Rafe Mazzeo
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#3769
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#967
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Differential Geometry
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#61
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#20
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#177
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#25
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Mathematics
Rafe Mazzeo's Degrees
- PhD Mathematics Stanford University
Why Is Rafe Mazzeo Influential?
(Suggest an Edit or Addition)According to Wikipedia, Rafe Roys Mazzeo is an American mathematician working in differential geometry, microlocal analysis, and partial differential equations. He is currently a professor of mathematics. He served as the department chair at Stanford University from 2007 to 2010 and 2019–2022.
Rafe Mazzeo's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature (1987) (455)
- Kahler-Einstein metrics with edge singularities (2011) (237)
- The Hodge cohomology of a conformally compact metric (1988) (218)
- Refined asymptotics for constant scalar curvature metrics with isolated singularities (1998) (183)
- PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBRED BOUNDARIES (1998) (163)
- Hodge cohomology of gravitational instantons (2002) (155)
- A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis (1994) (138)
- Constant scalar curvature metrics with isolated singularities (1996) (135)
- Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds (1991) (125)
- Constant mean curvature surfaces with Delaunay ends (1998) (121)
- Moduli Spaces of Singular Yamabe Metrics (1994) (112)
- The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration (1990) (108)
- Singular Solutions of Fractional Order Conformal Laplacians (2009) (102)
- The moduli space of complete embedded constant mean curvature surfaces (1994) (99)
- Regularity for the singular Yamabe problem (1991) (97)
- The signature package on Witt spaces (2011) (97)
- Degenerate Diffusion Operators Arising in Population Biology (2011) (95)
- Connected sums of constant mean curvature surfaces in Euclidean 3 space (1999) (88)
- Hodge theory on hyperbolic manifolds (1990) (84)
- Gluing and Wormholes for the Einstein Constraint Equations (2001) (74)
- Friedlander's eigenvalue inequalities and the Dirichlet-to-Neumann semigroup (2012) (72)
- Connected sum constructions for constant scalar curvature metrics (1995) (71)
- Ricci flow on surfaces with conic singularities (2013) (70)
- Wright-Fisher Diffusion in One Dimension (2009) (68)
- Analytic surgery and the accumulation of eigenvalues (1995) (67)
- Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere (1991) (66)
- Ends of the moduli space of Higgs bundles (2014) (64)
- Renormalized Area and Properly Embedded Minimal Surfaces in Hyperbolic 3-Manifolds (2008) (63)
- Foliations by constant mean curvature tubes (2003) (62)
- Constant mean curvature hypersurfaces condensing on a submanifold (2006) (62)
- Using total-variation regularization for intensity modulated radiation therapy inverse planning with field-specific numbers of segments (2008) (62)
- Analytic Torsion on Manifolds with Edges (2011) (61)
- Analytic surgery and the eta invariant (1995) (56)
- The Yamabe problem on stratified spaces (2012) (53)
- Constant curvature foliations in asymptotically hyperbolic spaces (2007) (48)
- Harmonic forms on manifolds with edges (2005) (47)
- Curvature and uniformization (2001) (44)
- Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type (2003) (43)
- On the Topology of Vacuum Spacetimes (2002) (43)
- Ricci flow on surfaces with cusps (2007) (42)
- The Nahm Pole Boundary Condition (2013) (41)
- SPECTRAL PROPERTIES OF THE DIRICHLET-TO-NEUMANN OPERATOR ON LIPSCHITZ DOMAINS (2007) (40)
