FLINT has been developed since 2007 by a large number of people.
Initially the library was started by David Harvey and William Hart.
Later maintenance of the library was taken over solely by William Hart,
who remained the project leader until 2022.

FLINT 2.0 was a clean rewrite from scratch done around 2010 by William Hart,
Sebastian Pancratz and Fredrik Johansson. Eventually, the 2.x series greatly
expanded the scope of FLINT with new features such as finite fields
(implemented by Mike Hansen) and multivariate polynomials (Daniel Schultz),
just to mention two examples.

FLINT 3.0, released in 2023, merged three spin-off projects which were
previously maintained as separate libraries: Arb and Calcium (started by
Fredrik Johansson in 2012 and 2020), and Antic (started by William Hart in
2013). The author list below includes people who contributed to those projects. 

If you believe there are names missing or if some information is incorrect,
please contact us. See also the automatically-generated list of committers on
GitHub (https://github.com/flintlib/flint/graphs/contributors).

Current maintainers
-------------------------------------------------------------------------------

Fredrik Johansson (fredrik.johansson@gmail.com) (project leader)
Albin Ahlbäck (albin.ahlback@gmail.com)

Major contributors
-------------------------------------------------------------------------------

William Hart

  Project leader 2007-2022.
  Integer and polynomial arithmetic, factorisation and
  primality testing, SSA style FFT, square root, number fields,
  general infrastructure, maintenance.

  email    goodwillhart@googlemail.com
  web      https://www.dpmms.cam.ac.uk/person/wh369
  github   wbhart
  grants   EPSRC Grant EP/G004870/1, DFG Priority programme SPP1489,
           H2020 OpenDreamKit, DFG SFB-TRR 195

Fredrik Johansson

  Matrices, polynomial and power series arithmetic, special functions,
  ball arithmetic, floating-point arithmetic, algebraic numbers, exact
  real and complex numbers, generic rings, optimisations, maintenance,
  website design.

  email    fredrik.johansson@gmail.com
  web      https://fredrikj.net
  github   fredrik-johansson
  grants   FWF Grant Y464-N18, ERC Starting Grant ANTICS 278537,
           ANR-20-CE48-0014 NuSCAP, Inria

Daniel Schultz

  Multivariate polynomials, threadpool, matrix FFT, 
  LLL improvements, CRT improvements, matrix-vector products,
  small prime FFT, many speedups and additional functions.

  web      https://github.com/tthsqe12/
  github   https://github.com/tthsqe12/
  grants   H2020 OpenDreamKit, DFG SFB-TRR 195

Sebastian Pancratz

  Polynomial arithmetic over Z, Z/nZ and Q, p-adic and q-adic
  arithmetic, including polynomials and matrices.
  Design of FLINT 2.0.

  web      http://www.pancratz.org/
  github   https://github.com/SPancratz
  grants   ERC Grant 204083

Andy Novocin

  LLL, polynomial factorisation over Z, polynomial composition.

  web      https://www.ece.udel.edu/people/faculty/andynovo/

Mike Hansen

  Finite fields (small and large F_q), polynomials/matrices over F_q,
  Finite fields with Zech logarithm representation, fast factorisation
  of polynomials over F_q, template system.

  web      https://github.com/mwhansen
  github   mwhansen
  grants   Macaulay2 developers NSF Grant 1002171

Tom Bachmann

  C++ expressions template wrapper, documentation parser.

  grants   Google Summer of Code 2013

Alex Best

  Hermite Normal Form implementation including the
  Pernet-Stein algorithm and Smith Normal Form implementation
  including the Iliopoulos and Kannen-Bachem algorithms. Numerous
  improvements to nullspace, rref and rank computations and integer
  factoring and other improvements.

  web      https://alexjbest.github.io/
  grants   Google Summer of Code 2014

David Harvey

  Fast Fourier Transform code, zn_poly for polynomial arithmetic
  over Z/nZ, mpz_poly, modular computation of Bernoulli numbers
  (bernmm), profiling and graphing code and many other parts of
  the FLINT library.

