@unpublished{63620,
  abstract     = {{We introduce a new class of reflection groups associated with the canonical bilinear lattices of Lenzing, which we call reflection groups of canonical type. The main result of this work is a categorification of the corresponding poset of non-crossing partitions for any such group, realized via the poset of thick subcategories of the category of coherent sheaves on an exceptional hereditary curve generated by an exceptional sequence. A second principal result, essential for the categorification, is a proof of the transitivity of the Hurwitz action in these reflection groups.}},
  author       = {{Baumeister, Barbara and Burban, Igor and Neaime, Georges and Schwabe, Charly Merlin}},
  booktitle    = {{arXiv:2512.01729}},
  title        = {{{Non-crossing partitions for exceptional hereditary curves}}},
  year         = {{2025}},
}

@unpublished{44537,
  author       = {{Burban, Igor and Alfes-Neumann, C. and Raum, M.}},
  title        = {{{A classification of polyharmonic Maa forms via quiver representations}}},
  year         = {{2022}},
}

@unpublished{44538,
  author       = {{Burban, Igor and Drozd, Yu.}},
  title        = {{{Non-commutative nodal curves and derived tame algebras}}},
  year         = {{2018}},
}

@unpublished{44539,
  author       = {{Burban, Igor and Drozd, Yu.}},
  title        = {{{On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems}}},
  year         = {{2017}},
}