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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
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
455 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 1,230 times in 641 Documents Cited by Year
Perfectoid spaces. Zbl 1263.14022
Scholze, Peter
147
2012
On torsion in the cohomology of locally symmetric varieties. Zbl 1345.14031
Scholze, Peter
110
2015
Projectivity of the Witt vector affine Grassmannian. Zbl 1397.14064
Bhatt, Bhargav; Scholze, Peter
85
2017
On topological cyclic homology. Zbl 1457.19007
Nikolaus, Thomas; Scholze, Peter
84
2018
Integral \(p\)-adic Hodge theory. Zbl 1446.14011
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter
80
2018
\(p\)-adic Hodge theory for rigid-analytic varieties. Zbl 1297.14023
Scholze, Peter
80
2013
Moduli of \(p\)-divisible groups. Zbl 1349.14149
Scholze, Peter; Weinstein, Jared
73
2013
The pro-étale topology for schemes. Zbl 1351.19001
Bhatt, Bhargav; Scholze, Peter
68
2015
Topological Hochschild homology and integral \(p\)-adic Hodge theory. Zbl 1478.14039
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter
68
2019
Berkeley lectures on \(p\)-adic geometry. Zbl 1475.14002
Scholze, Peter; Weinstein, Jared
67
2020
On the generic part of the cohomology of compact unitary Shimura varieties. Zbl 1401.11108
Caraiani, Ana; Scholze, Peter
64
2017
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
59
2010
The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields. Zbl 1305.22025
Scholze, Peter
53
2013
On the \(p\)-adic cohomology of the Lubin-Tate tower. Zbl 1419.14031
Scholze, Peter
41
2018
Perfectoid spaces: a survey. Zbl 1327.14008
Scholze, Peter
30
2013
Prisms and prismatic cohomology. Zbl 07611906
Bhatt, Bhargav; Scholze, Peter
28
2022
Integral \(p\)-adic Hodge theory-announcement. Zbl 1349.14070
Bhatt, B.; Morrow, M.; Scholze, P.
23
2015
Corrigendum: “\(p\)-adic Hodge theory for rigid-analytic varieties”. Zbl 1405.14049
Scholze, Peter
15
2016
Canonical \(q\)-deformations in arithmetic geometry. Zbl 1461.14031
Scholze, Peter
14
2017
On the cohomology of compact unitary group Shimura varieties at ramified split places. Zbl 1385.11041
Scholze, Peter; Shin, Sug Woo
14
2013
Vanishing theorems for perverse sheaves on abelian varieties, revisited. Zbl 1454.14054
Bhatt, Bhargav; Schnell, Christian; Scholze, Peter
13
2018
The Langlands-Kottwitz method and deformation spaces of \(p\)-divisible groups. Zbl 1383.11082
Scholze, Peter
13
2013
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.
12
2023
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
\(p\)-adic geometry. Zbl 1441.14001
Scholze, Peter
8
2018
Perfectoid spaces and their applications. Zbl 1373.14025
Scholze, Peter
6
2014
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
Prismatic \(F\)-crystals and crystalline Galois representations. Zbl 07693592
Bhatt, Bhargav; Scholze, Peter
4
2023
Working session: Topological cyclic homology. Abstracts from the working session held April 1–7, 2018. (Arbeitsgemeinschaft: Topological cyclic homology.) Zbl 1409.00093
4
2018
Purity for flat cohomology. Zbl 1528.14024
Česnavičius, Kęstutis; Scholze, Peter