  web      https://web.maths.unsw.edu.au/~davidharvey/

Lina Kulakova

  Factorisation for polynomials over F_p for large p.

  grants   Google Summer of Code 2012

Abhinav Baid

  LLL implementation, Ogita, Rump, Oishi dot product,
  Villard algorithm for LLL certification, Schwarz-Rutishauser
  algorithms for GSO and QR-decomposition.

  grants   Google Summer of Code 2014

Kushagra Singh

  ECM and Pollard's Rho and quadratic sieve factoring algorithm
  implementations. Fast cube root and nth root code for word sized
  integers.

  grants   Google Summer of Code 2015

Pascal Molin

  Arb discrete Fourier transform (DFT), Dirichlet characters,
  Dirichlet L-functions, discrete logarithm computation,
  modular form coefficients example program.

  web      https://webusers.imj-prg.fr/~pascal.molin/
  github   pascalmolin

Jean Kieffer

  Riemann theta functions in any dimension.
  Various utility functions.

  web      https://members.loria.fr/JKieffer/
  github   j-kieffer
  grants   Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation

Curtis Bright

  Mentoring/planning of LLL implementation, numerous 
  patches including 32 bit support.

Albin Ahlbäck

  Autotools-based build system, optimised assembly for integer multiplication,
  improvements to xgcd, improved fmpz functions for small inputs, uniformly
  distributed random numbers, CI improvements, documentation,
  header file cleanup, maintenance, many general bugfixes and improvements.

  web      https://albinahlback.gitlab.io/
  github   albinahlback
  grants   ERC-2023-ADG ODELIX

Isuru Fernando

  Testing, build system maintenance, help merging the projects,
  other minor fixes. Support for CMake and MSVC builds.

  web      https://github.com/isuruf
  github   isuruf

Luca De Feo

  Finite field embeddings.

Edouard Rousseau

  Finite field embeddings.

Martin Lee

  Fast factorisation of polynomials over Z/nZ,
  faster Brent-Kung modular composition.

Marc Mezzarobba

  Fast evaluation of Legendre polynomials, work on the Arb interface
  in Sage, functionality for generic polynomials; shift equivalence,
  dispersion, and shiftless decomposition for polynomials; bug reports,
  feedback.

  web      http://marc.mezzarobba.net/
  github   mezzarobba

Tom Boothby

  Improved factoring of unsigned longs, detection of perfect powers.

Andres Goens

  F_q module and polynomials over F_q.

  grants   DFG Priority program SPP1489

Jan Tuitman

  Helped with the p-adic interface.

Jason Papadopoulos

  Block Lanczos code for quadratic sieve and
  multiprecision complex root finding code for polynomials.

Gonzalo Tornaria

  Theta function module, Montgomery multiplication
  and significant contributions to the Z[x] modular
  multiplication code.

  web      http://www.cmat.edu.uy/~tornaria/

Burcin Erocal

  Wrote the primary FLINT wrapper in the SAGE system
  (Robert Bradshaw also wrote a preliminary version of this and
  Martin Albrecht and others have also contributed to it.) Burcin
  also contributed by writing grant applications via his Lmonade
  organisation to Google.

  grants   DFG Priority programme SPP1489

Tommy Hofmann

  Howell and strong echelon form, representation matrices,
  many utility functions and other improvements and bug fixes.
  FLINT integration in Nemo.

Ashish Kedia

  Contributed an implementation of the Paterson-Stockmeyer algorithm.

Nitin Kumar

  Quadratic sieve.

  grants   Google Summer of Code 2015

Vladimir Glazachev

  APRCL primality testing, Shoup multiplication.

  grants   Google Summer of Code 2015

Daniel Roche

  Contributed randprime and nextprime functions for the fmpz
  module and some minpoly code.

Shivin Shrivastava

  Fibonacci polynomials and some Taylor shift improvements.

Ben Orchard

  MSYS2 binary packages.

Thomas DuBuisson

  Logical ops for fmpz module, patches to the build system.

