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. (28 pages), https://doi.org/10.1137/19M1243099
  2. Distinguishing secant from cactus varieties
    Maciej Gałązka, Tomasz Mańdziuk, Filip Rupniewski
    Foundations of Computational Mathematics, (37 pages), 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 , 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., 2024, 1-6, http://dx.doi.org/10.1080/03081087.2024.2317906
  5. A Tensor Restriction Theorem over Finite Fields
    Andreas Blatter, Jan Draisma, Filip Rupniewski
  6. Border subrank via a generalised Hilbert-Mumford criterion
    Benjamin Biaggi, Cha-Yu Chang, Jan Draisma, Filip Rupniewski

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