- A signature formula for manifolds with corners of codimension two (1997) (39)
- Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra (2009) (38)
- Hodge theory on Cheeger spaces (2013) (38)
- Minimal surfaces with positive genus and finite total curvature in H 2 R (2012) (36)
- Remarks on a paper of Friedlander concerning inequalities between Neumann and Dirichlet eigenvalues (1991) (35)
- Elliptic theory of differential edge operators, II: boundary value problems (2013) (35)
- Maskit combinations of Poincaré–Einstein metrics (2002) (33)
- Initial Data Sets with Ends of Cylindrical Type: I. The Lichnerowicz Equation (2012) (31)
- On 'many-black-hole' vacuum spacetimes (2002) (31)
- Resolvent of the Laplacian on geometrically finite hyperbolic manifolds (2010) (27)
- The Ricci continuity method for the complex Monge–Ampère equation, with applications to Kähler–Einstein edge metrics (2012) (27)
- Constant mean curvature hypersurfaces condensing along a submanifold (2004) (26)
- Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds (2013) (25)
- Dirac operators, heat kernels and microlocal analysis Part II: analytic surgery (1998) (25)
- Limiting configurations for solutions of Hitchin's equation (2015) (25)
- Asymptotic Geometry of the Hitchin Metric (2017) (24)
- A heat trace anomaly on polygons (2008) (23)
- Initial data sets with ends of cylindrical type: II. The vector constraint equation (2012) (23)
- Bifurcating nodoids (2002) (23)
- Resolvents and Martin boundaries of product spaces (2000) (23)
- Scattering theory on SL(3)/SO(3): Connections with quantum 3‐body scattering (2002) (22)
- Fredholm theory for elliptic operators on quasi‐asymptotically conical spaces (2014) (22)
- Harnack Inequalities and Heat-kernel Estimates for Degenerate Diffusion Operators Arising in Population Biology (2014) (22)
- Hodge cohomology of negatively curved manifolds (1986) (22)
- The conformal theory of Alexandrov embedded constant mean curvature surfaces in $R^3$ (2001) (22)
- Ricci Flow in Two Dimensions (2011) (21)
- Symmetry for solutions of two-phase semilinear elliptic equations on hyperbolic space (2008) (21)
- On the asymptotic behavior of minimal surfaces in H²×R (2015) (21)
- The KW equations and the Nahm pole boundary condition with knots (2017) (21)
- Opers versus nonabelian Hodge (2016) (20)
- The Novikov conjecture on Cheeger spaces (2013) (20)
- Analytic continuation of the resolvent of the Laplacian on SL(3)/ SO(3) (2002) (19)
- A nonlinear Poisson transform for Einstein metrics on product spaces (2007) (18)
- Ricci flow on asymptotically conical surfaces with nontrivial topology (2010) (18)
- Resolution blowups, spectral convergence and quasi-asymptotically conical spaces (2006) (18)
- Recent advances in the global theory of constant mean curvature surfaces (2002) (18)
- Gluing and moduli for noncompact geometric problems (1996) (17)
- Self similar expanding solutions of the planar network flow (2007) (17)
- Teichmüller Theory for Conic Surfaces (2015) (16)
- The extended Bogomolny equations and generalized Nahm pole boundary condition (2017) (16)
- Conical metrics on Riemann surfaces, I: The compactified configuration space and regularity (2017) (16)
- The index of Dirac operators on manifolds with fibered boundaries (2006) (16)
- Poincaré–Einstein metrics and the Schouten tensor (2001) (16)
- The Moduli Space of Asymptotically Cylindrical Calabi–Yau Manifolds (2014) (14)
- Complete Willmore surfaces in H3 with bounded energy: boundary regularity and bubbling (2012) (13)
- Hölder regularity of solutions for Schrödinger operators on stratified spaces (2014) (13)
- Singular Sturm–Liouville Theory on Manifolds (2001) (12)
- From the Hitchin section to opers through nonabelian Hodge (2021) (12)
- Renormalized volume and the evolution of APEs (2013) (12)
- Parabolic geometries as conformal infinities of Einstein metrics (2006) (12)