3
2024
Correction to: “On topological cyclic homology”. Zbl 1451.19005
Nikolaus, Thomas; Scholze, Peter
2
2019
Perfectoid Shimura varieties. Zbl 1355.14023
Scholze, Peter
2
2016
On nonnegative harmonic functions on a lattice. Zbl 1396.31007
Scholze, Peter
1
2006
Topological realisations of absolute Galois groups. Zbl 1439.14074
Kucharczyk, Robert A.; Scholze, Peter
1
2018
Purity for flat cohomology. Zbl 1528.14024
Česnavičius, Kęstutis; Scholze, Peter
3
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.
12
2023
Prismatic \(F\)-crystals and crystalline Galois representations. Zbl 07693592
Bhatt, Bhargav; Scholze, Peter
4
2023
Prisms and prismatic cohomology. Zbl 07611906
Bhatt, Bhargav; Scholze, Peter
28
2022
Berkeley lectures on \(p\)-adic geometry. Zbl 1475.14002
Scholze, Peter; Weinstein, Jared
67
2020
Topological Hochschild homology and integral \(p\)-adic Hodge theory. Zbl 1478.14039
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter
68
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
Correction to: “On topological cyclic homology”. Zbl 1451.19005
Nikolaus, Thomas; Scholze, Peter
2
2019
On topological cyclic homology. Zbl 1457.19007
Nikolaus, Thomas; Scholze, Peter
84
2018
Integral \(p\)-adic Hodge theory. Zbl 1446.14011
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter
80
2018
On the \(p\)-adic cohomology of the Lubin-Tate tower. Zbl 1419.14031
Scholze, Peter
41
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
8
2018
Working session: Topological cyclic homology. Abstracts from the working session held April 1–7, 2018. (Arbeitsgemeinschaft: Topological cyclic homology.) Zbl 1409.00093
4
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
85
2017
On the generic part of the cohomology of compact unitary Shimura varieties. Zbl 1401.11108
Caraiani, Ana; Scholze, Peter
64
2017
Canonical \(q\)-deformations in arithmetic geometry. Zbl 1461.14031
Scholze, Peter
14
2017
Corrigendum: “\(p\)-adic Hodge theory for rigid-analytic varieties”. Zbl 1405.14049
Scholze, Peter
15
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
110
2015
The pro-étale topology for schemes. Zbl 1351.19001
Bhatt, Bhargav; Scholze, Peter
68
2015
Integral \(p\)-adic Hodge theory-announcement. Zbl 1349.14070
Bhatt, B.; Morrow, M.; Scholze, P.
23
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
80
2013
Moduli of \(p\)-divisible groups. Zbl 1349.14149
Scholze, Peter; Weinstein, Jared
73
2013
The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields. Zbl 1305.22025
Scholze, Peter
53
2013
Perfectoid spaces: a survey. Zbl 1327.14008
Scholze, Peter
30
2013
On the cohomology of compact unitary group Shimura varieties at ramified split places. Zbl 1385.11041
Scholze, Peter; Shin, Sug Woo
14
2013
The Langlands-Kottwitz method and deformation spaces of \(p\)-divisible groups. Zbl 1383.11082
Scholze, Peter
13
2013
The Langlands-Kottwitz approach for some simple Shimura varieties. Zbl 1309.14020
Scholze, Peter
8
2013
Perfectoid spaces. Zbl 1263.14022
Scholze, Peter
147
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
59
2010
On nonnegative harmonic functions on a lattice. Zbl 1396.31007
Scholze, Peter
1
2006
all top 5

