Edit Profile (opens in new tab) Hesselholt, Lars Co-Author Distance Author ID: hesselholt.lars Published as: Hesselholt, Lars Homepage: http://www.math.nagoya-u.ac.jp/~larsh/ External Links: MGP · ORCID · Wikidata Documents Indexed: 39 Publications since 1992, including 1 Additional arXiv Preprint 3 Contributions as Editor Co-Authors: 12 Co-Authors with 25 Joint Publications 272 Co-Co-Authors all top 5 Co-Authors 17 single-authored 10 Geisser, Thomas H. 6 Madsen, Ib Henning 2 Huber-Klawitter, Annette 2 Kerz, Moritz C. 2 Larsen, Michael Jeffrey 2 Lindenstrauss, Ayelet 2 Nikolaus, Thomas 2 Pstrągowski, Piotr 1 Angeltveit, Vigleik 1 Berrick, A. Jon 1 Gerhardt, Teena 1 Scholze, Peter all top 5 Serials 4 Inventiones Mathematicae 3 Acta Mathematica 3 Oberwolfach Reports 2 Topology 2 Journal of the American Mathematical Society 2 Journal of Topology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Compositio Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Transactions of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Forum of Mathematics, Sigma all top 5 Fields 37 \(K\)-theory (19-XX) 14 Algebraic geometry (14-XX) 14 Algebraic topology (55-XX) 12 Number theory (11-XX) 6 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 3 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 560 times in 241 Documents Cited by ▼ Year ▼ On the \(K\)-theory of finite algebras over Witt vectors of perfect fields. Zbl 0866.55002 Hesselholt, Lars; Madsen, Ib 106 1997 On the \(K\)-theory of local fields. Zbl 1033.19002 Hesselholt, Lars; Madsen, Ib 64 2003 Topological cyclic homology of schemes. Zbl 0953.19001 Geisser, Thomas; Hesselholt, Lars 40 1999 On the \(p\)-typical curves in Quillen’s \(K\)-theory. Zbl 0892.19003 Hesselholt, Lars 39 1996 The big de Rham-Witt complex. Zbl 1316.13028 Hesselholt, Lars 37 2015 On the de Rham-Witt complex in mixed characteristic. Zbl 1062.19003 Hesselholt, Lars; Madsen, Ib 31 2004 Cyclic polytopes and the \(K\)-theory of truncated polynomial algebras. Zbl 0884.19004 Hesselholt, Lars; Madsen, Ib 29 1997 Bi-relative algebraic \(K\)-theory and topological cyclic homology. Zbl 1107.19002 Geisser, Thomas; Hesselholt, Lars 19 2006 Topological Hochschild homology and the Hasse-Weil zeta function. Zbl 1402.19002 Hesselholt, Lars 18 2018 Witt vectors of non-commutative rings and topological cyclic homology. Zbl 0894.19001 Hesselholt, Lars 17 1997 \(K\)-theory of truncated polynomial algebras. Zbl 1102.19002 Hesselholt, Lars 16 2005 The de Rham-Witt complex and \(p\)-adic vanishing cycles. Zbl 1087.19002 Geisser, Thomas; Hesselholt, Lars 15 2006 On the vanishing of negative \(K\)-groups. Zbl 1203.19001 Geisser, Thomas; Hesselholt, Lars 15 2010 On the \(K\)-theory of nilpotent endomorphisms. Zbl 0992.19002 Hesselholt, Lars; Madsen, Ib 11 2001 On the topological cyclic homology of the algebraic closure of a local field. Zbl 1217.19002 Hesselholt, Lars 11 2006 On the \(K\)-theory and topological cyclic homology of smooth schemes over a discrete valuation ring. Zbl 1087.19003 Geisser, Thomas; Hesselholt, Lars 11 2006 On the \(K\)-theory of complete regular local \(\mathbb F_{p}\)-algebras. Zbl 1093.19003 