- The signature package on Witt spaces, I. Index classes (2009) (12)
- Asymptotics of the Weil-Petersson metric (2015) (11)
- The Yamabe problem on Dirichlet spaces (2013) (10)
- Refined intersection homology on non-Witt spaces (2013) (10)
- CMC hypersurfaces condensing to Geodesic segments and rays in Riemannian manifolds (2012) (10)
- Constraining Surface Interpolations Using Elastic Plate Bending Solutions with Applications to Geologic Folding (2008) (10)
- On the asymptotic behavior of minimal surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$ (2017) (9)
- The extended Bogomolny equations with generalized Nahm pole boundary conditions, II (2018) (9)
- Conformal fields and the structure of the space of solutions of the Einstein constraint equations (2017) (9)
- The Geometric Microlocal Analysis of Generalized Kimura and Heston Diffusions (2014) (8)
- Conical Metrics on Riemann Surfaces, II: Spherical Metrics (2019) (8)
- Short-time existence for the network flow (2021) (7)
- Multiple-layer solutions to the Allen-Cahn equation on hyperbolic space (2012) (7)
- Properly embedded minimal annuli in $$\mathbb {H}^2 \times \mathbb {R}$$H2×R (2017) (5)
- Asymptotic Geometry of the Moduli Space of Parabolic $SL(2,\mathbb{C})$-Higgs Bundles (2020) (5)
- Some remarks on conic degeneration and bending of Poincaré-Einstein metrics (2007) (5)
- Initial Data Sets with Ends of Cylindrical Type: I. The Lichnerowicz Equation (2014) (5)
- Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space (2012) (5)
- Boundary-degenerate Elliptic Operators and Hölder Continuity for Solutions to Variational Equations and Inequalities (2013) (5)
- Edge Operators in Geometry (1992) (4)
- Analysis of Degenerate Diffusion Operators Arising in Population Biology (2013) (4)
- Manifolds with Many Rarita–Schwinger Fields (2020) (4)
- The Willmore functional on complete minimal surfaces in H3: boundary regularity and bubbling (2012) (4)
- Analysis and Geometric Singularities (2005) (2)
- Double b-fibrations and desingularization of the X-ray transform on manifolds with strictly convex boundary (2021) (2)
- L 2 -cohomology and complete Hamiltonian manifolds (2014) (2)
- NONLINEAR ELLIPTIC EQUATIONS IN CONFORMAL GEOMETRY BY S.Y. ALICE CHANG, ZÜRICH LECTURES IN ADVANCED (2006) (2)
- Analytic dilation on complete manifolds with corners of codimension 2 (2011) (2)
- On the asymptotic behavior of minimal surfaces in H${}^2$$\times$R (2015) (2)
- Constant Mean Curvature Hypersurfaces Condensing to Geodesic Segments and Rays in Riemannian Manifolds (2008) (2)
- Classification of Nahm pole solutions of the Kapustin-Witten equations on $S^1\times \Sigma\times \mathbb{R}^+$ (2019) (2)
- Opers and the twisted Bogomolny equations (2019) (2)
- Wellposedness of nonlinear flows on manifolds of bounded geometry (2022) (1)
- The signature package on Witt spaces, II. Higher signatures (2009) (1)
- Book Review: Non-linear elliptic equations in conformal geometry (2007) (1)
- Ricci Flow and Volume Renormalizability (2016) (1)
- 60 50 04 v 1 1 4 M ay 1 99 6 Constant scalar curvature metrics with isolated singularities (1999) (1)
- FOUR MANIFOLDS WITH TWO-POSITIVE RICCI CURVATURE (2008) (1)
- Perturbing away higher dimensional singularities from area minimizing hypersurfaces (1994) (1)
- Asymptotic geometry of the moduli space of parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$ ‐Higgs bundles (2022) (1)
- MO‐D‐BRB‐02: Using Total‐Variation Regularization for IMRT Inverse Planning with Field‐Specific Numbers of Segments (2009) (1)
- Chapter 11. The Resolvent Operator (2013) (0)
- Mini-Workshop : Boundary Value Problems and Spectral Geometry 3 Mini-Workshop : Boundary Value Problems and Spectral Geometry Table of Contents (2012) (0)
- Some global aspects of linear wave equations (2012) (0)
- Constant mean curvature in higher codimension, and a Ginzburg-Landau analogue (2014) (0)
