@article{BerardiniCouvreurLecerf2022,
  author =	 {E. Berardini and A. Couvreur and G. Lecerf},
  title = 	 {A proof of the {B}rill--{N}oether method from scratch},
  journal =      {To appear in ACM Commun. Comput. Algebra},
  year =         {2022},
  note =         {\linkauthor{https://hal.archives-ouvertes.fr/hal-03762780}}
}

@article{AbelardCouvreurLecerf2022,
  author =	 {S. Abelard and A. Couvreur and G. Lecerf},
  title = 	 {Efficient computation of {R}iemann--{R}och spaces for plane curves with ordinary singularities},
  journal =      {Applicable Algebra in Engineering, Communication and Computing},
  year =         {2022},
  note =         {\linkpublisher{https://doi.org/10.1007/s00200-022-00588-x}, \linkauthor{https://hal.archives-ouvertes.fr/hal-03110135}}
}

@article{vdH:genamp,
  author =	 {Hoeven, J. van der and Lecerf, G.},
  title = 	 {Amortized multi-point evaluation of multivariate polynomials},
  journal =      {Journal of Complexity},
  year =         {2022},
  volume =       {74},
  pages =        {101693},  
  note =         {\linkpublisher{https://doi.org/10.1016/j.jco.2022.101693}, \linkauthor{https://hal.archives-ouvertes.fr/hal-03503021}}
}

@article{AbelardBerardiniCouvreurLecerf2022,
  author =	 {S. Abelard and E. Berardini and A. Couvreur and G. Lecerf},
  title = 	 {Computing {R}iemann--{R}och spaces via {P}uiseux expansions},
  journal =      {Journal of Complexity},
  year =         {2022},
  volume =       {73},
  pages =        {101666},
  note =         {\linkpublisher{https://doi.org/10.1016/j.jco.2022.101666}, \linkauthor{https://hal.archives-ouvertes.fr/hal-03281757}}
}

@article{vdH:fffact,
  author = {Hoeven, J. van der and Lecerf, G.},
  title = {Univariate polynomial factorization over finite fields with large extension degree},
  journal = {Applicable Algebra in Engineering, Communication and Computing},
  year = {2022},
  note = {\linkpublisher{https://doi.org/10.1007/s00200-021-00536-1}, \linkauthor{https://hal.archives-ouvertes.fr/hal-03019847}}
}

@article{vdH:amp,
  author =	 {Hoeven, J. van der and Lecerf, G.},
  title = 	 {Fast amortized multi-point evaluation},
  journal =      {Journal of Complexity},
  year =         {2021},
  volume =       {67},
  pages =        {101574},
  note =         {\linkpublisher{https://doi.org/10.1016/j.jco.2021.101574}, \linkauthor{https://hal.archives-ouvertes.fr/hal-02508529}}
}

@article{vdH:sparserat,
  author =	 {Hoeven, J. van der and Lecerf, G.},
  title = 	 {On sparse interpolation of rational functions and gcds},
  year = {2021},
  volume = {55},
  number = {1},
  journal = {ACM Commun. Comput. Algebra},
  pages = {1--12},
  note = {\linkpublisher{https://doi.org/10.1145/3466895.3466896}, \linkauthor{https://hal.archives-ouvertes.fr/hal-02999695}}
}

@article{vdH:zcomp,
  author = {Hoeven, J. van der and Lecerf, G.},
  title = {Ultimate Complexity for Numerical Algorithms},
  year = {2020},
  volume = {54},
  number = {1},
  journal = {ACM Commun. Comput. Algebra},
  pages = {1--13},
  note = {\linkpublisher{https://dx.doi.org/10.1145/3419048.3419049}, \linkauthor{https://hal.archives-ouvertes.fr/hal-03013416}}
}

