What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (52.53%)
- Mathematical analysis (51.15%)
- Boundary (18.89%)
What were the highlights of his more recent work (between 2013-2021)?
- Pure mathematics (52.53%)
- Mathematical analysis (51.15%)
- Moduli space (17.05%)
In recent papers he was focusing on the following fields of study:
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.
Between 2013 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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