- Chapter 9. Hölder Estimates for General Models (2013) (0)
- Curvature and Uniformization Rafe Mazzeo (0)
- Geometric Scattering Theory and Applications (2010) (0)
- Asymptotic geometry of the moduli space of parabolic Higgs bundles (2022) (0)
- N ov 2 00 2 Maskit combinations of Poincaré-Einstein metrics (2002) (0)
- The Algebraic and Analytic Compactifications of the Hitchin Moduli Space (2023) (0)
- Spectral Geometry for the Riemann Moduli Space (2013) (0)
- D G ] 30 O ct 2 01 2 The Yamabe problem on stratified spaces (2012) (0)
- Chapter 4. The Model Solution Operators (2013) (0)
- Book Review: Heat kernels and Dirac operators (1996) (0)
- 2 1 M ay 2 00 1 Poincaré-Einstein metrics and the Schouten tensor (2008) (0)
- Flexibility of singular Einstein metrics (2019) (0)
- Mathematics of topological insulators (2021) (0)
- Chapter 12. The Semi-group on ℂ°(P) (2013) (0)
- Flexibility of singular Einstein metrics (2019) (0)
- Higher codimension isoperimetric problems (2015) (0)
- Special holonomy and branes (2021) (0)
- Chapter 10. Existence of Solutions (2013) (0)
- 1 5 Fe b 20 08 Ricci flow on surfaces with cusps (2008) (0)
- S ep 2 00 8 Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds (2008) (0)
- Non-linear Surface Interpolation of Large Deflection Fold Shapes (2007) (0)
- Lightweight Insulated Footwear (1971) (0)
- “Brilliance and Generosity of Heart”: Elizabeth Meckes (1980–2020) (2022) (0)
- Chapter 2. Wright-Fisher Geometry (2013) (0)
- Chapter 3. Maximum Principles and Uniqueness Theorems (2013) (0)
- Families of Minimal Surfaces in $$\mathbb {H}^2 \times \mathbb {R}$$ Foliated by Arcs and Their Jacobi Fields (2017) (0)
- HIGGS BUNDLES AND NON-ABELIAN HODGE THEORY LECTURES BY RAFE MAZZEO, NOTES BY TONY FENG (2016) (0)
- Chapter 6. Hölder Estimates for the 1-dimensional Model Problems (2013) (0)
- Fast Aperture-based Inverse Treatment Planning using Mixed Integer and Quadratic Optimization (2008) (0)
- Title to be announced (2004) (0)
- 2 Ju n 20 02 On the topology of vacuum spacetimes (2009) (0)
- The asymptotic geometry of the Higgs bundle moduli space over a Riemann surface (2015) (0)
- Sharp parabolic regularity and geometric flows on singular spaces (2015) (0)
- Société Mathématique De France the Signature Package on Witt Spaces (2012) (0)
- Asymptotically Hyperbolic Manifolds (2018) (0)
- Singular Solutions of Fractional Order Conformal Laplacians (2011) (0)
- Chapter 8. Hölder Estimates for Euclidean Models (2013) (0)
- . D G ] 1 6 M ar 2 00 5 Harmonic forms on manifolds with edges (2008) (0)
- The Yamabe problem on stratified spaces (2014) (0)
- CONFERENCE ON INVERSE PROBLEMS IN HONOR OF GUNTHER UHLMANN (2012) (0)
- Fe b 20 08 Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds (2008) (0)
- Chapter 7. Hölder Estimates for Higher Dimensional Corner Models (2013) (0)
- O ct 2 00 2 On “ many black hole ” vacuum spacetimes (2008) (0)
- The Moduli Space of Asymptotically Cylindrical Calabi–Yau Manifolds (2015) (0)
- Appendix A: Proofs of Estimates for the Degenerate 1-d Model (2013) (0)
- Geometry and Physics of Higgs Bundles (2020) (0)
- embeddedminimal annuli in H 2 × R (2019) (0)
- Resolvent of the Laplacian on geometrically finite hyperbolic manifolds (2011) (0)
- Future Directions of Research in Geometry : A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference ? (2007) (0)
- Convergence stability for Ricci flow on manifolds with bounded geometry (2023) (0)
- Asymptotic Geometry of the Hitchin Metric (2019) (0)
- ec 2 00 0 RESOLVENTS AND MARTIN BOUNDARIES OF PRODUCT SPACES (2005) (0)
- Analysis, Geometry and Topology of Singular PDE (2022) (0)
- Ju l 2 00 2 Hodge cohomology of gravitational instantons Tamás Hausel UC Berkeley (2003) (0)
- Chapter 5. Degenerate Hölder Spaces (2013) (0)
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