Geisser, Thomas; Hesselholt, Lars 10 2006 On relative and bi-relative algebraic \(K\)-theory of rings of finite characteristic. Zbl 1247.19003 Geisser, Thomas; Hesselholt, Lars 9 2011 On the \(K\)-theory of the coordinate axes in the plane. Zbl 1136.19002 Hesselholt, Lars 9 2007 The absolute and relative de Rham-Witt complexes. Zbl 1173.11335 Hesselholt, Lars 6 2005 Algebraic \(K\)-theory and trace invariants. Zbl 1011.19002 Hesselholt, Lars 5 2002 Stable topological cyclic homology is topological Hochschild homology. Zbl 0816.19002 Hesselholt, Lars 5 1994 On the \(K\)-theory of planar cuspical curves and new family of polytopes. Zbl 1331.19004 Hesselholt, Lars 4 2014 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 cyclic homology. Zbl 1473.14038 Hesselholt, Lars; Nikolaus, Thomas 4 2020 The tower of \(K\)-theory of truncated polynomial algebras. Zbl 1146.19002 Hesselholt, Lars 4 2008 Galois cohomology of Witt vectors of algebraic integers. Zbl 1109.11057 Hesselholt, Lars 3 2004 On the \(K\)-theory of truncated polynomial algebras over the integers. Zbl 1232.19002 Angeltveit, Vigleik; Gerhardt, Teena; Hesselholt, Lars 3 2009 On the Whitehead spectrum of the circle. Zbl 1196.19009 Hesselholt, Lars 3 2009 A homotopy theoretical derivation of \(Q\text{Map}(K, -)_ +\). Zbl 0761.55011 Hesselholt, Lars 3 1992 Algebraic \(K\)-theory of planar cuspidal curves. Zbl 1436.19006 Hesselholt, Lars; Nikolaus, Thomas 3 2020 Topological Hochschild homology and the de Rham-Witt complex for \(\mathbb Z_{(p)}\)-algebras. Zbl 1076.19003 Hesselholt, Lars 2 2004 Topological Hochschild homology and the Bass trace conjecture. Zbl 1365.19001 Berrick, A. J.; Hesselholt, Lars 2 2015 The \(S^ 1\)-Tate spectrum for \(J\). Zbl 0851.55013 Hesselholt, Lars; Madsen, Ib 1 1992 On a conjecture of Vorst. Zbl 1242.19003 Geisser, Thomas; Hesselholt, Lars 1 2012 Topological cyclic homology. Zbl 1473.14038 Hesselholt, Lars; Nikolaus, Thomas 4 2020 Algebraic \(K\)-theory of planar cuspidal curves. Zbl 1436.19006 Hesselholt, Lars; Nikolaus, Thomas 3 2020 Topological Hochschild homology and the Hasse-Weil zeta function. Zbl 1402.19002 Hesselholt, Lars 18 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 The big de Rham-Witt complex. Zbl 1316.13028 Hesselholt, Lars 37 2015 Topological Hochschild homology and the Bass trace conjecture. Zbl 1365.19001 Berrick, A. J.; Hesselholt, Lars 2 2015 On the \(K\)-theory of planar cuspical curves and new family of polytopes. Zbl 1331.19004 Hesselholt, Lars 4 2014 On a conjecture of Vorst. Zbl 1242.19003 Geisser, Thomas; Hesselholt, Lars 1 2012 On relative and bi-relative algebraic \(K\)-theory of rings of finite characteristic. Zbl 1247.19003 Geisser, Thomas; Hesselholt, Lars 9 2011 On the vanishing of negative \(K\)-groups. Zbl 1203.19001 Geisser, Thomas; Hesselholt, Lars 15 2010 On the \(K\)-theory of truncated polynomial algebras over the integers. Zbl 1232.19002 Angeltveit, Vigleik; Gerhardt, Teena; Hesselholt, Lars 3 2009 On the Whitehead spectrum of the circle. Zbl 1196.19009 Hesselholt, Lars 3 2009 The tower of \(K\)-theory of truncated polynomial algebras. Zbl 1146.19002 Hesselholt, Lars 4 2008 On the \(K\)-theory