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Author ID: scholze.peter Recent zbMATH articles by "Scholze, Peter"
Published as: Scholze, Peter; Scholze, P.
Homepage: https://people.mpim-bonn.mpg.de/scholze/
External Links: MGP · Wikidata · MathOverflow · Math-Net.Ru · GND · IdRef · theses.fr
Videos: carmin.tv
Awards: Clay Research Award (2014) · EMS Prize (2016) · Fields Medal (2018)
Documents Indexed: 42 Publications since 2006, including 2 Books and 2 Additional arXiv Preprints
5 Contributions as Editor · 5 Further Contributions
Reviewing Activity: 4 Reviews
Biographic References: 11 Publications
Co-Authors: 30 Co-Authors with 26 Joint Publications
503 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 1,388 times in 711 Documents Cited by Year
Perfectoid spaces. Zbl 1263.14022
Scholze, Peter
156
2012
On torsion in the cohomology of locally symmetric varieties. Zbl 1345.14031
Scholze, Peter
120
2015
On topological cyclic homology. Zbl 1457.19007
Nikolaus, Thomas; Scholze, Peter
98
2018
Projectivity of the Witt vector affine Grassmannian. Zbl 1397.14064
Bhatt, Bhargav; Scholze, Peter
93
2017
\(p\)-adic Hodge theory for rigid-analytic varieties. Zbl 1297.14023
Scholze, Peter
91
2013
Integral \(p\)-adic Hodge theory. Zbl 1446.14011
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter
87
2018
Moduli of \(p\)-divisible groups. Zbl 1349.14149
Scholze, Peter; Weinstein, Jared
83
2013
Topological Hochschild homology and integral \(p\)-adic Hodge theory. Zbl 1478.14039
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter
81
2019
Berkeley lectures on \(p\)-adic geometry. Zbl 1475.14002
Scholze, Peter; Weinstein, Jared
78
2020
On the generic part of the cohomology of compact unitary Shimura varieties. Zbl 1401.11108
Caraiani, Ana; Scholze, Peter
76
2017
The pro-étale topology for schemes. Zbl 1351.19001
Bhatt, Bhargav; Scholze, Peter
74
2015
Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001
Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng
68
2010
The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields. Zbl 1305.22025
Scholze, Peter
56
2013
On the \(p\)-adic cohomology of the Lubin-Tate tower. Zbl 1419.14031
Scholze, Peter
45
2018
Prisms and prismatic cohomology. Zbl 07611906
Bhatt, Bhargav; Scholze, Peter
38
2022
Perfectoid spaces: a survey. Zbl 1327.14008
Scholze, Peter
32
2013
Integral \(p\)-adic Hodge theory-announcement. Zbl 1349.14070
Bhatt, B.; Morrow, M.; Scholze, P.
25
2015
Corrigendum: “\(p\)-adic Hodge theory for rigid-analytic varieties”. Zbl 1405.14049
Scholze, Peter
18
2016
On the cohomology of compact unitary group Shimura varieties at ramified split places. Zbl 1385.11041
Scholze, Peter; Shin, Sug Woo
16
2013
Canonical \(q\)-deformations in arithmetic geometry. Zbl 1461.14031
Scholze, Peter
16
2017
Potential automorphy over CM fields. Zbl 1521.11034
Allen, Patrick B.; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack A.
