Edit Profile (opens in new tab) Burban, Igor Co-Author Distance Author ID: burban.igor Published as: Burban, Igor; Burban, I. I.; Burban, I. more...less Homepage: https://math.uni-paderborn.de/ag/arbeitsgruppe-algebra/ External Links: MGP Documents Indexed: 45 Publications since 1998, including 2 Books and 5 Additional arXiv Preprints Co-Authors: 23 Co-Authors with 41 Joint Publications 502 Co-Co-Authors all top 5 Co-Authors 4 single-authored 17 Drozd, Yuriĭ Anatoliĭovych 5 Kreußler, Bernd 3 Gavran, Volodymyr S. 3 Schiffmann, Olivier G. 2 Galinat, Lennart 2 Greuel, Gert-Martin 2 Henrich, Thilo 2 Zheglov, Alexander B. 1 Abedin, Raschid 1 Alfes-Neumann, Claudia 1 Bodnarchuk, Lesya Yu. 1 Brüning, Kristian 1 Burban, Ivan M. 1 Freiermuth, Hans Georg 1 Gnedin, Wassilij 1 Iyama, Osamu 1 Kalck, Martin 1 Keller, Bernhard 1 Klevtsov, Semyon 1 Peruzzi, Andrea 1 Raum, Martin 1 Reiten, Idun 1 Stolin, Alexander all top 5 Serials 3 Advances in Mathematics 2 Communications in Mathematical Physics 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Journal of Geometry and Physics 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 1 Communications in Algebra 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the London Mathematical Society. Third Series 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 U Sviti Matematyky 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Physics A: Mathematical and Theoretical 1 European Journal of Mathematics all top 5 Fields 35 Algebraic geometry (14-XX) 20 Associative rings and algebras (16-XX) 19 Category theory; homological algebra (18-XX) 6 Nonassociative rings and algebras (17-XX) 4 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 390 times in 278 Documents Cited by ▼ Year ▼ On the Hall algebra of an elliptic curve. I. Zbl 1286.16029 Burban, Igor; Schiffmann, Olivier 67 2012 Cluster tilting for one-dimensional hypersurface singularities. Zbl 1143.13014 Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun 63 2008 Derived categories of nodal algebras. Zbl 1047.16005 Burban, Igor; Drozd, Yuriy 27 2004 Vector bundles and torsion free sheaves on degenerations of elliptic curves. Zbl 1111.14027 Bodnarchuk, Lesya; Burban, Igor; Drozd, Yuriy; Greuel, Gert-Martin 22 2006 Maximal Cohen-Macaulay modules over surface singularities. Zbl 1200.14011 Burban, Igor; Drozd, Yuriy 18 2008 Derived categories of irreducible projective curves of arithmetic genus one. Zbl 1103.14007 Burban, Igor; Kreußler, Bernd 18 2006 Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics. Zbl 1085.14018 Burban, Igor; Kreussler, Bernd 16 2005 Coherent sheaves on rational curves with simple double points and transversal intersections. Zbl 1065.18009 Burban, Igor; Drozd, Yurij 13 2004 Tilting on non-commutative rational projective curves. Zbl 1231.14011 Burban, Igor; Drozd, Yuriy 11 2011 Vector bundles on singular projective curves. Zbl 0998.14016 Burban, I.; Drozd, Yu.; Greuel, G.-M. 11 2001 On a relative Fourier-Mukai transform on genus one fibrations. Zbl 1105.18011 Burban, Igor; Kreußler, Bernd 11 2006 The relative singularity category of a non-commutative resolution of singularities. Zbl 1249.14004 Burban, Igor; Kalck, Martin 10 2012 Coherent sheaves on an elliptic curve. Zbl 1127.14306 Brüning, Kristian; Burban, Igor 9 2007 Stable bundles on a rational curve with one simple double point. Zbl 1077.14537 Burban, I. I. 8 2003 Two descriptions of the quantum affine algebra \(U_{v}(\widehat{\mathfrak{sl}}_2)\) via Hall algebra approach. Zbl 1247.17010 Burban, Igor; Schiffmann, Olivier 8 2012 The composition Hall algebra of a weighted projective line. Zbl 1325.14031 Burban, Igor; Schiffmann, Olivier 8 2013 On derived categories of certain associative algebras. Zbl 1104.16013 Burban, Igor; Drozd, Yuriy 7 2005 Fourier-Mukai