Edit Profile (opens in new tab) Fasel, Jean Co-Author Distance Author ID: fasel.jean Published as: Fasel, Jean; Fasel, J. Homepage: https://www-fourier.univ-grenoble-alpes.fr/~faselj/ External Links: MGP · ORCID · ResearchGate · dblp · GND Documents Indexed: 54 Publications since 2007, including 17 Additional arXiv Preprints Co-Authors: 23 Co-Authors with 39 Joint Publications 320 Co-Co-Authors all top 5 Co-Authors 15 single-authored 15 Asok, Aravind 8 Déglise, Frédéric 6 Calmès, Baptiste 3 Hopkins, Michael Jerome 2 Bachmann, Tom 2 Jin, Fangzhou 2 Khan, Adeel A. 2 Østvær, Paul Arne 2 Srinivas, Vasudevan 1 Berhuy, Grégory 1 Bhatwadekar, Srikant M. 1 Coulette, David 1 Das, Mrinal Kanti 1 Dell’Ambrogio, Ivo 1 Doran, Brent 1 Dubouloz, Adrien 1 Garotta, Odile 1 Haution, Olivier 1 Hornbostel, Jens 1 Rao, Ravi A. 1 Sane, Sarang 1 Swan, Richard Gordon 1 Williams, Ben 1 Yang, Nanjun all top 5 Serials 3 Journal of Pure and Applied Algebra 2 Duke Mathematical Journal 2 Journal of the Ramanujan Mathematical Society 2 Documenta Mathematica 2 Annals of Mathematics. Second Series 2 Journal of Topology 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Gazette des Mathématiciens 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Algebra 1 Manuscripta Mathematica 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Advances in Mathematics of Communications 1 Journal of \(K\)-Theory 1 Forum of Mathematics, Sigma 1 Algebraic Geometry 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 43 Algebraic geometry (14-XX) 34 \(K\)-theory (19-XX) 29 Commutative algebra (13-XX) 13 Number theory (11-XX) 11 Algebraic topology (55-XX) 4 Category theory; homological algebra (18-XX) 4 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 1 Associative rings and algebras (16-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 374 times in 157 Documents Cited by ▼ Year ▼ Chow-Witt groups. (Groups de Chow-Witt.) Zbl 1190.14001 Fasel, Jean 43 2008 Chow-Witt groups and Grothendieck-Witt groups of regular schemes. Zbl 1167.13006 Fasel, J.; Srinivas, V. 28 2009 Splitting vector bundles outside the stable range and \(\mathbb A^1\) – homotopy sheaves of punctured affine spaces. Zbl 1329.14045 Asok, Aravind; Fasel, Jean 26 2015 Algebraic vector bundles on spheres. Zbl 1326.14098 Asok, Aravind; Fasel, Jean 22 2014 A cohomological classification of vector bundles on smooth affine threefolds. Zbl 1314.14044 Asok, Aravind; Fasel, Jean 22 2014 Comparing Euler classes. Zbl 1372.14013 Asok, A.; Fasel, J. 21 2016 On stably free modules over affine algebras. Zbl 1256.13008 Fasel, Jean; Rao, R. A.; Swan, R. G. 20 2012 Some remarks on orbit sets of unimodular rows. Zbl 1205.13013 Fasel, Jean 19 2011 An explicit \(KO\)-degree map and applications. Zbl 1400.14060 Asok, Aravind; Fasel, Jean 17 2017 The projective bundle theorem for \(I^j\)-cohomology. Zbl 1272.14019 Fasel, Jean 16 2013 Secondary characteristic classes and the Euler class. Zbl 1349.14078 Asok, Aravind; Fasel, Jean 13 2015 The Chow-Witt ring. Zbl 1169.14302 Fasel, Jean 12 2007 Smooth models of motivic