Jean-Pierre Flori

  Many build system patches and Sage integration.
  Code simplifications for Gauss periods, feedback.

Frithjof Schulze

  Some fmpz functions and various patches.

Daniel Woodhouse

  Contributed an implementation of multivariate multiplication
  over Z/nZ and used this to implement a fast "saturation"
  algorithm for Laurent polynomials.

Tomasz Lechowski

  Contributed some NTL and Pari polynomial profiling code and researched
  algorithms for polynomials over finite fields.

  grants   Nuffield Foundation

Daniel Scott

  Researched lazy and relaxed algorithms of Joris van der Hoeven.

  grants   Warwick University's Undergraduate Research Scholars Scheme

David Howden

  Wrote code for computing Bernoulli numbers mod many primes,
  including fast polynomial multiplication over Z/pZ specifically
  for the task.

  grants   Warwick University's Undergraduate Research Scholars Scheme

Daniel Ellam

  Helped design a module for p-adic arithmetic for FLINT.

  grants   Warwick University's Undergraduate Research Scholars Scheme

Richard Howell-Peak

  Polynomial factorisation and irreducibility testing code
  for polynomials over Z/pZ.

  grants   Warwick University's Undergraduate Research Scholars Scheme

Peter Shrimpton

  Wrote code for a basic prime sieve, Pocklington-Lehmer, Lucas,
  Fibonacci, BSPW and n-1 primality tests and a Weiferich prime search.

  grants   The Nuffield Foundation

Brian Gladman

  MSVC support.

Dana Jacobsen

  Tested BPSW primality code up to 2^64 against Feitma's tables and
  sped up and corrected n_is_prime and n_is_probabprime. Improvements
  to n_nextprime and n_isprime.

Anubhav Srivastava

  Horizontal and vertical concatenation of matrices over Z, and an
  implementation of the Bodrato matrix squaring algorithm.

Dharak Kharod

  Matrix content.

Prabhdeep Singh Walia

  Matrix content.

Alena Sergeicheva

  Contributed a patch to the build system for
  individual file testing and also contributed numerous matrix
  concatenation.

Alex Griffing

  Integer factor refinement, sinc function, matrix trace,
  improved matrix squaring, boolean matrices, improved structured
  matrix exponentials, Cholesky decomposition, miscellaneous patches.

Vincent Delecroix

  Power sums, various polynomial improvements, speedups,
  root counting and some patches. Work on Sage interface.

  web      https://www.labri.fr/perso/vdelecro/

Aaditya Thakkar

  Strassen multiplication over Z.

Ralf Stephan

  Hermite polynomials, Laguerre polynomials, shifted Legendre
  polynomials, Gegenbauer polynomials. Improvements to inverse
  trigonometric functions.

Martin Raum

  Kronecker product.

xoviat

  CMake support.

Claus Fieker

  Norms, improved rational solving, flint_abort, qadics without
  Conway polynomials, minor improvements and bug fixes.

Srivin Srivastava

  Fibonacci polynomials, use of Taylor shift in linear
  composition, other minor contributions.

Jonathan Bober

  Original code for Dirichlet characters, C++ compatibility fixes.

Timo Hartmann

  Approximate computation of eigenvalues using the QR algorithm
  (original mpmath implementation used as a basis for the FLINT version).

Juan Arias de Reyna

  Riemann-Siegel formula and Riemann zeta zeros
  (original mpmath implementation used as a basis for the FLINT version).

Ricky Farr

  Some convenience functions.

arbguest

  Preconditioned linear algebra algorithms.

D.H.J. Polymath

  Riemann xi function, Riemann zeta zeros.

Joel Dahne

  Feedback and improvements for Legendre functions, nth derivatives for Arb
  polynomials, minmax function.

Vincent Neiger

  Many utility functions for nmod_mat and associated modules,
  dot product optimizations, modular multiplication with precomputed inverse,
  fast geometric multipoint evaluation.

  github vneiger

Julian Rüth

  Serialization support.

