World's Best Scientists 2026 revealed!
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Mathematics
Brazil
2026

D-Index & Metrics

Mathematics

D-Index
45
Citations
5590
World Ranking
1515
National Ranking
10

Research.com Recognitions

  • 2026 - Research.com Mathematics in Brazil Leader Award
  • 2025 - Research.com Mathematics in Brazil Leader Award

Overview

Harold Rosenberg is a researcher affiliated with the Instituto Nacional de Matemática Pura e Aplicada in Brazil. Their academic work primarily falls within the field of Mathematics, with a focus on Applied Mathematics and Geometry and Topology. The research spans various interconnected topics including Geometric Analysis and Curvature Flows, Geometry and Complex Manifolds, and Nonlinear Partial Differential Equations.

The scientist has contributed to study areas extending to Mechanical Engineering and Materials Chemistry, covering themes like Thermal and Kinetic Analysis, Advanced Materials and Composites, and Intermetallics and Advanced Alloy Properties.

Recent scholarly outputs by Harold Rosenberg include:

  • Degree Theory of Immersed Hypersurfaces (2020), published in Memoirs of the American Mathematical Society
  • Excess thermochemical properties and local structure in the entropy stabilized (Hf-Zr)TiO4 system (2024), published in Acta Materialia

Other publications show collaborative work in the broader domain, such as Minimal planes in asymptotically flat three-manifolds (2022) in the Journal of Differential Geometry, and Entire constant mean curvature graphs in ℍ2× ℝ (2022) from the Pacific Journal of Mathematics.

Frequent collaborators of Rosenberg include S.J. McCormack, who appears as a co-author in multiple publications, as well as Stuart C. Ness, Bhoopesh Mishra, Carlo U. Segre, and Graham Smith.

Their work appears regularly in diverse academic venues, including:

  • Acta Materialia
  • Memoirs of the American Mathematical Society
  • Pacific Journal of Mathematics
  • Journal of Differential Geometry
  • Journal of the American Ceramic Society

The research profile indicates a cross-disciplinary impact, bridging core mathematical theory with applied aspects related to materials science and engineering. These contributions include exploring geometric properties and differential equations as well as investigating thermochemical properties of advanced materials.

Best Publications

  • Hypersurfaces of constant curvature in space forms

    H. Rosenberg

  • A Hopf differential for constant mean curvature surfaces in S2×R and H2×R

    Uwe Abresch;Harold Rosenberg

  • “Minimal Surfaces in ℍ2 × ℝ”

    Barbara Nelli;Harold Rosenberg

  • The uniqueness of the helicoid

    William H. Meeks;Harold Rosenberg

  • Generalized Hopf differentials

    Uwe Abresch;Harold Rosenberg

  • Foliations by planes

    Harold Rosenberg

  • General curvature estimates for stable H-surfaces in 3-manifolds applications

    Harold Rosenberg;Rabah Souam;Eric Toubiana

  • Constant mean curvature surfaces in

    David Hoffman;Jorge Herbert S. de Lira;Harold Rosenberg

  • Construction of harmonic diffeomorphisms and minimal graphs

    Pascal Collin;Harold Rosenberg

  • The geometry of periodic minimal surfaces

    William H. Meeks;William H. Meeks;Harold Rosenberg;Harold Rosenberg

  • Minimal surfaces in H 2 × R

    Barbara Nelli;Harold Rosenberg

  • The theory of minimal surfaces in M × R

    William H. Meeks;Harold Rosenberg

  • The global theory of doubly periodic minimal surfaces

    William H. Meeks;Harold Rosenberg

  • The minimal lamination closure theorem

    William H. Meeks;Harold Rosenberg

  • The geometry of finite topology Bryant surfaces

    Pascal Collin;Laurent Hauswirth;Harold Rosenberg

  • The geometry of properly embedded special surfaces in R3; e.g., surfaces satisfying aH+bK=1, where a and b are positive

    Harold Rosenberg;Ricardo Sa Earp

  • The Dirichlet problem for the minimal surface equation -with possible infinite boundary data- over domains in a Riemannian surface

    Laurent Mazet;M. Magdalena Rodriguez;Harold Rosenberg

  • Intégrales de courbure sur des variétés feuilletées

    Fabiano Brito;Rémi Langevin;Harold Rosenberg

  • Structure theorems for constant mean curvature surfaces bounded by a planar curve

    R Earp;F G B Brito;W Meeks;H Rosenberg

  • Constant mean curvature surfaces in homogeneously regular 3-manifolds

    Harold Rosenberg

  • Boundary value problems for surfaces of constant Gauss Curvature

    David Hoffman;Harold Rosenberg;Joel Spruck

  • General curvature estimates for stable H-surfaces in 3-manifolds and applications

    Harold Rosenberg;Rabah Souam;Eric Toubiana

Frequent Co-Authors

William H. Meeks
William H. Meeks University of Massachusetts Amherst
Joel Spruck
Joel Spruck Johns Hopkins University
Antonio Ros
Antonio Ros University of Granada
Frank Pacard
Frank Pacard École Polytechnique

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