Edit Profile (opens in new tab) Lichtenbaum, Stephen Co-Author Distance Author ID: lichtenbaum.stephen Published as: Lichtenbaum, Stephen; Lichtenbaum, S. External Links: MGP · Wikidata Documents Indexed: 38 Publications since 1966, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 28 Co-Authors with 12 Joint Publications 671 Co-Co-Authors all top 5 Co-Authors 27 single-authored 3 Mazur, Barry 2 Coates, John Henry 2 Perrin-Riou, Bernadette 2 Ramachandran, Niranjan 2 Schneps, Leila 1 Acquista, Karen 1 Artin, Michael 1 Brattström, Gudrun 1 Buhler, Joe P. 1 Clausen, Dustin 1 Fesenko, Ivan Borisovich 1 Goodwillie, Thomas Gehret 1 Gross, Benedict Hyman 1 Jackson, Allyn 1 Kakde, Mahesh 1 Kubert, Daniel Sion 1 Ladegaillerie, Yves 1 Lochak, Pierre 1 Lubin, Jonathan D. 1 Messing, William 1 Mumford, David Bryant 1 Murre, Jacob Pieter 1 Murty, Vijaya Kumar 1 Popescu, Cristian D. 1 Ribet, Kenneth Alan 1 Schlessinger, Michael 1 Silverman, Joseph Hillel 1 Sweedler, Moss Eisenberg 1 Tate, John Torrence jun. 1 Uhlenbeck, Karen Keskulla 1 Voloch, José Felipe 1 Wiles, Andrew John all top 5 Serials 3 American Journal of Mathematics 3 Compositio Mathematica 3 Inventiones Mathematicae 3 Notices of the American Mathematical Society 3 Annals of Mathematics. Second Series 2 Journal of the Institute of Mathematics of Jussieu 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Transactions of the American Mathematical Society 1 Épijournal de Géométrie Algébrique. EPIGA 1 Documenta Mathematica Series all top 5 Fields 25 Algebraic geometry (14-XX) 22 Number theory (11-XX) 5 \(K\)-theory (19-XX) 3 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 667 times in 568 Documents Cited by ▼ Year ▼ The cotangent complex of a morphism. Zbl 0156.27201 Lichtenbaum, S.; Schlessinger, M. 112 1967 Duality theorems for curves over p-adic fields. Zbl 0186.26402 Lichtenbaum, S. 102 1969 On the vanishing of Tor in regular local rings. Zbl 0139.26601 Lichtenbaum, S. 76 1966 Curves over discrete valuation rings. Zbl 0194.22101 Lichtenbaum, S. 51 1968 On l-adic zeta functions. Zbl 0279.12005 Coates, J.; Lichtenbaum, S. 45 1973 Values of zeta-functions at non-negative integers. Zbl 0591.14014 Lichtenbaum, S. 32 1984 Values of zeta-functions, étale cohomology, and algebraic \(K\)-theory. Zbl 0284.12005 Lichtenbaum, Stephen 31 1973 The Weil-étale topology on schemes over finite fields. Zbl 1073.14024 Lichtenbaum, S. 31 2005 The construction of weight-two arithmetic cohomology. Zbl 0615.14004 Lichtenbaum, Stephen 28 1987 The period-index problem for elliptic curves. Zbl 0187.18602 Lichtenbaum, Stephen 28 1968 The Weil-étale topology for number rings. Zbl 1278.14029 Lichtenbaum, Stephen 23 2009 On the values of zeta and L-functions. I. Zbl 0251.12002 Lichtenbaum, Stephen 21 1972 On p-adic L-functions associated to elliptic curves. Zbl 0425.12017 Lichtenbaum, Stephen 15 1980 New results on weight-two motivic cohomology. Zbl 0809.14004 Lichtenbaum, S. 14 1990 A cohomological bound for the \(h\)-topology. Zbl 1045.14010 Goodwillie, T. G.; Lichtenbaum, S. 11 2001 Zeta-functions of varieties over finite fields at \(s=1\). Zbl 0567.14015 