@article{vdH:resultant,
  author =	 {Hoeven, J. van der and Lecerf, G.},
  title = 	 {Fast computation of generic bivariate resultants},
  journal =      {Journal of Complexity},
  volume =       {62},
  pages =        {101499},
  year =         {2021},
  note =         {\linkpublisher{https://doi.org/10.1016/j.jco.2020.101499}, \linkauthor{https://hal.archives-ouvertes.fr/hal-02080426}}
}

@article{vdH:direval,
  author =	 {Hoeven, J. van der and Lecerf, G.},
  title = 	 {Directed evaluation},
  journal =      {Journal of Complexity},
  pages =        {101498},
  volume =       {60},
  year =         {2020},
  note =         {\linkpublisher{https://doi.org/10.1016/j.jco.2020.101498}, \linkauthor{https://hal.archives-ouvertes.fr/hal-01966428}}
}

@article{vdH:polexp,
  author =	 {Hoeven, J. van der and Lecerf, G.},
  title = 	 {On the complexity exponent of polynomial system solving},
  journal =      {Found. Comput. Math.},
  year =         {2021},
  volume =       {21},
  pages =        {1--57},
  note =         {\linkpublisher{https://doi.org/10.1007/s10208-020-09453-0}, \linkauthor{http://hal.archives-ouvertes.fr/hal-01848572}}
}

@article{vdH:kucomp,
  author =	 {Hoeven, J. van der and Lecerf, G.},
  title = 	 {Fast multivariate multi-point evaluation revisited},
  journal =      {Journal of Complexity},
  volume =       56,
  pages =        {101405},
  year =         {2020},
  note =         {\linkpublisher{https://doi.org/10.1016/j.jco.2019.04.001}, \linkauthor{http://hal.archives-ouvertes.fr/hal-01848571}}
}


@article{HoLe2019:tower,
  author =       {Hoeven, J. van der and Lecerf, G.},
  title =        {Accelerated tower arithmetic},
  journal =      {Journal of Complexity},
  volume =       55,
  pages =        {101402},
  year =         {2019},
  note =         {\linkpublisher{https://doi.org/10.1016/j.jco.2019.03.002}, \linkauthor{https://hal.archives-ouvertes.fr/hal-01788403}}
}

@article{HoLe2018,
  author =       {Hoeven, J. van der and Lecerf, G.},
  title =        {Modular composition via factorization},
  journal =      {Journal of Complexity},
  volume =       48,
  pages =        {36--68},
  year =         {2018},
  note =         {\linkpublisher{https://doi.org/10.1016/j.jco.2018.05.002}, \linkauthor{http://hal.archives-ouvertes.fr/hal-01457074}}
}

@article{Lecerf2019,
  author =       {G. Lecerf},
  title =        {On the complexity of the {L}ickteig--{R}oy subresultant algorithm},
  journal =      {J.~Symbolic Comput.},
  year =         2019,
  volume =       92,
  pages =        {243--268},
  note =         {\linkpublisher{https://doi.org/10.1016/j.jsc.2018.04.017}, \linkauthor{https://hal.archives-ouvertes.fr/hal-01450869}}
}

@article{HarveyHoevenLecerf2014b,
    title = {Faster polynomial multiplication over finite fields},
    author = {Harvey, David and Hoeven, Joris van der and Lecerf, Gr{\'e}goire},
    journal = {Journal of the ACM},
    year = {2017},
    volume = 63,
    number = 6,
    note = {Article~52. \linkpublisher{https://doi.org/10.1145/3005344}, \linkauthor{http://arxiv.org/abs/1407.3361}},
}

@article{HarveyHoevenLecerf2016a,
    title = {Even faster integer multiplication},
    author = {Harvey, David and Hoeven, Joris van der and Lecerf, Gr{\'e}goire},
    journal = {Journal of Complexity},
    volume = 36,
    pages = {1--30},
    year = {2016},
    note = {\linkpublisher{http://dx.doi.org/10.1016/j.jco.2016.03.001}, \linkauthor{http://arxiv.org/abs/1407.3360}}
}

