# zbMATH — the first resource for mathematics

## Emerton, Matthew

Compute Distance To:
 Author ID: emerton.matthew Published as: Emerton, Matthew; Emerton, M. Homepage: http://www.math.uchicago.edu/~emerton/ External Links: MGP · Wikidata · MathOverflow · GND
 Documents Indexed: 41 Publications since 1999, including 2 Books
all top 5

#### Co-Authors

 14 single-authored 9 Calegari, Frank 8 Gee, Toby 4 Paškūnas, Vytautas 3 Kisin, Mark 2 Caraiani, Ana 2 Geraghty, David 2 Reduzzi, Davide A. 2 Shin, Sug Woo 2 Xiao, Liang 1 Boxer, George 1 Breuil, Christophe 1 Helm, David 1 Herzig, Florian 1 Levin, Brandon 1 Madapusi Pera, Keerthi 1 Mavrides, Lambros 1 Nadler, David 1 Patrikis, Stefan T. 1 Pollack, Robert 1 Savitt, David 1 Vilonen, Kari 1 Weston, Tom
all top 5

#### Serials

 4 Inventiones Mathematicae 3 Duke Mathematical Journal 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Mathematische Annalen 2 IMRN. International Mathematics Research Notices 2 Annals of Mathematics. Second Series 2 Forum of Mathematics, Sigma 1 Israel Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Mathematical Research Letters 1 Journal of the Institute of Mathematics of Jussieu 1 Pure and Applied Mathematics Quarterly 1 Astérisque 1 Groups, Geometry, and Dynamics 1 Algebra & Number Theory 1 Cambridge Journal of Mathematics 1 Algebraic Geometry 1 Journal de l’École Polytechnique – Mathématiques
all top 5

