Edit Profile (opens in new tab) Scholze, Peter Co-Author Distance Author ID: 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 all top 5 Co-Authors 22 single-authored 9 Bhatt, Bhargav 4 Caraiani, Ana 3 Morrow, Matthew 3 Weinstein, Jared 2 de Jong, Aise Johan 2 Faltings, Gerd 2 Fargues, Laurent 2 Nikolaus, Thomas 1 Allen, Patrick B. 1 Ash, Avner 1 Berthelot, Pierre 1 Cais, Bryden 1 Calegari, Frank 1 Caramello, Olivia 1 Cartier, Pierre 1 Česnavičius, Kęstutis 1 Connes, Alain 1 Gaitsgory, Dennis 1 Gee, Toby 1 Helm, David 1 Hesselholt, Lars 1 Illusie, Luc 1 Jaeck, Frédéric 1 Katz, Nicholas Michael 1 Kedlaya, Kiran Sridhara 1 Kucharczyk, Robert A. 1 Lafforgue, Laurent 1 Le Hung, Bao Viet 1 Maclarty, Colin 1 Messing, William 1 Mumford, David Bryant 1 Newton, James 1 Persson, Ulf A. 1 Pisier, Gilles 1 Rapoport, Michael 1 Schneider, Peter 1 Schnell, Christian 1 Shin, Sug Woo 1 Szczeciniarz, Jean-Jacques 1 Tai, Yungsheng 1 Taylor, Richard 1 Temkin, Michael 1 Thorne, Jack 1 Vilonen, Kari 1 Werner, Annette 1 Zalamea, Fernando all top 5 Serials 6 Annals of Mathematics. Second Series 5 Oberwolfach Reports 3 Publications Mathématiques 3 Inventiones Mathematicae 2 Acta Mathematica 2 Journal of the American Mathematical Society 2 Forum of Mathematics, Pi 2 Cambridge Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Gazette des Mathématiciens 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Selecta Mathematica. New Series 1 Mathematical Research Letters 1 European Mathematical Society Newsletter 1 Annals of Mathematics Studies 1 Mathematical Surveys and Monographs 1 Japanese Journal of Mathematics. 3rd Series 1 Cambridge Mathematical Library 1 Communications of the American Mathematical Society 1 Nouvelles Visions des Sciences all top 5 Fields 46 Algebraic geometry (14-XX) 26 Number theory (11-XX) 8 Topological groups, Lie groups (22-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 6 Commutative algebra (13-XX) 4 \(K\)-theory (19-XX) 3 Algebraic topology (55-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 34 Fields 398 Algebraic geometry (14-XX) 337 Number theory (11-XX) 75 Commutative algebra (13-XX) 67 Group theory and generalizations (20-XX) 66 \(K\)-theory (19-XX) 66 Topological groups, Lie groups (22-XX) 63 Algebraic topology (55-XX) 45 Category theory; homological algebra (18-XX) 21 Several complex variables and analytic spaces (32-XX) 20 Associative rings and algebras (16-XX) 14 Field theory and polynomials (12-XX) 13 General and overarching topics; collections (00-XX) 8 Functional analysis (46-XX) 8 Manifolds and cell complexes (57-XX) 7 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Quantum theory (81-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.