Edit Profile (opens in new tab) Bhatt, Bhargav Co-Author Distance Author ID: bhatt.bhargav Published as: Bhatt, Bhargav; Bhatt, B. Homepage: http://www-personal.umich.edu/~bhattb/ External Links: MGP · Wikidata · dblp · GND · IdRef Awards: New Horizons in Mathematics Prize (2021) · Clay Research Award (2021) Documents Indexed: 53 Publications since 2011, including 1 Book and 13 Additional arXiv Preprints 2 Contributions as Editor · 2 Further Contributions Co-Authors: 29 Co-Authors with 37 Joint Publications 485 Co-Co-Authors all top 5 Co-Authors 17 single-authored 9 Scholze, Peter 6 Singh, Anurag K. 5 Blickle, Manuel 5 Lyubeznik, Gennady 5 Mathew, Akhil 5 Schwede, Karl E. 5 Zhang, Wenliang 4 Lurie, Jacob 4 Ma, Linquan 3 Morrow, Matthew 3 Olsson, Martin C. 3 Patakfalvi, Zsolt 3 Tucker, Kevin 2 de Jong, Aise Johan 2 Schnell, Christian 2 Waldron, Joe 2 Witaszek, Jakub 1 Achter, Jeff 1 Andreatta, Fabrizio 1 Antieau, Benjamin 1 Bary-Soroker, Lior 1 Cais, Bryden 1 Caraiani, Ana 1 Carvajal-Rojas, Javier 1 Cassou-Noguès, Philippe 1 Chai, Chingli 1 Chinburg, Ted 1 Clausen, Dustin 1 Conrad, Brian 1 Esnault, Hélène 1 Gabber, Ofer 1 Graf, Patrick 1 Gross, Benedict Hyman 1 Halpern-Leistner, Daniel 1 Harashita, Shushi 1 Harbater, David 1 Hernández, Daniel J. 1 Ho, Wei 1 Iyengar, Srikanth B. 1 Katsura, Toshiyuki 1 Kedlaya, Kiran Sridhara 1 Li, Shizhang 1 Miller, Lance Edward 1 Morin, Baptiste 1 Mustaţă, Mircea 1 Oort, Frans 1 Pries, Rachel J. 1 Shiho, Atsushi 1 Takagi, Shunsuke 1 Taylor, Martin J. 1 Weinstein, Jared 1 Zieve, Michael E. all top 5 Serials 3 Compositio Mathematica 3 Publications Mathématiques 3 Inventiones Mathematicae 3 Cambridge Journal of Mathematics 2 Mathematische Annalen 2 Selecta Mathematica. New Series 2 Algebra & Number Theory 2 Forum of Mathematics, Sigma 2 Simons Symposia 1 Communications in Algebra 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Astérisque 1 Mathematical Surveys and Monographs 1 Forum of Mathematics, Pi all top 5 Fields 42 Algebraic geometry (14-XX) 23 Commutative algebra (13-XX) 8 Number theory (11-XX) 4 General and overarching topics; collections (00-XX) 4 \(K\)-theory (19-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 613 times in 403 Documents Cited by ▼ Year ▼ Projectivity of the Witt vector affine Grassmannian. Zbl 1397.14064 Bhatt, Bhargav; Scholze, Peter 85 2017 Integral \(p\)-adic Hodge theory. Zbl 1446.14011 Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter 80 2018 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 Algebraization and Tannaka duality. Zbl 1356.14006 Bhatt, Bhargav 35 2016 On the direct summand conjecture and its derived variant. Zbl 1397.13019 Bhatt, Bhargav 30 2018 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 The \(\operatorname{arc}\)-topology. Zbl 1478.14036 Bhatt, Bhargav; Mathew, Akhil 18 2021 Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes. Zbl 1318.13025 Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang 17 2014 Derived splinters in positive characteristic. Zbl 1291.14036 Bhatt, Bhargav 14 2012 Vanishing theorems for perverse sheaves on abelian varieties, revisited. Zbl 