World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
6624
World Ranking
1609
National Ranking
690

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1991 - Fellow of Alfred P. Sloan Foundation

Overview

Rafe Mazzeo is affiliated with Stanford University in the United States and has a substantial body of work primarily in the field of Mathematics. Their research spans several specialized subfields including Geometry and Topology, Mathematical Physics, Applied Mathematics, Nuclear and High Energy Physics, and Pharmacology.

The scientist's main topics of study encompass:

  • Geometric Analysis and Curvature Flows
  • Algebraic Geometry and Number Theory
  • Geometry and Complex Manifolds
  • Black Holes and Theoretical Physics
  • Geometric and Algebraic Topology
  • Advanced Algebra and Geometry
  • Homotopy and Cohomology in Algebraic Topology

Among their recent publications are:

  • From the Hitchin section to opers through nonabelian Hodge, 2021, Journal of Differential Geometry
  • Asymptotic geometry of the moduli space of parabolic SL(2,C)-Higgs bundles, 2022, Journal of the London Mathematical Society
  • The KW equations and the Nahm pole boundary condition with knots, 2020, Communications in Analysis and Geometry
  • Conical Metrics on Riemann Surfaces, II: Spherical Metrics, 2021, International Mathematics Research Notices
  • Asymptotic Geometry of the Moduli Space of Parabolic SL(2,C)-Higgs Bundles, 2020, arXiv (Cornell University)

Rafe Mazzeo has collaborated frequently with several researchers, including:

  • Eric Bahuaud
  • Christine Guenther
  • James Isenberg
  • Laura Fredrickson
  • Julia Chen-Sankey

The primary venues where their work has appeared include:

  • arXiv (Cornell University)
  • bioRxiv (Cold Spring Harbor Laboratory)
  • Oberwolfach Reports
  • Notices of the American Mathematical Society
  • Journal of Differential Geometry

Recognition for their professional contributions includes fellowships from prominent organizations:

  • Fellow of the American Mathematical Society, 2013
  • Fellow of Alfred P. Sloan Foundation, 1991

Best Publications

  • Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature

    Rafe R Mazzeo;Richard B Melrose

  • Kahler-Einstein metrics with edge singularities

    Thalia D. Jeffres;Rafe Mazzeo;Yanir A. Rubinstein

  • The Hodge cohomology of a conformally compact metric

    Rafe Mazzeo

  • PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBRED BOUNDARIES

    Rafe Mazzeo;Richard B. Melrose

  • Refined asymptotics for constant scalar curvature metrics with isolated singularities

    Nick Korevaar;Rafe Mazzeo;Frank Pacard;Richard Schoen

  • Constant mean curvature surfaces with Delaunay ends

    Rafe Mazzeo;Frank Pacard

  • Hodge cohomology of gravitational instantons

    Tamás Hausel;Eugenie Hunsicker;Rafe Mazzeo

  • A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis

    Rafe Mazzeo;Frank Pacard

  • Constant scalar curvature metrics with isolated singularities

    Rafe Mazzeo;Frank Pacard

  • Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds

    Rafe Mazzeo

  • Moduli Spaces of Singular Yamabe Metrics

    Rafe Mazzeo;Daniel Pollack;Karen Uhlenbeck

  • The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration

    Rafe R. Mazzeo;Richard B. Melrose

  • Degenerate Diffusion Operators Arising in Population Biology

    Charles L. Epstein;Rafe Mazzeo

  • Friedlander's eigenvalue inequalities and the Dirichlet-to-Neumann semigroup

    Wolfgang Arendt;Rafe Mazzeo

  • Singular Solutions of Fractional Order Conformal Laplacians

    Maria del Mar González;Rafe Mazzeo;Yannick Sire

  • THE SIGNATURE PACKAGE ON WITT SPACES

    Pierre Albin;Éric Leichtnam;Rafe Mazzeo;Paolo Piazza

  • The Moduli Space of Complete Embedded Constant Mean Curvature Surfaces

    Robert Kusner;Rafe Mazzeo;Daniel Pollack

  • Analytic torsion on manifolds with edges

    Rafe Mazzeo;Boris Vertman

  • Hodge theory on hyperbolic manifolds

    Rafe Mazzeo;Ralph S. Phillips

  • Gluing and wormholes for the Einstein constraint equations

    James Isenberg;Rafe Mazzeo;Daniel Pollack

  • Regularity for the singular Yamabe problem

    R. Mazzeo

Frequent Co-Authors

Frank Pacard
Frank Pacard École Polytechnique
András Vasy
András Vasy Stanford University
Piotr T. Chruściel
Piotr T. Chruściel University of Vienna
James Isenberg
James Isenberg University of Oregon
Karen Uhlenbeck
Karen Uhlenbeck The University of Texas at Austin
Edward Witten
Edward Witten Institute for Advanced Study
Yinyu Ye
Yinyu Ye Stanford University
Lei Xing
Lei Xing Stanford University
Wolfgang Arendt
Wolfgang Arendt University of Ulm

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