Edit Profile Bondal, Alexey I. Compute Distance To: Compute Author ID: bondal.alexey-i Published as: Bondal, A.; Bondal, A. I.; Bondal, Alexey; Bondal, Alexey I. External Links: ORCID Documents Indexed: 22 Publications since 1986 all top 5 Co-Authors 6 single-authored 5 Kapranov, Mikhail M. 2 Orlov, Dmitri O. 2 Zhdanovskiy, Ilya 1 Bodzenta, Agnieszka 1 Gorodentsev, Alexey L. 1 Kostrikin, Alekseĭ Ivanovich 1 Larsen, Michael Jeffrey 1 Lunts, Valery A. 1 Polishchuk, Alexander Evgen’evich 1 Schechtman, Vadim 1 Tiep Pham Huu 1 Van den Bergh, Michel 1 Zhdanovskii, I. Yu. all top 5 Serials 2 Mathematics of the USSR. Izvestiya 2 Mathematics of the USSR, Sbornik 2 Izvestiya: Mathematics 1 Moscow University Mathematics Bulletin 1 Advances in Mathematics 1 Compositio Mathematica 1 IMRN. International Mathematics Research Notices 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Moscow Mathematical Journal 1 European Journal of Mathematics all top 5 Fields 16 Category theory; homological algebra (18-XX) 15 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 2 Number theory (11-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 21 Publications have been cited 810 times in 585 Documents Cited by ▼ Year ▼ Generators and representability of functors in commutative and noncommutative geometry. Zbl 1135.18302Bondal, A.; van den Bergh, M. 162 2003 Representable functors, Serre functors, and mutations. Zbl 0703.14011Bondal, A. I.; Kapranov, M. M. 139 1990 Reconstruction of a variety from the derived category and groups of autoequivalences. Zbl 0994.18007Bondal, Alexey; Orlov, Dmitri 86 2001 Representation of associative algebras and coherent sheaves. Zbl 0692.18002Bondal, A. I. 86 1990 Enhanced triangulated categories. Zbl 0729.18008Bondal, A. I.; Kapranov, M. M. 73 1991 Derived categories of coherent sheaves. Zbl 0996.18007Bondal, A.; Orlov, D. 64 2002 Equipped triangulated categories. Zbl 0719.18005Bondal, A. I.; Kapranov, M. M. 44 1990 Homological properties of associative algebras: The method of helices. Zbl 0847.16010Bondal, A. I.; Polishchuk, A. E. 43 1993 Grothendieck ring of pretriangulated categories. Zbl 1079.18008Bondal, Alexey I.; Larsen, Michael; Lunts, Valery A. 39 2004 Helices, representations of quivers and Koszul algebras. Zbl 0742.14010Bondal, A. I. 25 1990 A symplectic groupoid of triangular bilinear forms and the braid group. Zbl 1084.58502Bondal, A. I. 11 2004 Homogeneous bundles. Zbl 0742.14011Bondal, A. I.; Kapranov, M. M. 9 1990 Perverse schobers and birational geometry. Zbl 1436.14037Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim 6 2018 Coherence of relatively quasi-free algebras. Zbl 1333.18020Bondal, Alexey; Zhdanovskiy, Ilya 5 2015 Symplectic groupoids related to Poisson-Lie groups. Zbl 1181.17010Bondal, A. I. 5 2004 Invariant lattices, the Leech lattice and its even unimodular analogues in the Lie algebras \(A_{p-1}\). Zbl 0634.10028Bondal, A. I.; Kostrikin, A. I.; Pham Huu Tiep 5 1987 Orthogonal pairs and mutually unbiased bases. Zbl 1342.81063Bondal, A.; Zhdanovskiĭ, I. 3 2016 Operations on \(t\)-structures and perverse coherent sheaves. Zbl 1292.14014Bondal, A. I. 2 2013 Symplectic geometry of unbiasedness and critical points of a potential. Zbl 1453.53074Bondal, Alexey; Zhdanovskiy, Ilya 1 2019 Canonical tilting relative generators. Zbl 1423.14116Bodzenta, Agnieszka; Bondal, Alexey 1 2018 Invariant lattices in Lie algebras of type \(A_{p-1}\). Zbl 0599.17006Bondal, A. I. 1 1986 Symplectic geometry of unbiasedness and critical points of a potential. Zbl 1453.53074Bondal, Alexey; Zhdanovskiy, Ilya 1 2019 Perverse schobers and birational geometry. Zbl 1436.14037Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim 6 2018 