1454.14054 Bhatt, Bhargav; Schnell, Christian; Scholze, Peter 13 2018 The \(F\)-pure threshold of a Calabi-Yau hypersurface. Zbl 1328.13006 Bhatt, Bhargav; Singh, Anurag K. 12 2015 The weak ordinarity conjecture and \(F\)-singularities. Zbl 1390.14060 Bhatt, Bhargav; Schwede, Karl; Takagi, Shunsuke 11 2017 Tannaka duality revisited. Zbl 1401.14013 Bhatt, Bhargav; Halpern-Leistner, Daniel 9 2017 Regular rings and perfect(oid) algebras. Zbl 1469.13031 Bhatt, Bhargav; Iyengar, Srikanth B.; Ma, Linquan 9 2019 Almost direct summands. Zbl 1304.13042 Bhatt, Bhargav 8 2014 Stabilization of the cohomology of thickenings. Zbl 1425.13008 Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang 8 2019 Revisiting the de Rham-Witt complex. Zbl 1478.14038 Bhatt, Bhargav; Lurie, Jacob; Mathew, Akhil 7 2021 Moduli of products of stable varieties. Zbl 1300.14012 Bhatt, Bhargav; Ho, Wei; Patakfalvi, Zsolt; Schnell, Christian 7 2013 Counterexamples to Hochschild-Kostant-Rosenberg in characteristic \(p\). Zbl 1477.13032 Antieau, Benjamin; Bhatt, Bhargav; Mathew, Akhil 6 2021 On the non-existence of small Cohen-Macaulay algebras. Zbl 1317.13022 Bhatt, Bhargav 5 2014 Specializing varieties and their cohomology from characteristic 0 to characteristic \(p\). Zbl 1451.14066 Bhatt, Bhargav 5 2018 A Riemann-Hilbert correspondence in positive characteristic. Zbl 1458.14030 Bhatt, Bhargav; Lurie, Jacob 5 2019 Annihilating the cohomology of group schemes. Zbl 1257.14033 Bhatt, Bhargav 5 2012 Remarks on \(K(1)\)-local \(K\)-theory. Zbl 1454.19004 Bhatt, Bhargav; Clausen, Dustin; Mathew, Akhil 5 2020 Lefschetz for local Picard groups. (Lefschetz pour les groupes de Picard locaux.) Zbl 1372.14007 Bhatt, Bhargav; De Jong, Aise Johan 4 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 The dualizing complex of \(F\)-injective and Du Bois singularities. Zbl 1470.14040 Bhatt, Bhargav; Ma, Linquan; Schwede, Karl 3 2018 An asymptotic vanishing theorem for the cohomology of thickenings. Zbl 1481.13032 Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang 3 2021 Torsion in the crystalline cohomology of singular varieties. Zbl 1327.14102 Bhatt, Bhargav 2 2014 What is …a perfectoid space? Zbl 1338.14001 Bhatt, Bhargav 2 2014 \(p\)-divisibility for coherent cohomology. Zbl 1349.14065 Bhatt, Bhargav 2 2015 The Hodge-Tate decomposition via perfectoid spaces. Zbl 1453.14080 Bhatt, Bhargav 2 2019 Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic. Zbl 07780366 Bhatt, Bhargav; Ma, Linquan; Patakfalvi, Zsolt; Schwede, Karl; Tucker, Kevin; Waldron, Joe; Witaszek, Jakub 2 2023 Étale fundamental groups of strongly \(F\)-regular schemes. Zbl 1457.14045 Bhatt, Bhargav; Carvajal-Rojas, Javier; Graf, Patrick; Schwede, Karl; Tucker, Kevin 2 2019 Syntomic complexes and \(p\)-adic étale Tate twists. Zbl 1518.14032 Bhatt, Bhargav; Mathew, Akhil 2 2023 Log canonical thresholds, \(F\)-pure thresholds, and nonstandard extensions. Zbl 1262.13006 Bhatt, Bhargav; Hernández, Daniel J.; Miller, Lance Edward; Mustaţă, Mircea 2 2012 Torsion completions are bounded. Zbl 1409.13044 Bhatt, Bhargav 2 2019 Prismatic \(F\)-crystals and crystalline