of the coordinate axes in the plane. Zbl 1136.19002 Hesselholt, Lars 9 2007 Bi-relative algebraic \(K\)-theory and topological cyclic homology. Zbl 1107.19002 Geisser, Thomas; Hesselholt, Lars 19 2006 The de Rham-Witt complex and \(p\)-adic vanishing cycles. Zbl 1087.19002 Geisser, Thomas; Hesselholt, Lars 15 2006 On the topological cyclic homology of the algebraic closure of a local field. Zbl 1217.19002 Hesselholt, Lars 11 2006 On the \(K\)-theory and topological cyclic homology of smooth schemes over a discrete valuation ring. Zbl 1087.19003 Geisser, Thomas; Hesselholt, Lars 11 2006 On the \(K\)-theory of complete regular local \(\mathbb F_{p}\)-algebras. Zbl 1093.19003 Geisser, Thomas; Hesselholt, Lars 10 2006 \(K\)-theory of truncated polynomial algebras. Zbl 1102.19002 Hesselholt, Lars 16 2005 The absolute and relative de Rham-Witt complexes. Zbl 1173.11335 Hesselholt, Lars 6 2005 On the de Rham-Witt complex in mixed characteristic. Zbl 1062.19003 Hesselholt, Lars; Madsen, Ib 31 2004 Galois cohomology of Witt vectors of algebraic integers. Zbl 1109.11057 Hesselholt, Lars 3 2004 Topological Hochschild homology and the de Rham-Witt complex for \(\mathbb Z_{(p)}\)-algebras. Zbl 1076.19003 Hesselholt, Lars 2 2004 On the \(K\)-theory of local fields. Zbl 1033.19002 Hesselholt, Lars; Madsen, Ib 64 2003 Algebraic \(K\)-theory and trace invariants. Zbl 1011.19002 Hesselholt, Lars 5 2002 On the \(K\)-theory of nilpotent endomorphisms. Zbl 0992.19002 Hesselholt, Lars; Madsen, Ib 11 2001 Topological cyclic homology of schemes. Zbl 0953.19001 Geisser, Thomas; Hesselholt, Lars 40 1999 On the \(K\)-theory of finite algebras over Witt vectors of perfect fields. Zbl 0866.55002 Hesselholt, Lars; Madsen, Ib 106 1997 Cyclic polytopes and the \(K\)-theory of truncated polynomial algebras. Zbl 0884.19004 Hesselholt, Lars; Madsen, Ib 29 1997 Witt vectors of non-commutative rings and topological cyclic homology. Zbl 0894.19001 Hesselholt, Lars 17 1997 On the \(p\)-typical curves in Quillen’s \(K\)-theory. Zbl 0892.19003 Hesselholt, Lars 39 1996 Stable topological cyclic homology is topological Hochschild homology. Zbl 0816.19002 Hesselholt, Lars 5 1994 A homotopy theoretical derivation of \(Q\text{Map}(K, -)_ +\). Zbl 0761.55011 Hesselholt, Lars 3 1992 The \(S^ 1\)-Tate spectrum for \(J\). Zbl 0851.55013 Hesselholt, Lars; Madsen, Ib 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 219 Authors 18 Hesselholt, Lars 16 Rognes, John 13 Blumberg, Andrew J. 11 Mathew, Akhil 10 Lindenstrauss, Ayelet 9 Angeltveit, Vigleik 9 Mandell, Michael A. 9 Tabuada, Gonçalo 8 Gerhardt, Teena 7 Geisser, Thomas H. 7 Nikolaus, Thomas 6 Dundas, Bjørn Ian 6 Krishna, Amalendu 6 Morrow, Matthew 5 Bhatt, Bhargav 5 Dotto, Emanuele 5 Kaledin, Dmitry B. 5 Kerz, Moritz C. 5 Tamme, Georg 4 Antieau, Benjamin 4 Connes, Alain 4 Hill, Michael A. 4 Höning, Eva 4 Malkiewich, Cary 4 McCarthy, Randy 4 Saito, Shuji 3 Ausoni, Christian 3 Borger, James M. 3 Carlsson, Gunnar E. 3 Clausen, Dustin 3 Kelly, Shane P. 3 Klein, John Robert 3 Lawson, Tyler Douglas 3 Lück, Wolfgang 3 Patchkoria, Irakli 3 Pisolkar, Supriya 3 Rülling, Kay 3 Schlichtkrull, Christian 3 Zakharevich, Inna 