@article{LecerfSaade2016,
  title = {A short survey on {K}antorovich-like theorems
           for {N}ewton's method},
  author = {Lecerf, Gr{\'e}goire and Joelle Saad{\'e}},
  year = 2016,
  journal = {ACM Commun. Comput. Algebra},
  volume = 50,
  number = 1,
  pages = {1--11},
  note = {\linkauthor{http://hal.archives-ouvertes.fr/hal-01196890}}
}

@article{HoevenLecerfQuintin2016,
    title = {Modular {SIMD} arithmetic in {Mathemagix}},
    author = {Hoeven, Joris van der and Lecerf, Gr{\'e}goire and Quintin, Guillaume},
    year = {2016},
    journal = {ACM Transactions on Mathematical Software},
    volume = 43,
    number = 1,
    note = {Article~5. \linkpublisher{http://dx.doi.org/10.1145/2876503}, \linkauthor{http://hal.archives-ouvertes.fr/hal-01022383}},
}

@article{GrenetHoevenLecerf2016,
    title = {Deterministic root finding over finite fields using {G}raeffe transforms},
    author = {Grenet, Bruno and Hoeven, Joris van der
              and Lecerf, Gr{\'e}goire},
    journal = {Applicable Algebra in Engineering, Communication and Computing},
    volume = 27,
    number = 3,
    pages = {237--257},
    year = {2016},
    note = {\linkpublisher{http://dx.doi.org/10.1007/s00200-015-0280-5}, \linkauthor{http://hal.archives-ouvertes.fr/hal-01104251}.}
}

@article{HoevenLecerf2014,
    title = {Sparse polynomial interpolation in practice},
    author = {Hoeven, Joris van der and Lecerf, Gr{\'e}goire},
    journal = {ACM Commun. Comput. Algebra},
    volume = 48,
    number = 4,
    year = {2014},
    note = {In section "ISSAC 2014 Software Presentations. \linkauthor{http://hal.archives-ouvertes.fr/hal-00980366}.},
}

@Article{BaGiHeLeMaSo2013,
  author = 	 {B. Bank and M. Giusti and J. Heintz and G. Lecerf and G. Matera and P. Solern\'{o}},
  title = 	 {Degeneracy loci and polynomial equation solving},
  journal = {Foundations of Computational Mathematics},
  volume = 15,
  number = 1,
  pages = {159--184},
  note = 	 {\linkauthor{http://arxiv.org/abs/1306.3390}},
  year = 	 2015
}

@Article{HoGrBuLePoRa2013,
  author = 	 {van der Hoeven, J. and A. Grozin and M. Gubinelli and
                  G. Lecerf and F. Poulain and D. Raux},
  title = 	 {{GNU} {\TeX macs}: a scientific editing platform},
  journal =      {ACM SIGSAM Communications in Computer Algebra},
  year =         {2013},
  volume =       {47},
  number =       {2},
  pages =        {59--62},
  note = {\linkauthor{http://hal.archives-ouvertes.fr/hal-00687490}}
}

@article{BeLeQu2013,
  author = {Berthomieu, J. and Lecerf, G. and Quintin, G.},
  title = {Polynomial root finding over local rings and application to error correcting codes},
  journal = {Applicable Algebra in Engineering, Communication and Computing},
  year = {2013},
  volume = {24},
  number = {6},
  pages = {413--443},
  note = {\linkpublisher{http://dx.doi.org/10.1007/s00200-013-0200-5}, \linkauthor{http://hal.inria.fr/hal-00642075}}
}

@article{HoevenLecerf2013,
   author = {van der Hoeven, J. and Lecerf, G.},
   title = {On the bit-complexity of sparse polynomial and series multiplication},
   journal = {J. Symbolic Comput.},
   volume = {50},
   pages = {227--254},
   year = {2013},
   note = {\linkpublisher{http://dx.doi.org/10.1016/j.jsc.2012.06.004}, \linkauthor{http://hal.archives-ouvertes.fr/hal-00476223}}
}

