World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
11741
World Ranking
1656
National Ranking
714

Research.com Recognitions

  • 2013 - Fellow of the American Academy of Arts and Sciences
  • 1995 - Member of the National Academy of Sciences

Overview

H. Blaine Lawson is affiliated with Stony Brook University in the United States and has an extensive publication record primarily in the field of Mathematics.

Lawson's recent papers include:

  • "The Inhomogeneous Dirichlet problem for natural operators on manifolds", 2020, Annales de l'institut Fourier
  • "Determinant majorization and the work of Guo-Phong-Tong and Abja-OLive", 2023, Calculus of Variations and Partial Differential Equations
  • "Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and PDEs", 2020, arXiv (Cornell University)
  • "Spinh Manifolds", 2023, Symmetry Integrability and Geometry Methods and Applications
  • "Pseudoconvexity for the special Lagrangian potential equation", 2020, Calculus of Variations and Partial Differential Equations

Frequent co-authors collaborating with Lawson are:

  • F. Reese Harvey
  • Kevin R. Payne
  • M. Gromov
  • Marco Cirant
  • Robert L. Bryant

The primary venues where Lawson publishes include:

  • arXiv (Cornell University)
  • Calculus of Variations and Partial Differential Equations
  • Annales de l'institut Fourier
  • Symmetry Integrability and Geometry Methods and Applications
  • Notices of the American Mathematical Society

Lawson's work covers a variety of mathematical subfields, with focus areas including:

  • Applied Mathematics
  • Geometry and Topology
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Astronomy and Astrophysics

The main topics addressed in Lawson's research publications are:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Nonlinear Partial Differential Equations
  • Holomorphic and Operator Theory
  • Matrix Theory and Algorithms
  • Advanced Topics in Algebra
  • Algebraic and Geometric Analysis

Lawson has published multiple books with World Scientific and Princeton University Press, including titles titled "Perspectives in Scalar Curvature" (2021, 2022) and "Comparison Principles for General Potential Theories and PDEs" (2023).

Awards received by Lawson include election as a Fellow of the American Academy of Arts and Sciences in 2013 and membership in the National Academy of Sciences since 1995.

Best Publications

  • Calibrated geometries

    Unknown

  • Positive scalar curvature and the Dirac operator on complete riemannian manifolds

    Mikhael Gromov;Mikhael Gromov;H. Blaine Lawson;H. Blaine Lawson

  • Complete Minimal Surfaces in S 3

    H. Blaine Lawson

  • The classification of simply connected manifolds of positive scalar curvature

    Mikhael Gromov;H. Blaine Lawson

  • Minimal submanifolds of low cohomogeneity

    Wu-yi Hsiang;H. Blaine Lawson

  • Local Rigidity Theorems for Minimal Hypersurfaces

    H. Blaine Lawson

  • Spin and Scalar Curvature in the Presence of a Fundamental Group. I

    Mikhael Gromov;H. Blaine Lawson

  • Lectures on minimal submanifolds

    H. Blaine Lawson

  • Stability and isolation phenomena for Yang-Mills fields

    Jean-Pierre Bourguignon;H. Blaine Lawson;H. Blaine Lawson

  • On Stable Currents and Their Application to Global Problems in Real and Complex Geometry

    H. Blaine Lawson;James Simons

  • On boundaries of complex analytic varieties, II

    Unknown

  • Dirichlet duality and the nonlinear Dirichlet problem

    F. Reese Harvey;H. Blaine Lawson

  • Compact manifolds of nonpositive curvature

    H. Blaine Lawson;Shing Tung Yau

  • Algebraic cycles and homotopy theory

    H. Blaine Lawson

  • Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system

    Unknown

  • The theory of gauge fields in four dimensions

    H. Blaine Lawson

  • Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres

    H. Blaine Lawson;Shing Tung Yau

  • A theory of algebraic cocycles

    Eric M. Friedlander;H. Blaine Lawson

  • The unknottedness of minimal embeddings

    H. Blaine Lawson;H. Blaine Lawson

  • An intrinsic characterization of Kähler manifolds

    Reese Harvey;Reese Harvey;H. Blaine Lawson;H. Blaine Lawson

  • The equivariant Plateau problem and interior regularity

    H. Blaine Lawson

  • A theory of characteristic currents associated with a singular connection

    F. Reese Harvey;H. Blaine Lawson

  • DIRICHLET DUALITY AND THE NONLINEAR DIRICHLET PROBLEM ON RIEMANNIAN MANIFOLDS

    F. Reese Harvey;H. Blaine Lawson

Frequent Co-Authors

Eric M. Friedlander
Eric M. Friedlander University of Southern California
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Mikhael Gromov
Mikhael Gromov Institut des Hautes Études Scientifiques
Dennis Sullivan
Dennis Sullivan Stony Brook University

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 expanding their expertise beyond Mathematics, pursuing interdisciplinary degrees can open diverse career pathways. Many professionals combine math skills with business acumen, making degrees like an easiest MBA programs attractive for career changers seeking flexible, accessible options.

Online formats offer convenience and accelerated pacing, with some of the easiest and fastest online MBA degree programs designed specifically for busy students balancing work and study. This can be beneficial for Mathematics graduates aiming to leverage their analytical skills in leadership roles.

For those focused more on advanced research or executive-level management, DBA online programs provide an affordable pathway to hone applied business expertise while maintaining a flexible online schedule.

Additionally, combining math proficiency with finance is a natural fit. Accessing cheapest online masters in finance can provide specialized knowledge critical for careers in investment analysis, actuarial science, or financial modeling, often at a lower cost.

Best Scientists Citing H. Blaine Lawson

Trending Scientists

Recently Published Articles