15
2023
The Langlands-Kottwitz method and deformation spaces of \(p\)-divisible groups. Zbl 1383.11082
Scholze, Peter
14
2013
Vanishing theorems for perverse sheaves on abelian varieties, revisited. Zbl 1454.14054
Bhatt, Bhargav; Schnell, Christian; Scholze, Peter
13
2018
\(p\)-adic geometry. Zbl 1441.14001
Scholze, Peter
11
2018
The Langlands-Kottwitz approach for the modular curve. Zbl 1309.14019
Scholze, Peter
9
2011
The Langlands-Kottwitz approach for some simple Shimura varieties. Zbl 1309.14020
Scholze, Peter
8
2013
Perfectoid spaces and their applications. Zbl 1373.14025
Scholze, Peter
6
2014
Liquid tensor experiment. Zbl 1522.68720
Scholze, Peter
6
2022
Prismatic \(F\)-crystals and crystalline Galois representations. Zbl 07693592
Bhatt, Bhargav; Scholze, Peter
5
2023
Working session: Topological cyclic homology. Abstracts from the working session held April 1–7, 2018. (Arbeitsgemeinschaft: Topological cyclic homology.) Zbl 1409.00093
5
2018
Purity for flat cohomology. Zbl 1528.14024
Česnavičius, Kęstutis; Scholze, Peter
4
2024
Correction to: “On topological cyclic homology”. Zbl 1451.19005
Nikolaus, Thomas; Scholze, Peter
4
2019
Perfectoid spaces. Lectures from the 20th Arizona winter school, University of Arizona, Tuscon, AZ, USA, March 11–17, 2017. With an introduction by Peter Scholze. Zbl 1428.14002
4
2019
Perfectoid Shimura varieties. Zbl 1355.14023
Scholze, Peter
2
2016
Relative perversity. Zbl 1534.14020
Hansen, David; Scholze, Peter
1
2023
Topological realisations of absolute Galois groups. Zbl 1439.14074
Kucharczyk, Robert A.; Scholze, Peter
1
2018
On nonnegative harmonic functions on a lattice. Zbl 1396.31007
Scholze, Peter
1
2006
Purity for flat cohomology. Zbl 1528.14024
Česnavičius, Kęstutis; Scholze, Peter
4
2024
Potential automorphy over CM fields. Zbl 1521.11034
Allen, Patrick B.; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack A.
15
2023
Prismatic \(F\)-crystals and crystalline Galois representations. Zbl 07693592
Bhatt, Bhargav; Scholze, Peter
5
2023
Relative perversity. Zbl 1534.14020
Hansen, David; Scholze, Peter
1
2023
Prisms and prismatic cohomology. Zbl 07611906
Bhatt, Bhargav; Scholze, Peter
38
2022
Liquid tensor experiment. Zbl 1522.68720
Scholze, Peter
6
2022
Berkeley lectures on \(p\)-adic geometry. Zbl 1475.14002
Scholze, Peter; Weinstein, Jared
78
2020
Topological Hochschild homology and integral \(p\)-adic Hodge theory. Zbl 1478.14039
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter
81
2019
Correction to: “On topological cyclic homology”. Zbl 1451.19005
Nikolaus, Thomas; Scholze, Peter
4
2019
Perfectoid spaces. Lectures from the 20th Arizona winter school, University of Arizona, Tuscon, AZ, USA, March 11–17, 2017. With an introduction by Peter Scholze. Zbl 1428.14002
4
2019
On topological cyclic homology. Zbl 1457.19007
Nikolaus, Thomas; Scholze, Peter
98
2018
Integral \(p\)-adic Hodge theory. Zbl 1446.14011
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter
87
2018
On the \(p\)-adic cohomology of the Lubin-Tate tower. Zbl 1419.14031
Scholze, Peter
45
2018
Vanishing theorems for perverse sheaves on abelian varieties, revisited. Zbl 1454.14054
Bhatt, Bhargav; Schnell, Christian; Scholze, Peter
13
2018
\(p\)-adic geometry. Zbl 1441.14001
Scholze, Peter
11
2018
Working session: Topological cyclic homology. Abstracts from the working session held April 1–7, 2018. (Arbeitsgemeinschaft: Topological cyclic homology.) Zbl 1409.00093
5
2018
Topological realisations of absolute Galois groups. Zbl 1439.14074
Kucharczyk, Robert A.; Scholze, Peter
1
2018
Projectivity of the Witt vector affine Grassmannian. Zbl 1397.14064
Bhatt, Bhargav; Scholze, Peter
93
2017
On the generic part of the cohomology of compact unitary Shimura varieties. Zbl 1401.11108
Caraiani, Ana; Scholze, Peter
76
2017
Canonical \(q\)-deformations in arithmetic geometry. Zbl 1461.14031
Scholze, Peter
16
2017
Corrigendum: “\(p\)-adic Hodge theory for rigid-analytic varieties”. Zbl 1405.14049
Scholze, Peter
18
2016
Perfectoid Shimura varieties. Zbl 1355.14023
Scholze, Peter
2
2016
On torsion in the cohomology of locally symmetric varieties. Zbl 1345.14031
Scholze, Peter
120
2015
The pro-étale topology for schemes. Zbl 1351.19001
Bhatt, Bhargav; Scholze, Peter
74
2015
Integral \(p\)-adic Hodge theory-announcement. Zbl 1349.14070
Bhatt, B.; Morrow, M.; Scholze, P.
