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D-Index & Metrics

Mathematics

D-Index
41
Citations
12805
World Ranking
1856
National Ranking
788

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1999 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Joel Spruck is affiliated with Johns Hopkins University in the United States and specializes in research primarily in the field of Mathematics. Their work extensively covers topics in Applied Mathematics, Geometry and Topology, as well as specialized areas such as Astronomy and Astrophysics, Computational Theory and Mathematics, and Cell Biology.

Their research focuses largely on Geometric Analysis and Curvature Flows, Point Processes and Geometric Inequalities, and Geometry and Complex Manifolds. Additional core topics include Nonlinear Partial Differential Equations, Geometric and Algebraic Topology, Advanced Differential Geometry Research, and Analytic and Geometric Function Theory.

Joel Spruck has contributed to numerous publications, with frequent venues including arXiv (Cornell University), Journal of Geometric Analysis, International Mathematics Research Notices, American Journal of Mathematics, and Advanced Nonlinear Studies.

  • Complete translating solitons to the mean curvature flow in ℝ3 with nonnegative mean curvature, 2020, American Journal of Mathematics
  • Total Curvature and the Isoperimetric Inequality in Cartan-Hadamard Manifolds, 2022, Journal of Geometric Analysis
  • Total mean curvatures of Riemannian hypersurfaces, 2023, Advanced Nonlinear Studies
  • Convexity of 2-Convex Translating Solitons to the Mean Curvature Flow in ℝⁿ⁺¹, 2020, Journal of Geometric Analysis
  • An Improved Eigenvalue Estimate for Embedded Minimal Hypersurfaces in the Sphere, 2024, International Mathematics Research Notices

Collaborative research has been a significant aspect of their career. Frequent co-authors include Mohammad Ghomi, Ling Xiao, Jonah A. J. Duncan, Yannick Sire, and Liming Sun.

Joel Spruck has been recognized by professional societies, having been awarded Fellow status by the American Mathematical Society in 2013 and by the John Simon Guggenheim Memorial Foundation in 1999.

Best Publications

  • Motion of Level Sets by Mean Curvature. I

    Lawrence C. Evans;Joel Spruck

  • Global and local behavior of positive solutions of nonlinear elliptic equations

    B. Gidas;J. Spruck

  • Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

    Luis A. Caffarelli;Basilis Gidas;Joel Spruck

  • The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian

    L. Caffarelli;L. Nirenberg;J. Spruck

  • A priori bounds for positive solutions of nonlinear elliptic equations

    B. Gidas;J. Spruck

  • The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

    L. Caffarelli;L. Nirenberg;J. Spruck

  • Sobolev and isoperimetric inequalities for riemannian submanifolds

    David Hoffman;Joel Spruck

  • The dirichlet problem for nonlinear second‐order elliptic equations. II. Complex monge‐ampère, and uniformaly elliptic, equations

    L. Caffarelli;J. J. Kohn;L. Nirenberg;J. Spruck

  • Motion of level sets by mean curvature IV

    Unknown

  • Motion of level sets by mean curvature. II

    L. C. Evans;J. Spruck

  • Motion of level sets by mean curvature III

    Lawrence C. Evans;Joel Spruck

  • Convexity properties of solutions to some classical variational problems

    Luis A. Caffarelli;Joel Spruck

  • Nonlinear Second-Order Elliptic Equations V. The Dirichlet Problem for Weingarten Hypersurfaces

    Luis Caffarelli;Louis Nirenberg;Joel Spruck

  • The existence of non-topological solitons in the self-dual Chern-Simons theory

    Joel Spruck;Yi Song Yang

  • TOPOLOGICAL SOLUTIONS IN THE SELF-DUAL CHERN-SIMONS THEORY - EXISTENCE AND APPROXIMATION

    Joel Spruck;Yisong Yang

  • Regularity in elliptic free boundary problems I

    D. Kinderlehrer;D. Kinderlehrer;L. Nirenberg;L. Nirenberg;J. Spruck;J. Spruck

  • Boundary-value problems on $\mathbb{S}^n$ for surfaces of constant Gauss curvature

    Bo Guan;Joel Spruck

  • Interior Gradient Estimates and Existence Theorems for Constant Mean Curvature Graphs in Mn × R

    Joel Spruck

  • On multivortices in the electroweak theory. I. Existence of periodic solutions

    Joel Spruck;Yi Song Yang

  • Existence and regularity of a capillary surface with prescribed contact angle

    Leon Simon;Joel Spruck

  • Boundary value problems for surfaces of constant Gauss Curvature

    David Hoffman;Harold Rosenberg;Joel Spruck

Frequent Co-Authors

Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Louis Nirenberg
Louis Nirenberg Courant Institute of Mathematical Sciences
Harold Rosenberg
Harold Rosenberg Instituto Nacional de Matemática Pura e Aplicada
Lawrence C. Evans
Lawrence C. Evans University of California, Berkeley
David Kinderlehrer
David Kinderlehrer Carnegie Mellon University
Xavier Cabré
Xavier Cabré Universitat Politècnica de Catalunya
Leon Simon
Leon Simon Stanford University

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