Joris van der Hoeven

Joris van der Hoeven (born 1971) is a Dutch mathematician and computer scientist, specializing in algebraic analysis and computer algebra.

Joris van der Hoeven received in 1997 his doctorate from Paris Diderot University (Paris 7) with thesis Asymptotique automatique.[1] He is a Directeur de recherche at the CNRS and head of the team Max Modélisation algébrique at the Laboratoire d'informatique of the École Polytechnique.[2]

His research deals with transseries (i.e. generalizations of formal power series) with applications to algebraic analysis and asymptotic solutions of nonlinear differential equations. In addition to transseries' properties as part of differential algebra and model theory, he also examines their algorithmic aspects as well as those of classical complex function theory.

He is the main developer of GNU TeXmacs (a free scientific editing platform)[3] and Mathemagix (free software, a computer algebra and analysis system).[4]

In 2018 he was an Invited Speaker (with Matthias Aschenbrenner and Lou van den Dries) with talk On numbers, germs, and transseries at the International Congress of Mathematicians in Rio de Janeiro.[5] In 2018, the three received the Karp Prize.

Selected publications


  • Van Der Hoeven, Joris (1999). "Fast evaluation of holonomic functions". Theoretical Computer Science. 210: 199–215. doi:10.1016/S0304-3975(98)00102-9.
  • Hoeven, Joris van der (2001). "Fast Evaluation of Holonomic Functions Near and in Regular Singularities". Journal of Symbolic Computation. 31 (6): 717–743. doi:10.1006/jsco.2000.0474. 2001
  • Van Der Hoeven, Joris (2002). "Relax, but Don't be Too Lazy". Journal of Symbolic Computation. 34 (6): 479–542. doi:10.1006/jsco.2002.0562. 2002
  • Van Der Hoeven, Joris (2010). "Newton's method and FFT trading". Journal of Symbolic Computation. 45 (8): 857–878. doi:10.1016/j.jsc.2010.03.005.
  • Harvey, David; Van Der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication" (PDF). Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. 2016
  • Hoeven, Joris Van Der; Lecerf, Grégoire; Quintin, Guillaume (2016). "Modular SIMD arithmetic in Mathemagix". ACM Transactions on Mathematical Software. 43: 1–37. doi:10.1145/2876503. 2016
  • Harvey, David; Hoeven, Joris Van Der; Lecerf, Grégoire (2017). "Faster Polynomial Multiplication over Finite Fields" (PDF). Journal of the ACM. 63 (6): 1–23. doi:10.1145/3005344. 2017



  1. Joris van der Hoeven at the Mathematics Genealogy Project
  2. "Joris van der Hoeven". TeXmacs.
  3. GNU Texmacs
  4. Mathemagix
  5. Aschenbrenner, M.; van der Dries, L.; van der Hoeven, J. (2017). "On numbers, germs, and transseries". arXiv:1711.06936 [math.LO].
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