transform on Weierstrass cubics and commuting differential operators. Zbl 1408.14113 Burban, Igor; Zheglov, Alexander 7 2018 Vector bundles on degenerations of elliptic curves and Yang-Baxter. Zbl 1314.14032 Burban, Igor; Kreussler, Bernd 6 2012 Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems. Zbl 1430.16019 Burban, Igor; Drozd, Yuriy 6 2017 Derived categories of coherent sheaves on rational singular curves. Zbl 1044.18008 Burban, Igor 5 2004 Vector bundles on plane cubic curves and the classical Yang-Baxter equation. Zbl 1317.14074 Burban, Igor; Henrich, Thilo 5 2015 Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. Zbl 1453.14011 Burban, Igor; Zheglov, Alexander 5 2020 Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation. Zbl 1453.14090 Burban, Igor; Galinat, Lennart 5 2018 Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of the classical Yang-Baxter equation. Zbl 1394.16042 Burban, Igor; Galinat, Lennart; Stolin, Alexander 4 2017 Derived categories for nodal rings and projective configurations. Zbl 1161.16301 Burban, Igor; Drozd, Yuriy 3 2005 Minors and resolutions of non-commutative schemes. Zbl 1386.14073 Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr 3 2017 Frobenius morphism and vector bundles on cycles of projective lines. Zbl 1260.14039 Burban, Igor 2 2012 Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation. Zbl 1256.14031 Burban, Igor; Henrich, Thilo 2 2012 Derived categories and matrix problems. Zbl 1096.18500 Burban, Igor; Drozd, Yurij 2 2002 Analytic moduli spaces of simple sheaves on families of integral curves. Zbl 1298.14018 Burban, Igor; Kreußler, Bernd 2 2014 Singular curves and quasi-hereditary algebras. Zbl 1405.14070 Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr 2 2017 Twist functors and D-branes. Zbl 1093.81546 Burban, I. I.; Burban, I. M. 1 2005 Minors and categorical resolutions. Zbl 1367.14002 Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr 1 2017 Cohen-Macaulay modules over some non-reduced curve singularities. Zbl 1355.13011 Burban, Igor; Gnedin, Wassilij 1 2016 Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. Zbl 1502.14083 Abedin, Raschid; Burban, Igor 1 2021 Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. Zbl 1502.14083 Abedin, Raschid; Burban, Igor 1 2021 Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. Zbl 1453.14011 Burban, Igor; Zheglov, Alexander 5 2020 Fourier-Mukai transform on Weierstrass cubics and commuting differential operators. Zbl 1408.14113 Burban, Igor; Zheglov, Alexander 7 2018 Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation. Zbl 1453.14090 Burban, Igor; Galinat, Lennart 5 2018 Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems. Zbl 1430.16019 Burban, Igor; Drozd, Yuriy 6 2017 Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of the classical Yang-Baxter equation. Zbl 1394.16042 Burban, Igor; Galinat, Lennart; Stolin, Alexander 4 2017 Minors and resolutions of non-commutative schemes. Zbl 1386.14073 Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr 3 2017 Singular curves and quasi-hereditary algebras. Zbl 1405.14070 Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr 2 2017 Minors and categorical resolutions. Zbl 1367.14002 Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr 1 2017 Cohen-Macaulay modules over some non-reduced curve singularities. Zbl 1355.13011 Burban, Igor; Gnedin, Wassilij 1 2016 Vector bundles on plane cubic curves and the classical Yang-Baxter equation. Zbl 1317.14074 Burban, Igor; Henrich, Thilo 5 2015 Analytic moduli spaces of simple sheaves on families of integral curves. Zbl 1298.14018 Burban, Igor; Kreußler, Bernd 2 2014 The composition Hall algebra of a weighted projective line. Zbl 1325.14031 Burban, Igor; Schiffmann, Olivier 8 2013 On the Hall algebra of