zbMATH — the first resource for mathematics

Hesselholt, Lars

Compute Distance To:
 Author ID: hesselholt.lars Published as: Hesselholt, Lars Homepage: http://www.math.nagoya-u.ac.jp/~larsh/ External Links: MGP · Wikidata · ORCID
 Documents Indexed: 37 Publications since 1992
all top 5

Co-Authors

 16 single-authored 9 Geisser, Thomas H. 6 Madsen, Ib Henning 2 Larsen, Michael Jeffrey 2 Lindenstrauss, Ayelet 1 Angeltveit, Vigleik 1 Berrick, A. Jon 1 Gerhardt, Teena 1 Huber-Klawitter, Annette 1 Kerz, Moritz C. 1 Nikolaus, Thomas 1 Scholze, Peter
all top 5

Serials

 4 Inventiones Mathematicae 3 Acta Mathematica 2 Topology 2 Journal of the American Mathematical Society 2 Oberwolfach Reports 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
all top 5

Fields

 32 $$K$$-theory (19-XX) 13 Algebraic geometry (14-XX) 11 Algebraic topology (55-XX) 9 Number theory (11-XX) 6 Associative rings and algebras (16-XX) 5 Commutative algebra (13-XX) 4 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 1 Field theory and polynomials (12-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX)

