C.Alfes-Neumann, I.Burban, M.Raum, A classification of polyramonic Maaß forms via quiver representations (pdf), arXiv:2207.02278
I.Burban, Yu.Drozd, Non-commutative nodal curves and derived tame algebras (pdf), arXiv:1805.05174.
I.Burban, Yu.Drozd, On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems (pdf), arXiv:1706.08358.
Recent publications
I. Burban, A.Peruzzi, On elliptic solutions of the associative Yang-Baxter equation (pdf), J.Geom.Phys. 176 (2022), no.104499, 10 pp.
I.Burban, Yu.Drozd, Morita theory for non-commutative noetherian schemes (pdf), Adv. Math. 399 (2022), no. 108273, 42 pp.
R.Abedin, I. Burban, Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation (pdf), Comm. Math. Phys. 387 (2021), no. 2, 1051–1109.
I.Burban, A.Zheglov, Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems (pdf), Proc. Lond. Math. Soc. (3) 121 (2020), no. 4, 1033–1082
I.Burban, L.Galinat, Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation (pdf), Comm. Math. Phys. 364 (2018), no. 1, 123–169.
I.Burban, A.Zheglov, Fourier-Mukai transform on Weierstraß cubics and commuting differential operators (pdf), Internat. J. Math. 29 (2018), no. 10, 1850064, 46 pp.
I.Burban, L.Galinat, A.Stolin, Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE (pdf), Journal of Physics A 50 (2017), no. 45, 454002.
I.Burban, Yu.Drozd, Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems (pdf), Memoirs of the AMS, vol. 248, no. 1178 (2017).
I.Burban, Yu.Drozd, V.Gavran, Minors of non-commutative schemes (pdf), European Journal of Math. 3 (2017), no. 2, 311-341.
I.Burban, W.Gnedin, Cohen-Macaulay modules over some non-reduced curve singularities (pdf), Journal of Pure and Applied Algebra, vol. 220, no. 12, 3777-3815 (2016).
I.Burban, T.Henrich, Vector bundles on plane cubic curves and the classical Yang-Baxter equation (pdf), Journal of the European Math. Society, vol. 17, no. 3, 591-644 (2015).
I.Burban, B.Kreussler, Analytic moduli spaces of simple sheaves on families of integral curves (pdf), Math. Nachr., vol. 287, no. 2-3, 173-183 (2014).
I.Burban, O.Schiffmann, Composition algebra of a weighted projective line (pdf), Journal für Reine und Angew. Mathematik, vol. 679, 75-124 (2013).
I.Burban, M.Kalck, Relative singularity category of a non-commutative resolution of singularities (pdf), Adv. in Math., vol. 231, no. 1, 414-435 (2012).
I.Burban, Frobenius morphism and vector bundles on cycles of projective lines (pdf), Comm. in Algebra, vol. 40, no. 8, 2983-2988 (2012).
I.Burban, T.Henrich, Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation (pdf), Journal of Geometry and Physics, vol. 62, no. 2, 312-329 (2012).
I.Burban, B.Kreussler, Vector bundles on degenerations of elliptic curves and Yang-Baxter equations (pdf), Memoirs of the AMS, vol. 220, no. 1035 (2012).
I.Burban, O.Schiffmann, Two descriptions of the quantum affine algebra $U_v(sl^_2)$ via Hall algebra approach (pdf), Glasgow Mathematical Journal, vol. 54, no. 2, 283-307 (2012).
I.Burban, O.Schiffmann, On the Hall algebra of an elliptic curve I (pdf), Duke Math. Journal, vol. 161, no. 7, 1171-1231 (2012).
Coherent sheaves on an elliptic curve (pdf), Notes of Kristian Bruening of my lecture course given at Tsinghua University in August 2005, Beijing, China.
Maximal Cohen-Macaulay modules over quotient surface singularities (pdf). These are notes of my talks given in Paderborn and Osaka in 2009.
