Khrystyna Serhiyenko

collaborators

5 papers

math.RT2026

On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness

Ralf Schiffler, Khrystyna Serhiyenko

We study 2-Calabi-Yau tilted algebras which are non-commutative Iwanaga-Gorenstein algebras of Gorenstein dimension 1. In particular, we are interested in their syzygy categories o…

math.CO2026

Locally anti-blocking $g$ -polytopes for flow polytopes

Jonah Berggren, Benjamin Braun, Alvaro Cornejo +6

Given an acyclic directed graph (DAG), the space of strength one flows is a lattice polytope called the flow polytope of the DAG. If the DAG admits an ample framing, then the flow…

math.RT2025

Classical tilting and $I ¨ $ -tilting theory via duplicated algebras

Jonah Berggren, Khrystyna Serhiyenko

$I ¨ $ -tilting theory can be thought of as a generalization of the classical tilting theory which allows mutations at any indecomposable summand of a support $I ¨ $ -tilting pair. Indee…

math.CO2025

$S L_{k}$ -Tilings and Paths in $Z^{k}$

Zachery Peterson, Khrystyna Serhiyenko

An $S L_{k}$ -tiling is a bi-infinite array of integers having all adjacent $k \times k$ minors equal to one and all adjacent $(k + 1) \times (k + 1)$ minors equal to zero. Introduced and st…

math.CO2025

Consistent Dimer Models on Surfaces with Boundary

Jonah Berggren, Khrystyna Serhiyenko

A dimer model is a quiver with faces embedded in a surface. We define and investigate notions of consistency for dimer models on general surfaces with boundary which restrict to we…

On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness

Locally anti-blocking g-polytopes for flow polytopes

Classical tilting and I¨-tilting theory via duplicated algebras

SLk​-Tilings and Paths in Zk

Consistent Dimer Models on Surfaces with Boundary

Locally anti-blocking $g$ -polytopes for flow polytopes

Classical tilting and $I ¨ $ -tilting theory via duplicated algebras

$S L_{k}$ -Tilings and Paths in $Z^{k}$