Lichtenbaum, Stephen 8 1983 Values of zeta and L-functions at zero. Zbl 0312.12016 Lichtenbaum, Stephen 6 1975 Groups related to scissors-congruence groups. Zbl 0674.55012 Lichtenbaum, Stephen 5 1989 Suslin homology and Deligne 1-motives. Zbl 0902.14004 Lichtenbaum, Stephen 4 1993 Jacobi-sum Hecke characters and Gauss-sum identities. Zbl 0513.12010 Kubert, Daniel S.; Lichtenbaum, Stephen 4 1983 Euler characteristics and special values of zeta-functions. Zbl 1245.14023 Lichtenbaum, Stephen 4 2009 Jacobi-sum Hecke characters of imaginary quadratic fields. Zbl 0584.12007 Brattström, Gudrun; Lichtenbaum, Stephen 2 1984 The conjectures of Artin-Tate and Birch-Swinnerton-Dyer. Zbl 1498.11153 Lichtenbaum, Stephen; Ramachandran, Niranjan; Suzuki, Takashi 2 2022 Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023 Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila 2 2016 Motivic complexes. Zbl 0827.14007 Lichtenbaum, Stephen 2 1994 Behavior of the zeta-function of open surfaces at \(s=1\). Zbl 0738.14013 Lichtenbaum, S. 1 1989 Values of L-functions of Jacobi-sum Hecke characters of Abelian fields. Zbl 0518.12005 Lichtenbaum, Stephen 1 1982 The conjectures of Artin-Tate and Birch-Swinnerton-Dyer. Zbl 1498.11153 Lichtenbaum, Stephen; Ramachandran, Niranjan; Suzuki, Takashi 2 2022 Alexandre Grothendieck 1928–2014, part 2. Zbl 1338.01023 Ladegaillerie, Yves; Lichtenbaum, Stephen; Lochak, Pierre; Mazur, Barry; Messing, William; Murre, Jacob; Schneps, Leila 2 2016 The Weil-étale topology for number rings. Zbl 1278.14029 Lichtenbaum, Stephen 23 2009 Euler characteristics and special values of zeta-functions. Zbl 1245.14023 Lichtenbaum, Stephen 4 2009 The Weil-étale topology on schemes over finite fields. Zbl 1073.14024 Lichtenbaum, S. 31 2005 A cohomological bound for the \(h\)-topology. Zbl 1045.14010 Goodwillie, T. G.; Lichtenbaum, S. 11 2001 Motivic complexes. Zbl 0827.14007 Lichtenbaum, Stephen 2 1994 Suslin homology and Deligne 1-motives. Zbl 0902.14004 Lichtenbaum, Stephen 4 1993 New results on weight-two motivic cohomology. Zbl 0809.14004 Lichtenbaum, S. 14 1990 Groups related to scissors-congruence groups. Zbl 0674.55012 Lichtenbaum, Stephen 5 1989 Behavior of the zeta-function of open surfaces at \(s=1\). Zbl 0738.14013 Lichtenbaum, S. 1 1989 The construction of weight-two arithmetic cohomology. Zbl 0615.14004 Lichtenbaum, Stephen 28 1987 Values of zeta-functions at non-negative integers. Zbl 0591.14014 Lichtenbaum, S. 32 1984 Jacobi-sum Hecke characters of imaginary quadratic fields. Zbl 0584.12007 Brattström, Gudrun; Lichtenbaum, Stephen 2 1984 Zeta-functions of varieties over finite fields at \(s=1\). Zbl 0567.14015 Lichtenbaum, Stephen 8 1983 Jacobi-sum Hecke characters and Gauss-sum identities. Zbl 0513.12010 Kubert, Daniel S.; Lichtenbaum, Stephen 4 1983 Values of L-functions of Jacobi-sum Hecke characters of Abelian fields. Zbl 0518.12005 Lichtenbaum, Stephen 1 1982 On p-adic L-functions associated to elliptic curves. Zbl 0425.12017 Lichtenbaum, Stephen 15 1980 Values of zeta and L-functions at zero. Zbl 0312.12016 Lichtenbaum, Stephen 6 1975 On l-adic zeta functions. Zbl 0279.12005 