Edit Profile (opens in new tab) Auel, Asher Natan Co-Author Distance Author ID: auel.asher Published as: Auel, Asher Homepage: https://math.dartmouth.edu/~auel/ External Links: MGP · Google Scholar · ResearchGate Documents Indexed: 22 Publications since 2011 1 Contribution as Editor Reviewing Activity: 1 Review Co-Authors: 26 Co-Authors with 18 Joint Publications 438 Co-Co-Authors all top 5 Co-Authors 5 single-authored 5 Böhning, Christian 4 Bernardara, Marcello 4 Graf von Bothmer, Hans-Christian 2 Bigazzi, Alessandro 2 Bolognesi, Michele 2 Garibaldi, Skip 2 Parimala, Raman 2 Pirutka, Alena 2 Várilly-Alvarado, Anthony 1 Addington, Nicolas M. 1 Ananyevskiy, Alexey 1 Antieau, Benjamin 1 Biesel, Owen 1 Brussel, Eric S. 1 Colliot-Thélène, Jean-Louis 1 First, Uriya A. 1 Hassett, Brendan 1 Ingalls, Colin 1 Krashen, Daniel 1 Lieblich, Max David 1 Suresh, Venapally 1 Viray, Bianca 1 Vishne, Uzi 1 Voight, John Michael 1 Williams, Ben 1 Zainoulline, Kirill all top 5 Serials 2 IMRN. International Mathematics Research Notices 2 Documenta Mathematica 1 American Mathematical Monthly 1 Advances in Mathematics 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Algebra 1 Proceedings of the London Mathematical Society. Third Series 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Journal of Algebraic Geometry 1 Mathematical Research Letters 1 Transformation Groups 1 Journal of the European Mathematical Society (JEMS) 1 Progress in Mathematics 1 Algebraic Geometry 1 European Journal of Mathematics all top 5 Fields 20 Algebraic geometry (14-XX) 7 Number theory (11-XX) 6 Associative rings and algebras (16-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 \(K\)-theory (19-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 157 times in 115 Documents Cited by ▼ Year ▼ Open problems on central simple algebras. Zbl 1230.16016Auel, Asher; Brussel, Eric; Garibaldi, Skip; Vishne, Uzi 27 2011 Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems. Zbl 1327.14078Auel, Asher; Bernardara, Marcello; Bolognesi, Michele 26 2014 Universal unramified cohomology of cubic fourfolds containing a plane. Zbl 1426.14005Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman 22 2017 Cubic fourfolds containing a plane and a quintic del Pezzo surface. Zbl 1317.14032Auel, Asher; Bernardara, Marcello; Bolognesi, Michele; Várilly-Alvarado, Anthony 13 2014 Quadric surface bundles over surfaces. Zbl 1345.14046Auel, Asher; Parimala, R.; Suresh, V. 13 2015 Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields. Zbl 1435.14015Auel, Asher; Bernardara, Marcello 12 2018 Stable rationality of quadric and cubic surface bundle fourfolds. Zbl 1444.14029Auel, Asher; Böhning, Christian; Pirutka, Alena 8 2018 Cycles, derived categories, and rationality. Zbl 1403.14022Auel, Asher; Bernardara, Marcello 5 2017 Remarks on the Milnor conjecture over schemes. Zbl 1321.19001Auel, Asher 4 2012 Surjectivity of the total Clifford invariant and Brauer dimension. Zbl 1391.11071Auel, Asher 4 2015 Azumaya algebras without involution. Zbl 1441.14072Auel, Asher; First, Uriya A.; Williams, Ben 3 2019 Conic bundle fourfolds with nontrivial unramified Brauer group. Zbl 1440.14108Auel, Asher; Böhning, Christian; von Bothmer, Hans-Christian Graf; Pirutka, Alena 3 2020 The transcendental lattice of the sextic Fermat surface. Zbl 1331.14013Auel, Asher; Böhning, Christian; Graf von Bothmer, Hans-Christian 3 2013 Universal triviality of the Chow group of 0-cycles and the Brauer group. Zbl 1486.14024Auel, Asher; Bigazzi, Alessandro; Böhning, Christian; Graf von Bothmer, Hans-Christian 3 2021 Exceptional collections of line bundles on projective homogeneous