spheres and the clutching construction. Zbl 1405.14050 Asok, Aravind; Doran, Brent; Fasel, Jean 12 2017 Classical groups. (Groupes classiques.) Zbl 1360.20048 Calmès, Baptiste; Fasel, Jean 10 2015 Families of \(\mathbb A^1\)-contractible affine threefolds. Zbl 1408.14078 Dubouloz, Adrien; Fasel, Jean 10 2018 On the number of generators of ideals in polynomial rings. Zbl 1372.13014 Fasel, Jean 9 2016 Lectures on Chow-Witt groups. Zbl 1442.14025 Fasel, Jean 8 2020 Trivial Witt groups of flag varieties. Zbl 1235.19002 Calmès, Baptiste; Fasel, Jean 7 2012 The excess intersection formula for Grothendieck-Witt groups. Zbl 1195.14009 Fasel, Jean 7 2009 Mennicke symbols, \(K\)-cohomology and a Bass-Kubota theorem. Zbl 1330.19003 Fasel, J. 7 2015 A vanishing theorem for oriented intersection multiplicities. Zbl 1204.13016 Fasel, J.; Srinivas, V. 7 2008 On the rational motivic homotopy category. (Sur la catégorie \(\mathbb{A}^1\)-homotopique rationnelle.) Zbl 1471.14052 Déglise, Frédéric; Fasel, Jean; Jin, Fangzhou; Khan, Adeel A. 7 2021 Stably free modules over smooth affine threefolds. Zbl 1209.13015 Fasel, Jean 5 2011 Obstructions to algebraizing topological vector bundles. Zbl 1504.14043 Asok, A.; Fasel, J.; Hopkins, M. J. 4 2019 Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das). Zbl 1487.14053 Asok, Aravind; Fasel, Jean 4 2022 A degree map on unimodular rows. Zbl 1257.19001 Fasel, Jean 3 2012 Projective modules over the real algebraic sphere of dimension 3. Zbl 1210.13015 Fasel, J. 3 2011 Motivic spheres and the image of the Suslin-Hurewicz map. Zbl 1444.19004 Asok, Aravind; Fasel, Jean; Williams, Ben 3 2020 The Witt groups of the spheres away from two. Zbl 1202.19006 Dell’Ambrogio, Ivo; Fasel, Jean 2 2008 Erratum to: “On the number of generators of ideals in polynomial rings”. Zbl 1372.13015 Fasel, Jean 2 2017 Rank weights for arbitrary finite field extensions. Zbl 1481.94159 Berhuy, Grégory; Fasel, Jean; Garotta, Odile 2 2021 Localization and nilpotent spaces in \(\mathbb{A}^1\)-homotopy theory. Zbl 1495.14035 Asok, Aravind; Fasel, Jean; Hopkins, Michael J. 1 2022 The Borel character. Zbl 1514.14027 Déglise, Frédéric; Fasel, Jean 1 2023 Euler class groups and 2-torsion elements. Zbl 1354.13016 Bhatwadekar, S. M.; Fasel, J.; Sane, S. 1 2014 The Borel character. Zbl 1514.14027 Déglise, Frédéric; Fasel, Jean 1 2023 Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das). Zbl 1487.14053 Asok, Aravind; Fasel, Jean 4 2022 Localization and nilpotent spaces in \(\mathbb{A}^1\)-homotopy theory. Zbl 1495.14035 Asok, Aravind; Fasel, Jean; Hopkins, Michael J. 1 2022 On the rational motivic homotopy category. (Sur la catégorie \(\mathbb{A}^1\)-homotopique rationnelle.) Zbl 1471.14052 Déglise, Frédéric; Fasel, Jean; Jin, Fangzhou; Khan, Adeel A. 7 2021 Rank weights for arbitrary finite field extensions. Zbl 1481.94159 Berhuy, Grégory; Fasel, Jean; Garotta, Odile 2 2021 Lectures on Chow-Witt groups. Zbl 1442.14025 Fasel, Jean 8 2020 Motivic spheres and the image of the Suslin-Hurewicz map. Zbl 1444.19004 Asok, Aravind; Fasel, Jean; Williams, Ben 