## Asok, Aravind

Compute Distance To:
 Author ID: asok.aravind Published as: Asok, Aravind; Asok, A. External Links: MGP
 Documents Indexed: 34 Publications since 2006 Co-Authors: 14 Co-Authors with 26 Joint Publications 190 Co-Co-Authors
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### Co-Authors

 8 single-authored 11 Fasel, Jean 5 Doran, Brent 5 Wendt, Matthias 4 Hoyois, Marc 2 Williams, Ben 1 Déglise, Frédéric 1 Hasemeyer, Christian 1 Kebekus, Stefan 1 Kirwan, Frances Clare 1 Morel, Fabien 1 Nagel, Jan 1 Østvær, Paul Arne 1 Parson, James A. 1 Wickelgren, Kirsten G.
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### Serials

 3 Duke Mathematical Journal 3 Journal of Topology 2 Advances in Mathematics 2 Journal of Pure and Applied Algebra 2 Geometry & Topology 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Journal of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Research Letters 1 Documenta Mathematica 1 Journal of the European Mathematical Society (JEMS) 1 Homology, Homotopy and Applications 1 The Quarterly Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 IMRP. International Mathematics Research Papers 1 Pure and Applied Mathematics Quarterly 1 Algebra & Number Theory 1 Electronic Research Announcements in Mathematical Sciences 1 Forum of Mathematics, Sigma 1 Algebraic Geometry
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### Fields

