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Mathematics

D-Index
61
Citations
24082
World Ranking
500
National Ranking
261

Research.com Recognitions

  • 2014 - SIAM Fellow For contributions to the theory of wavelets and harmonic analysis, and to interior-point and direct search optimization.
  • 2013 - Fellow of the American Mathematical Society
  • 2002 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Jeffrey C. Lagarias is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans a range of topics within mathematics and computer science, with particular focus on algebra, number theory, computational theory, and applied mathematics. Their work contributes to several subfields, including algebra and number theory, computational theory and mathematics, geometry and topology, artificial intelligence, and applied mathematics.

The research topics covered in their work include:

  • Analytic Number Theory Research
  • Advanced Mathematical Identities
  • Semigroups and Automata Theory
  • Computability, Logic, AI Algorithms
  • Advanced Combinatorial Mathematics
  • Algebraic Geometry and Number Theory
  • Mathematical Functions and Polynomials

Jeffrey C. Lagarias is a frequent author in the following publication venues:

  • arXiv (Cornell University)
  • The Ramanujan Journal
  • Advances in Geometry
  • Notices of the American Mathematical Society
  • Advances in Applied Mathematics

The recent papers authored by Jeffrey C. Lagarias include:

  • The 3x+1 Problem: An Overview (2021), arXiv (Cornell University)
  • The floor quotient partial order (2023), Advances in Applied Mathematics
  • Conway's Work on Iteration In memory of John Horton Conway (1937-2020) (2021), The Mathematical Intelligencer

They have also collaborated extensively with coauthors such as Wijit Yangjit, Lara Du, David Harry Richman, Theo Grundhöfer, and Würzburg Joswig.

Jeffrey C. Lagarias has been recognized with a number of honors including being named a Fellow of the Society for Industrial and Applied Mathematics (SIAM) in 2014, with citation for contributions to the theory of wavelets and harmonic analysis, and to interior-point and direct search optimization. They were also made a Fellow of the American Mathematical Society in 2013 and a Fellow of the American Association for the Advancement of Science (AAAS) in 2002.

Best Publications

  • Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions

    Jeffrey C. Lagarias;James A. Reeds;Margaret H. Wright;Paul E. Wright

  • Solving low-density subset sum problems

    J. C. Lagarias;A. M. Odlyzko

  • The 3x + 1 Problem and its Generalizations

    Jeffrey C. Lagarias

  • Two-scale difference equations I: existence and global regularity of solutions

    Ingrid Daubechies;Jeffrey C. Lagarias

  • Two-scale difference equations II. local regularity, infinite products of matrices and fractals

    Ingrid Daubechies;Jeffrey C. Lagarias

  • Sets of Matrices All Infinite Products of Which Converge

    Ingrid Daubechies;Jeffrey C. Lagarias

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

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

  • The nonlinear geometry of linear programming. I. Affine and projective scaling trajectories

    D. A. Bayer;J. C. Lagarias

  • The computational complexity of simultaneous diophantine approximation problems

    J. C. Lagarias

  • Self-affine tiles in ℝn

    Jeffrey C Lagarias;Yang Wang

  • Tiling with Polyominoes and Combinatorial Group Theory

    J. H. Conway;J. C. Lagarias

  • Tiling the line with translates of one tile

    Jeffrey C. Lagarias;Yang Wang

  • The computational complexity of knot and link problems

    Joel Hass;Jeffrey C. Lagarias;Nicholas Pippenger

  • The finiteness conjecture for the generalized spectral radius of a set of matrices

    Jeffrey C. Lagarias;Yang Wang

  • A bound for the least prime ideal in the Chebotarev Density Theorem

    J. C. Lagarias;H. L. Montgomery;Andrew Odlyzko

  • An elementary problem equivalent to the Riemann hypothesis

    Jeffrey C. Lagarias

  • Euler's constant: Euler's work and modern developments

    Jeffrey C. Lagarias

  • Integral self-affine tiles in ℝn I. Standard and nonstandard digit sets

    Jeffrey C. Lagarias;Yang Wang

  • Bounds for Lattice Polytopes Containing a Fixed Number of Interior Points in a Sublattice

    Jeffrey C. Lagarias;Günter M. Ziegler

  • Geometric models for quasicrystals I. Delone sets of finite type

    J. C. Lagarias

  • The Ultimate Challenge: The 3x+1 Problem

    Jeffrey C. Lagarias

Frequent Co-Authors

Andrew M. Odlyzko
Andrew M. Odlyzko University of Minnesota
Yang Wang
Yang Wang Hong Kong University of Science and Technology
Eric M. Rains
Eric M. Rains California Institute of Technology
Ron Graham
Ron Graham University of California, San Diego
Johan Håstad
Johan Håstad Royal Institute of Technology
Carl Pomerance
Carl Pomerance Dartmouth College
William P. Thurston
William P. Thurston Cornell University
Kannan Soundararajan
Kannan Soundararajan Stanford University
Ingrid Daubechies
Ingrid Daubechies Duke University

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