an elliptic curve. I. Zbl 1286.16029 Burban, Igor; Schiffmann, Olivier 67 2012 The relative singularity category of a non-commutative resolution of singularities. Zbl 1249.14004 Burban, Igor; Kalck, Martin 10 2012 Two descriptions of the quantum affine algebra \(U_{v}(\widehat{\mathfrak{sl}}_2)\) via Hall algebra approach. Zbl 1247.17010 Burban, Igor; Schiffmann, Olivier 8 2012 Vector bundles on degenerations of elliptic curves and Yang-Baxter. Zbl 1314.14032 Burban, Igor; Kreussler, Bernd 6 2012 Frobenius morphism and vector bundles on cycles of projective lines. Zbl 1260.14039 Burban, Igor 2 2012 Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation. Zbl 1256.14031 Burban, Igor; Henrich, Thilo 2 2012 Tilting on non-commutative rational projective curves. Zbl 1231.14011 Burban, Igor; Drozd, Yuriy 11 2011 Cluster tilting for one-dimensional hypersurface singularities. Zbl 1143.13014 Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun 63 2008 Maximal Cohen-Macaulay modules over surface singularities. Zbl 1200.14011 Burban, Igor; Drozd, Yuriy 18 2008 Coherent sheaves on an elliptic curve. Zbl 1127.14306 Brüning, Kristian; Burban, Igor 9 2007 Vector bundles and torsion free sheaves on degenerations of elliptic curves. Zbl 1111.14027 Bodnarchuk, Lesya; Burban, Igor; Drozd, Yuriy; Greuel, Gert-Martin 22 2006 Derived categories of irreducible projective curves of arithmetic genus one. Zbl 1103.14007 Burban, Igor; Kreußler, Bernd 18 2006 On a relative Fourier-Mukai transform on genus one fibrations. Zbl 1105.18011 Burban, Igor; Kreußler, Bernd 11 2006 Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics. Zbl 1085.14018 Burban, Igor; Kreussler, Bernd 16 2005 On derived categories of certain associative algebras. Zbl 1104.16013 Burban, Igor; Drozd, Yuriy 7 2005 Derived categories for nodal rings and projective configurations. Zbl 1161.16301 Burban, Igor; Drozd, Yuriy 3 2005 Twist functors and D-branes. Zbl 1093.81546 Burban, I. I.; Burban, I. M. 1 2005 Derived categories of nodal algebras. Zbl 1047.16005 Burban, Igor; Drozd, Yuriy 27 2004 Coherent sheaves on rational curves with simple double points and transversal intersections. Zbl 1065.18009 Burban, Igor; Drozd, Yurij 13 2004 Derived categories of coherent sheaves on rational singular curves. Zbl 1044.18008 Burban, Igor 5 2004 Stable bundles on a rational curve with one simple double point. Zbl 1077.14537 Burban, I. I. 8 2003 Derived categories and matrix problems. Zbl 1096.18500 Burban, Igor; Drozd, Yurij 2 2002 Vector bundles on singular projective curves. Zbl 0998.14016 Burban, I.; Drozd, Yu.; Greuel, G.-M. 11 2001 all cited Publications top 5 cited Publications all top 5 Cited by 296 Authors 19 Burban, Igor 17 Drozd, Yuriĭ Anatoliĭovych 11 Negut, Andrei 9 Iyama, Osamu 9 Schiffmann, Olivier G. 7 Zhu, Bin 6 Kalck, Martin 6 Takahashi, Ryo 6 Wemyss, Michael 6 Zheglov, Alexander B. 5 Erdmann, Karin 5 Feĭgin, Boris L’vovich 5 López Martín, Ana Cristina 5 Mukhin, Evgeny 5 Polishchuk, Alexander Evgen’evich 5 Schroll, Sibylle 5 Skowroński, Andrzej 4 Abedin, Raschid 4 Caminata, Alessio 4 Chen, Jianmin 4 Jimbo, Michio 4 Lekili, Yankı 4 Lu, Ming 4 Miwa, Tetsuji 4 Pauksztello, David 4 Ruan, ShiQuan 4 Vasserot, Eric 4 Yang, Dong 4 Zhou, Yu 3 August, Jenny 3 Brenner, Holger 3 Buan, Aslak Bakke 3 Faber, Eleonore 3 Gorsky, Eugene 3 Kreußler, Bernd 3 Lin, Yanan 3 Previato, Emma 3 Reiten, Idun 3 Samuelson, Peter 3 Sibilla, Nicolò 3 Voloshyn, D. E. 3 Zhou, Panyue 2 Amiot, Claire 2 Araya, Tokuji 2 Arinkin, Dima 2 Arnesen, Kristin Krogh 2 Bershteĭn, Mikhaĭl Aleksandrovich 2 Bhosle, Usha N. 2 Blasiak, Jonah 2 Bodnarchuk, Lesya Yu. 2 Brînzănescu, Vasile 2 Canakci, Ilke 2 Caorsi, Matteo 2 Cecotti, Sergio 2 Chang, Huimin 2 Cheewaphutthisakun, Panupong 2 Crawley-Boevey, William 2 Dao, Hailong 2 