varieties. Zbl 1295.14017Ananyevskiy, Alexey; Auel, Asher; Garibaldi, Skip; Zainoulline, Kirill 3 2013 Brill-Noether special cubic fourfolds of discriminant \(14\). Zbl 1489.14052Auel, Asher 2 2022 Unramified Brauer groups of conic bundle threefolds in characteristic two. Zbl 1484.14039Auel, Asher; Bigazzi, Alessandro; Böhning, Christian; Graf von Bothmer, Hans-Christian 2 2021 Period-index bounds for arithmetic threefolds. Zbl 1436.14040Antieau, Benjamin; Auel, Asher; Ingalls, Colin; Krashen, Daniel; Lieblich, Max 1 2019 Some non-special cubic fourfolds. Zbl 1404.14015Addington, Nicolas; Auel, Asher 1 2018 Vector bundles of rank 4 and \(A_{3}=D_{3}\). Zbl 1311.14043Auel, Asher 1 2013 Brauer groups and obstruction problems. Moduli spaces and arithmetic. Zbl 1368.14003 1 2017 Brill-Noether special cubic fourfolds of discriminant \(14\). Zbl 1489.14052Auel, Asher 2 2022 Universal triviality of the Chow group of 0-cycles and the Brauer group. Zbl 1486.14024Auel, Asher; Bigazzi, Alessandro; Böhning, Christian; Graf von Bothmer, Hans-Christian 3 2021 Unramified Brauer groups of conic bundle threefolds in characteristic two. Zbl 1484.14039Auel, Asher; Bigazzi, Alessandro; Böhning, Christian; Graf von Bothmer, Hans-Christian 2 2021 Conic bundle fourfolds with nontrivial unramified Brauer group. Zbl 1440.14108Auel, Asher; Böhning, Christian; von Bothmer, Hans-Christian Graf; Pirutka, Alena 3 2020 Azumaya algebras without involution. Zbl 1441.14072Auel, Asher; First, Uriya A.; Williams, Ben 3 2019 Period-index bounds for arithmetic threefolds. Zbl 1436.14040Antieau, Benjamin; Auel, Asher; Ingalls, Colin; Krashen, Daniel; Lieblich, Max 1 2019 Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields. Zbl 1435.14015Auel, Asher; Bernardara, Marcello 12 2018 Stable rationality of quadric and cubic surface bundle fourfolds. Zbl 1444.14029Auel, Asher; Böhning, Christian; Pirutka, Alena 8 2018 Some non-special cubic fourfolds. Zbl 1404.14015Addington, Nicolas; Auel, Asher 1 2018 Universal unramified cohomology of cubic fourfolds containing a plane. Zbl 1426.14005Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman 22 2017 Cycles, derived categories, and rationality. Zbl 1403.14022Auel, Asher; Bernardara, Marcello 5 2017 Brauer groups and obstruction problems. Moduli spaces and arithmetic. Zbl 1368.14003 1 2017 Quadric surface bundles over surfaces. Zbl 1345.14046Auel, Asher; Parimala, R.; Suresh, V. 13 2015 Surjectivity of the total Clifford invariant and Brauer dimension. Zbl 1391.11071Auel, Asher 4 2015 Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems. Zbl 1327.14078Auel, Asher; Bernardara, Marcello; Bolognesi, Michele 26 2014 Cubic fourfolds containing a plane and a quintic del Pezzo surface. Zbl 1317.14032Auel, Asher; Bernardara, Marcello; Bolognesi, Michele; Várilly-Alvarado, Anthony 13 2014 The transcendental lattice of the sextic Fermat surface. Zbl 1331.14013Auel, Asher; Böhning, Christian; Graf von Bothmer, Hans-Christian 3 2013 Exceptional collections of line bundles on projective homogeneous varieties. Zbl 1295.14017Ananyevskiy, Alexey; Auel, Asher; Garibaldi, Skip; Zainoulline, Kirill 3 2013 Vector bundles of rank 4 and \(A_{3}=D_{3}\). Zbl 1311.14043Auel, Asher 1 2013 Remarks on the Milnor conjecture over schemes. Zbl 1321.19001Auel, Asher 4 2012 Open problems on central simple algebras. Zbl 1230.16016Auel, Asher; Brussel, Eric; Garibaldi, Skip; Vishne, Uzi 27 2011 all cited Publications top 5 cited Publications all top 5 Cited by 132 Authors 9 Auel, Asher Natan 5 Bernardara, Marcello 5 Chipchakov, Ivan D. 5 Tabuada, Gonçalo 4 Antieau, Benjamin 4 Ballard, Matthew Robert 4 First, Uriya