#### Fields

 31 Number theory (11-XX) 18 Topological groups, Lie groups (22-XX) 8 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 561 times in 360 Documents Cited by Year
On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms. Zbl 1090.22008
Emerton, Matthew
2006
Variation of Iwasawa invariants in Hida families. Zbl 1093.11065
Emerton, Matthew; Pollack, Robert; Weston, Tom
2006
Jacquet modules of locally analytic representations of $$p$$-adic reductive groups. I: Construction and first properties. Zbl 1117.22008
Emerton, Matthew
2006
A local-global compatibility conjecture in the $$p$$-adic Langlands programme for $$\text{GL}_{2}/\mathbb Q$$. Zbl 1254.11106
Emerton, Matthew
2006
A geometric perspective on the Breuil-Mézard conjecture. Zbl 1318.11061
Emerton, Matthew; Gee, Toby
2014
Patching and the $$p$$-adic local Langlands correspondence. Zbl 1403.11073
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
2016
Ordinary parts of admissible representations of $$p$$-adic reductive groups. I: Definition and first properties. Zbl 1205.22013
Emerton, Matthew
2010
Locally analytic vectors in representations of locally $$p$$-adic analytic groups. Zbl 1430.22020
Emerton, Matthew
2017
The Riemann-Hilbert correspondence for unit $$F$$-crystals. Zbl 1056.14025
Emerton, Matthew; Kisin, Mark
2004
Completed cohomology – a survey. Zbl 1288.11056
Calegari, Frank; Emerton, Matthew
2012
Weight cycling and Serre-type conjectures for unitary groups. Zbl 1283.11083
Emerton, Matthew; Gee, Toby; Herzig, Florian
2013
The local Langlands correspondence for $$\mathrm{GL}_n$$ in families. (La correspondance de Langlands local pour $$GL_n$$ dans les familles.) Zbl 1321.11055
Emerton, Matthew; Helm, David
2014
Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms. Zbl 1195.22015
Calegari, Frank; Emerton, Matthew
2009
Ordinary parts of admissible representations of $$p$$-adic reductive groups. II: Derived functors. Zbl 1205.22014
Emerton, Matthew
2010
$$p$$-adic $$L$$-functions and unitary completions of representations of $$p$$-adic reductive groups. Zbl 1092.11024
Emerton, Matthew
2005
Lattices in the cohomology of Shimura curves. Zbl 1396.11089
Emerton, Matthew; Gee, Toby; Savitt, David
2015
On the ramification of Hecke algebras at Eisenstein primes. Zbl 1145.11314
Calegari, Frank; Emerton, Matthew
2005
Ordinary $$p$$-adic representations of $$\text{GL}_2 (\mathbb Q_p)$$ and local-global compatibility. (Représentations $$p$$-adiques ordinaires de $$\text{GL}_2 (\mathbb Q_p)$$ et compatibilité local-global.) Zbl 1251.11043
Breuil, Christophe; Emerton, Matthew
2010
Supersingular elliptic curves, theta series and weight two modular forms. Zbl 1125.11318
Emerton, Matthew
2002
Optimal quotients of modular Jacobians. Zbl 1061.11018
Emerton, Matthew
2003
$$p$$-adic Hodge-theoretic properties of étale cohomology with $$\mod{p}$$ coefficients, and the cohomology of Shimura varieties. Zbl 1321.11050
Emerton, Matthew; Gee, Toby
2015
Unit $$L$$-functions and a conjecture of Katz. Zbl 1076.14027
Emerton, Matthew; Kisin, Mark
2001
Mod-$$p$$ cohomology growth in $$p$$-adic analytic towers of 3-manifolds. Zbl 1242.57014
Calegari, Frank; Emerton, Matthew
2011
Locally analytic representation theory of $$p$$-adic reductive groups: a summary of some recent developments. Zbl 1149.22014
Emerton, Matthew
2007
An introduction to the Riemann-Hilbert correspondence for unit $$F$$-crystals. Zbl 1104.14012
Emerton, Matthew; Kisin, Mark
2004
