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## Mazzeo, Rafe R.

Compute Distance To:
 Author ID: mazzeo.rafe-r Published as: Mazzeo, Rafe; Mazzeo, R.; Mazzeo, Rafe R.; Mazzeo, R. R.
 Documents Indexed: 117 Publications since 1987, including 2 Books
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#### Co-Authors

 12 single-authored 13 Pacard, Frank 10 Piazza, Paolo 8 Pollack, Daniel 6 Melrose, Richard Burt 5 Epstein, Charles Lawrence 5 Leichtnam, Eric 5 Sesum, Natasa 5 Vasy, András 4 Albin, Pierre 4 Brüning, Jochen 4 Isenberg, James A. 4 Swoboda, Jan 4 Weiss, Hartmut 3 Akutagawa, Kazuo 3 Carron, Gilles 3 Chruściel, Piotr Tadeusz 3 Rubinstein, Yanir A. 3 Witt, Frederik 2 Alexakis, Spyros 2 Bahuaud, Eric 2 Biquard, Olivier 2 Hassell, Andrew 2 Hausel, Tamás 2 He, Siqi 2 Hunsicker, Eugenie 2 Ji, Lizhen 2 Martín, Francisco 2 Sáez, Mariel 2 Smale, Nathan 2 Uhlenbeck, Karen Keskulla 2 Vertman, Boris 2 Witten, Edward 2 Woolgar, Eric 1 Anderson, Lara B. 1 Arendt, Wolfgang 1 Banagl, Markus 1 Bär, Christian 1 Baskin, Dean 1 Birindelli, Isabeau 1 Bray, Hubert L. 1 Burns, Daniel M. jun. 1 Butscher, Adrian 1 Conlon, Ronan J. 1 Degeratu, Anda 1 Dilts, James 1 Dumitrescu, Olivia 1 Ferrer, Leonor 1 Fredrickson, Laura 1 Galloway, Greg 1 González, María del Mar 1 Guillarmou, Colin 1 Isenberg, Jim 1 Jeffres, Thalia D. 1 Kaven, J. Ole 1 Kloeckner, Benoît R. 1 Korevaar, Nicholas Jacob 1 Kusner, Robert B. 1 Kydonakis, Georgios 1 Mahmoudi, Fethi 1 McOwen, Robert C. 1 Meier, Caleb 1 Montcouquiol, Grégoire 1 Mulase, Motohico 1 Neitzke, Andrew 1 Pelayo, Alvaro 1 Phillips, Ralph Saul 1 Pocchiola, Samuel 1 Pollard, David D. 1 Ratiu, Tudor Stefan 1 Rochon, Frédéric 1 Rodríguez, M. Magdalena 1 Rodríguez, Magdalena M. 1 Rowlett, Julie 1 Schaposnik, Laura P. 1 Schoen, Richard Melvin 1 Sire, Yannick 1 Taylor, Michael Eugene 1 Zhu, Xuwen 1 Zolotareva, Tatiana
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#### Serials

 7 Journal of Differential Geometry 5 Communications in Mathematical Physics 5 Duke Mathematical Journal 5 Geometric and Functional Analysis. GAFA 5 Communications in Analysis and Geometry 5 Oberwolfach Reports 4 Indiana University Mathematics Journal 3 Journal of Functional Analysis 3 Journal für die Reine und Angewandte Mathematik 3 IMRN. International Mathematics Research Notices 3 Geometry & Topology 2 Classical and Quantum Gravity 2 Advances in Mathematics 2 American Journal of Mathematics 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 Annales Henri Poincaré 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archivum Mathematicum 1 Commentarii Mathematici Helvetici 1 Journal of Differential Equations 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Topology 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Topological Methods in Nonlinear Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The Asian Journal of Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 AMRX. Applied Mathematics Research eXpress 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Annals of Mathematics Studies 1 IAS/Park City Mathematics Series 1 Journal of Noncommutative Geometry 1 Mathematical Geosciences 1 Analysis & PDE 1 Journal of Topology and Analysis 1 Geometric Flows
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#### Fields

 73 Differential geometry (53-XX) 64 Global analysis, analysis on manifolds (58-XX) 28 Partial differential equations (35-XX) 13 Several complex variables and analytic spaces (32-XX) 8 Quantum theory (81-XX) 7 General and overarching topics; collections (00-XX) 6 Algebraic geometry (14-XX) 6 Manifolds and cell complexes (57-XX) 6 Relativity and gravitational theory (83-XX) 5 Functions of a complex variable (30-XX) 5 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 3 Topological groups, Lie groups (22-XX) 2 $$K$$-theory (19-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