A. 4 Voisin, Claire 3 Addington, Nicolas M. 3 Böhning, Christian 3 Bolognesi, Michele 3 Colliot-Thélène, Jean-Louis 3 Garibaldi, Skip 3 Kuznetsov, Aleksandr Gennad’evich 3 Schreieder, Stefan 3 Tschinkel, Yuri 3 Williams, Ben 2 Aravire, Roberto 2 Brussel, Eric S. 2 Deliu, Dragos 2 Duncan, Alexander 2 Favero, David 2 Graf von Bothmer, Hans-Christian 2 Hassett, Brendan 2 Jacob, Bill 2 Katzarkov, Ludmil 2 König, Joachim 2 Lieblich, Max David 2 Mboro, René 2 McFaddin, Patrick K. 2 Neftin, Danny 2 Novaković, Saša 2 O’Ryan, Manuel 2 Parimala, Raman 2 Perry, Alexander R. 2 Pertusi, Laura 2 Pirutka, Alena 2 Pukhlikov, Aleksandr Valentinovich 2 Scavia, Federico 2 Stellari, Paolo 2 Suresh, Venapally 2 Tengan, Eduardo 2 Thomas, Richard Paul 2 Totaro, Burt 2 Yang, Song 2 Yu, Xun 1 Aljadeff, Eli 1 Astier, Vincent 1 Attanasio, Mateo 1 Banerjee, Kalyan 1 Bayer-Fluckiger, Eva 1 Benoist, Olivier 1 Bigazzi, Alessandro 1 Binda, Federico 1 Bini, Gilberto 1 Biswas, Indranil 1 Bitan, Rony A. 1 Black, Jodi 1 Bülles, Tim-Henrik 1 Calabrese, John R. 1 Choi, Caroline 1 Diaz, Humberto A. 1 Elmanto, Elden 1 Faenzi, Daniele 1 Florence, Mathieu 1 Frei, Sarah 1 Funk, Jeanne M. 1 Galluzzi, Federica 1 Gómez, Tomás L. 1 Guralnick, Robert Michael 1 Gvirtz, Damián 1 Hoffmann, Detlev W. 1 Honigs, Katrina 1 Hoobler, Raymond Taylor 1 Ingalls, Colin 1 Jiang, Qingyuan 1 Kai, Wataru 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Kapustka, Grzegorz 1 Kapustka, Michał 1 Karasik, Yakov 1 Krashen, Daniel 1 Kresch, Andrew 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Lairez, Pierre 1 Laza, Radu 1 Lee, Jia Choon 1 Lee, Kyoung-Seog 1 Leung, Naichung Conan 1 Levchenko, Denis 1 Lötscher, Roland Oskar 1 Ma, Qixiao 1 Macrì, Emanuele 1 Mandelshtam, Andrei 1 Marcolli, Matilde 1 Marquand, Lisa 1 Massarenti, Alex 1 Matzri, Eliyah 1 Matzri, Eliyahu 1 Meier, Lennart ...and 32 more Authors all top 5 Cited in 55 Serials 6 Advances in Mathematics 5 Journal of Pure and Applied Algebra 5 Mathematische Zeitschrift 5 Forum of Mathematics, Sigma 4 Duke Mathematical Journal 4 Journal of Algebra 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Documenta Mathematica 4 Journal of the European Mathematical Society (JEMS) 3 Inventiones Mathematicae 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Algebra & Number Theory 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Compositio Mathematica 2 Geometriae Dedicata 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Selecta Mathematica. New Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 European Journal of Mathematics 1 Linear and Multilinear Algebra 1 Russian Mathematical Surveys 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Publications Mathématiques 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Vestnik St. Petersburg University. Mathematics 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Turkish Journal of Mathematics 1 Izvestiya: Mathematics 1 Geometry & Topology 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Electronic Research Announcements in Mathematical Sciences 1 Journal of Commutative Algebra 1 Afrika Matematika 1 Research in the Mathematical Sciences 1 Annals of \(K\)-Theory 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 13 Fields 93 Algebraic geometry (14-XX) 27 Number theory (11-XX) 23 Associative rings and algebras (16-XX) 13 Field theory and polynomials (12-XX) 9 Category theory; homological algebra (18-XX) 7 Group theory and generalizations (20-XX) 6 Commutative algebra (13-XX) 5 Nonassociative rings and algebras (17-XX) 5 \(K\)-theory (19-XX) 4 Algebraic topology (55-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) Citations by Year