A Short Proof of Combinatorial Nullstellensatz. - Mateusz Michalek (Am. Math. Mon., 2010)

Constructive degree bounds for group-based models. - Mateusz Michalek (J. Comb. Theory A, 2013)

Abelian Tensors. - J. M. Landsberg; Mateusz Michalek (CoRR, 2015)

On the geometry of border rank algorithms for matrix multiplication and other tensors with symmetry. - J. M. Landsberg; Mateusz Michalek (CoRR, 2016)

A $2n^2-log(n)-1$ lower bound for the border rank of matrix multiplication. - J. M. Landsberg; Mateusz Michalek (CoRR, 2016)

Quantum Jumps of Normal Polytopes. - Winfried Bruns; Joseph Gubeladze; Mateusz Michalek (Discret. Comput. Geom., 2016)

Plethysm and Lattice Point Counting. - Thomas Kahle; Mateusz Michalek (Found. Comput. Math., 2016)

Smooth monomial Togliatti systems of cubics. - Mateusz Michalek; Rosa M. Miró-Roig (J. Comb. Theory A, 2016)

Finite phylogenetic complexity of Zp and invariants for Z3. - Mateusz Michalek (Eur. J. Comb., 2017)

Non-Normal Very Ample Polytopes - Constructions and Examples. - Michal Lason; Mateusz Michalek (Exp. Math., 2017)

On the Geometry of Border Rank Decompositions for Matrix Multiplication and Other Tensors with Symmetry. - J. M. Landsberg; Mateusz Michalek (SIAM J. Appl. Algebra Geom., 2017)

Obstructions to Combinatorial Formulas for Plethysm. - Thomas Kahle; Mateusz Michalek (Electron. J. Comb., 2018)

Computing images of polynomial maps. - Corey Harris; Mateusz Michalek; Emre Can Sertöz (Adv. Comput. Math., 2019)

Best k-layer neural network approximations. - Lek-Heng Lim; Mateusz Michalek; Yang Qi (CoRR, 2019)

Towards finding hay in a haystack: explicit tensors of border rank greater than 2.02m in Cm ⊗ Cm ⊗ Cm. - J. M. Landsberg; Mateusz Michalek (CoRR, 2019)

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

A Tensor Version of the Quantum Wielandt Theorem. - Mateusz Michalek; Tim Seynnaeve; Frank Verstraete (SIAM J. Matrix Anal. Appl., 2019)

Quantum Version of Wielandt's Inequality Revisited. - Mateusz Michalek; Yaroslav Shitov 001 (IEEE Trans. Inf. Theory, 2019)

Toric geometry of path signature varieties. - Laura Colmenarejo; Francesco Galuppi; Mateusz Michalek (Adv. Appl. Math., 2020)

Border rank non-additivity for higher order tensors. - Matthias Christandl; Fulvio Gesmundo; Mateusz Michalek; Jeroen Zuiddam (CoRR, 2020)

Bounds on complexity of matrix multiplication away from CW tensors. - Roser Homs; Joachim Jelisiejew; Mateusz Michalek; Tim Seynnaeve (CoRR, 2021)

Algebraic compressed sensing. - Paul Breiding; Fulvio Gesmundo; Mateusz Michalek; Nick Vannieuwenhoven (CoRR, 2021)

Maximum Likelihood Degree, Complete Quadrics, and ℂ*-Action. - Mateusz Michalek; Leonid Monin; Jaroslaw A. Wisniewski (SIAM J. Appl. Algebra Geom., 2021)

Border Rank Nonadditivity for Higher Order Tensors. - Matthias Christandl; Fulvio Gesmundo; Mateusz Michalek; Jeroen Zuiddam (SIAM J. Matrix Anal. Appl., 2021)

Many Faces of Symmetric Edge Polytopes. - Alessio D'Alì; Emanuele Delucchi; Mateusz Michalek (Electron. J. Comb., 2022)

A Note on Seminormality of Cut Polytopes. - Michal Lason; Mateusz Michalek (SIAM J. Discret. Math., 2022)

Uniform matrix product states from an algebraic geometer's point of view. - Adam Czaplinski; Mateusz Michalek; Tim Seynnaeve (Adv. Appl. Math., 2023)

Symmetric powers: structure, smoothability, and applications. - Cosimo Flavi; Joachim Jelisiejew; Mateusz Michalek (CoRR, 2024)

A Universal Sequence of Tensors for the Asymptotic Rank Conjecture. - Petteri Kaski; Mateusz Michalek (ITCS, 2025)