3 2020 Obstructions to algebraizing topological vector bundles. Zbl 1504.14043 Asok, A.; Fasel, J.; Hopkins, M. J. 4 2019 Families of \(\mathbb A^1\)-contractible affine threefolds. Zbl 1408.14078 Dubouloz, Adrien; Fasel, Jean 10 2018 An explicit \(KO\)-degree map and applications. Zbl 1400.14060 Asok, Aravind; Fasel, Jean 17 2017 Smooth models of motivic spheres and the clutching construction. Zbl 1405.14050 Asok, Aravind; Doran, Brent; Fasel, Jean 12 2017 Erratum to: “On the number of generators of ideals in polynomial rings”. Zbl 1372.13015 Fasel, Jean 2 2017 Comparing Euler classes. Zbl 1372.14013 Asok, A.; Fasel, J. 21 2016 On the number of generators of ideals in polynomial rings. Zbl 1372.13014 Fasel, Jean 9 2016 Splitting vector bundles outside the stable range and \(\mathbb A^1\) – homotopy sheaves of punctured affine spaces. Zbl 1329.14045 Asok, Aravind; Fasel, Jean 26 2015 Secondary characteristic classes and the Euler class. Zbl 1349.14078 Asok, Aravind; Fasel, Jean 13 2015 Classical groups. (Groupes classiques.) Zbl 1360.20048 Calmès, Baptiste; Fasel, Jean 10 2015 Mennicke symbols, \(K\)-cohomology and a Bass-Kubota theorem. Zbl 1330.19003 Fasel, J. 7 2015 Algebraic vector bundles on spheres. Zbl 1326.14098 Asok, Aravind; Fasel, Jean 22 2014 A cohomological classification of vector bundles on smooth affine threefolds. Zbl 1314.14044 Asok, Aravind; Fasel, Jean 22 2014 Euler class groups and 2-torsion elements. Zbl 1354.13016 Bhatwadekar, S. M.; Fasel, J.; Sane, S. 1 2014 The projective bundle theorem for \(I^j\)-cohomology. Zbl 1272.14019 Fasel, Jean 16 2013 On stably free modules over affine algebras. Zbl 1256.13008 Fasel, Jean; Rao, R. A.; Swan, R. G. 20 2012 Trivial Witt groups of flag varieties. Zbl 1235.19002 Calmès, Baptiste; Fasel, Jean 7 2012 A degree map on unimodular rows. Zbl 1257.19001 Fasel, Jean 3 2012 Some remarks on orbit sets of unimodular rows. Zbl 1205.13013 Fasel, Jean 19 2011 Stably free modules over smooth affine threefolds. Zbl 1209.13015 Fasel, Jean 5 2011 Projective modules over the real algebraic sphere of dimension 3. Zbl 1210.13015 Fasel, J. 3 2011 Chow-Witt groups and Grothendieck-Witt groups of regular schemes. Zbl 1167.13006 Fasel, J.; Srinivas, V. 28 2009 The excess intersection formula for Grothendieck-Witt groups. Zbl 1195.14009 Fasel, Jean 7 2009 Chow-Witt groups. (Groups de Chow-Witt.) Zbl 1190.14001 Fasel, Jean 43 2008 A vanishing theorem for oriented intersection multiplicities. Zbl 1204.13016 Fasel, J.; Srinivas, V. 7 2008 The Witt groups of the spheres away from two. Zbl 1202.19006 Dell’Ambrogio, Ivo; Fasel, Jean 2 2008 The Chow-Witt ring. Zbl 1169.14302 Fasel, Jean 12 2007 all cited Publications top 5 cited Publications all top 5 Cited by 131 Authors 19 Fasel, Jean 14 Asok, Aravind 9 Wickelgren, Kirsten G. 8 Mandal, Satya 8 Østvær, Paul Arne 8 Rao, Ravi A. 6 Wendt, Matthias 6 Zinna, Md. Ali 5 Das, Mrinal Kanti 5 Levine, Marc Noel 5 Schlichting, Marco 5 Sharma, Sampat 4 Bachmann, Tom 4 Déglise, Frédéric 4 Feld, Niels 4 Gille, Stefan G. 4 Jin, Fangzhou 