Coates, J.; Lichtenbaum, S. 45 1973 Values of zeta-functions, étale cohomology, and algebraic \(K\)-theory. Zbl 0284.12005 Lichtenbaum, Stephen 31 1973 On the values of zeta and L-functions. I. Zbl 0251.12002 Lichtenbaum, Stephen 21 1972 Duality theorems for curves over p-adic fields. Zbl 0186.26402 Lichtenbaum, S. 102 1969 Curves over discrete valuation rings. Zbl 0194.22101 Lichtenbaum, S. 51 1968 The period-index problem for elliptic curves. Zbl 0187.18602 Lichtenbaum, Stephen 28 1968 The cotangent complex of a morphism. Zbl 0156.27201 Lichtenbaum, S.; Schlessinger, M. 112 1967 On the vanishing of Tor in regular local rings. Zbl 0139.26601 Lichtenbaum, S. 76 1966 all cited Publications top 5 cited Publications all top 5 Cited by 548 Authors 14 Geisser, Thomas H. 9 Celikbas, Olgur 9 Dutta, Sankar Prasad 8 Colliot-Thélène, Jean-Louis 8 Lichtenbaum, Stephen 7 Burns, David John 7 Huneke, Craig L. 7 Kahn, Bruno 7 Levine, Marc Noel 7 Morin, Baptiste 5 Greenberg, Ralph 5 Kelly, Shane P. 5 Lindner, Martin 5 Sadeghi, Arash 5 Vasconcelos, Wolmer V. 4 Dao, Hailong 4 Herzog, Jürgen 4 Jorgensen, David A. 4 Liu, Qing 4 Matsui, Hiroki 4 Merkur’ev, Aleksandr Sergeevich 4 Milne, James Stuart 4 Nguyen Quang Do, Thong 4 Ramachandran, Niranjan 4 Weibel, Charles A. 4 Yamazaki, Takao 3 Adamus, Janusz 3 Aleksandrov, Aleksandr Grigor’evich 3 Altmann, Klaus 3 Bergh, Petter Andreas 3 Creutz, Brendan 3 Datuashvili, Tamar 3 Deninger, Christopher 3 Dolgachev, Igor’ Vladimirovich 3 Douai, Jean-Claude 3 Esnault, Hélène 3 Fisher, Tom A. 3 Flach, Matthias 3 Gillard, Roland 3 Harari, David 3 Huber-Klawitter, Annette 3 Kolster, Manfred 3 Koya, Yoshihiro 3 Kubert, Daniel Sion 3 Kurihara, Masato 3 Kustin, Andrew R. 3 Lang, Serge 3 Le, Uyen 3 Macias Castillo, Daniel 3 Nicaise, Johannes 3 Parimala, Raman 3 Park, Jongil 3 Porter, Timothy 3 Ran, Ziv 3 Raynaud, Michel 3 Rognes, John 3 Saïdi, Mohamed Réda 3 Saito, Shuji 3 Sato, Kanetomo 3 Satriano, Matthew 3 Schlessinger, Michael 3 Schneider, Peter 3 Sharif, Shahed 3 Sinnott, Warren M. 3 Soulé, Christophe 3 Stix, Jakob 3 Szamuely, Tamás 3 Ulrich, Bernd 3 Vale, María J. 3 Wahl, Jonathan M. 3 Wiegand, Roger Allen 3 Wittenberg, Olivier 3 Yanchevskiĭ, Vyacheslav Ivanovich 2 Akça, Ibrahim Ilker 2 Angelini-Knoll, Gabriel 2 Avcioǧlu, Osman 2 Bennett, Bruce M. 2 Bhatt, Bhargav 2 Bloch, Spencer J. 2 Boxall, John L. 2 Casas Miras, José Manuel 2 Cassou-Noguès, Pierrette 2 Cathelineau, Jean-Louis 2 Celikbas, Olgur 2 Chernousov, Vladimir I. 2 Chinburg, Ted 2 Christophersen, Jan Arthur 2 Clark, Peter Louis 2 Coates, John Henry 2 de Jeu, Rob 2 Faramarzi, Seadat Ollah 2 Flamini, Flaminio 2 Friedlander, Eric Mark 2 Gonzalez-Avilés, Cristian D. 2 Gras, Georges 2 Gros, Michel 2 Gupta, Parul 2 Haile, Darrell E. 2 Han, Ilseop 2 Hochster, Melvin ...and 448 more Authors all top 5 Cited in 120 Serials 44 Inventiones Mathematicae 44 Journal of Algebra 33 Journal of Pure and Applied Algebra 30 Compositio Mathematica 26 Transactions of the American Mathematical Society 24 Mathematische Annalen 21 Journal of Number Theory 17 Duke Mathematical Journal 15 Annales de l’Institut Fourier 14 Mathematische