On bilinear algorithms for multiplication in quaternion algebras - Vladimir Lysikov (CoRR, 2012)

On Degeneration of Tensors and Algebras. - Markus Bläser; Vladimir Lysikov (MFCS, 2016)

Strassen's 2x2 matrix multiplication algorithm: A conceptual perspective. - Christian Ikenmeyer; Vladimir Lysikov (CoRR, 2017)

Generalized Matrix Completion and Algebraic Natural Proofs. - Markus Bläser; Christian Ikenmeyer; Gorav Jindal; Vladimir Lysikov (Electron. Colloquium Comput. Complex., 2018)

Variety Membership Testing, Algebraic Natural Proofs, and Geometric Complexity Theory. - Markus Bläser; Christian Ikenmeyer; Vladimir Lysikov; Anurag Pandey 001; Frank-Olaf Schreyer (CoRR, 2019)

On the Complexity of Hazard-free Circuits. - Christian Ikenmeyer; Balagopal Komarath; Christoph Lenzen 001; Vladimir Lysikov; Andrey Mokhov; Karteek Sreenivasaiah (J. ACM, 2019)

Slice Rank of Block Tensors and Irreversibility of Structure Tensors of Algebras. - Markus Bläser; Vladimir Lysikov (MFCS, 2020)

Weighted Slice Rank and a Minimax Correspondence to Strassen's Spectra. - Matthias Christandl; Vladimir Lysikov; Jeroen Zuiddam (CoRR, 2020)

On the Orbit Closure Containment Problem and Slice Rank of Tensors. - Markus Bläser; Christian Ikenmeyer; Vladimir Lysikov; Anurag Pandey 001; Frank-Olaf Schreyer (SODA, 2021)

Degree-Restricted Strength Decompositions and Algebraic Branching Programs. - Fulvio Gesmundo; Purnata Ghosal; Christian Ikenmeyer; Vladimir Lysikov (FSTTCS, 2022)

Border complexity via elementary symmetric polynomials. - Pranjal Dutta; Fulvio Gesmundo; Christian Ikenmeyer; Gorav Jindal; Vladimir Lysikov (Electron. Colloquium Comput. Complex., 2022)

Homogeneous Algebraic Complexity Theory and Algebraic Formulas. - Pranjal Dutta; Fulvio Gesmundo; Christian Ikenmeyer; Gorav Jindal; Vladimir Lysikov (ITCS, 2024)

Fixed-Parameter Debordering of Waring Rank. - Pranjal Dutta; Fulvio Gesmundo; Christian Ikenmeyer; Gorav Jindal; Vladimir Lysikov (STACS, 2024)

Complexity theory of orbit closure intersection for tensors: reductions, completeness, and graph isomorphism hardness. - Vladimir Lysikov; Michael Walter 005 (CoRR, 2024)

The resource theory of tensor networks. - Matthias Christandl; Vladimir Lysikov; Vincent Steffan; Albert H. Werner; Freek Witteveen (Quantum, 2024)

Persistent Tensors and Multiqudit Entanglement Transformation. - Masoud Gharahi; Vladimir Lysikov (Quantum, 2024)

Partial Degeneration of Tensors. - Matthias Christandl; Fulvio Gesmundo; Vladimir Lysikov; Vincent Steffan (SIAM J. Matrix Anal. Appl., 2024)

Algebraic Metacomplexity and Representation Theory. - Maxim van den Berg; Pranjal Dutta; Fulvio Gesmundo; Christian Ikenmeyer; Vladimir Lysikov (CCC, 2025)

Computing Moment Polytopes of Tensors, with Applications in Algebraic Complexity and Quantum Information. - Maxim van den Berg; Matthias Christandl; Vladimir Lysikov; Harold Nieuwboer; Michael Walter 005; Jeroen Zuiddam (STOC, 2025)

The moment polytope of matrix multiplication is not maximal. - Maxim van den Berg; Matthias Christandl; Vladimir Lysikov; Harold Nieuwboer; Michael Walter 005; Jeroen Zuiddam (CoRR, 2025)

Explicit non-free tensors. - Maxim van den Berg; Matthias Christandl; Vladimir Lysikov; Harold Nieuwboer; Michael Walter 005; Jeroen Zuiddam (CoRR, 2025)

Barriers for rectangular matrix multiplication. - Matthias Christandl; François Le Gall; Vladimir Lysikov; Jeroen Zuiddam (Comput. Complex., 2025)

Geometric complexity theory for product-plus-power. - Pranjal Dutta; Fulvio Gesmundo; Christian Ikenmeyer; Gorav Jindal; Vladimir Lysikov (J. Symb. Comput., 2026)