Citations contained in zbMATH

32 Publications have been cited 371 times in 169 Documents Cited by Year
On the $$K$$-theory of finite algebras over Witt vectors of perfect fields. Zbl 0866.55002
1997
On the $$K$$-theory of local fields. Zbl 1033.19002
2003
Topological cyclic homology of schemes. Zbl 0953.19001
Geisser, Thomas; Hesselholt, Lars
1999
On the $$p$$-typical curves in Quillen’s $$K$$-theory. Zbl 0892.19003
Hesselholt, Lars
1996
The big de Rham-Witt complex. Zbl 1316.13028
Hesselholt, Lars
2015
On the de Rham-Witt complex in mixed characteristic. Zbl 1062.19003
2004
Cyclic polytopes and the $$K$$-theory of truncated polynomial algebras. Zbl 0884.19004
1997
On the vanishing of negative $$K$$-groups. Zbl 1203.19001
Geisser, Thomas; Hesselholt, Lars
2010
Bi-relative algebraic $$K$$-theory and topological cyclic homology. Zbl 1107.19002
Geisser, Thomas; Hesselholt, Lars
2006
$$K$$-theory of truncated polynomial algebras. Zbl 1102.19002
Hesselholt, Lars
2005
Witt vectors of non-commutative rings and topological cyclic homology. Zbl 0894.19001
Hesselholt, Lars
1997
The de Rham-Witt complex and $$p$$-adic vanishing cycles. Zbl 1087.19002
Geisser, Thomas; Hesselholt, Lars
2006
Topological Hochschild homology and the Hasse-Weil zeta function. Zbl 1402.19002
Hesselholt, Lars
2018
On the $$K$$-theory and topological cyclic homology of smooth schemes over a discrete valuation ring. Zbl 1087.19003
Geisser, Thomas; Hesselholt, Lars
2006
On relative and bi-relative algebraic $$K$$-theory of rings of finite characteristic. Zbl 1247.19003
Geisser, Thomas; Hesselholt, Lars
2011
On the topological cyclic homology of the algebraic closure of a local field. Zbl 1217.19002
Hesselholt, Lars
2006
On the $$K$$-theory of the coordinate axes in the plane. Zbl 1136.19002
Hesselholt, Lars
2007
On the $$K$$-theory of complete regular local $$\mathbb F_{p}$$-algebras. Zbl 1093.19003
Geisser, Thomas; Hesselholt, Lars
2006
The absolute and relative de Rham-Witt complexes. Zbl 1173.11335
Hesselholt, Lars
2005
On the $$K$$-theory of nilpotent endomorphisms. Zbl 0992.19002
2001
Stable topological cyclic homology is topological Hochschild homology. Zbl 0816.19002
Hesselholt, Lars
1994
On the Whitehead spectrum of the circle. Zbl 1196.19009
Hesselholt, Lars
2009
Algebraic $$K$$-theory and trace invariants. Zbl 1011.19002
Hesselholt, Lars
2002
On the $$K$$-theory of planar cuspical curves and new family of polytopes. Zbl 1331.19004
Hesselholt, Lars
2014
Galois cohomology of Witt vectors of algebraic integers. Zbl 1109.11057
Hesselholt, Lars
2004
A homotopy theoretical derivation of $$Q\text{Map}(K, -)_ +$$. Zbl 0761.55011
Hesselholt, Lars
1992
On the $$K$$-theory of truncated polynomial algebras over the integers. Zbl 1232.19002
Angeltveit, Vigleik; Gerhardt, Teena; Hesselholt, Lars
2009
Topological Hochschild homology and the de Rham-Witt complex for $$\mathbb Z_{(p)}$$-algebras. Zbl 1076.19003
Hesselholt, Lars
2004
Working session: Topological cyclic homology. Abstracts from the working session held April 1–7, 2018. Zbl 1409.00093
Hesselholt, Lars (ed.); Scholze, Peter (ed.)
2018
Topological Hochschild homology and the Bass trace conjecture. Zbl 1365.19001
Berrick, A. J.; Hesselholt, Lars
2015
The tower of $$K$$-theory of truncated polynomial algebras. Zbl 1146.19002
Hesselholt, Lars
2008
The $$S^ 1$$-Tate spectrum for $$J$$. Zbl 0851.55013
1992
Topological Hochschild homology and the Hasse-Weil zeta function. Zbl 1402.19002
Hesselholt, Lars
2018
Working session: Topological cyclic homology. Abstracts from the working session held April 1–7, 2018. Zbl 1409.00093
Hesselholt, Lars (ed.); Scholze, Peter (ed.)
2018
The big de Rham-Witt complex. Zbl 1316.13028
Hesselholt, Lars
2015
Topological Hochschild homology and the Bass trace conjecture. Zbl 1365.19001
Berrick, A. J.; Hesselholt, Lars
2015
On the $$K$$-theory of planar cuspical curves and new family of polytopes. Zbl 1331.19004
Hesselholt, Lars
2014
On relative and bi-relative algebraic $$K$$-theory of rings of finite characteristic. Zbl 1247.19003
Geisser, Thomas; Hesselholt, Lars
2011
On the vanishing of negative $$K$$-groups. Zbl 1203.19001
Geisser, Thomas; Hesselholt, Lars
2010
On the Whitehead spectrum of the circle. Zbl 1196.19009
Hesselholt, Lars
2009
On the $$K$$-theory of truncated polynomial algebras over the integers. Zbl 1232.19002
Angeltveit, Vigleik; Gerhardt, Teena; Hesselholt, Lars
2009
The tower of $$K$$-theory of truncated polynomial algebras. Zbl 1146.19002
Hesselholt, Lars
2008
On the $$K$$-theory of the coordinate axes in the plane. Zbl 1136.19002
Hesselholt, Lars
2007
Bi-relative algebraic $$K$$-theory and topological cyclic homology. Zbl 1107.19002
Geisser, Thomas; Hesselholt, Lars
2006
The de Rham-Witt complex and $$p$$-adic vanishing cycles. Zbl 1087.19002
Geisser, Thomas; Hesselholt, Lars
2006
On the $$K$$-theory and topological cyclic homology of smooth schemes over a discrete valuation ring. Zbl 1087.19003
Geisser, Thomas; Hesselholt, Lars
2006
On the topological cyclic homology of the algebraic closure of a local field. Zbl 1217.19002
Hesselholt, Lars
2006
On the $$K$$-theory of complete regular local $$\mathbb F_{p}$$-algebras. Zbl 1093.19003
Geisser, Thomas; Hesselholt, Lars
2006
$$K$$-theory of truncated polynomial algebras. Zbl 1102.19002
Hesselholt, Lars
2005
The absolute and relative de Rham-Witt complexes. Zbl 1173.11335
Hesselholt, Lars
2005
On the de Rham-Witt complex in mixed characteristic. Zbl 1062.19003
2004
Galois cohomology of Witt vectors of algebraic integers. Zbl 1109.11057
Hesselholt, Lars
2004
Topological Hochschild homology and the de Rham-Witt complex for $$\mathbb Z_{(p)}$$-algebras. Zbl 1076.19003
Hesselholt, Lars
2004
On the $$K$$-theory of local fields. Zbl 1033.19002
2003
Algebraic $$K$$-theory and trace invariants. Zbl 1011.19002
Hesselholt, Lars
2002
On the $$K$$-theory of nilpotent endomorphisms. Zbl 0992.19002
2001
Topological cyclic homology of schemes. Zbl 0953.19001
Geisser, Thomas; Hesselholt, Lars
1999
On the $$K$$-theory of finite algebras over Witt vectors of perfect fields. Zbl 0866.55002
1997
Cyclic polytopes and the $$K$$-theory of truncated polynomial algebras. Zbl 0884.19004
1997
Witt vectors of non-commutative rings and topological cyclic homology. Zbl 0894.19001
Hesselholt, Lars
1997
On the $$p$$-typical curves in Quillen’s $$K$$-theory. Zbl 0892.19003
Hesselholt, Lars
1996
Stable topological cyclic homology is topological Hochschild homology. Zbl 0816.19002
Hesselholt, Lars
1994
A homotopy theoretical derivation of $$Q\text{Map}(K, -)_ +$$. Zbl 0761.55011
Hesselholt, Lars
1992
The $$S^ 1$$-Tate spectrum for $$J$$. Zbl 0851.55013
1992
all top 5

