Decomposing Sets of Inversions. - Lukas Katthän (Electron. J. Comb., 2013)

Polytopal Affine Semigroups with Holes Deep Inside. - Lukas Katthän (Discret. Comput. Geom., 2013)

The behavior of Stanley depth under polarization. - Bogdan Ichim; Lukas Katthän; Julio José Moyano-Fernández (J. Comb. Theory A, 2015)

Finding binomials in polynomial ideals. - Anders Jensen; Thomas Kahle; Lukas Katthän (CoRR, 2016)

LCM Lattices and Stanley Depth: A First Computational Approach. - Bogdan Ichim; Lukas Katthän; Julio José Moyano-Fernández (Exp. Math., 2016)

Stanley depth and the lcm-lattice. - Bogdan Ichim; Lukas Katthän; Julio José Moyano-Fernández (J. Comb. Theory A, 2017)

How to compute the Stanley depth of a module. - Bogdan Ichim; Lukas Katthän; Julio José Moyano-Fernández (Math. Comput., 2017)

When is a Polynomial Ideal Binomial After an Ambient Automorphism? - Lukas Katthän; Mateusz Michalek; Ezra Miller (Found. Comput. Math., 2019)

A unified framework of SAGE and SONC polynomials and its duality theory. - Lukas Katthän; Helen Naumann; Thorsten Theobald (Math. Comput., 2021)

Graded Cohen-Macaulay Domains and Lattice Polytopes with Short h-Vector. - Lukas Katthän; Kohji Yanagawa (Discret. Comput. Geom., 2022)