 32 Algebraic geometry (14-XX) 17 Algebraic topology (55-XX) 14 $$K$$-theory (19-XX) 6 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 3 Group theory and generalizations (20-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 204 times in 103 Documents Cited by Year
Affine representability results in $$\mathbb{A}^1$$-homotopy theory. I: Vector bundles. Zbl 1401.14118
Asok, Aravind; Hoyois, Marc; Wendt, Matthias
2017
Splitting vector bundles outside the stable range and $$\mathbb A^1$$ – homotopy sheaves of punctured affine spaces. Zbl 1329.14045
Asok, Aravind; Fasel, Jean
2015
Algebraic vector bundles on spheres. Zbl 1326.14098
Asok, Aravind; Fasel, Jean
2014
Smooth varieties up to $$\mathbb A^1$$-homotopy and algebraic $$h$$-cobordisms. Zbl 1255.14018
Asok, Aravind; Morel, Fabien
2011
Affine representability results in $$\mathbb A^1$$-homotopy theory. II: Principal bundles and homogeneous spaces. Zbl 1400.14061
Asok, Aravind; Hoyois, Marc; Wendt, Matthias
2018
Comparing Euler classes. Zbl 1372.14013
Asok, A.; Fasel, J.
2016
A cohomological classification of vector bundles on smooth affine threefolds. Zbl 1314.14044
Asok, Aravind; Fasel, Jean
2014
An explicit $$KO$$-degree map and applications. Zbl 1400.14060
Asok, Aravind; Fasel, Jean
2017
Secondary characteristic classes and the Euler class. Zbl 1349.14078
Asok, Aravind; Fasel, Jean
2015
Smooth models of motivic spheres and the clutching construction. Zbl 1405.14050
Asok, Aravind; Doran, Brent; Fasel, Jean
2017
The simplicial suspension sequence in $$\mathbb A^1$$-homotopy. Zbl 1365.14027
Asok, Aravind; Wickelgren, Kirsten; Williams, Ben
2017
On unipotent quotients and some $$\mathbb A^1$$-contractible smooth schemes. Zbl 1157.14032
Asok, Aravind; Doran, Brent
2007
Rationality problems and conjectures of Milnor and Bloch-Kato. Zbl 1279.14063
Asok, Aravind
2013
$$\mathbb A^1$$-homotopy groups, excision, and solvable quotients. Zbl 1190.14018
Asok, Aravind; Doran, Brent
2009
Vector bundles on contractible smooth schemes. Zbl 1167.14025
Asok, Aravind; Doran, Brent
2008
Stable $$\mathbb A^1$$-homotopy and $$R$$-equivalence. Zbl 1244.14016
Asok, Aravind; Haesemeyer, Christian
2011
Yang-Mills theory and Tamagawa numbers: The fascination of unexpected links in mathematics. Zbl 1166.14024
Asok, Aravind; Doran, Brent; Kirwan, Frances
2008
Birational invariants and $$\mathbb{A}^1$$-connectedness. Zbl 1328.14036
Asok, Aravind
2013
Splitting vector bundles and $$\mathbb A^{1}$$-fundamental groups of higher-dimensional varieties. Zbl 1300.14024
Asok, Aravind
2013
Affine representability results in $$\mathbb A^1$$-homotopy theory. III: Finite fields and complements. Zbl 07262981
Asok, Aravind; Hoyois, Marc; Wendt, Matthias
2020
Motives of some acyclic varieties. Zbl 1244.14015
Asok, Aravind
2011
Obstructions to algebraizing topological vector bundles. Zbl 07040512
Asok, A.; Fasel, J.; Hopkins, M. J.
2019
Generically split octonion algebras and $$\mathbb{A}^1$$-homotopy theory. Zbl 1430.14051
Asok, Aravind; Hoyois, Marc; Wendt, Matthias
2019
Equivariant vector bundles on certain affine $$G$$-varieties. Zbl 1110.14042
Asok, Aravind
2006
About the cover: the mathematical imagery of Lun-Yi Tsai. Zbl 1197.00038
Asok, Aravind
2010
Motivic spheres and the image of the Suslin-Hurewicz map. Zbl 1444.19004
Asok, Aravind; Fasel, Jean; Williams, Ben
2020
Stably $$\mathbb{A}^1$$-connected varieties and universal $$\mathrm{CH}_{0}$$. Zbl 1423.14148
Asok, Aravind
2017
The homotopy Leray spectral sequence. Zbl 1440.14122
Asok, Aravind; Déglise, Frédéric; Nagel, Jan
2020
Affine representability results in $$\mathbb A^1$$-homotopy theory. III: Finite fields and complements. Zbl 07262981
Asok, Aravind; Hoyois, Marc; Wendt, Matthias
2020
Motivic spheres and the image of the Suslin-Hurewicz map. Zbl 1444.19004
Asok, Aravind; Fasel, Jean; Williams, Ben
2020
The homotopy Leray spectral sequence. Zbl 1440.14122
Asok, Aravind; Déglise, Frédéric; Nagel, Jan
2020
Obstructions to algebraizing topological vector bundles. Zbl 07040512
Asok, A.; Fasel, J.; Hopkins, M. J.
2019
Generically split octonion algebras and $$\mathbb{A}^1$$-homotopy theory. Zbl 1430.14051
Asok, Aravind; Hoyois, Marc; Wendt, Matthias
2019
Affine representability results in $$\mathbb A^1$$-homotopy theory. II: Principal bundles and homogeneous spaces. Zbl 1400.14061
Asok, Aravind; Hoyois, Marc; Wendt, Matthias
2018
Affine representability results in $$\mathbb{A}^1$$-homotopy theory. I: Vector bundles. Zbl 1401.14118
Asok, Aravind; Hoyois, Marc; Wendt, Matthias
2017
An explicit $$KO$$-degree map and applications. Zbl 1400.14060
Asok, Aravind; Fasel, Jean
2017
Smooth models of motivic spheres and the clutching construction. Zbl 1405.14050
Asok, Aravind; Doran, Brent; Fasel, Jean
2017
The simplicial suspension sequence in $$\mathbb A^1$$-homotopy. Zbl 1365.14027
Asok, Aravind; Wickelgren, Kirsten; Williams, Ben
2017
Stably $$\mathbb{A}^1$$-connected varieties and universal $$\mathrm{CH}_{0}$$. Zbl 1423.14148
Asok, Aravind
2017
Comparing Euler classes. Zbl 1372.14013
Asok, A.; Fasel, J.
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
2015
Secondary characteristic classes and the Euler class. Zbl 1349.14078
Asok, Aravind; Fasel, Jean
2015
Algebraic vector bundles on spheres. Zbl 1326.14098
Asok, Aravind; Fasel, Jean
2014
A cohomological classification of vector bundles on smooth affine threefolds. Zbl 1314.14044
Asok, Aravind; Fasel, Jean
2014
Rationality problems and conjectures of Milnor and Bloch-Kato. Zbl 1279.14063
Asok, Aravind
2013
Birational invariants and $$\mathbb{A}^1$$-connectedness. Zbl 1328.14036
Asok, Aravind
2013
Splitting vector bundles and $$\mathbb A^{1}$$-fundamental groups of higher-dimensional varieties. Zbl 1300.14024
Asok, Aravind
2013
Smooth varieties up to $$\mathbb A^1$$-homotopy and algebraic $$h$$-cobordisms. Zbl 1255.14018
Asok, Aravind; Morel, Fabien
2011
Stable $$\mathbb A^1$$-homotopy and $$R$$-equivalence. Zbl 1244.14016
Asok, Aravind; Haesemeyer, Christian
2011
Motives of some acyclic varieties. Zbl 1244.14015
Asok, Aravind
2011
About the cover: the mathematical imagery of Lun-Yi Tsai. Zbl 1197.00038
Asok, Aravind
2010
$$\mathbb A^1$$-homotopy groups, excision, and solvable quotients. Zbl 1190.14018
Asok, Aravind; Doran, Brent
2009
Vector bundles on contractible smooth schemes. Zbl 1167.14025
Asok, Aravind; Doran, Brent
2008
Yang-Mills theory and Tamagawa numbers: The fascination of unexpected links in mathematics. Zbl 1166.14024
Asok, Aravind; Doran, Brent; Kirwan, Frances
2008
On unipotent quotients and some $$\mathbb A^1$$-contractible smooth schemes. Zbl 1157.14032
Asok, Aravind; Doran, Brent
2007
Equivariant vector bundles on certain affine $$G$$-varieties. Zbl 1110.14042
Asok, Aravind
2006
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### Cited by 109 Authors

