Representation theory of the Gelfand quiver and Harish-Chandra modules for SL_2(R)
I. Burban, W. Gnedin, ArXiv:2604.00274 (2026).

Representation theory of the real Gelfand order and real Harish-Chandra modules for SL_2(R)
I. Burban, Y. Drozd, ArXiv:2605.18000 (2026).

Non-crossing partitions for exceptional hereditary curves
B. Baumeister, I. Burban, G. Neaime, C.M. Schwabe, ArXiv:2512.01729 (2025).

Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus
I. Burban, S. Klevtsov, Communications in Mathematical Physics 406 (2025).

Some aspects of the theory of nodal orders
I. Burban, Y. Drozd, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.

Exceptional hereditary curves and real curve orbifolds
I. Burban, Algebra and Discrete Mathematics 38 (2025) 166–203.

Norms of wave functions for FQHE models on a torus
I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.

Classification of real nodal orders
I. Burban, Y. Drozd, ArXiv:2410.05792 (2024).

Du Val Singularities
I. Burban, in: Springer Proceedings in Mathematics &;amp; Statistics, Springer International Publishing, Cham, 2023.

Du Val Singularities
I. Burban, in: Springer Proceedings in Mathematics &;amp; Statistics, Springer International Publishing, Cham, 2023.

Morita theory for non-commutative noetherian schemes
I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).

On elliptic solutions of the associative Yang-Baxter equation
I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).

A classification of polyharmonic Maaß forms via quiver representations
I. Burban, C. Alfes-Neumann, M. Raum, (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 Weierstraß cubic curves and the classical Yang-Baxter equation
I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169.

Non-commutative nodal curves and derived tame algebras
I. Burban, Yu. Drozd, (2018).

Fourier-Mukai transform on Weierstraß cubics and commuting differential operators
I. Burban, A. Zheglov, International Journal of Mathematics 29 (2018).

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.

On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems
I. Burban, Yu. Drozd, (2017).