Fulvio Gesmundo

Institut de Mathématiques de Toulouse - Université de Toulouse

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My articles are also on Google Scholar and arXiv. You can check out my Orcid.

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Highlights

All publications

  1. Geometric complexity theory for product-plus-power, with P. Dutta, C. Ikenmeyer, G. Jindal, V. Lysikov,
    J. Symbolic Computation, vol. 131, pp. 102458, (2025) journal arXiv
  2. Algebraic metacomplexity and representation theory, with M. van den Berg, P. Dutta, C. Ikenmeyer, V. Lysikov
    accepted in Computational Complexity Conference, CCC2025, arXiv
  3. The next gap in the subrank of 3-tensors, with J. Zuiddam
    Linear Algebra and its Applications, vol. 722. pp. 1--11 (2025) journal arXiv
  4. Linear preservers of secant varieties and other varieties of tensors, with B. Lovitz, Y. Han
    J. Symbolic Computation, vol. 131, pp. 102449, (2025) journal arXiv
  5. Bernstein-Gelfand-Gelfand meets geometric complexity theory: resolving the 2 x 2 permanents of a 2 x n matrix, with A. Huang, H. Schenck, J. Weyman
    Trans. Am. Math. Soc., vol. 378(5), pp. 3573-3596 (2025) journal arXiv
  6. Collineation varieties of tensors, with H. Keneshlou
    Collectanea Mathematica, online first (2025) journal arXiv code
  7. Hilbert Functions of Chopped Ideals, with L. Kayser, S. Telen,
    Journal of Algebra, 666, pp. 415-445 (2025) journal arXiv code
    The Mathrepo page of this article was awarded the Fairest Mathrepo Page 2023 Award.
  8. Quatroids and Rational Plane Cubics, with T. Brysiewicz, A. Steiner
    Beiträge zur Algebra und Geometrie, 65(4), pp. 923-972 (2024) journal arXiv
  9. Quantum max-flow in the bridge graph, with V. Lysikov, V. Steffan,
    Transformation Groups, online first (2024) journal arXiv
  10. Fixed-parameter debordering of Waring rank, with P. Dutta, C. Ikenmeyer, G. Jindal, V. Lysikov,
    STACS 2024, Leibniz International Proceedings in Informatics (LIPIcs), 289, pp. 30:1-30:15 (2024) conference arXiv
  11. Homogeneous Algebraic Complexity Theory and Algebraic Formulas, with P. Dutta, C. Ikenmeyer, G. Jindal, V. Lysikov,
    ITCS 2024, Leibniz International Proceedings in Informatics (LIPIcs), 287, pp. 43:1-43:23 (2024) conference arXiv
  12. Partial Degeneration of Tensors, with M. Christandl, V. Lysikov, V. Steffan,
    SIAM Journal on Matrix Analysis and Applications (SIMAX), 45(1), pp. 771-800 (2024) journal arXiv
  13. Decompositions and Terracini loci of cubic forms of low rank, with L. Chiantini,
    Deformation of Artinian Algebras and Jordan Types, Contemporary Mathematics, vol. 805, pp. 139-156 (2024) volume arXiv
  14. A Gap in the Subrank of Tensors, with M. Christandl, J. Zuiddam,
    SIAM J. Applied Alg. and Geom., vol. 7 (4), pp. 742-767 (2023) journal arXiv
    Presented at QIP 2024: link
  15. Geometry of Tensors: Open problems and research directions,
    A report on the AGATES Kickoff Workshop (2023), Agates arXiv
  16. Algebraic Compressed Sensing, with P. Breiding, M. Michałek, N. Vannieuwenhoven,
    Applied and Computational Harmonic Analysis, vol. 65, pp.374-406 (2023) journal arXiv
  17. Dimension of Tensor Network Varieties, with A. Bernardi, C. De Lazzari,
    Communications in Contemporary Mathematics, vol. 25(10), pp.2250059 (2023) journal arXiv code
    Presented at MEGA 2021: slides
  18. Degree-restricted strength decompositions and algebraic branching programs, with P. Ghosal, C. Ikenmeyer, V. Lysikov,
    FSTTCS 2022, Leibniz International Proceedings in Informatics (LIPIcs), 250, 20:1-20:15 (2022) conference arXiv
  19. The Geometry of Discotopes, with C. Meroni,
    Le Matematiche, 77 (1), 143--171, (2022) journal arXiv
  20. Rank and border rank of Kronecker powers of tensors and Strassen's laser method with A. Conner, J. M. Landsberg, E. Ventura