 16 Asok, Aravind 8 Fasel, Jean 7 Østvær, Paul Arne 7 Wickelgren, Kirsten G. 6 Wendt, Matthias 4 Hoyois, Marc 4 Levine, Marc Noel 3 Bachmann, Tom 3 Doran, Brent 3 Hoshi, Akinari 3 Rao, Ravi A. 3 Schlichting, Marco 3 Stavrova, Anastasia K. 3 Williams, Ben 2 Balwe, Chetan T. 2 Česnavičius, Kęstutis 2 Chintala, Vineeth Reddy 2 Đào Phương Bắc 2 Das, Mrinal Kanti 2 Hutchinson, Kevin 2 Jose, Selby 2 Kang, Ming-Chang 2 Kass, Jesse Leo 2 Kelly, Shane P. 2 Mandal, Satya 2 Mishra, Bibekananda 2 Nguyễn Quôc Thăng 2 Ormsby, Kyle M. 2 Pauli, Sabrina 2 Röndigs, Oliver 2 Sawant, Anand 2 Schreieder, Stefan 2 Tamme, Georg 2 Tikader, Soumi 2 Zinna, Md. Ali 1 Berrick, A. Jon 1 Bethea, Candace 1 Bhatt, Bhargav 1 Blanc, Anthony 1 Bondarko, Mikhail Vladimirovich 1 Brazelton, Thomas 1 Bunke, Ulrich 1 Choudhury, Utsav 1 Chu, Huah 1 Dan-Cohen, Ishai 1 Déglise, Frédéric 1 Devalapurkar, Sanath 1 Donaldson, Simon Kirwan 1 Dubouloz, Adrien 1 Ellis, Dondi 1 Elmanto, Elden 1 Feld, Niels 1 Feller, Peter 1 Gepner, David 1 Gille, Stefan G. 1 Guletskiǐ, Vladimir 1 Gupta, Neena 1 Haine, Peter 1 Hasemeyer, Christian 1 Hausel, Tamás 1 Hitchin, Nigel James 1 Hogadi, Amit 1 Hornbostel, Jens 1 Hu, Shou-Jen 1 Iwasa, Ryomei 1 Karoubi, Max 1 Khan, Adeel A. 1 Kolte, Sagar U. 1 Kong, Hana Jia 1 Krauskopf, Bernd 1 Land, Markus 1 Lavrenov, Andrei V. 1 Mathew, Akhil 1 McKean, Stephen 1 Mirzaii, Behrooz 1 Mokari, Fatemeh Y. 1 Morel, Fabien 1 Nagel, Jan 1 Nguyen, Le Dang Thi 1 Pál, Ambrus 1 Petersson, Holger P. 1 Quick, Gereon 1 Rao, Dhvanita R. 1 Raptis, George 1 Robalo, Marco 1 Scully, Stephen 1 Sharma, Sampat 1 Sinchuk, Sergeĭ Sergeevich 1 Słowiński, Piotr 1 Spitzweck, Markus 1 Srinivasan, Padmavathi 1 van Santen, Immanuel 1 Strunk, Florian 1 Syed, Tariq 1 Tanania, Fabio 1 Toën, Bertrand 1 Tripathi, Girja Shanker 1 Vezzosi, Gabriele 1 Wang, Guozhen 1 Wieczorek, Sebastian M. ...and 9 more Authors
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### Cited in 43 Serials

 12 Advances in Mathematics 9 Documenta Mathematica 6 Journal of Algebra 4 Geometry & Topology 4 Annals of Mathematics. Second Series 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 2 Acta Mathematica Vietnamica 2 Mathematische Zeitschrift 2 Journal of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 Journal of the European Mathematical Society (JEMS) 2 Forum of Mathematics, Sigma 2 Annals of $$K$$-Theory 1 Annales de l’Institut Fourier 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Sugaku Expositions 1 International Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Transformation Groups 1 Algebraic & Geometric Topology 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 Journal of Homotopy and Related Structures 1 Algebra & Number Theory 1 Journal of Topology 1 Journal of $$K$$-Theory 1 Forum of Mathematics, Pi 1 Research in the Mathematical Sciences 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques
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### Cited in 19 Fields

 83 Algebraic geometry (14-XX) 46 $$K$$-theory (19-XX) 36 Algebraic topology (55-XX) 19 Commutative algebra (13-XX) 17 Group theory and generalizations (20-XX) 15 Number theory (11-XX) 10 Category theory; homological algebra (18-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)