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- Rafe Mazzeo

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
5,828
155
World Ranking
1315
National Ranking
597

2013 - Fellow of the American Mathematical Society

1991 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Geometry
- Pure mathematics

Rafe Mazzeo mainly investigates Mathematical analysis, Pure mathematics, Mean curvature, Gravitational singularity and Scalar curvature. Rafe Mazzeo studies Mathematical analysis, namely Conformal map. His biological study spans a wide range of topics, including Einstein, Eigenvalues and eigenvectors and Metric.

Rafe Mazzeo combines subjects such as Kähler manifold, Ligand cone angle, Zero, Asymptotic expansion and Cone with his study of Gravitational singularity. Rafe Mazzeo interconnects Geodesic and Submanifold in the investigation of issues within Scalar curvature. Rafe Mazzeo has included themes like Interval and Laplace operator in his Boundary study.

- Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature (479 citations)
- The Hodge cohomology of a conformally compact metric (233 citations)
- Refined asymptotics for constant scalar curvature metrics with isolated singularities (162 citations)

Rafe Mazzeo mainly focuses on Pure mathematics, Mathematical analysis, Boundary, Moduli space and Scalar curvature. Rafe Mazzeo works on Pure mathematics which deals in particular with Manifold. He has researched Mathematical analysis in several fields, including Mean curvature, Curvature and Mathematical physics.

His studies deal with areas such as Infinity and Bounded function as well as Boundary. His studies in Moduli space integrate themes in fields like Compactification, Deformation theory and Combinatorics. His Scalar curvature research focuses on subjects like Constant, which are linked to Connected sum.

- Pure mathematics (52.53%)
- Mathematical analysis (51.15%)
- Boundary (18.89%)

- Pure mathematics (52.53%)
- Mathematical analysis (51.15%)
- Moduli space (17.05%)

Rafe Mazzeo spends much of his time researching Pure mathematics, Mathematical analysis, Moduli space, Boundary and Space. His Pure mathematics research includes themes of Conical surface and Mean curvature. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Scalar curvature and Ricci flow.

His Moduli space research integrates issues from Gravitational singularity, Metric, Deformation theory and Mathematical physics. His Boundary research is multidisciplinary, incorporating perspectives in Combinatorics, Boundary value problem, Manifold, Curvature and Infinity. His research integrates issues of Overdetermined system, Linear independence, Operator, Dirac operator and Sequence in his study of Space.

- Kahler-Einstein metrics with edge singularities (146 citations)
- Ends of the moduli space of Higgs bundles (35 citations)
- Ricci flow on surfaces with conic singularities (34 citations)

- Mathematical analysis
- Geometry
- Pure mathematics

Rafe Mazzeo mostly deals with Pure mathematics, Mathematical analysis, Boundary, Compactification and Moduli space. His Pure mathematics study integrates concerns from other disciplines, such as Einstein and Heat kernel. As part of his studies on Mathematical analysis, Rafe Mazzeo frequently links adjacent subjects like Cosmological constant.

His research investigates the link between Boundary and topics such as Boundary value problem that cross with problems in Ideal, De Rham cohomology, Poincaré duality and Hodge theory. The various areas that Rafe Mazzeo examines in his Compactification study include Compact Riemann surface, Simple and Higgs bundle, Higgs boson. His Moduli space research includes themes of Compactification, Cohomology, Deformation theory and Line bundle.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Rafe R Mazzeo;Richard B Melrose.

Journal of Functional Analysis **(1987)**

513 Citations

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

Rafe R Mazzeo;Richard B Melrose.

Journal of Functional Analysis **(1987)**

513 Citations

The Hodge cohomology of a conformally compact metric

Rafe Mazzeo.

Journal of Differential Geometry **(1988)**

259 Citations

The Hodge cohomology of a conformally compact metric

Rafe Mazzeo.

Journal of Differential Geometry **(1988)**

259 Citations

Kahler-Einstein metrics with edge singularities

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

Annals of Mathematics **(2016)**

244 Citations

Kahler-Einstein metrics with edge singularities

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

Annals of Mathematics **(2016)**

244 Citations

PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBRED BOUNDARIES

Rafe Mazzeo;Richard B. Melrose.

Asian Journal of Mathematics **(1998)**

213 Citations

PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBRED BOUNDARIES

Rafe Mazzeo;Richard B. Melrose.

Asian Journal of Mathematics **(1998)**

213 Citations

Refined asymptotics for constant scalar curvature metrics with isolated singularities

Nick Korevaar;Rafe Mazzeo;Frank Pacard;Richard Schoen.

Inventiones Mathematicae **(1999)**

190 Citations

Refined asymptotics for constant scalar curvature metrics with isolated singularities

Nick Korevaar;Rafe Mazzeo;Frank Pacard;Richard Schoen.

Inventiones Mathematicae **(1999)**

190 Citations

Journal of the Mathematical Society of Japan

(Impact Factor: 0.771)

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