Lukas Katthän

activity

20112021

most citedNetwork representations of non-equilibrium steady states: Cycle decompositions, symmetries and dominant paths

34 citations · 97 across the 11 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.AC2016★ 10 cited

The structure of DGA resolutions of monomial ideals

Lukas Katthän

Let $I \subset k [x_{1}, \dots, x_{n}]$ be a squarefree monomial ideal a polynomial ring. In this paper we study multiplications on the minimal free resolution $F$ of $k[x_1,…

math.CO2016★ 22 cited

Ehrhart Theory of Spanning Lattice Polytopes

Johannes Hofscheier, Lukas Katthän, Benjamin Nill

A lattice polytope is called spanning if its lattice points affinely span the ambient lattice. We show as a corollary to a general result in the Ehrhart theory of lattice polytopes…

math.AC2016★ 1 cited

Which series are Hilbert series of graded modules over polynomial rings?

Lukas Katthän, Julio José Moyano-Fernández, Jan Uliczka

Let $S$ be a multigraded polynomial ring such that the degree of each variable is a unit vector; so $S$ is the homogeneous coordinate ring of a product of projective spaces. In thi…