Galois representations. Zbl 07693592 Bhatt, Bhargav; Scholze, Peter 4 2023 Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic. Zbl 07780366 Bhatt, Bhargav; Ma, Linquan; Patakfalvi, Zsolt; Schwede, Karl; Tucker, Kevin; Waldron, Joe; Witaszek, Jakub 2 2023 Syntomic complexes and \(p\)-adic étale Tate twists. Zbl 1518.14032 Bhatt, Bhargav; Mathew, Akhil 2 2023 Prisms and prismatic cohomology. Zbl 07611906 Bhatt, Bhargav; Scholze, Peter 28 2022 The \(\operatorname{arc}\)-topology. Zbl 1478.14036 Bhatt, Bhargav; Mathew, Akhil 18 2021 Revisiting the de Rham-Witt complex. Zbl 1478.14038 Bhatt, Bhargav; Lurie, Jacob; Mathew, Akhil 7 2021 Counterexamples to Hochschild-Kostant-Rosenberg in characteristic \(p\). Zbl 1477.13032 Antieau, Benjamin; Bhatt, Bhargav; Mathew, Akhil 6 2021 An asymptotic vanishing theorem for the cohomology of thickenings. Zbl 1481.13032 Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang 3 2021 Remarks on \(K(1)\)-local \(K\)-theory. Zbl 1454.19004 Bhatt, Bhargav; Clausen, Dustin; Mathew, Akhil 5 2020 Topological Hochschild homology and integral \(p\)-adic Hodge theory. Zbl 1478.14039 Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter 68 2019 Regular rings and perfect(oid) algebras. Zbl 1469.13031 Bhatt, Bhargav; Iyengar, Srikanth B.; Ma, Linquan 9 2019 Stabilization of the cohomology of thickenings. Zbl 1425.13008 Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang 8 2019 A Riemann-Hilbert correspondence in positive characteristic. Zbl 1458.14030 Bhatt, Bhargav; Lurie, Jacob 5 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 The Hodge-Tate decomposition via perfectoid spaces. Zbl 1453.14080 Bhatt, Bhargav 2 2019 Étale fundamental groups of strongly \(F\)-regular schemes. Zbl 1457.14045 Bhatt, Bhargav; Carvajal-Rojas, Javier; Graf, Patrick; Schwede, Karl; Tucker, Kevin 2 2019 Torsion completions are bounded. Zbl 1409.13044 Bhatt, Bhargav 2 2019 Integral \(p\)-adic Hodge theory. Zbl 1446.14011 Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter 80 2018 On the direct summand conjecture and its derived variant. Zbl 1397.13019 Bhatt, Bhargav 30 2018 Vanishing theorems for perverse sheaves on abelian varieties, revisited. Zbl 1454.14054 Bhatt, Bhargav; Schnell, Christian; Scholze, Peter 13 2018 Specializing varieties and their cohomology from characteristic 0 to characteristic \(p\). Zbl 1451.14066 Bhatt, Bhargav 5 2018 The dualizing complex of \(F\)-injective and Du Bois singularities. Zbl 1470.14040 Bhatt, Bhargav; Ma, Linquan; Schwede, Karl 3 2018 Projectivity of the Witt vector affine Grassmannian. Zbl 1397.14064 Bhatt, Bhargav; Scholze, Peter 85 2017 The weak ordinarity conjecture and \(F\)-singularities. Zbl 1390.14060 Bhatt, Bhargav; Schwede, Karl; Takagi, Shunsuke 11 2017 Tannaka duality revisited. Zbl 1401.14013 Bhatt, Bhargav; Halpern-Leistner, Daniel 9 2017 Algebraization and Tannaka duality. Zbl 1356.14006 Bhatt, Bhargav 35 2016 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 The \(F\)-pure threshold of a Calabi-Yau hypersurface. Zbl 1328.13006 Bhatt, Bhargav; Singh, Anurag K. 12 2015 \(p\)-divisibility for coherent