25
2015
Perfectoid spaces and their applications. Zbl 1373.14025
Scholze, Peter
6
2014
\(p\)-adic Hodge theory for rigid-analytic varieties. Zbl 1297.14023
Scholze, Peter
91
2013
Moduli of \(p\)-divisible groups. Zbl 1349.14149
Scholze, Peter; Weinstein, Jared
83
2013
The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields. Zbl 1305.22025
Scholze, Peter
56
2013
Perfectoid spaces: a survey. Zbl 1327.14008
Scholze, Peter
32
2013
On the cohomology of compact unitary group Shimura varieties at ramified split places. Zbl 1385.11041
Scholze, Peter; Shin, Sug Woo
16
2013
The Langlands-Kottwitz method and deformation spaces of \(p\)-divisible groups. Zbl 1383.11082
Scholze, Peter
14
2013
The Langlands-Kottwitz approach for some simple Shimura varieties. Zbl 1309.14020
Scholze, Peter
8
2013
Perfectoid spaces. Zbl 1263.14022
Scholze, Peter
156
2012
The Langlands-Kottwitz approach for the modular curve. Zbl 1309.14019
Scholze, Peter
9
2011
Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001
Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng
68
2010
On nonnegative harmonic functions on a lattice. Zbl 1396.31007
Scholze, Peter
1
2006
all top 5

Cited by 655 Authors

