Paul Zimmermann (mathematician)

Paul Zimmermann (born 13 November 1964) is a French computational mathematician, working at INRIA.

His interests include asymptotically fast arithmetic—he wrote a book[1] on algorithms for computer arithmetic with Richard Brent. He has developed some of the fastest available code for manipulating polynomials over GF(2),[2] and for calculating hypergeometric constants to billions of decimal places.[3] He is associated with the CARAMEL project to develop efficient arithmetic, in a general context and in particular in the context of algebraic curves of small genus; arithmetic on polynomials of very large degree turns out to be useful in algorithms for point-counting on such curves. He is also interested in computational number theory. In particular, he has contributed to some of the record computations in integer factorisation [4] and discrete logarithm.[5]

He has been an active developer of the GMP-ECM implementation of the elliptic curve method for integer factorisation and of MPFR, an arbitrary precision floating point library with correct rounding. He is also a coauthor of the CADO-NFS software tool, which was used to factor RSA-240 in record time.[6]

In a 2014 blog post,[7] Zimmermann said that he would refuse invitations to review papers submitted to gold (author-pays) open access and hybrid open access journals, because he disagrees with the publication mechanism.


  1. Zimmermann, Paul; Brent, Richard Peirce. "Modern Computer Arithmetic".
  2. Zimmermann, Paul; Brent, Richard Peirce; Gaudry, Pierrick; Thomé, Emmanuel (2008). Poorten, Alfred J.; Stein, Andreas (eds.). "Faster Multiplication in GF(2)[x]". Proceedings of ANTS-VIII. Lecture Notes in Computer Science. 5011: 153–166. doi:10.1007/978-3-540-79456-1. ISBN 978-3-540-79455-4.
  3. Zimmermann, Paul; Cheng, Howard; Hanrot, Guillaume; Thomé, Emmanuel; Zima, Eugene (2007). Brown, C. W. (ed.). Time- and Space-Efficient Evaluation of Some Hypergeometric Constants. Proceedings of International Symposium on Symbolic and Algebraic Computation (ISSAC) 2007. pp. 85–91.
  4. Cryptology ePrint Archive: Report 2010/006
  5. Cryptology ePrint Archive: Report 2013/197
  7. Zimmermann, Paul. "Why I refuse to review papers submitted to open-access and hybrid journals?".

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