Daniel 2 Liu, Dongwen 2 Rostami, Sean 2 Safronov, Pavel 2 Scholze, Peter 2 Shen, Xu 2 Tian, Yichao 2 Xiao, Liang 2 Yu, Chia-Fu 2 Yun, Zhiwei 2 Zhang, Wei 2 Zhou, Rong 1 Anschütz, Johannes 1 Ardakov, Konstantin 1 Baumann, Pierre 1 Beraldo, Dario 1 Beuzart-Plessis, Raphaël 1 Biswas, Indranil 1 Bode, Andreas 1 Bräunling, Oliver 1 Braverman, Alexander 1 Bültel, Oliver 1 Caraiani, Ana 1 Casbi, Elie 1 Cass, Robert 1 Casselman, William A. 1 Cautis, Sabin 1 Cely, Jorge E. 1 Česnavičius, Kęstutis 1 Chaudouard, Pierre-Henri 1 Chen, Jingyue 1 Chen, Miaofen 1 Chernousov, Vladimir I. 1 Chi, Jingren 1 Chinburg, Ted 1 Contou-Carrere, Carlos Enrique 1 de Jong, Aise Johan 1 de Shalit, Ehud 1 Deng, Ping 1 Deninger, Christopher 1 Derryberry, Richard 1 Dumanski, Ilya 1 Elliott, Chris 1 Faltings, Gerd 1 Feigin, Evgeny 1 Feng, Shizhe 1 Feng, Tony 1 Florence, Mathieu 1 Ginzburg, Victor 1 Goren, Eyal Z. 1 Gross, Benedict Hyman 1 Hahn, Jeremy 1 Hales, Thomas Callister 1 Hartwig, Philipp 1 He, Siqi 1 Heinloth, Jochen 1 Heleodoro, Aron 1 Helm, David 1 Hernandez, David 1 Horozov, Ivan Emilov 1 Howard, Benjamin 1 Huang, An 1 Huang, Shinnyih ...and 76 more Authors
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### Cited in 64 Serials

 11 Compositio Mathematica 11 Mathematische Annalen 9 Selecta Mathematica. New Series 8 Duke Mathematical Journal 8 Journal of the American Mathematical Society 7 Forum of Mathematics, Sigma 6 Advances in Mathematics 5 Journal of Algebra 4 Annales de l’Institut Fourier 4 Inventiones Mathematicae 4 Mathematische Zeitschrift 4 Annals of Mathematics. Second Series 4 Forum of Mathematics, Pi 3 Journal für die Reine und Angewandte Mathematik 3 Transactions of the American Mathematical Society 3 Journal of Algebraic Geometry 3 Representation Theory 3 Journal of the Institute of Mathematics of Jussieu 3 Algebra & Number Theory 2 Communications in Mathematical Physics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Russian Mathematical Surveys 2 Publications Mathématiques 2 Manuscripta Mathematica 2 Geometric and Functional Analysis. GAFA 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Information Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 International Journal of Mathematics 1 Applied Mathematical Modelling 1 St. Petersburg Mathematical Journal 1 Documenta Mathematica 1 Transformation Groups 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Journal of $$K$$-Theory 1 Annales Mathématiques du Québec 1 EMS Surveys in Mathematical Sciences 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Transactions of the American Mathematical Society. Series B 1 Journal of Combinatorial Algebra 1 Higher Structures 1 Tunisian Journal of Mathematics 1 Peking Mathematical Journal
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### Cited in 30 Fields

 122 Algebraic geometry (14-XX) 69 Number theory (11-XX) 42 Group theory and generalizations (20-XX) 29 Topological groups, Lie groups (22-XX) 13 $$K$$-theory (19-XX) 12 Nonassociative rings and algebras (17-XX) 5 Commutative algebra (13-XX) 5 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX)

### Wikidata Timeline

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