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Hendrik W. Lenstra

Hendrik W. Lenstra

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Mathematics
Netherlands
2022

D-Index & Metrics

Mathematics

D-Index
43
Citations
18253
World Ranking
1641
National Ranking
20

Research.com Recognitions

  • 2022 - Research.com Mathematics in Netherlands Leader Award
  • 2005 - Member of Academia Europaea
  • 1998 - Spinoza Prize, Dutch Research Council
  • 1996 - Fellow of the American Academy of Arts and Sciences
  • 1984 - Royal Netherlands Academy of Arts and Sciences

Overview

Hendrik W. Lenstra is affiliated with Leiden University in the Netherlands. Their research spans multiple fields, primarily focusing on mathematics and computer science. Their work addresses topics within artificial intelligence, geometry and topology, algebra and number theory, and mathematical physics.

The main topics covered in their research include:

  • Rings, Modules, and Algebras
  • Coding theory and cryptography
  • Cryptography and Data Security
  • Advanced Topology and Set Theory
  • Mathematical Dynamics and Fractals
  • Algebraic Geometry and Number Theory

Recent publications by Hendrik W. Lenstra feature contributions to various academic venues. Notable papers include:

  • Realizing orders as group rings, 2023, Journal of Algebra
  • Arakelov class groups of random number fields, 2020, arXiv (Cornell University)
  • Algebra in the real world, 2025, IAS/Park City mathematics series

Frequent co-authors in Lenstra's work include:

  • A. Silverberg
  • Daniël van Gent
  • Alex Bartel
  • Henri Johnston

The venues where Lenstra has published regularly are:

  • Journal of Algebra
  • arXiv (Cornell University)
  • IAS/Park City mathematics series

Hendrik W. Lenstra has been recognized with several awards throughout their career, including:

  • Member of Academia Europaea, 2005
  • Spinoza Prize, Dutch Research Council, 1998
  • Fellow of the American Academy of Arts and Sciences, 1996
  • Royal Netherlands Academy of Arts and Sciences, 1984

Best Publications

  • Factoring Polynomials with Rational Coefficients

    Arjen K. Lenstra;H. W. Lenstra;L. Lovasz

  • Integer Programming with a Fixed Number of Variables

    Hendrik W. Lenstra

  • Factoring integers with elliptic curves

    H.W. Lenstra

  • Profinite Groups

    Unknown

  • The Development of the Number Field Sieve

    Arjen K. Lenstra;Hendrik W. Lenstra

  • Heuristics on class groups of number fields

    H.W. Lenstra;H. Cohen

  • The number field sieve

    A. K. Lenstra;H. W. Lenstra;M. S. Manasse;J. M. Pollard

  • Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice

    J. C. Lagarias;Hendrik W. Lenstra;Claus-Peter Schnorr

  • Algorithms in number theory

    A. K. Lenstra;H. W. Lenstra

  • Factoring integers with the number field sieve

    J. P. Buhler;H. W. Lenstra;Carl Pomerance

  • Chebotarev and his density theorem

    H.W. Lenstra;H.W. Lenstra;P. Stevenhagen;P. Stevenhagen

  • Algorithms in algebraic number theory

    Hendrik W Lenstra

  • Primitive normal bases for finite fields

    H. W. Lenstra;R. J. Schoof

  • Rational functions invariant under a finite abelian group

    H.W. Lenstra

  • The factorization of the ninth Fermat number

    A. K. Lenstra;H. W. Lenstra;M. S. Manasse;J. M. Pollard

  • A rigorous time bound for factoring integers

    H. W. Lenstra;Carl Pomerance

  • Optimal normal bases

    Shuhong Gao;Hendrik W. Lenstra

  • On Artin's conjecture and Euclid's algorithm in global fields

    H.W. Lenstra

  • Finding irreducible polynomials over finite fields

    L M Adleman;H W Lenstra

  • Solving the Pell equation

    H. W. Lenstra

  • Primality testing and Jacobi sums

    H. Cohen;H. W. Lenstra

Frequent Co-Authors

Arjen K. Lenstra
Arjen K. Lenstra École Polytechnique Fédérale de Lausanne
Carl Pomerance
Carl Pomerance Dartmouth College
Mark S. Manasse
Mark S. Manasse Microsoft (United States)
Don Zagier
Don Zagier Max Planck Institute for Mathematics
László Lovász
László Lovász Eötvös Loránd University
Leonard M. Adleman
Leonard M. Adleman University of Southern California
Daniel J. Bernstein
Daniel J. Bernstein University of Illinois at Chicago
Andries E. Brouwer
Andries E. Brouwer Eindhoven University of Technology
Jeffrey Shallit
Jeffrey Shallit University of Waterloo

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