103 Publications have been cited 1,845 times in 1,058 Documents Cited by Year
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature. Zbl 0636.58034
Mazzeo, Rafe R.; Melrose, Richard B.
1987
Elliptic theory of differential edge operators. I. Zbl 0745.58045
Mazzeo, Rafe
1991
The Hodge cohomology of a conformally compact metric. Zbl 0656.53042
Mazzeo, Rafe
1988
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
1999
Kähler-Einstein metrics with edge singularities. Zbl 1337.32037
Jeffres, Thalia; Mazzeo, Rafe; Rubinstein, Yanir A.
2016
Pseudodifferential operators on manifolds with fibred boundaries. Zbl 1125.58304
Mazzeo, Rafe; Melrose, Richard B.
1998
A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis. Zbl 0869.35040
Mazzeo, Rafe; Pacard, Frank
1996
Hodge cohomology of gravitational instantons. Zbl 1062.58002
Hausel, Tamás; Hunsicker, Eugenie; Mazzeo, Rafe
2004
Unique continuation at infinity and embedded eigenvalues for asymptotically hyperbolic manifolds. Zbl 0725.58044
Mazzeo, Rafe
1991
Constant scalar curvature metrics with isolated singularities. Zbl 0945.53024
Mazzeo, Rafe; Pacard, Frank
1999
Moduli spaces of singular Yamabe metrics. Zbl 0849.58012
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1996
The signature package on Witt spaces. (Le forfait signature pour les espaces de Witt.) Zbl 1260.58012
Albin, Pierre; Leichtnam, Éric; Mazzeo, Rafe; Piazza, Paolo
2012
Singular solutions of fractional order conformal Laplacians. Zbl 1255.53037
del Mar González, Maria; Mazzeo, Rafe; Sire, Yannick
2012
Constant mean curvature surfaces with Delaunay ends. Zbl 1005.53006
Mazzeo, Rafe; Pacard, Frank
2001
Regularity for the singular Yamabe problem. Zbl 0770.53032
Mazzeo, Rafe
1991
The adiabatic limit, Hodge cohomology and Leray’s spectral sequence for a fibration. Zbl 0702.58007
Mazzeo, Rafe R.; Melrose, Richard B.
1990
Constant mean curvature hypersurfaces condensing on a submanifold. Zbl 1108.53031
Mahmoudi, F.; Mazzeo, R.; Pacard, F.
2006
Connected sum constructions for constant scalar curvature metrics. Zbl 0866.58069
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1995
Degenerate diffusion operators arising in population biology. Zbl 1309.47001
Epstein, Charles E.; Mazzeo, Rafe
2013
Connected sums of constant mean curvature surfaces in Euclidean 3 space. Zbl 0972.53010
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2001
Ricci flow on surfaces with conic singularities. Zbl 1322.53070
Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa
2015
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139
Arendt, Wolfgang; Mazzeo, Rafe
2012
Analytic torsion on manifolds with edges. Zbl 1255.58012
Mazzeo, Rafe; Vertman, Boris
2012
The moduli space of complete embedded constant mean curvature surfaces. Zbl 0966.58005
Kusner, R.; Mazzeo, R.; Pollack, D.
1996
Foliations by constant mean curvature tubes. Zbl 1096.53035
Mazzeo, Rafe; Pacard, Frank
2005
Hodge theory on hyperbolic manifolds. Zbl 0712.58006
Mazzeo, Rafe; Phillips, Ralph S.
1990
Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
1995
The Yamabe problem on stratified spaces. Zbl 1310.53034
Akutagawa, Kazuo; Carron, Gilles; Mazzeo, Rafe
2014
Wright-Fisher diffusion in one dimension. Zbl 1221.35063
Epstein, Charles L.; Mazzeo, Rafe
2010
Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds. Zbl 1193.53131
Alexakis, Spyridon; Mazzeo, Rafe
2010
Ends of the moduli space of Higgs bundles. Zbl 1352.53018
Mazzeo, Rafe; Swoboda, Jan; Weiss, Hartmut; Witt, Frederik
2016
Analytic surgery and the eta invariant. Zbl 0838.57022
Mazzeo, R. R.; Melrose, R. B.
1995
Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere. Zbl 0759.53029
Mazzeo, Rafe; Smale, Nathan
1991
Constant curvature foliations in asymptotically hyperbolic spaces. Zbl 1214.53024
Mazzeo, Rafe; Pacard, Frank
2011
Harmonic forms on manifolds with edges. Zbl 1089.58007
Hunsicker, Eugenie; Mazzeo, Rafe
2005
Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type. Zbl 1082.58029
Mazzeo, Rafe; Vasy, András
2005
Elliptic theory of differential edge operators. II: Boundary value problems. Zbl 1311.58014
Mazzeo, Rafe; Vertman, Boris
2014
Curvature and uniformization. Zbl 1003.30031
Mazzeo, Rafe; Taylor, Michael
2002
Maskit combinations of Poincaré-Einstein metrics. Zbl 1097.53029