Cited by 156 Authors

 16 Hesselholt, Lars 15 Rognes, John 11 Blumberg, Andrew J. 10 Lindenstrauss, Ayelet 9 Angeltveit, Vigleik 8 Tabuada, Gonçalo 7 Gerhardt, Teena 7 Mandell, Michael A. 6 Dundas, Bjørn Ian 6 Geisser, Thomas H. 5 Morrow, Matthew 4 Hill, Michael A. 4 Kaledin, Dmitry B. 4 Krishna, Amalendu 4 McCarthy, Randy 4 Tamme, Georg 3 Ausoni, Christian 3 Bhatt, Bhargav 3 Borger, James M. 3 Connes, Alain 3 Gepner, David 3 Kerz, Moritz C. 3 Lawson, Tyler Douglas 3 Lück, Wolfgang 3 Pisolkar, Supriya 3 Saito, Shuji 3 Schlichtkrull, Christian 3 Zakharevich, Inna 2 Antieau, Benjamin 2 Banaszak, Grzegorz 2 Brun, Morten 2 Bruner, Robert R. 2 Carlsson, Gunnar E. 2 Davis, Christopher 2 Deninger, Christopher 2 Dotto, Emanuele 2 Hogadi, Amit 2 Höning, Eva 2 Kelly, Shane 2 Larsen, Michael Jeffrey 2 Madsen, Ib Henning 2 Mahanta, Snigdhayan 2 Mathew, Akhil 2 Nikolaus, Thomas 2 Pieper, Malte 2 Reich, Holger 2 Richter, Birgit 2 Rülling, Kay 2 Sagave, Steffen 2 Saha, Arnab 2 Scholze, Peter 2 Shipley, Brooke E. 2 Varisco, Marco 2 Weibel, Charles A. 2 Zhao, Yigeng 1 Aravire, Roberto 1 Basterra, Maria 1 Bergsaker, Håkon Schad 1 Berrick, A. Jon 1 Bloch, Spencer J. 1 Bobkova, Irina 1 Bohmann, Anna Marie 1 Bökstedt, Marcel 1 Bondarenko, Vitalij M. 1 Brun, Mats Kirkesæther 1 Campbell, Jonathan Alfred 1 Chalupnik, Marcin 1 Chan, Henry Yi-Wei 1 Chu, Chenghao 1 Cisinski, Denis-Charles 1 Clausen, Dustin 1 Consani, Caterina 1 Cordovil, Raul 1 Cortiñas, Guillermo H. 1 Cuntz, Joachim 1 Davis, Christopher William 1 Davis, Daniel G. 1 Douglas, Christopher L. 1 Dribus, Benjamin F. 1 Duchet, Pierre 1 Dugger, Daniel 1 Enkelmann, Nils-Edvin 1 Ertl, Veronika 1 Esnault, Hélène 1 Fiore, Thomas M. 1 Gerasimova, Tatiana G. 1 Gillet, Henri A. 1 Grayson, Daniel Richard 1 Grinberg, Darij 1 Halliwell, Gemma 1 Hasemeyer, Christian 1 Hazewinkel, Michiel 1 Helle, Gard Olav 1 Hoffman, Jerome William 1 Hovey, Mark A. 1 Hu, Dian 1 Huber-Klawitter, Annette 1 Jacob, Bill 1 Jannsen, Uwe 1 Junkins, Caroline ...and 56 more Authors
all top 5

Cited in 51 Serials

 14 Journal of Pure and Applied Algebra 12 Advances in Mathematics 12 Geometry & Topology 8 Transactions of the American Mathematical Society 8 Algebraic & Geometric Topology 7 Inventiones Mathematicae 7 Journal of Algebra 6 Acta Mathematica 6 Proceedings of the American Mathematical Society 6 Documenta Mathematica 4 Mathematische Zeitschrift 4 Selecta Mathematica. New Series 4 Journal of $$K$$-Theory 3 Compositio Mathematica 3 Journal of Number Theory 3 Mathematische Annalen 3 Nagoya Mathematical Journal 3 Journal of the American Mathematical Society 3 Algebra & Number Theory 3 Annals of $$K$$-Theory 2 Publications Mathématiques 2 Journal für die Reine und Angewandte Mathematik 2 Topology and its Applications 2 Annals of Mathematics. Second Series 2 Journal of Algebra and its Applications 2 Journal of Homotopy and Related Structures 2 Journal of Topology 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 Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 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 Izvestiya: Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Japanese Journal of Mathematics. 3rd Series 1 Annales Mathématiques du Québec
all top 5

Cited in 21 Fields

 108 $$K$$-theory (19-XX) 65 Algebraic topology (55-XX) 48 Algebraic geometry (14-XX) 32 Commutative algebra (13-XX) 32 Category theory; homological algebra (18-XX) 22 Number theory (11-XX) 22 Associative rings and algebras (16-XX) 7 Manifolds and cell complexes (57-XX) 4 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.