Arthur Bik's Webpage

Personal picture of Arthur Bik

Contact Information

Max Planck Institute for Mathematics in the Sciences

Inselstraße 22

04103 Leipzig

Germany


Office: G3 01

E-mail: arthur.bik@mis.mpg.de

I am a Postdoc.Mobility fellow and a guest at the Nonlinear Algebra group of Bernd Sturmfels at the Max Planck Institute for Mathematics in the Sciences in Leipzig, where I previously was a postdoctoral reseacher. Before that, I was a PhD student at the University of Bern supervised by Jan Draisma, I obtained my MSc from Leiden University supervised by Ronald van Luijk and Roland van der Veen and I obtained my BSc from Delft University of Technology supervised by Ronald van Luijk.

Teaching

Preprint

  1. Arthur Bik, Jan Draisma, Rob H. Eggermont and Andrew Snowden: The geometry of polynomial representations.

Publications

  1. Arthur Bik and Henrik Eisenmann: The Geometries of Jordan nets and Jordan webs, Ann. di Mat. Pura ed Appl. (2022). arXiv
       Note: The code used for the computations in Section 5 is on MathRepo.
  2. Arthur Bik, Alessandro Danelon, Jan Draisma and Rob H. Eggermont: Universality of high-strength tensors, Vietnam J. Math. 50 (2022), pp. 557-580. arXiv
  3. Edoardo Ballico, Arthur Bik, Alessandro Oneto and Emanuele Ventura: Strength and slice rank of forms are generically equal, Israel J. Math. (2021), to appear. arXiv
  4. Edoardo Ballico, Arthur Bik, Alessandro Oneto and Emanuele Ventura: The set of forms with bounded strength is not closed, Comptes Rendus. Mathématique 360 (2022), pp. 371-380. arXiv
  5. Arthur Bik, Alessandro Danelon and Jan Draisma: Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum, Math. Ann. (2022). arXiv
  6. Arthur Bik, Henrik Eisenmann and Bernd Sturmfels: Jordan Algebras of Symmetric Matrices, Le Matematiche 76 (2021), no 2, pp. 337-353. arXiv
       Note: See here for code used in computations in the paper.
  7. Arthur Bik and Alessandro Oneto: On the strength of general polynomials, Linear Multilinear Algebra (2021). arXiv
       Note: We verified the final claim in the article using SAGE and NumPy. See here for the used code.
  8. Arthur Bik, Adam Czapliński and Markus Wageringel: Semi-algebraic properties of Minkowski sums of a twisted cubic segment, Collect. Math. 72 (2021), no. 1, pp. 87–107. arXiv
       Note: You can find models of some of these sets here.
  9. Arthur Bik, Jan Draisma, Alessandro Oneto and Emanuele Ventura: The monic rank, Math. Comput. 89 (2020), no. 325, pp. 2481–2505. arXiv
  10. Arthur Bik, Jan Draisma and Rob H. Eggermont: Polynomials and tensors of bounded strength, Commun. Contemp. Math. 21 (2019), no. 7, 1850062 (24 pages). arXiv
       Note: See these errata.
  11. Arthur Bik: Noetherianity up to conjugation of locally diagonal inverse limits, Linear Algebra Appl. 582 (2019), pp. 237–290. arXiv
       Note: See this erratum.
  12. Arthur Bik and Jan Draisma: A note on ED degrees of group-stable subvarieties in polar representations, Israel J. Math. 228 (2018), no. 1, pp. 353–377. arXiv

Theses

  • You can download my PhD thesis here.
  • You can download my MSc thesis here.
  • You can download my BSc thesis here.

Awards and Fellowship

Talks

Organized Events

Assisted Courses

Travels

Links