@article{BeLe2012,
  author =       {Berthomieu, J. and Lecerf, G.},
  title =        {Reduction of bivariate polynomials from convex-dense to dense, with application to factorizations},
  journal =      {Math. Comp.},
  volume =       81,
  number =       279,
  year =         2012,
  note =         {\linkpublisher{http://www.ams.org/journals/mcom/2012-81-279/S0025-5718-2011-02562-7}, \linkauthor{http://hal.archives-ouvertes.fr/hal-00526659}}
}

@Article{HoLeMoTrBeDiMa2011,
  author =       {J. van der Hoeven and G. Lecerf and B. Mourain and Ph. Tr{\'e}buchet and J. Berthomieu and D. Diatta and A. Mantzaflaris},
  title =        {Mathemagix, the quest of modularity and efficiency for symbolic and certified numeric computation},
  journal =      {ACM SIGSAM Communications in Computer Algebra},
  year =         2011,
  volume =       177,
  number =       3,
  note =         {In Section "ISSAC 2011 Software Demonstrations", edited by M. Stillman, p.~166--188. \linkauthor{http://www.texmacs.org/joris/issac11/issac11.pdf}}
}

@article{BeHoLe2011,
  author =       {Berthomieu, J. and Hoeven, J. van der and Lecerf, G.},
  title =        {Relaxed algorithms for p-adic numbers},
  journal =      {Journal de th\'eorie des nombres de {Bordeaux}},
  volume =       23,
  number =       3,
  year =         {2011},
  note =         {\linkpublisher{https://doi.org/10.5802/jtnb.777}, \linkauthor{http://hal.archives-ouvertes.fr/hal-00486680/}}
}

@article{Lecerf2010,
    author      = {G. Lecerf},
    title       = {New Recombination Algorithms for Bivariate Polynomial Factorization Based on {H}ensel Lifting},
    journal     = {Applicable Algebra in Engineering, Communication and Computing},
    year        = {2010},
    volume = 21,
    number = 2,
    pages= {151--176},
    note        = {\linkpublisher{http://dx.doi.org/10.1007/s00200-010-0121-5}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/Lecerf:2007:nrabpfbhl.pdf}}
}

@article{Lecerf2008,
    author      = {G. Lecerf},
    title       = {Fast Separable Factorization and Applications},
    journal     = {Applicable Algebra in Engineering, Communication and Computing},
    volume      = 19,
    number      = 2,
    pages       = {135--160},
    year        = 2008,
    note        = {\linkpublisher{http://dx.doi.org/10.1007/s00200-008-0062-4}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/Lecerf:2007:fsfa.pdf}}
}

@article{DuLe2006,
  author =       {C. Durvye and G. Lecerf},
  title =        {A Concise Proof of the {K}ronecker Polynomial System Solver from Scratch},
  volume =       26,
  number =       2,
  year =         2007,
  journal =      {Expositiones Mathematicae},
  note =         {\linkpublisher{http://dx.doi.org/10.1016/j.exmath.2007.07.001 }, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/DuLe:2006:cpkpsss.pdf}}
}

@article{ChLe2007,
  author = {G. Chèze and G. Lecerf},
  title = {Lifting and Recombination Techniques for Absolute Factorization},
  journal = {Journal of Complexity},
  volume = {23},
  number = {3},
  pages = {380--420},
  year = {2007},
  note = {\linkpublisher{http://dx.doi.org/10.1016/j.jco.2007.01.008}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/ChLe:2005:lrtaf.pdf}}
}

@article{Lecerf2007,
  author =       {G. Lecerf},
  title =        {Improved Dense Multivariate Polynomial Factorization Algorithms},
  journal = {Journal of Symbolic Computation},
  volume = 42,
  number = 4,
  pages = {477--494},
  year = 2007,
  note = {\linkpublisher{http://dx.doi.org/10.1016/j.jsc.2007.01.003}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/Lecerf:2005:idmpfa.pdf}}
}