Zeitschrift 13 Manuscripta Mathematica 12 Proceedings of the American Mathematical Society 9 \(K\)-Theory 8 Archiv der Mathematik 8 Journal für die Reine und Angewandte Mathematik 8 Journal of the American Mathematical Society 8 Journal of the Institute of Mathematics of Jussieu 7 Advances in Mathematics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Publications Mathématiques 7 Journal of Soviet Mathematics 7 Journal of Algebraic Geometry 6 Nagoya Mathematical Journal 6 International Journal of Number Theory 5 Bulletin de la Société Mathématique de France 5 Journal of the London Mathematical Society. Second Series 5 Bulletin of the American Mathematical Society. New Series 5 Journal de Théorie des Nombres de Bordeaux 4 Communications in Algebra 4 Israel Journal of Mathematics 4 Proceedings of the Japan Academy. Series A 4 Tôhoku Mathematical Journal. Second Series 4 Documenta Mathematica 4 Annals of Mathematics. Second Series 4 Algebra & Number Theory 4 Journal of Commutative Algebra 3 Ukrainian Mathematical Journal 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Functional Analysis and its Applications 3 Proceedings of the London Mathematical Society. Third Series 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Bulletin des Sciences Mathématiques 3 Forum of Mathematics, Sigma 2 Bulletin of the Australian Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 Acta Mathematica 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Functiones et Approximatio. Commentarii Mathematici 2 Kodai Mathematical Journal 2 Michigan Mathematical Journal 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Journal of the Ramanujan Mathematical Society 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Georgian Mathematical Journal 2 Selecta Mathematica. New Series 2 Geometry & Topology 2 Journal of the European Mathematical Society (JEMS) 2 Algebraic & Geometric Topology 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Bulletin of the American Mathematical Society 2 Journal of \(K\)-Theory 2 Science China. Mathematics 2 Kyoto Journal of Mathematics 2 EMS Surveys in Mathematical Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 Journal of Symbolic Computation 1 Sugaku Expositions 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 L’Enseignement Mathématique. 2e Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Categorical Structures 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Kyushu Journal of Mathematics 1 Turkish Journal of Mathematics ...and 20 more Serials all top 5 Cited in 28 Fields 345 Algebraic geometry (14-XX) 235 Number theory (11-XX) 126 Commutative algebra (13-XX) 69 \(K\)-theory (19-XX) 40 Category theory; homological algebra (18-XX) 35 Associative rings and algebras (16-XX) 31 Field theory and polynomials (12-XX) 19 Group theory and generalizations (20-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Algebraic topology (55-XX) 15 Manifolds and cell complexes (57-XX) 9 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 General algebraic systems (08-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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