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Author ID: burban.igor Recent zbMATH articles by "Burban, Igor"
Published as: Burban, Igor; Burban, I. I.; Burban, I.
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

Publications by Year

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 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

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