@article{GiLeSaYa2007,
  author =       {M. Giusti and G. Lecerf and B. Salvy and J.-C. Yakoubsohn},
  title =        {On Location and Approximation of Clusters of Zeros: Case of Embedding Dimension One},
  journal = {Foundations of Computational Mathematics},
  VOLUME = {7},
  YEAR = {2007},
  NUMBER = {1},
  PAGES = {1--49},
  note =  {\linkpublisher{http://dx.doi.org/10.1007/s10208-004-0159-5}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/GiLeSaYa:2004:laczcedo.pdf}}
}

@article{Lecerf2006,
  author =       {G. Lecerf},
  title =        {Sharp Precision in {H}ensel Lifting for Bivariate Polynomial Factorization},
  journal =      {Mathematics of Computation},
  volume =       75,
  year =         2006,
  pages =        {921-933},
  note =         {\linkpublisher{http://dx.doi.org/10.1090/S0025-5718-06-01810-2}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/Lecerf:2004:bivfact.pdf}},
}

@article{GiLeSaYa2005,
  author =       {M. Giusti and G. Lecerf and B. Salvy and J.-C. Yakoubsohn},
  title =        {On Location and Approximation of Clusters of Zeros of Analytic Functions},
  journal = {Foundations of Computational Mathematics},
  Number = {3},
  Pages = {257--311},
  Volume = {5},
  Year = {2005}, 
  note =  {\linkpublisher{http://dx.doi.org/10.1007/s10208-004-0144-z}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/GiLeSaYa:2004:laczaf.pdf}}
}

@Article{LeSc2001,
  author =       {G. Lecerf and É. Schost},
  title =        {Fast Multivariate Power Series Multiplication in Characteristic Zero},
journal =        {SADIO Electronic Journal on Informatics and Operations Research},
  volume =       5,
  number =       1,
  month =        {September},
  year =         2003,
  pages =        {1--10},
  note =         {\linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/LeSc:2001:fmsp.pdf}},
}

@Article{Lecerf2003,
  author =       {G. Lecerf},
  title =        {Computing the Equidimensional Decomposition of an Algebraic
Closed Set by means of Lifting Fibers},
  journal =      {Journal of Complexity},
  VOLUME =       {19},
  YEAR =         {2003},
  NUMBER =       {4},
  PAGES =        {564--596},
  note =         {\linkpublisher{http://dx.doi.org/10.1016/S0885-064X(03)00031-1}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/Lecerf:2002:equidec.pdf}}
}

@Article{Lecerf2001,
  author =       {G. Lecerf},
  title =        {Quadratic {N}ewton Iteration for Systems with Multiplicity},
  journal =      {Foundations of Computational Mathematics},
  year =         2002,
  volume =       2,
  number =       3,
  pages =        {247-293},
  note =          {\linkpublisher{http://dx.doi.org/10.1007/s102080010026}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/Lecerf:2001:fda.pdf}}
}

@Article{GiLeSa2001,
  author =       {M. Giusti and G. Lecerf and B. Salvy},
  title =        {A {G}röbner Free Alternative for Polynomial System Solving},
  journal =      {Journal of Complexity},
  year =         2001,
  volume =       17,
  number =       1,
  pages =        {154--211},
  note =         {\linkpublisher{http://dx.doi.org/10.1006/jcom.2000.0571}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/GiLeSa:1999:kro-focm99.pdf}}
}


@article {GiHaLeMaSa2000,
    AUTHOR = {Giusti, M. and H{\"a}gele, K. and Lecerf, G.
              and Marchand, J. and Salvy, B.},
     TITLE = {The projective {N}oether {M}aple package: computing the
              dimension of a projective variety},
   JOURNAL = {J. Symbolic Comput.},
  FJOURNAL = {Journal of Symbolic Computation},
    VOLUME = {30},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {291--307},
     note  = {\linkpublisher{http://dx.doi.org/10.1006/jsco.2000.0369}, \linkauthor{http://www.lix.polytechnique.fr/\~{}lecerf/publications/GiHaLeMaSa:1998:pnp.pdf}}
}