I study associative algebras, quiver representations, and cluster algebras. In particular, I am intersted in cluster structures coming from Grassmannians and positroids, different aspects of cluster-tilted algebras,
combinatorics of friezes, maximal green sequences, and tau-tilting theory.
Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, and Gordana Todorov, Conway-Coxeter friezes and mutation: a survey, ArXiv:1806.06441.
Alexander Garver, Thomas McConville, and Khrystyna Serhiyenko, Minimal length maximal green sequences, Adv. in Appl. Math. 96 (2018), 76–138.
Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, and Gordana Todorov, Mutation of friezes, Bull. Sci. Math. 142 (2018), 1– 48.
Nicolas Ford and Khrystyna Serhiyenko, Green-to-red sequences for positroids, J. Combin. Theory Ser. A 159 (2018), 164–182.
Ibrahim Assem, Ralf Schiffler, and Khrystyna Serhiyenko, Modules over cluster-tilted algebras that do not lie on local slices, Arch. Math. (Basel) 110 (2018), no. 1, 9–18.
Ralf Schiffler and Khrystyna Serhiyenko, Injective presentations of induced modules over cluster- tilted algebras, Algebr. Represent. Theory 21 (2018), no. 2, 447–470.
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, 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.