For the American

United States

The United States of America is a federal constitutional republic comprising fifty states and a federal district...

 sportswriter, see Paul Zimmerman

Paul Zimmerman

Paul Lionel Zimmerman is the son of Charles S. Zimmerman and Rose Zimmerman. Zimmerman, also known to readers as "Dr. Z", is an American football sportswriter who wrote for the weekly magazine Sports Illustrated, as well as the magazine's website, SI.com. He is sometimes confused with Paul D...

. For the Hong Kong politician, see Paul Zimmerman (politician).

Paul Zimmermann is a French

French people

The French are a nation that share a common French culture and speak the French language as a mother tongue. Historically, the French population are descended from peoples of Celtic, Latin and Germanic origin, and are today a mixture of several ethnic groups...

 computational mathematician, working at INRIA.

His interests include asymptotically-fast arithmetic — he wrote a book on algorithms for computer arithmetic with Richard Brent

Richard Brent (scientist)

Richard Peirce Brent is an Australian mathematician and computer scientist, born in 1946. He holds the position of Distinguished Professor of Mathematics and Computer Science with a joint appointment in the Mathematical Sciences Institute and the College of Engineering and Computer Science at...

. He has developed some of the fastest available code for manipulating polynomials over GF(2)

GF(2)

GF is the Galois field of two elements. It is the smallest finite field.- Definition :The two elements are nearly always called 0 and 1, being the additive and multiplicative identities, respectively...

, and for calculating hypergeometric constants to billions of decimal places. He is presently associated with the CARAMEL project to develop efficient arithmetic, in a general context and in particular in the context of algebraic curve

Algebraic curve

In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with circles and other conic sections.- Plane algebraic curves...

s of small genus

Genus (mathematics)

In mathematics, genus has a few different, but closely related, meanings:-Orientable surface:The genus of a connected, orientable surface is an integer representing the maximum number of cuttings along non-intersecting closed simple curves without rendering the resultant manifold disconnected. It...

; arithmetic on polynomials of very large degree turns out to be useful in algorithm

Algorithm

In mathematics and computer science, an algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function. Algorithms are used for calculation, data processing, and automated reasoning...

s for point-counting on such curves.

He has been an active developer of the GMP-ECM implementation of the elliptic curve

Elliptic curve

In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O. An elliptic curve is in fact an abelian variety — that is, it has a multiplication defined algebraically with respect to which it is a group — and O serves as the identity...

 method for integer factorisation and of MPFR

MPFR

GNU MPFR is a portable C library for arbitrary-precision binary floating-point computation with correct rounding, based on GNU Multi-Precision Library. The computation is both efficient and has a well-defined semantics. It copies the ideas from the ANSI/IEEE-754 standard for fixed-precision...

, an arbitrary precision floating point library with correct rounding.

Zimmermann's Erdős number

Erdos number

The Erdős number describes the "collaborative distance" between a person and mathematician Paul Erdős, as measured by authorship of mathematical papers.The same principle has been proposed for other eminent persons in other fields.- Overview :...

is 2.

External links

• http://www.loria.fr/~zimmerma/