4 Keshari, Manoj Kumar 4 Syed, Tariq 4 Zibrowius, Marcus 3 Dubouloz, Adrien 3 Gupta, Neena 3 Guyot, Luc 3 Hornbostel, Jens 3 Hoyois, Marc 3 Khan, Adeel A. 3 Pauli, Sabrina 3 Röndigs, Oliver 3 Sane, Sarang 3 Tikader, Soumi 3 Williams, Ben 2 Ananyevskiy, Alexey 2 Balwe, Chetan T. 2 Basu, Rabeya 2 Bethea, Candace 2 Bitan, Rony A. 2 Brazelton, Thomas 2 Chintala, Vineeth Reddy 2 Hogadi, Amit 2 Hopkins, Michael Jerome 2 Hutchinson, Kevin 2 Jacobson, Jeremy Allen 2 Jose, Selby 2 Kass, Jesse Leo 2 McKean, Stephen 2 Mishra, Bibekananda 2 Neshitov, Alexander 2 Oggier, Frédérique E. 2 Ormsby, Kyle M. 2 Rao, Dhvanita R. 2 Yang, Nanjun 1 Ambily, Ambattu Asokan 1 Arcila Maya, Niny 1 Banerjee, Sourjya 1 Berrick, A. Jon 1 Bhatwadekar, Srikant M. 1 Binda, Federico 1 Blanc, Jérémy 1 Bot, Anna 1 Chakraborty, Kuntal 1 Chattopadhyay, Pratyusha 1 Chenevier, Gaëtan 1 Chernousov, Vladimir I. 1 Choudhury, Utsav 1 Dasgupta, Nikhilesh 1 Dhorajia, Alpesh M. 1 Di Lorenzo, Andrea 1 Ducoat, Jérôme 1 Eberhardt, Jens Niklas 1 Ellis, Dondi 1 Elmanto, Elden 1 Galeotti, Mattia 1 Garge, Anuradha S. 1 Garibaldi, Skip 1 Garkusha, Grigory 1 Geisser, Thomas H. 1 Gille, Philippe 1 Gupta, Anjan Kumar 1 Gupta, Rahul 1 Hedén, Isac 1 Hesselholt, Lars 1 Hirsch, Christian 1 Huber-Klawitter, Annette 1 Karoubi, Max 1 Kelly, Shane P. 1 Kerz, Moritz C. 1 Kishimoto, Takashi 1 Köhl, Ralf 1 Kolderup, Håkon 1 Kolte, Sagar U. 1 Krishna, Amalendu 1 Kulkarni, Girish 1 Lavrenov, Andrei V. 1 Lerbet, Samuel 1 Lim, Enhui 1 Lorscheid, Oliver 1 Mantovani, Lorenzo 1 Martirosian, Arthur 1 Mirzaii, Behrooz 1 Nagel, Jan ...and 31 more Authors all top 5 Cited in 53 Serials 16 Journal of Algebra 16 Journal of Pure and Applied Algebra 12 Advances in Mathematics 9 Documenta Mathematica 6 Mathematische Zeitschrift 4 Inventiones Mathematicae 4 Manuscripta Mathematica 4 Geometry & Topology 4 Journal of Algebra and its Applications 4 Algebra & Number Theory 4 Forum of Mathematics, Sigma 4 Annals of \(K\)-Theory 3 Compositio Mathematica 3 Transactions of the American Mathematical Society 3 Journal of the Ramanujan Mathematical Society 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Journal of the Institute of Mathematics of Jussieu 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Journal de Théorie des Nombres de Bordeaux 2 Algebraic & Geometric Topology 2 Journal of Topology 2 Journal of \(K\)-Theory 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Sugaku Expositions 1 International Journal of Mathematics 1 Designs, Codes and Cryptography 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Transformation Groups 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Advances in Mathematics of Communications 1 Journal of Commutative Algebra 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 17 Fields 102 Algebraic geometry (14-XX) 88 \(K\)-theory (19-XX) 54 Commutative algebra (13-XX) 27 Algebraic topology (55-XX) 26 Number theory (11-XX) 18 Group theory and generalizations (20-XX) 10 Category theory; homological algebra (18-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year