cohomology. Zbl 1349.14065 Bhatt, Bhargav 2 2015 Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes. Zbl 1318.13025 Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang 17 2014 Almost direct summands. Zbl 1304.13042 Bhatt, Bhargav 8 2014 On the non-existence of small Cohen-Macaulay algebras. Zbl 1317.13022 Bhatt, Bhargav 5 2014 Lefschetz for local Picard groups. (Lefschetz pour les groupes de Picard locaux.) Zbl 1372.14007 Bhatt, Bhargav; De Jong, Aise Johan 4 2014 Torsion in the crystalline cohomology of singular varieties. Zbl 1327.14102 Bhatt, Bhargav 2 2014 What is …a perfectoid space? Zbl 1338.14001 Bhatt, Bhargav 2 2014 Moduli of products of stable varieties. Zbl 1300.14012 Bhatt, Bhargav; Ho, Wei; Patakfalvi, Zsolt; Schnell, Christian 7 2013 Derived splinters in positive characteristic. Zbl 1291.14036 Bhatt, Bhargav 14 2012 Annihilating the cohomology of group schemes. Zbl 1257.14033 Bhatt, Bhargav 5 2012 Log canonical thresholds, \(F\)-pure thresholds, and nonstandard extensions. Zbl 1262.13006 Bhatt, Bhargav; Hernández, Daniel J.; Miller, Lance Edward; Mustaţă, Mircea 2 2012 all cited Publications top 5 cited Publications all top 5 Cited by 423 Authors 18 Bhatt, Bhargav 16 Ma, Linquan 16 Mathew, Akhil 12 Schwede, Karl E. 11 Scholze, Peter 9 Maxim, Laurentiu G. 7 He, Xuhua 7 Morrow, Matthew 7 Pham Hung Quy 7 Shimomoto, Kazuma 6 Liu, Yongqiang 6 Nie, Sian 6 Nizioł, Wiesława 6 Singh, Anurag K. 6 Wang, Botong 5 Antieau, Benjamin 5 Colmez, Pierre 5 Görtz, Ulrich 5 Hamacher, Paul 5 Kedlaya, Kiran Sridhara 5 Núñez-Betancourt, Luis 5 Tucker, Kevin 5 Viehmann, Eva 4 Anschütz, Johannes 4 Clausen, Dustin 4 Datta, Rankeya 4 Elmanto, Elden 4 Hall, Jack 4 Nikolaus, Thomas 4 Patakfalvi, Zsolt 4 Richarz, Timo 3 André, Yves 3 Bartlett, Robin 3 Česnavičius, Kęstutis 3 Dao, Hailong 3 de Fernex, Tommaso 3 Dospinescu, Gabriel 3 Guo, Haoyang 3 Halpern-Leistner, Daniel 3 Heitmann, Raymond C. 3 Hernández, Daniel J. 3 Hoyois, Marc 3 Ivanov, Alexander B. 3 Iyengar, Srikanth B. 3 Kelly, Shane P. 3 Le Bras, Arthur-César 3 Li, Shizhang 3 Miller, Lance Edward 3 Mondal, Shubhodip 3 Moulinos, Tasos 3 Pérez, Felipe 3 Reguera, Ana-José 3 Rydh, David 3 Scholbach, Jakob 3 Smith, Karen E. 3 Stäbler, Axel 3 Usatine, Jeremy 3 Vezzani, Alberto 3 Walther, Uli 3 Wang, Haining 3 Wedhorn, Torsten 3 Werner, Annette 3 Witaszek, Jakub 3 Witt, Emily E. 3 Zhang, Wenliang 2 Achinger, Piotr 2 Alper, Jarod 2 Bertapelle, Alessandra 2 Boix, Alberto Fernandez 2 Bragg, Daniel 2 Bravo, Ana María 2 Caraiani, Ana 2 Chan, Charlotte 2 Chen, Ling 2 Cornut, Christophe 2 de Jong, Aise Johan 2 De Stefani, Alessandro 2 Docampo, Roi 2 Encinas, Santiago 2 Ertl, Veronika 2 Esnault, Hélène 2 Hemo, Tamir 2 Hesselholt, Lars 2 Heuer, Ben 2 Hochster, Melvin 2 Iwasa, Ryomei 2 Jeffries, Jack 2 Johansson, Christian 2 Kaletha, Tasho 2 Kerz, Moritz C. 2 Khan, Adeel A. 2 Koshikawa, Teruhisa 2 Lara, Marcin 2 Le Stum, Bernard 2 Lu, Qing 2 Lyubeznik, Gennady 2 Mustaţă, Mircea 2 Nakazato, Kei 2 Pappas, Georgios 2 Patankar, Shravan ...and 323 more Authors all top 5 Cited in 88 Serials 28 Journal of Algebra 27 Compositio Mathematica 21 Advances in