Prof. Dr. Igor Burban
Algebra
- E-Mail:
- burban@math.uni-paderborn.de
- Phone:
- +49 5251 60-2619
- ORCID:
- 0000-0002-5422-0637
- Web:
- Homepage
- Office Address:
-
360直播吧 Str. 100
33098 Paderborn - Room:
- D2.213
About Igor Burban
Curriculum Vitae
Since 2018: Professor (W3)
Paderborn University, Germany
2012 - 2018: Professor (W2)
University of Cologne, Germany
2007 - 2012: Junior Research Group Leader
Emmy Noether Research Group, University of Bonn, Germany
2010: Habilitation
Coherent sheaves on degenerations of elliptic curves, Fourier-Mukai transforms and Yang-Baxter equations, University of Bonn, Germany
2005 - 2007: Postdoc
University of Mainz, Germany
2004 - 2005: Postdoc
Max-Planck Institute for Mathematics, Bonn, Germany
2003 - 2004: Postdoc
University Paris 6, Paris, France
24.05.2003: Doctorate
Dr. rer. nat., Mathematics, University of Kaiserslautern, Germany. Supervisors: Yuriy Drozd and Gert-Martin Greuel
1998 - 2000: Degree programme
M.Sc. Mathematics, University of Kaiserslautern, Germany
1994 - 1998: Degree programme
B.Sc. Mathematics, Taras Shevtchenko Kyiv State University, Ukraine
2014: Albertus Magnus best teaching award, University of Cologne, Germany
2013: Albertus Magnus best teaching award, University of Cologne, Germany
2008: ICRA Award (International Conference on Representations of Algebras)
2007: Emmy Noether Grant, German Research Foundation (DFG), Germany
Research
Selected Projects
- TRR 358 - Integral structures in geometry and representation theory
- Trigonometric solutions of the classical Yang–Baxter equation and Lie bialgebra structures on loop Lie algebras
- TRR 191 - Symplectic methods of infinite dimensional systems (Subproject B06)
- Derived–tame algebras and non–commutative nodal curves
- SPP 1388 - Classical Yang-Baxter equation and sheaves on degenerations of elliptic curves (Teilprojekt)
Publications
Selected Publications
Morita theory for non-commutative noetherian schemes
I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).
Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation
I. Burban, R. Abedin, Communications in Mathematical Physics 387 (2021) 1051–1109.
Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems
I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082.
Torsion free sheaves on Weierstra? cubic curves and the classical Yang-Baxter equation
I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169.
Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems
I. Burban, Yu. Drozd, Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems, 1178th ed., 2017.
Show all publications
Teaching
Current Courses
- Seminar
- Oberseminar "Algebra und Algebraische Geometrie"
- Lineare Algebra für Informatik (?bung)
- Lineare Algebra für Informatik
- AG Burban
Scientific Engagement
2023 | Member of the Scientific Committee of ICRA 21 Conference
2022 | Principal Organiser of the conference "Representation Theory and Triangulated Categories", Paderborn
2019 | Co-organiser of the "2019 International Conference on Singularity Theory", Sanya, China
2018 | Co-organiser of the international conference "Geometry and representation theory of algebraic groups", Bad Honnef, Germany
2015 | Co-organiser of the summer school "Characters of representations and modular forms", Bonn, Germany
2011 | Co-organiser of the summer school "Cohen-Macaulay modules over surface singularities and McKay correspondence", Oberwolfach, Germany
2003 | Co-organiser of the international conference "Geometrie algebrique en liberte (GAEL-XI)", Luminy, France
2002 | Co-organiser of the international conference "Geometrie algebrique en liberte (GAEL-X)", Luminy, France
Since 2021 | Editor of "Jahresbericht der Deutschen Mathematiker-Vereinigung"