A geometric Jacquet functor. Zbl 1134.22300
Emerton, M.; Nadler, D.; Vilonen, K.
2004
The Eisenstein ideal in Hida’s ordinary Hecke algebra. Zbl 0952.11010
Emerton, Matthew
1999
The Hecke algebra $$T_k$$ has large index. Zbl 1153.11310
Calegari, Frank; Emerton, Matthew
2004
Completed cohomology and the $$p$$-adic Langlands program. Zbl 1373.11039
Emerton, Matthew
2014
Patching and the $$p$$-adic Langlands program for $$\mathrm{GL}_{2}(\mathbb{Q}_{p})$$. Zbl 1461.11157
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
2017
Homological stability for completed homology. Zbl 1404.11071
Calegari, Frank; Emerton, Matthew
2016
Elliptic curves of odd modular degree. Zbl 1275.11096
Calegari, Frank; Emerton, Matthew
2009
On the effaceability of certain $$\delta$$-functors. Zbl 1198.22010
Emerton, Matthew; Paškūnas, Vytautas
2010
A new proof of a theorem of Hida. Zbl 0928.14018
Emerton, Matthew
1999
Galois representations and torsion in the coherent cohomology of Hilbert modular varieties. Zbl 1430.11081
Emerton, Matthew; Reduzzi, Davide A.; Xiao, Liang
2017
Unramifiedness of Galois representations arising from Hilbert modular surfaces. Zbl 1433.11070
Emerton, Matthew; Reduzzi, Davide; Xiao, Liang
2017
Explicit Serre weights for two-dimensional Galois representations. Zbl 1417.11096
Calegari, Frank; Emerton, Matthew; Gee, Toby; Mavrides, Lambros
2017
On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras. (Sur la densité des points supercuspidaux de poids régulier fixé dans des anneaux locaux de déformations et des algèbres de Hecke globales.) Zbl 07179023
Emerton, Matthew; Paškūnas, Vytautas
2020
Compatible systems of Galois representations associated to the exceptional group $$E_6$$. Zbl 07013705
Boxer, George; Calegari, Frank; Emerton, Matthew; Levin, Brandon; Madapusi Pera, Keerthi; Patrikis, Stefan
2019
On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras. (Sur la densité des points supercuspidaux de poids régulier fixé dans des anneaux locaux de déformations et des algèbres de Hecke globales.) Zbl 07179023
Emerton, Matthew; Paškūnas, Vytautas
2020
Compatible systems of Galois representations associated to the exceptional group $$E_6$$. Zbl 07013705
Boxer, George; Calegari, Frank; Emerton, Matthew; Levin, Brandon; Madapusi Pera, Keerthi; Patrikis, Stefan
2019
Locally analytic vectors in representations of locally $$p$$-adic analytic groups. Zbl 1430.22020
Emerton, Matthew
2017
Patching and the $$p$$-adic Langlands program for $$\mathrm{GL}_{2}(\mathbb{Q}_{p})$$. Zbl 1461.11157
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
2017
Galois representations and torsion in the coherent cohomology of Hilbert modular varieties. Zbl 1430.11081
Emerton, Matthew; Reduzzi, Davide A.; Xiao, Liang
2017
Unramifiedness of Galois representations arising from Hilbert modular surfaces. Zbl 1433.11070
Emerton, Matthew; Reduzzi, Davide; Xiao, Liang
2017
Explicit Serre weights for two-dimensional Galois representations. Zbl 1417.11096
Calegari, Frank; Emerton, Matthew; Gee, Toby; Mavrides, Lambros
2017
Patching and the $$p$$-adic local Langlands correspondence. Zbl 1403.11073
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
2016
Homological stability for completed homology. Zbl 1404.11071
Calegari, Frank; Emerton, Matthew
2016
Lattices in the cohomology of Shimura curves. Zbl 1396.11089
Emerton, Matthew; Gee, Toby; Savitt, David
2015
$$p$$-adic Hodge-theoretic properties of étale cohomology with $$\mod{p}$$ coefficients, and the cohomology of Shimura varieties. Zbl 1321.11050