Mathematics 20 Journal of Pure and Applied Algebra 17 Mathematische Annalen 15 Documenta Mathematica 14 Journal für die Reine und Angewandte Mathematik 14 Forum of Mathematics, Sigma 13 Algebra & Number Theory 12 Duke Mathematical Journal 11 Inventiones Mathematicae 11 Selecta Mathematica. New Series 11 Oberwolfach Reports 10 Transactions of the American Mathematical Society 9 Mathematische Zeitschrift 8 Journal of the Institute of Mathematics of Jussieu 7 Communications in Algebra 7 Proceedings of the American Mathematical Society 6 Nagoya Mathematical Journal 6 Journal of Algebraic Geometry 6 Journal of the European Mathematical Society (JEMS) 6 Forum of Mathematics, Pi 5 Journal of the London Mathematical Society. Second Series 5 Manuscripta Mathematica 4 Publications Mathématiques 4 Journal of the American Mathematical Society 3 Mathematische Nachrichten 3 Geometry & Topology 3 Annals of Mathematics. Second Series 3 Kyoto Journal of Mathematics 3 Journal de l’École Polytechnique – Mathématiques 3 Annals of \(K\)-Theory 3 Transactions of the American Mathematical Society. Series B 2 Beiträge zur Algebra und Geometrie 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Journal of Number Theory 2 Michigan Mathematical Journal 2 Turkish Journal of Mathematics 2 The New York Journal of Mathematics 2 Representation Theory 2 Japanese Journal of Mathematics. 3rd Series 2 Journal of Singularities 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica Vietnamica 1 Annales Polonici Mathematici 1 Canadian Mathematical Bulletin 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Journal of Symbolic Computation 1 Journal of the Ramanujan Mathematical Society 1 Sugaku Expositions 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Sbornik: Mathematics 1 Revista Matemática Complutense 1 Algebraic & Geometric Topology 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 International Journal of Number Theory 1 Journal of Noncommutative Geometry 1 Journal of Homotopy and Related Structures 1 Confluentes Mathematici 1 Journal of Commutative Algebra 1 Annales Mathématiques du Québec 1 European Journal of Mathematics 1 Open Mathematics 1 Research in Number Theory 1 Proceedings of the American Mathematical Society. Series B 1 Tunisian Journal of Mathematics 1 Peking Mathematical Journal 1 Annales Henri Lebesgue 1 Communications of the American Mathematical Society all top 5 Cited in 27 Fields 316 Algebraic geometry (14-XX) 133 Commutative algebra (13-XX) 102 Number theory (11-XX) 37 \(K\)-theory (19-XX) 36 Group theory and generalizations (20-XX) 33 Category theory; homological algebra (18-XX) 31 Algebraic topology (55-XX) 25 Several complex variables and analytic spaces (32-XX) 16 Associative rings and algebras (16-XX) 11 General and overarching topics; collections (00-XX) 7 Field theory and polynomials (12-XX) 6 Topological groups, Lie groups (22-XX) 5 Manifolds and cell complexes (57-XX) 3 Combinatorics (05-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functional analysis (46-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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