David Berghaus

  Modular splitting evaluation of polynomials.
  Aliased window matrix multiplication.

Matthias Gessinger

  Graeffe transforms.

Erik Postma

  Improved handling of infinities and wide intervals in Arb functions.

Mathieu Gouttenoire

  Primality testing for Gaussian integers.

  github   math-gout

Michael Abshoff

  Original build system, project infrastructure. 

Éric Schost

  Waksman matrix multiplication, fast geometric multipoint evaluation.

Andrii Yanovets

  Multivariate rational functions and Groebner bases over prime finite fields.

  github andrii302

Ricardo Buring

  Functionality for generic polynomials and matrices, series solutions of
  linear systems of ODEs with rational function coefficients.

  github rburing

Dimitri Lesnoff

  Uniform random generation over finite rings.

  github dlesnoff

Mael Hostettler

  Fast geometric multipoint evaluation.

  github maelhos

Remi Prebet

  Fast polynomial interpolation over the rationals.

  github rprebet

Hartmut Monien

  Double exponential integration example program, bug reports and feedback.


Other contributors
-------------------------------------------------------------------------------

The following people have contributed patches, bug reports, documentation
improvements, or other significant support. The list is certainly incomplete.

Timothy Abbot
Hrvoje Abraham
Martin Albrecht
Bill Allombert
Shi Bai
Robert Baillie
Oscar Benjamin
Francesco Biscani
Francois Bissey
Guillem Blanco
Janko Boehm
Andrew Booker
Robert Bradshaw
Volker Braun
Eric Bray
Ondřej Čertík
Frédéric Chapoton
Frédéric Chyzak
Craig Citro
Edgar Costa
Gianfranco Costamagna
Håvard Damm-Johnsen
Jeroen Demeyer
Didier Deshommes
Tobias Diez
David Einstein
David Lowry-Duda
Andreas Enge
Jan Englehardt
Daniel Fabian
Raphael Fourquet
Peter Frentrep
Srajan Garg
Max Goldfar
Lars Göttgens
Dan Grayson
Qingwen Guan
Fabian Gundlach
Tobias Hansen
Clemens Heuberger
Pavel Holoborodko
Max Horn
Matthew House
George Huebner
Michael Jacobson Jr
Jerry James
Jan Jancar
Marek Kaluba
Lars Kastner
Kiran Kedlaya
Alexander Kobel
Matthias Koeppe
Denis Kryskov
Dejan Latinovic
Andrea Lesavourey
Martin Lee
Leif Lionhardy
Ben Lorenz
Peter Luschny
Yuri Matiyasevich
Anton Mellit
Kate Minola
Apoorv Mishra
Jake Moss
Oleksandr Motsak
Michael Orlitzky
Michele Orru
Julien Ospald
John Palmieri
Dima Pasechnik
Giacomo Pope
Julien Puydt
Josh Rickmar
Erico Rolim Noguerira
Julian Ruth
Mahrud Sayrafi
Hans Schoenemann
Frithjof Schulze
Marcello Seri
Victor Shoup
Tomás Oliveira e Silva
Alexander Smirnov
Bob Smith
Ahmed Soliman
Jaap Spies
William Stein
Mike Stillman
Tethys Svensson
Gonzalo Tornaría
Doug Torrance
Serge Torres
Ivan Tsybulin
Debian User
Gregory Vanuxem
Antony Vennard
David Walker
Carl Witty
Michiel de Wilde
yuri@FreeBSD
kac3pro
Mgkurtz
Vinklein
Sourcekris
Lzmths
user202729

Other credits
-------------------------------------------------------------------------------

The cfarm compile farm project (https://portal.cfarm.net/) has generously
provided FLINT developers access to machines for architecture-specific testing.

Some code (notably longlong.h and clz_tab.c) has been used from the GMP library,
whose main author is Torbjorn Granlund. FLINT also includes code from the MPFR
library developed by Guillaume Hanrot, Vincent Lefèvre, Patrick Pélissier,
Philippe Théveny, Paul Zimmermann and others. 