2 Angelini-Knoll, Gabriel 2 Banaszak, Grzegorz 2 Bayındır, Haldun Özgür 2 Bergsaker, Håkon Schad 2 Binda, Federico 2 Brun, Morten 2 Bruner, Robert R. 2 Davis, Christopher 2 Deninger, Christopher 2 Hogadi, Amit 2 Hu, Po 2 Huber-Klawitter, Annette 2 Krause, Achim 2 Kříž, Igor 2 Larsen, Michael Jeffrey 2 Lundemo, Tommy 2 Madsen, Ib Henning 2 Mahanta, Snigdhayan 2 Moi, Kristian Jonsson 2 Moulinos, Tasos 2 Nickel, Andreas 2 Østvær, Paul Arne 2 Park, Doosung 2 Park, Jinhyun 2 Pieper, Malte 2 Reich, Holger 2 Richter, Birgit 2 Riggenbach, Noah 2 Sadhu, Vivek 2 Sagave, Steffen 2 Saha, Arnab 2 Schlichting, Marco 2 Scholze, Peter 2 Shipley, Brooke E. 2 Somberg, Petr 2 Speirs, Martin 2 Strunk, Florian 2 Varisco, Marco 2 Weibel, Charles A. 2 Zhao, Yigeng 1 Achinger, Piotr 1 Adamyk, Katharine 1 Addington, Nicolas M. 1 Anschütz, Johannes 1 Antieau, Ben 1 Aravire, Roberto 1 Bachmann, Tom 1 Banerjee, Debargha 1 Banerjee, Sourayan 1 Basterra, Maria 1 Berrick, A. Jon 1 Bertapelle, Alessandra 1 Bloch, Spencer J. 1 Bobkova, Irina 1 Bohmann, Anna Marie 1 Bökstedt, Marcel 1 Bondarenko, Vitalij M. 1 Bragg, Daniel 1 Burklund, Robert 1 Campbell, Jonathan Alfred 1 Carrick, Christian ...and 119 more Authors all top 5 Cited in 58 Serials 17 Journal of Pure and Applied Algebra 16 Advances in Mathematics 14 Geometry & Topology 12 Algebraic & Geometric Topology 11 Transactions of the American Mathematical Society 10 Inventiones Mathematicae 9 Compositio Mathematica 9 Selecta Mathematica. New Series 9 Documenta Mathematica 8 Journal of Algebra 8 Proceedings of the American Mathematical Society 8 Annals of \(K\)-Theory 6 Acta Mathematica 5 Mathematische Zeitschrift 5 Journal of the American Mathematical Society 5 Journal of Homotopy and Related Structures 4 Mathematische Annalen 4 Journal of the Institute of Mathematics of Jussieu 4 Journal of \(K\)-Theory 3 Bulletin of the London Mathematical Society 3 Journal of Number Theory 3 Journal für die Reine und Angewandte Mathematik 3 Nagoya Mathematical Journal 3 Topology and its Applications 3 Annals of Mathematics. Second Series 3 Algebra & Number Theory 3 Journal of Topology 2 Duke Mathematical Journal 2 Publications Mathématiques 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algebra and its Applications 2 Oberwolfach Reports 2 Bollettino dell’Unione Matematica Italiana 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 European Journal of Combinatorics 1 Linear Algebra and its Applications 1 Journal of Algebraic Geometry 1 Theory and Applications of Categories 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Pi 1 Annales Mathématiques du Québec 1 Research in Number Theory 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 21 Fields 159 \(K\)-theory (19-XX) 93 Algebraic topology (55-XX) 89 Algebraic geometry (14-XX) 45 Commutative algebra (13-XX) 43 Category theory; homological algebra (18-XX) 31 Number theory (11-XX) 28 Associative rings and algebras (16-XX) 9 Manifolds and cell complexes (57-XX) 5 Group theory and generalizations (20-XX) 4 Field theory and polynomials (12-XX) 4 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-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.