Dugas, Alex S. 2 Feigin, Evgeny 2 Galinat, Lennart 2 Gavran, Volodymyr S. 2 Giraldo, Hernán 2 Gratz, Sira 2 Haiman, Mark D. 2 Henrich, Thilo 2 Hernández Ruipérez, Daniel 2 Holm, Thorsten 2 Iima, Kei-ichiro 2 Ingalls, Colin 2 Kanno, Hiroaki 2 Laking, Rosanna 2 Li, Penghui 2 Liu, Pin 2 Makar-Limanov, Leonid G. 2 Marsh, Bethany Rose 2 Maximov, Stepan 2 Morse, Jennifer 2 Ohkubo, Yusuke 2 Osipov, Denis Vasil’evich 2 Ouyang, Baiyu 2 Palu, Yann 2 Plamondon, Pierre-Guy 2 Pun, Anna Ying 2 Sala, Francesco 2 Sancho de Salas, Fernando 2 Scavia, Federico 2 Seelinger, George H. 2 Skowyrski, Adam 2 Smith, Ivan 2 Stolin, Alexander 2 Szczesny, Matthew 2 Tejero Prieto, Carlos 2 Tovpyha, Oleksii 2 van Roosmalen, Adam-Christiaan 2 Xiao, Jie 2 Xie, Yunli 2 Xu, Jinde 2 Yanagida, Shintarou 2 Zembyk, Vasyl V. ...and 196 more Authors all top 5 Cited in 79 Serials 31 Journal of Algebra 24 Advances in Mathematics 13 Communications in Mathematical Physics 13 Selecta Mathematica. New Series 12 Mathematische Zeitschrift 8 Journal of Geometry and Physics 7 Ukrainian Mathematical Journal 7 Journal of Pure and Applied Algebra 7 Transactions of the American Mathematical Society 7 Algebras and Representation Theory 6 Communications in Algebra 6 Manuscripta Mathematica 5 Duke Mathematical Journal 5 Proceedings of the American Mathematical Society 5 Journal of High Energy Physics 5 Kyoto Journal of Mathematics 4 Compositio Mathematica 4 Mathematische Annalen 4 Journal of the European Mathematical Society (JEMS) 3 Archiv der Mathematik 3 Publications Mathématiques 3 Inventiones Mathematicae 3 Journal of the London Mathematical Society. Second Series 3 Proceedings of the London Mathematical Society. Third Series 3 Acta Mathematica Sinica. English Series 3 Journal of the Institute of Mathematics of Jussieu 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Physics A: Mathematical and Theoretical 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 Glasgow Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Nagoya Mathematical Journal 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Applied Categorical Structures 2 Sbornik: Mathematics 2 Documenta Mathematica 2 Transformation Groups 2 Representation Theory 2 Annals of Mathematics. Second Series 2 Algebra and Discrete Mathematics 2 Journal of Noncommutative Geometry 2 Forum of Mathematics, Pi 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Theoretical and Mathematical Physics 1 Annales de l’Institut Fourier 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Science in China. Series A 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Algebraic Combinatorics 1 Journal of Algebraic Geometry 1 St. Petersburg Mathematical Journal 1 Theory and Applications of Categories 1 Séminaire Lotharingien de Combinatoire 1 Geometry & Topology 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Moscow Mathematical Journal 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Algebra & Number Theory 1 Journal of Commutative Algebra 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics 1 Algebraic Combinatorics 1 Frontiers of Mathematics all top 5 Cited in 30 Fields 146 Algebraic geometry (14-XX) 131 Associative rings and algebras (16-XX) 93 Category theory; homological algebra (18-XX) 56 Commutative algebra (13-XX) 53 Nonassociative rings and algebras (17-XX) 29 Quantum theory (81-XX) 17 Combinatorics (05-XX) 14 Group theory and generalizations (20-XX) 10 Topological groups, Lie groups (22-XX) 10 Differential geometry (53-XX) 8 Special functions (33-XX) 8 Manifolds and cell complexes (57-XX) 7 Number theory (11-XX) 7 \(K\)-theory (19-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Ordinary differential equations (34-XX) 4 Algebraic topology (55-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) Citations by Year