Canonical tilting relative generators. Zbl 1423.14116Bodzenta, Agnieszka; Bondal, Alexey 1 2018 Orthogonal pairs and mutually unbiased bases. Zbl 1342.81063Bondal, A.; Zhdanovskiĭ, I. 3 2016 Coherence of relatively quasi-free algebras. Zbl 1333.18020Bondal, Alexey; Zhdanovskiy, Ilya 5 2015 Operations on \(t\)-structures and perverse coherent sheaves. Zbl 1292.14014Bondal, A. I. 2 2013 Grothendieck ring of pretriangulated categories. Zbl 1079.18008Bondal, Alexey I.; Larsen, Michael; Lunts, Valery A. 39 2004 A symplectic groupoid of triangular bilinear forms and the braid group. Zbl 1084.58502Bondal, A. I. 11 2004 Symplectic groupoids related to Poisson-Lie groups. Zbl 1181.17010Bondal, A. I. 5 2004 Generators and representability of functors in commutative and noncommutative geometry. Zbl 1135.18302Bondal, A.; van den Bergh, M. 162 2003 Derived categories of coherent sheaves. Zbl 0996.18007Bondal, A.; Orlov, D. 64 2002 Reconstruction of a variety from the derived category and groups of autoequivalences. Zbl 0994.18007Bondal, Alexey; Orlov, Dmitri 86 2001 Homological properties of associative algebras: The method of helices. Zbl 0847.16010Bondal, A. I.; Polishchuk, A. E. 43 1993 Enhanced triangulated categories. Zbl 0729.18008Bondal, A. I.; Kapranov, M. M. 73 1991 Representable functors, Serre functors, and mutations. Zbl 0703.14011Bondal, A. I.; Kapranov, M. M. 139 1990 Representation of associative algebras and coherent sheaves. Zbl 0692.18002Bondal, A. I. 86 1990 Equipped triangulated categories. Zbl 0719.18005Bondal, A. I.; Kapranov, M. M. 44 1990 Helices, representations of quivers and Koszul algebras. Zbl 0742.14010Bondal, A. I. 25 1990 Homogeneous bundles. Zbl 0742.14011Bondal, A. I.; Kapranov, M. M. 9 1990 Invariant lattices, the Leech lattice and its even unimodular analogues in the Lie algebras \(A_{p-1}\). Zbl 0634.10028Bondal, A. I.; Kostrikin, A. I.; Pham Huu Tiep 5 1987 Invariant lattices in Lie algebras of type \(A_{p-1}\). Zbl 0599.17006Bondal, A. I. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 565 Authors 20 Katzarkov, Ludmil 18 Van den Bergh, Michel 17 Tabuada, Gonçalo 15 Orlov, Dmitri O. 12 Kuznetsov, Aleksandr Gennad’evich 11 Ballard, Matthew Robert 11 Lunts, Valery A. 11 Stellari, Paolo 9 Favero, David 9 Polishchuk, Alexander Evgen’evich 7 Bernardara, Marcello 7 Canonaco, Alberto 7 Chen, Xiaowu 7 Costa, Laura 7 Lowen, Wendy 7 Toën, Bertrand 6 Bondal, Alexey I. 6 Bridgeland, Tom 6 Iyama, Osamu 6 Kapranov, Mikhail M. 6 Krause, Henning 6 Mirò-Roig, Rosa Maria 6 Neeman, Amnon 6 Šťovíček, Jan 6 Ueda, Kazushi 6 van Roosmalen, Adam-Christiaan 5 Antieau, Benjamin 5 Bezrukavnikov, Roman 5 Chekhov, Leonid O. 5 Efimov, Alexander I. 5 Macrì, Emanuele 5 Schnürer, Olaf M. 5 Seidel, Paul 5 Sibilla, Nicolò 5 Sosna, Pawel 4 Buchweitz, Ragnar-Olaf 4 de la Peña, José Antonio 4 Faenzi, Daniele 4 Halpern-Leistner, Daniel 4 Harder, Andrew 4 Huybrechts, Daniel 4 Iyengar, Srikanth B. 4 Kawamata, Yujiro 4 Kerr, Gabriel 4 López Martín, Ana Cristina 4 Mazzocco, Marta 4 Minamoto, Hiroyuki 4 Mori, Izuru 4 Oppermann, Steffen 4 Sancho de Salas, Fernando 4 Scherotzke, Sarah 4 Schmidt, Benjamin 4 Shinder, Evgeny 4 Takahashi, Ryo 4 Walcher, Johannes 4 Zhdanovskii, I. Yu. 3 Abdukhalikov, Kanat S. 3 Araya, Tokuji 3 Beligiannis, Apostolos 3 Belmans, Pieter 3 Bodzenta, Agnieszka 3 Bolognesi, Michele 3 Chan, Daniel 3 De Naeghel, Koen 3 Deliu, Dragos 3 Diemer, Colin 3 Donovan, Will 3 Galkin, Sergeĭ 3 Hille, Lutz 3 Hori, Kentaro 3 Hosono, Shinobu 3 Kajiura, Hiroshige 3 Keller, Bernhard 3 Lipshitz, Robert 3 Maciocia, Antony 3 Meachan, Ciaran 3 Nadler, David 3 Oguiso, Keiji 3 Ozsváth, Peter Steven 3 Pantev, Tony G. 3 Perling, Markus 3 Perry, Alexander R. 3 Ploog, David 