Articles

  1. On Strassen's rank additivity for small three-way tensors
    Jarosław Buczyński, Elisa Postinghel, Filip Rupniewski
    SIAM J. Matrix Anal. Appl., 41(1), 106–133, 2020 (28 pages), https://doi.org/10.1137/19M1243099
  2. Distinguishing secant from cactus varieties
    Maciej Gałązka, Tomasz Mańdziuk, Filip Rupniewski
    Found. Comput. Math., (37 pages), 2023 https://doi.org/10.1007/s10208-022-09566-8
  3. Tensor rank of the direct sum of two copies of 2×2 matrix multiplication tensor is 14
    Filip Rupniewski
    Lin. Alg. and its Appl., 698, 448–478, 2024, https://doi.org/10.1016/j.laa.2024.06.016
  4. Countably many asymptotic tensor ranks
    Andreas Blatter, Jan Draisma, Filip Rupniewski
    Lin. and Mult. Alg., 73, 1-6, 2025, https://doi.org/10.1080/03081087.2024.2317906
  5. A Tensor Restriction Theorem over Finite Fields
    Andreas Blatter, Jan Draisma, Filip Rupniewski
    Compos. Math., 161(5), 1021–1053, 2025. https://doi.org/10.1112/S0010437X25007067
  6. Border subrank via a generalised Hilbert-Mumford criterion
    Benjamin Biaggi, Cha-Yu Chang, Jan Draisma, Filip Rupniewski
    Adv. Math., 461, 110077, 2025 https://doi.org/10.1016/j.aim.2024.110077

Theses

  1. Ranks of tensors, related varieties and rank additivity property for small cases
    F. Rupniewski
    Advisor: Prof. Dr. J. Buczyński
    Ph.D. thesis, Polish Academy of Sciences, 2022
  2. Tensors of border rank 3 and Strassen's additivity conjecture.
    F. Rupniewski
    Advisor: Prof. Dr. J. Buczyński
    MSc thesis, Univeristy of Warsaw, 2017