Cited by 601 Authors

23 Scholze, Peter
16 Bhatt, Bhargav
15 Mathew, Akhil
11 Kedlaya, Kiran Sridhara
9 Maxim, Laurentiu G.
9 Nizioł, Wiesława
8 Ash, Avner
8 Colmez, Pierre
8 Ma, Linquan
8 Newton, James
8 Viehmann, Eva
7 Caraiani, Ana
7 He, Xuhua
7 Johansson, Christian
7 Morrow, Matthew
7 Nikolaus, Thomas
7 Thorne, Jack
7 Vezzani, Alberto
6 André, Yves
6 Antieau, Benjamin
6 Aubert, Anne-Marie
6 Dospinescu, Gabriel
6 Görtz, Ulrich
6 Hansen, David
6 Liu, Yongqiang
6 Nie, Sian
6 Shimomoto, Kazuma
6 Wang, Botong
5 Anschütz, Johannes
5 Calegari, Frank
5 Doud, Darrin
5 Elmanto, Elden
5 Emerton, Matthew
5 Hamacher, Paul
5 Li, Shizhang
5 Plymen, Roger J.
5 Schwede, Karl E.
5 Shen, Xu
5 Shin, Sug Woo
5 Weinstein, Jared
5 Zhu, Xinwen
4 Beuzart-Plessis, Raphaël
4 Boyer, Pascal
4 Gee, Toby
4 Gunnells, Paul E.
4 Hesselholt, Lars
4 Heuer, Ben
4 Howe, Sean
4 Ivanov, Alexander B.
4 Lan, Kai-Wen
4 Le Bras, Arthur-César
4 Liu, Ruochuan
4 Paškūnas, Vytautas
4 Patchkoria, Irakli
4 Pilloni, Vincent
4 Richarz, Timo
4 Rosso, Giovanni
4 Tabuada, Gonçalo
4 Tsushima, Takahiro
4 Wilson, Dylan
4 Xu, Bin
3 Achinger, Piotr
3 Bartlett, Robin
3 Baum, Paul Frank
3 Chen, Miaofen
3 Clausen, Dustin
3 Davis, Christopher
3 Dotto, Emanuele
3 Fargues, Laurent
3 Gan, Wee Teck
3 Geraghty, David
3 Guo, Haoyang
3 Hebestreit, Fabian
3 Heitmann, Raymond C.
3 Hong, Serin
3 Hu, Po
3 Kaletha, Tasho
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 Ludwig, Judith
3 McConnell, Mark
3 Moi, Kristian Jonsson
3 Mondal, Shubhodip
3 Moon, Yong Suk
3 Moulinos, Tasos
3 Nguyen, Kieu Hieu
3 Pappas, Georgios
3 Petrov, Alexander
3 Quirós Gracián, Adolfo
3 Raimbault, Jean
3 Rognes, John
3 Scholbach, Jakob
3 Şengün, Mehmet Haluk
3 Solleveld, Maarten
3 Somberg, Petr
...and 501 more Authors
all top 5

Cited in 111 Serials

45 Compositio Mathematica
28 Forum of Mathematics, Sigma
26 Inventiones Mathematicae
24 Algebra & Number Theory
23 Advances in Mathematics
23 Mathematische Annalen
22 Documenta Mathematica
20 Journal für die Reine und Angewandte Mathematik
20 Journal of the Institute of Mathematics of Jussieu
18 Selecta Mathematica. New Series
17 Duke Mathematical Journal
16 Transactions of the American Mathematical Society
15 Journal of Number Theory
13 Journal of Algebra
13 Journal of Pure and Applied Algebra
12 Mathematische Zeitschrift
12 Oberwolfach Reports
11 Journal of the American Mathematical Society
10 Proceedings of the American Mathematical Society
10 Forum of Mathematics, Pi
9 Manuscripta Mathematica
9 Annals of Mathematics. Second Series
8 Journal of the European Mathematical Society (JEMS)
7 Publications Mathématiques
7 Journal de Théorie des Nombres de Bordeaux
7 International Journal of Number Theory
6 Journal of Homotopy and Related Structures
6 Journal de l’École Polytechnique – Mathématiques
6 Annals of \(K\)-Theory
5 Pacific Journal of Mathematics
5 Proceedings of the London Mathematical Society. Third Series
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 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Journal of Algebraic Geometry
4 European Journal of Mathematics
3 Israel Journal of Mathematics
3 Acta Mathematica Vietnamica
3 Canadian Journal of Mathematics
3 Kyoto Journal of Mathematics
3 Research in Number Theory
3 Annales Henri Lebesgue
2 Acta Arithmetica
2 American Journal of Mathematics
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 Memoirs of the American Mathematical Society
2 Forum Mathematicum
2 Journal of the Ramanujan Mathematical Society
2 Expositiones Mathematicae
2 Experimental Mathematics
2 The New York Journal of Mathematics
2 Geometry & Topology
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Noncommutative Geometry
2 Journal of Topology
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 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 the Indian Institute of Science
1 Mathematika
1 Michigan Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matematico della Università di Padova
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 Bulletin of the American Mathematical Society. New Series
1 Annales Mathématiques Blaise Pascal
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 Transformation Groups
1 Revista Matemática Complutense
...and 11 more Serials

Citations by Year

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