3 Raedschelders, Theo 3 Rizzardo, Alice 3 Rubei, Elena 3 Samokhin, Alexander B. 3 Schechtman, Vadim 3 Stafford, J. Toby 3 Takahashi, Atsushi 3 Thurston, Dylan Paul 3 Yang, Dong 3 Zhang, James J. 3 Zhang, Pu 3 Zhu, Bin 2 Achar, Pramod N. 2 Addington, Nicolas M. 2 Alonso Tarrío, Leovigildo M. 2 Anno, Rina 2 Asadollahi, Javad J. ...and 465 more Authors all top 5 Cited in 107 Serials 85 Advances in Mathematics 54 Journal of Algebra 22 Transactions of the American Mathematical Society 21 Mathematische Zeitschrift 18 Selecta Mathematica. New Series 17 Journal of Pure and Applied Algebra 15 Compositio Mathematica 14 Duke Mathematical Journal 14 Journal of Noncommutative Geometry 13 Proceedings of the American Mathematical Society 12 Communications in Algebra 12 Journal of Geometry and Physics 12 Algebras and Representation Theory 11 Inventiones Mathematicae 11 Mathematische Annalen 10 Communications in Mathematical Physics 10 Journal of Mathematical Sciences (New York) 10 Journal of the European Mathematical Society (JEMS) 9 Journal of Algebraic Geometry 8 European Journal of Mathematics 7 Journal of the American Mathematical Society 7 Geometry & Topology 7 Journal of High Energy Physics 6 Annales de l’Institut Fourier 6 Journal für die Reine und Angewandte Mathematik 6 Applied Categorical Structures 5 Journal of Mathematical Physics 5 Russian Mathematical Surveys 5 Bulletin of the London Mathematical Society 5 Documenta Mathematica 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Publications Mathématiques 4 Manuscripta Mathematica 4 Nagoya Mathematical Journal 4 Izvestiya: Mathematics 3 Nuclear Physics. B 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Annals of Mathematics. Second Series 3 Central European Journal of Mathematics 3 Journal of Topology 2 Letters in Mathematical Physics 2 Geometriae Dedicata 2 Journal of the London Mathematical Society. Second Series 2 Michigan Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Topology and its Applications 2 St. Petersburg Mathematical Journal 2 Acta Mathematica Sinica. English Series 2 Proceedings of the Steklov Institute of Mathematics 2 Science China. Mathematics 2 Kyoto Journal of Mathematics 2 Annals of \(K\)-Theory 2 Annales Henri Lebesgue 1 International Journal of Modern Physics A 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Le Matematiche 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal de Théorie des Nombres de Bordeaux 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 Theory and Applications of Categories 1 Sbornik: Mathematics 1 Transformation Groups 1 Representation Theory 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Lobachevskii Journal of Mathematics 1 Advances in Geometry 1 Algebraic & Geometric Topology 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Algebra & Number Theory 1 Journal of \(K\)-Theory ...and 7 more Serials all top 5 Cited in 32 Fields 381 Algebraic geometry (14-XX) 308 Category theory; homological algebra (18-XX) 181 Associative rings and algebras (16-XX) 59 Commutative algebra (13-XX) 47 Differential geometry (53-XX) 36 Quantum theory (81-XX) 31 \(K\)-theory (19-XX) 25 Group theory and generalizations (20-XX) 25 Algebraic topology (55-XX) 24 Nonassociative rings and algebras (17-XX) 20 Several complex variables and analytic spaces (32-XX) 17 Manifolds and cell complexes (57-XX) 11 Number theory (11-XX) 9 Global analysis, analysis on manifolds (58-XX) 5 Combinatorics (05-XX) 5 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Relativity and gravitational theory (83-XX) 4 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 3 Topological groups, Lie groups (22-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) Citations by Year