Joris van der Hoeven (born 1971) is a Dutch mathematician and computer scientist, specializing in algebraic analysis and computer algebra. He is the primary developer of GNU TeXmacs.
Joris van der Hoeven | |
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![]() From left: Xiao-Shan Gao, Joris van der Hoeven 2006 | |
Born | 1971 (age 52–53) |
Alma mater | Paris Diderot University |
Awards |
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Scientific career | |
Fields | Computer science, Mathematics |
Institutions | École Polytechnique |
Thesis | Asymptotique automatique (1997) |
Doctoral advisor | Jean-Marc Steyaert |
Education and career
editJoris 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]
Research
editHis 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 2019, van der Hoeven and his coauthor David Harvey announced their discovery of the fastest known multiplication algorithm, allowing the multiplication of -bit binary numbers in time .[5] Their paper was peer reviewed and published in the Annals of Mathematics in 2021.
Recognition
editIn 2018, he was an Invited Speaker (with Matthias Aschenbrenner and Lou van den Dries) with the talk On numbers, germs, and transseries at the International Congress of Mathematicians in Rio de Janeiro.[6][7] In 2018, the three received the Karp Prize.[8] In 2022, he received the N. G. de Bruijn prize[9]
Selected publications
editArticles
edit- van der Hoeven, Joris (1999). "Fast evaluation of holonomic functions". Theoretical Computer Science. 210: 199–215. doi:10.1016/S0304-3975(98)00102-9.
- van der Hoeven, Joris (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. S2CID 205861906. 2016
- van der Hoeven, Joris; Lecerf, Grégoire; Quintin, Guillaume (2016). "Modular SIMD arithmetic in Mathemagix". ACM Transactions on Mathematical Software. 43: 1–37. arXiv:1407.3383. doi:10.1145/2876503. S2CID 10462804. 2016
- Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2017). "Faster Polynomial Multiplication over Finite Fields" (PDF). Journal of the ACM. 63 (6): 1–23. arXiv:1407.3361. doi:10.1145/3005344. S2CID 6821515. 2017
- Harvey, David; van der Hoeven, Joris (2021). "Integer multiplication in time " (PDF). Annals of Mathematics. Second Series. 193 (2): 563–617. doi:10.4007/annals.2021.193.2.4. MR 4224716. S2CID 109934776.
Books
edit- Hoeven, J. van der (2006). Transseries and real differential algebra. Berlin: Springer. ISBN 978-3-540-35591-5. OCLC 262692832.
- Aschenbrenner, Matthias; Van den Dries, Lou; Hoeven, J. van der (2017). Asymptotic differential algebra and model theory of transseries. Princeton. ISBN 978-1-4008-8541-1. OCLC 986538411.
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References
edit- ^ Joris van der Hoeven at the Mathematics Genealogy Project
- ^ "Joris van der Hoeven". TeXmacs.
- ^ GNU Texmacs
- ^ Mathemagix
- ^ Hartnett, Kevin (11 April 2019). "Mathematicians Discover the Perfect Way to Multiply". Quanta Magazine. Retrieved 2019-05-03.
- ^ Aschenbrenner, M.; van den Dries, L.; van der Hoeven, J. (2017). "On numbers, germs, and transseries". arXiv:1711.06936 [math.LO].
- ^ "ICM Plenary and Invited Speakers". International Mathematical Union. Retrieved May 12, 2020.
- ^ "Karp Prize Recipients". Association for Symbolic Logic. Archived from the original on July 22, 2019. Retrieved January 27, 2020.
- ^ "N.G. de Bruijn Prize". 2024.