Emerton, Matthew; Gee, Toby
2015
A geometric perspective on the Breuil-Mézard conjecture. Zbl 1318.11061
Emerton, Matthew; Gee, Toby
2014
The local Langlands correspondence for $$\mathrm{GL}_n$$ in families. (La correspondance de Langlands local pour $$GL_n$$ dans les familles.) Zbl 1321.11055
Emerton, Matthew; Helm, David
2014
Completed cohomology and the $$p$$-adic Langlands program. Zbl 1373.11039
Emerton, Matthew
2014
Weight cycling and Serre-type conjectures for unitary groups. Zbl 1283.11083
Emerton, Matthew; Gee, Toby; Herzig, Florian
2013
Completed cohomology – a survey. Zbl 1288.11056
Calegari, Frank; Emerton, Matthew
2012
Mod-$$p$$ cohomology growth in $$p$$-adic analytic towers of 3-manifolds. Zbl 1242.57014
Calegari, Frank; Emerton, Matthew
2011
Ordinary parts of admissible representations of $$p$$-adic reductive groups. I: Definition and first properties. Zbl 1205.22013
Emerton, Matthew
2010
Ordinary parts of admissible representations of $$p$$-adic reductive groups. II: Derived functors. Zbl 1205.22014
Emerton, Matthew
2010
Ordinary $$p$$-adic representations of $$\text{GL}_2 (\mathbb Q_p)$$ and local-global compatibility. (Représentations $$p$$-adiques ordinaires de $$\text{GL}_2 (\mathbb Q_p)$$ et compatibilité local-global.) Zbl 1251.11043
Breuil, Christophe; Emerton, Matthew
2010
On the effaceability of certain $$\delta$$-functors. Zbl 1198.22010
Emerton, Matthew; Paškūnas, Vytautas
2010
Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms. Zbl 1195.22015
Calegari, Frank; Emerton, Matthew
2009
Elliptic curves of odd modular degree. Zbl 1275.11096
Calegari, Frank; Emerton, Matthew
2009
Locally analytic representation theory of $$p$$-adic reductive groups: a summary of some recent developments. Zbl 1149.22014
Emerton, Matthew
2007
On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms. Zbl 1090.22008
Emerton, Matthew
2006
Variation of Iwasawa invariants in Hida families. Zbl 1093.11065
Emerton, Matthew; Pollack, Robert; Weston, Tom
2006
Jacquet modules of locally analytic representations of $$p$$-adic reductive groups. I: Construction and first properties. Zbl 1117.22008
Emerton, Matthew
2006
A local-global compatibility conjecture in the $$p$$-adic Langlands programme for $$\text{GL}_{2}/\mathbb Q$$. Zbl 1254.11106
Emerton, Matthew
2006
$$p$$-adic $$L$$-functions and unitary completions of representations of $$p$$-adic reductive groups. Zbl 1092.11024
Emerton, Matthew
2005
On the ramification of Hecke algebras at Eisenstein primes. Zbl 1145.11314
Calegari, Frank; Emerton, Matthew
2005
The Riemann-Hilbert correspondence for unit $$F$$-crystals. Zbl 1056.14025
Emerton, Matthew; Kisin, Mark
2004
An introduction to the Riemann-Hilbert correspondence for unit $$F$$-crystals. Zbl 1104.14012
Emerton, Matthew; Kisin, Mark
2004
A geometric Jacquet functor. Zbl 1134.22300
Emerton, M.; Nadler, D.; Vilonen, K.
2004
The Hecke algebra $$T_k$$ has large index. Zbl 1153.11310
Calegari, Frank; Emerton, Matthew
2004
Optimal quotients of modular Jacobians. Zbl 1061.11018
Emerton, Matthew
2003
Supersingular elliptic curves, theta series and weight two modular forms. Zbl 1125.11318
Emerton, Matthew
2002
Unit $$L$$-functions and a conjecture of Katz. Zbl 1076.14027
Emerton, Matthew; Kisin, Mark
2001
The Eisenstein ideal in Hida’s ordinary Hecke algebra. Zbl 0952.11010
Emerton, Matthew
1999
A new proof of a theorem of Hida. Zbl 0928.14018
Emerton, Matthew
1999
all top 5

