I study associative algebras, quiver representations, and cluster algebras. In particular, I am intersted in different aspects of cluster-tilted algebras, combinatorics of friezes, maximal green sequences, and tau-tilting theory.

My Publications and Preprints

  • Alexander Garver, Thomas McConville, and Khrystyna Serhiyenko, Minimal length maximal green sequences, ArXiv:1702.07313 .
  • Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, and Gordana Todorov, Mutation of friezes, to appear in Bull. Sci. Math., ArXiv:1612.05374.
  • Nicolas Ford and Khrystyna Serhiyenko, Green-to-red sequences for positroids, ArXiv:1610.01695 .
  • Ibrahim Assem, Ralf Schiffler, and Khrystyna Serhiyenko, Modules over cluster-tilted algebras that do not lie on local slices, ArXiv:1606.05161 .
  • Ibrahim Assem, Ralf Schiffler, and Khrystyna Serhiyenko, Cluster-tilted and quasi-tilted algebras, J. Pure Appl. Algebra 221 (2017), no. 9, 2266–2288.
  • Ralf Schiffler and Khrystyna Serhiyenko, Injective presentations of induced modules over cluster- tilted algebras, to appear in Algebr. Represent. Theory.
  • Ralf Schiffler and Khrystyna Serhiyenko, Induced and coinduced modules over cluster-tilted algebras, J. Algebra 472 (2017), 226–258.
  • Emily Cormier, Peter Dillery, Jill Resh, Khrystyna Serhiyenko, and John Whelan, Minimal length maximal green sequences and triangulations of polygons, J. Algebraic Combin. 44 (2016), no. 4, 905–930.
  • Dan Kelleher, Michael J. Ignatowich, Catherine E. Maloney, David J. Miller, Khrystyna Serhiyenko, Resistance scaling factor of the Pillow and Fractalina fractals, Fractals 23 (2015), no. 2, 1550018, 9 pp.