    computational complexity, 31, 1, (2022) journal arXiv code
    ITCS 2020, Leibniz International Proceedings in Informatics (LIPIcs), 151, 10:1--10:28 (2020) conference code
  21. Optimization at the boundary of the tensor network variety, with M. Christandl, D. Stilck-França, A. H. Werner,
    Physical Review B 103 (19), 195139 (2021) journal arXiv
  22. The Degree of Stiefel Manifolds, with T. Brysiewicz,
    Enumerative Combinatorics and Applications, vol. 1(3), n.S2R20, (2021) journal arXiv
  23. Border rank non-additivity for higher order tensors, with M. Christandl, M. Michałek, J. Zuiddam,
    SIAM Journal on Matrix Analysis and Applications (SIMAX), 42(2), 503–527 (2021) journal arXiv
  24. Geometric conditions for strict submultiplicativity of rank and border rank with E. Ballico, A. Bernardi, A. Oneto, E. Ventura
    Annali di Matematica Pura ed Applicata - vol. 200, 187--210 (2021) journal arXiv
  25. Towards a Geometric Approach to Strassen's Asymptotic Rank Conjecture with A. Conner, J. M. Landsberg, E. Ventura, Y. Wang
    Collectanea Mathematica - vol. 72, 63--86 (2021) journal arXiv
  26. SARS-CoV-2 transmission routes from genetic data: a Danish case study with A. Bluhm, M. Christandl, F. R. Klausen, L. Mančinska, V. Steffan, D. Stilck França, A. H. Werner
    PLoS One, 15(10), e0241405 (2020) journal bioRxiv
  27. Partially symmetric versions of Comon's problem via simultaneous rank with A. Oneto, E. Ventura
    SIAM Journal on Matrix Analysis and Applications (SIMAX) 40(4), 1453--1477 (2019) journal arXiv
  28. Explicit polynomial sequences with maximal spaces of partial derivatives and a question of K. Mulmuley with J. M. Landsberg
    Theory of Computing 15(3), 1--24, (2019) journal arXiv
  29. Border rank is not multiplicative under the tensor product with M. Christandl, A. K. Jensen
    SIAM J. Appl. Alg. Geom (SIAGA), Vol. 3 (2), 231--255 (2019) journal arXiv
  30. On the partially symmetric rank of tensor product of W-states and other symmetric tensors with E. Ballico, A. Bernardi, M. Christandl
    Rendiconti Lincei di Matematica e Applicazioni, Vol. 30, issue 1, pp. 93--124 (2019) journal arXiv
  31. A note on the cactus rank for Segre-Veronese varieties with E. Ballico, A. Bernardi
    Journal of Algebra, Vol. 526, pp. 6--11 (2019) journal arXiv
  32. Matrix Product States and the Quantum max-flow/min-cut conjectures with J. M. Landsberg, M. Walter
    Journal of Mathematical Physics, Vol. 59 (10), 102205 (2018) journal arXiv
  33. Geometric Complexity Theory and matrix powering with C. Ikenmeyer, G. Panova
    Differential Geometry and its Applications, Vol. 55, 106--127 (2017) journal arXiv
  34. Geometric Aspects of Iterated Matrix Multiplication
    Journal of Algebra, Vol. 461, pp.42--64, (2016) journal arXiv
  35. Complexity of linear circuits and geometry J. Hauenstein, C. Ikenmeyer, J. M. Landsberg
    Foundations of Computational Mathematics (FOCM), Vol. 16 (3), 599--635, (2016) journal arXiv
  36. An asymptotic bound for secant varieties of Segre varieties
    Annali dell'Università di Ferrara, Vol. 59 (2), 285-302, (2013) journal arXiv

Preprints

  1. Identifiability through special linear measurements, with F. Gesmundo, A. Grosdos, A. Uschmajew
    preprint
  2. Characteristic polynomials and eigenvalues of tensors, with F. Galuppi, E. Teixeira Turatti, L. Venturello
    preprint code
  3. Tensors with maximal symmetries, with A. Conner, J. M. Landsberg, E. Ventura,
    preprint

PhD Thesis

Master's Thesis

Notes

These notes are not intended for publication (at least, not in their current form).

  1. An example of non-semialgebraic intersection body, link, 2022
  2. Introduction to Enumerative Geometry, link, 2021
    Notes for the course taught at MPI-MiS.
  3. A short note on Induced Representations, link, 2014