#### Cited by 319 Authors

 10 Emerton, Matthew 9 Gee, Toby 9 Schmidt, Tobias 8 Morra, Stefano 8 Paškūnas, Vytautas 8 Sorensen, Claus Mazanti 7 Breuil, Christophe 7 Herzig, Florian 7 Le, Daniel 6 Agashe, Amod 6 Calegari, Frank 6 Hauseux, Julien 6 Schraen, Benjamin 5 Bellaïche, Joël 5 Bergeron, Nicolas 5 Chojecki, Przemyslaw 5 Ding, Yiwen 5 Lei, Antonio 5 Levin, Brandon 5 Strauch, Matthias 5 Vignéras, Marie-France 4 Blickle, Manuel 4 Caraiani, Ana 4 Dospinescu, Gabriel 4 Geraghty, David 4 Hellmann, Eugen 4 Helm, David 4 Johansson, Christian 4 Kohlhaase, Jan 4 Kozioł, Karol 4 Newton, James 4 Park, Chol 4 Scholze, Peter 4 Shekhar, Sudhanshu 4 Stäbler, Axel 4 Venkatesh, Akshay 3 Aouissi, Siham 3 Azizi, Abdelmalek 3 Bergdall, John 3 Böckle, Gebhard 3 Büyükboduk, Kâzim 3 Castella, Francesc 3 Church, Thomas 3 David, Agnès 3 Ismaili, Moulay Chrif 3 Kionke, Steffen 3 Le Hung, Bao V. 3 Ludwig, Judith 3 Mézard, Ariane 3 Papikian, Mihran 3 Rustom, Nadim 3 Savitt, David 3 Shin, Sug Woo 3 Shotton, Jack 3 3 Wang-Erickson, Carl 3 Weston, Tom 3 Witte, Malte 2 Ahmed, Suman 2 Andreatta, Fabrizio 2 Barnet-Lamb, Thomas 2 Berger, Tobias 2 Bethuel, Fabrice 2 Buzzard, Kevin 2 Campbell, Justin 2 Caruso, Xavier 2 Colmez, Pierre 2 Delbourgo, Daniel 2 Dimitrov, Mladen 2 Fouquet, Olivier 2 Gao, Hui 2 Ghate, Eknath P. 2 Gulotta, Daniel R. 2 Hansen, David 2 Hatley, Jeffrey 2 Henniart, Guy M. 2 Howard, Benjamin 2 Hu, Yongquan 2 Huyghe, Christine 2 Iovita, Adrian 2 Jha, Somnath 2 Kazalicki, Matija 2 Kidwell, Keenan 2 Kim, Byoung Du 2 Kim, Chan-Ho 2 Kiming, Ian 2 Kisin, Mark 2 Klosin, Krzysztof 2 Kohen, Daniel 2 Lecouturier, Emmanuel 2 Loeffler, David 2 Longo, Matteo 2 Lück, Wolfgang 2 Manning, Jeffrey A. 2 Miller, Jeremy A. 2 Moss, Gilbert 2 Nadimpalli, Santosh 2 Ochiai, Tadashi 2 Orlandi, Giandomenico 2 Orlik, Sascha ...and 219 more Authors
all top 5

#### Cited in 69 Serials

 27 Journal of Number Theory 20 Compositio Mathematica 20 Mathematische Annalen 15 Duke Mathematical Journal 13 Annales de l’Institut Fourier 13 Inventiones Mathematicae 13 Transactions of the American Mathematical Society 12 Journal de Théorie des Nombres de Bordeaux 12 International Journal of Number Theory 10 Israel Journal of Mathematics 10 Representation Theory 9 Mathematische Zeitschrift 8 Journal of Algebra 8 Manuscripta Mathematica 8 Journal of the American Mathematical Society 8 Selecta Mathematica. New Series 8 Annals of Mathematics. Second Series 8 Forum of Mathematics, Sigma 7 Journal für die Reine und Angewandte Mathematik 7 Algebra & Number Theory 6 Documenta Mathematica 6 Journal of the Institute of Mathematics of Jussieu 6 Annales Mathématiques du Québec 5 Advances in Mathematics 5 Journal de l’École Polytechnique – Mathématiques 5 Research in Number Theory 4 Journal of Pure and Applied Algebra 4 Pacific Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 The Ramanujan Journal 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of the London Mathematical Society. Second Series 3 Forum Mathematicum 3 Geometric and Functional Analysis. GAFA 3 Groups, Geometry, and Dynamics 3 Forum of Mathematics, Pi 2 Archive for Rational Mechanics and Analysis 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Publications Mathématiques 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Bulletin of the American Mathematical Society. New Series 2 Research in the Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Mathematics of Computation 1 Acta Arithmetica 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Journal of the Ramanujan Mathematical Society 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Applied Categorical Structures 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 Bulletin des Sciences Mathématiques 1 Geometry & Topology 1 Journal of High Energy Physics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Japanese Journal of Mathematics. 3rd Series 1 Kyoto Journal of Mathematics 1 Tunisian Journal of Mathematics
all top 5

#### Cited in 20 Fields

 295 Number theory (11-XX) 95 Topological groups, Lie groups (22-XX) 92 Algebraic geometry (14-XX) 33 Group theory and generalizations (20-XX) 19 Commutative algebra (13-XX) 8 Associative rings and algebras (16-XX) 8 Manifolds and cell complexes (57-XX) 6 $$K$$-theory (19-XX) 6 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Category theory; homological algebra (18-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.