25 Scholze, Peter
16 Bhatt, Bhargav
15 Mathew, Akhil
11 Kedlaya, Kiran Sridhara
9 Caraiani, Ana
9 Nizioł, Wiesława
9 Viehmann, Eva
8 Ash, Avner
8 Colmez, Pierre
8 Ma, Linquan
8 Newton, James
8 Nikolaus, Thomas
8 Thorne, Jack
7 He, Xuhua
7 Johansson, Christian
7 Shin, Sug Woo
7 Vezzani, Alberto
6 André, Yves
6 Antieau, Benjamin
6 Aubert, Anne-Marie
6 Calegari, Frank
6 Dospinescu, Gabriel
6 Elmanto, Elden
6 Görtz, Ulrich
6 Hansen, David
6 Li, Shizhang
6 Liu, Yongqiang
6 Nie, Sian
6 Shimomoto, Kazuma
6 Wang, Botong
6 Zhu, Xinwen
5 Anschütz, Johannes
5 Doud, Darrin
5 Emerton, Matthew
5 Hamacher, Paul
5 Heuer, Ben
5 Howe, Sean
5 Morrow, Matthew
5 Pappas, Georgios
5 Patchkoria, Irakli
5 Plymen, Roger J.
5 Rognes, John
5 Schwede, Karl E.
5 Shen, Xu
5 Weinstein, Jared
4 Beuzart-Plessis, Raphaël
4 Boyer, Pascal
4 Dotto, Emanuele
4 Gee, Toby
4 Gunnells, Paul E.
4 Hesselholt, Lars
4 Ivanov, Alexander B.
4 Kaletha, Tasho
4 Lan, Kai-Wen
4 Le Bras, Arthur-César
4 Liu, Ruochuan
4 Mondal, Shubhodip
4 Moon, Yong Suk
4 Paškūnas, Vytautas
4 Pilloni, Vincent
4 Richarz, Timo
4 Rosso, Giovanni
4 Tabuada, Gonçalo
4 Tsushima, Takahiro
4 Wilson, Dylan
4 Witaszek, Jakub
4 Xu, Bin
3 Achinger, Piotr
3 Andreatta, Fabrizio
3 Bartlett, Robin
3 Baum, Paul Frank
3 Česnavičius, Kęstutis
3 Chen, Miaofen
3 Clausen, Dustin
3 Davis, Christopher
3 Fargues, Laurent
3 Gan, Wee Teck
3 Geraghty, David
3 Guo, Haoyang
3 Hebestreit, Fabian
3 Hedayatzadeh, S. Mohammad Hadi
3 Heitmann, Raymond C.
3 Hong, Serin
3 Hu, Po
3 Iovita, Adrian
3 Ito, Kazuhiro
3 Kelly, Shane P.
3 Kim, Wansu
3 Koshikawa, Teruhisa
3 Kříž, Igor
3 Le Hung, Bao Viet
3 Le Stum, Bernard
3 Liu, Yifeng
3 Lourenço, João Nuno P.
3 Ludwig, Judith
3 McConnell, Mark
3 Moi, Kristian Jonsson
3 Moulinos, Tasos
3 Nguyen, Kieu Hieu
3 Park, Doosung
...and 555 more Authors
all top 5

Cited in 117 Serials

48 Compositio Mathematica
29 Forum of Mathematics, Sigma
27 Algebra & Number Theory
26 Inventiones Mathematicae
25 Advances in Mathematics
23 Mathematische Annalen
23 Journal of the Institute of Mathematics of Jussieu
22 Documenta Mathematica
21 Journal für die Reine und Angewandte Mathematik
20 Duke Mathematical Journal
19 Selecta Mathematica. New Series
16 Journal of Number Theory
16 Transactions of the American Mathematical Society
15 Journal of Algebra
14 Journal of Pure and Applied Algebra
14 Oberwolfach Reports
13 Mathematische Zeitschrift
11 Journal of the American Mathematical Society
11 Annals of Mathematics. Second Series
10 Proceedings of the American Mathematical Society
10 Forum of Mathematics, Pi
9 Manuscripta Mathematica
8 Proceedings of the London Mathematical Society. Third Series
8 Journal of the European Mathematical Society (JEMS)
8 International Journal of Number Theory
8 Journal of Topology
7 Publications Mathématiques
7 Bulletin of the American Mathematical Society. New Series
7 Journal de Théorie des Nombres de Bordeaux
7 Annals of \(K\)-Theory
6 Journal of Homotopy and Related Structures
6 Journal de l’École Polytechnique – Mathématiques
5 Pacific Journal of Mathematics
5 Representation Theory
5 Algebraic & Geometric Topology
5 Japanese Journal of Mathematics. 3rd Series
5 Annales Mathématiques du Québec
4 Communications in Algebra
4 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
4 Annales de l’Institut Fourier
4 Bulletin of the London Mathematical Society
4 Journal of the London Mathematical Society. Second Series
4 Nagoya Mathematical Journal
4 Rendiconti del Seminario Matematico della Università di Padova
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Journal of Algebraic Geometry
4 Geometry & Topology
4 European Journal of Mathematics
3 Israel Journal of Mathematics
3 Acta Mathematica Vietnamica
3 American Journal of Mathematics
3 Canadian Journal of Mathematics
3 Memoirs of the American Mathematical Society
3 Kyoto Journal of Mathematics
3 Research in Number Theory
3 Annales Henri Lebesgue
2 Acta Arithmetica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin de la Société Mathématique de France
2 Canadian Mathematical Bulletin
2 Mathematische Nachrichten
2 Forum Mathematicum
2 Journal of the Ramanujan Mathematical Society
2 Expositiones Mathematicae
2 Experimental Mathematics
2 The New York Journal of Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Noncommutative Geometry
2 Journal of Singularities
2 Research in the Mathematical Sciences
2 Transactions of the American Mathematical Society. Series B
2 Tunisian Journal of Mathematics
2 Peking Mathematical Journal
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Journal of Geometry and Physics
1 Annales Polonici Mathematici
1 Collectanea Mathematica
1 Commentarii Mathematici Helvetici
1 Glasgow Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Geometry
1 Journal of the Indian Institute of Science
1 Mathematika
1 Michigan Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Topology and its Applications
1 Annals of Global Analysis and Geometry
1 Journal of Symbolic Computation
1 Extracta Mathematicae
1 Revista Matemática Iberoamericana
1 IMRN. International Mathematics Research Notices
1 L’Enseignement Mathématique. 2e Série
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Annales Mathématiques Blaise Pascal
1 Bulletin des Sciences Mathématiques
...and 17 more Serials

Citations by Year

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