World's Best Scientists 2026 revealed!
Award Badge
Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
116
Citations
73154
World Ranking
20
National Ranking
15

Physics

D-Index
115
Citations
77570
World Ranking
966
National Ranking
513

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2014 - Member of Academia Europaea
  • 2013 - Fellow of the American Mathematical Society
  • 2013 - Fellow of the Royal Society, United Kingdom
  • 2003 - Henri Poincaré Prize, International Association of Mathematical Physics
  • 2001 - Rolf Schock Prize for Mathematics
  • 1994 - Fellow of the American Academy of Arts and Sciences
  • 1994 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 1992 - Max Planck Medal, German Physical Society
  • 1984 - Member of the National Academy of Sciences
  • 1978 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
  • 1972 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Elliott H. Lieb is a researcher affiliated with Princeton University in the United States. Their work spans the disciplines of Mathematics and Physics and Astronomy, with a total of 24 publications in Mathematics and 18 in Physics and Astronomy. Their research includes a focus on several subfields, notably Applied Mathematics, Atomic and Molecular Physics and Optics, Mathematical Physics, Statistical and Nonlinear Physics, and Nuclear and High Energy Physics.

The main topics covered by their work include:

  • Nonlinear Partial Differential Equations
  • Advanced Harmonic Analysis Research
  • Spectral Theory in Mathematical Physics
  • Cold Atom Physics and Bose-Einstein Condensates
  • Advanced Chemical Physics Studies
  • Nuclear physics research studies
  • Quantum, superfluid, helium dynamics

Their recent publications include the following papers:

  • "Improved Lieb-Oxford bound on the indirect and exchange energies," 2022, Letters in Mathematical Physics
  • "Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy," 2021, Physical review. A/Physical review, A
  • "Improved Lieb-Oxford bound on the indirect and exchange energies," 2022, arXiv (Cornell University)
  • "On the Convolution Inequality f ≥ f ⋆ f," 2020, International Mathematics Research Notices
  • "On the extension of the FKG inequality to n functions," 2022, Journal of Mathematical Physics

Their frequent co-authors consist of:

  • Eric A. Carlen
  • Ian Jauslin
  • Mathieu Lewin
  • Robert Seiringer
  • Rupert L. Frank

Publications are often found in the following venues:

  • arXiv (Cornell University)
  • Physical review. A/Physical review, A
  • Journal of Mathematical Physics
  • Notices of the American Mathematical Society
  • Letters in Mathematical Physics

Throughout their career, the researcher has received multiple distinctions, including:

  • Member of Academia Europaea, 2014
  • Fellow of the American Mathematical Society, 2013
  • Fellow of the Royal Society, United Kingdom, 2013
  • Henri Poincaré Prize, International Association of Mathematical Physics, 2003
  • Rolf Schock Prize for Mathematics, 2001
  • Fellow of the American Academy of Arts and Sciences, 1994
  • Fellow of the American Association for the Advancement of Science (AAAS), 1994
  • Max Planck Medal, German Physical Society, 1992
  • Member of the National Academy of Sciences, 1984
  • Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics, 1978
  • Fellow of John Simon Guggenheim Memorial Foundation, 1972

Best Publications

  • Two soluble models of an antiferromagnetic chain

    Elliott H. Lieb;Theodore Schultz;Daniel Mattis

  • EXACT ANALYSIS OF AN INTERACTING BOSE GAS. I. THE GENERAL SOLUTION AND THE GROUND STATE

    Elliott H. Lieb;Werner Liniger

  • Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension

    Elliott H. Lieb;F. Y. Wu

  • A relation between pointwise convergence of functions and convergence of functionals

    Haïm Brezis;Elliott Lieb;Elliott Lieb

  • Analysis, Second edition

    Elliott Lieb;Michael Loss

  • Two Theorems on the Hubbard Model

    Elliott H. Lieb

  • Rigorous Results on Valence-Bond Ground States in Antiferromagnets

    Ian Affleck;Tom Kennedy;Elliott H. Lieb;Hal Tasaki

  • Valence Bond Ground States in Isotropic Quantum Antiferromagnets

    Ian Affleck;Tom Kennedy;Elliott H. Lieb;Hal Tasaki

  • The Finite Group Velocity of Quantum Spin Systems

    Elliott H. Lieb;Derek W. Robinson

  • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

    Elliott H. Lieb

  • Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem

    H. N. V. Temperley;Elliott H Lieb

  • Density Functionals for Coulomb Systems

    Elliott H. Lieb

  • Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

    Elliott H. Lieb

  • Proof of the strong subadditivity of quantum‐mechanical entropy

    Elliott H. Lieb;Mary Beth Ruskai

  • On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

    Herm Jan Brascamp;Elliott H. Lieb

  • On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser model

    Klaus Hepp;Elliott H Lieb

  • Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum

    Elliott H. Lieb

  • Two-Dimensional Ising Model as a Soluble Problem of Many Fermions

    T. D. Schultz;D. C. Mattis;E. H. Lieb

  • Thomas-fermi and related theories of atoms and molecules

    Elliott H. Lieb

  • Exact Solution of a Many-Fermion System and Its Associated Boson Field

    Daniel C. Mattis;Elliott H. Lieb

  • PHYSICAL REVIEW LETTERS

    Elliott H. Lieb

Frequent Co-Authors

Rupert L. Frank
Rupert L. Frank California Institute of Technology
Eric A. Carlen
Eric A. Carlen Rutgers, The State University of New Jersey
Michael Loss
Michael Loss Georgia Institute of Technology
Jan Philip Solovej
Jan Philip Solovej University of Copenhagen
Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
Barry Simon
Barry Simon California Institute of Technology
Michael Aizenman
Michael Aizenman Princeton University
Horng-Tzer Yau
Horng-Tzer Yau Harvard University
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Ian Affleck
Ian Affleck University of British Columbia

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics in the USA, expanding into related fields can open many career doors. One popular direction is digital marketing, where analytical skills are valued. Pursuing an ms in digital marketing degree cost USA can provide specialized knowledge while maintaining a focus on data-driven decision making.

Business leadership and management also appeal to many mathematics graduates. There are several options for advancement, including the best 1 year mba programs which offer intensive study without disrupting career progress. Additionally, some learners prefer flexibility; for them, online mba programs that accept transfer credits can be an ideal choice to build on previous coursework.

Another rapidly growing field linked to math skills is data science and analytics. Earning a data analytics master's degree provides advanced skills to interpret complex datasets and guide strategic decisions in business, healthcare, and technology.

Choosing the right related degree or career pathway depends on individual goals, balancing cost, program duration, and flexibility. Exploring these options can help mathematics students maximize their potential in the competitive U.S. job market.

Best Scientists Citing Elliott H. Lieb

Trending Scientists

Recently Published Articles