Mazzeo, Rafe; Pacard, Frank
2006
Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra. Zbl 1234.53014
Mazzeo, Rafe; Montcouquiol, Grégoire
2011
Resolvents and Martin boundaries of product spaces. Zbl 1031.58020
Mazzeo, R.; Vasy, A.
2002
Ricci flow on surfaces with cusps. Zbl 1176.53067
Ji, Lizhen; Mazzeo, Rafe; Sesum, Natasa
2009
Symmetry for solutions of two-phase semilinear elliptic equations on hyperbolic space. Zbl 1183.35136
Birindelli, Isabeau; Mazzeo, Rafe
2009
The Nahm pole boundary condition. Zbl 1335.81111
Mazzeo, Rafe; Witten, Edward
2014
Gluing and Wormholes for the Einstein constraint equations. Zbl 1013.83008
Isenberg, James; Mazzeo, Rafe; Pollack, Daniel
2002
Analysis of degenerate diffusion operators arising in population biology. Zbl 1270.35280
Epstein, Charles L.; Mazzeo, Rafe
2013
The Novikov conjecture on Cheeger spaces. Zbl 1375.57034
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2017
The index of Dirac operators on manifolds with fibered boundaries. Zbl 1126.58009
Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2006
A signature formula for manifolds with corners of codimension two. Zbl 0883.58038
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
1997
Dirac operators, heat kernels and microlocal analysis. II: Analytic surgery. Zbl 0926.58017
Mazzeo, R.; Piazza, P.
1998
On the topology of vacuum spacetimes. Zbl 1026.83008
Isenberg, James; Mazzeo, Rafe; Pollack, Daniel
2003
Remarks on a paper of Friedlander concerning inequalities between Neumann and Dirichlet eigenvalues. Zbl 0752.58035
Mazzeo, Rafe
1991
Fredholm theory for elliptic operators on quasi-asymptotically conical spaces. Zbl 1396.35004
Degeratu, Anda; Mazzeo, Rafe
2018
Scattering theory on SL(3)/SO(3): connections with quantum 3-body scattering. Zbl 1117.43009
Mazzeo, Rafe; Vasy, András
2007
A heat trace anomaly on polygons. Zbl 1371.58017
Mazzeo, Rafe; Rowlett, Julie
2015
A nonlinear Poisson transform for Einstein metrics on product spaces. Zbl 1232.53039
Biquard, Olivier; Mazzeo, Rafe
2011
Gluing and moduli for noncompact geometric problems. Zbl 0976.53065
Mazzeo, Rafe; Pollack, Daniel
1998
Analytic continuation of the resolvent of the Laplacian on SL(3)/SO(3). Zbl 1060.58020
Mazzeo, Rafe; Vasy, András
2004
Harnack inequalities and heat kernel estimates for degenerate diffusion operators arising in population biology. Zbl 1456.92113
Epstein, Charles L.; Mazzeo, Rafe
2016
Hodge theory on Cheeger spaces. Zbl 1434.58001
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2018
Minimal surfaces with positive genus and finite total curvature in $$\mathbb{H}^2 \times \mathbb{R}$$. Zbl 1280.49062
Martín, Francisco; Mazzeo, Rafe; Rodríguez, M. Magdalena
2014
Singular Sturm-Liouville theory on manifolds. Zbl 0995.58022
Mazzeo, Rafe; McOwen, Robert
2001
Poincaré-Einstein metrics and the Schouten tensor. Zbl 1056.53028
Mazzeo, Rafe; Pacard, Frank
2003
Recent advances in the global theory of constant mean curvature surfaces. Zbl 1075.53008
Mazzeo, Rafe
2004
Hölder regularity of solutions for Schrödinger operators on stratified spaces. Zbl 1316.35060
Akutagawa, Kazuo; Carron, Gilles; Mazzeo, Rafe
2015
The moduli space of asymptotically cylindrical Calabi-Yau manifolds. Zbl 1328.53094
Conlon, Ronan J.; Mazzeo, Rafe; Rochon, Frédéric
2015
Limiting configurations for solutions of Hitchin’s equation. Zbl 1377.53033
Mazzeo, Rafe; Swoboda, Jan; Weiß, Hartmut; Witt, Frederik
2014
On the asymptotic behavior of minimal surfaces in $$\mathbb{H}^2 \times \mathbb{R}$$. Zbl 1369.49058
Mazzeo, Rafe; Kloeckner, Benoît R.
2017
Renormalized volume and the evolution of apes. Zbl 1350.53058
Bahuaud, Eric; Mazzeo, Rafe; Woolgar, Eric
2015
Conical metrics on Riemann surfaces. I: The compactified configuration space and regularity. Zbl 1443.53018
Mazzeo, Rafe; Zhu, Xuwen
2020
Ricci flow in two dimensions. Zbl 1268.53072
Isenberg, James; Mazzeo, Rafe; Sesum, Natasa
2011
Bifurcating nodoids. Zbl 1032.53002
Mazzeo, Rafe; Pacard, Frank
2002
Ricci flow on asymptotically conical surfaces with nontrivial topology. Zbl 1267.53070
Isenberg, James; Mazzeo, Rafe; Sesum, Natasa
2013
Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds. Zbl 1292.83009
Dilts, James; Isenberg, Jim; Mazzeo, Rafe; Meier, Caleb
2014
Teichmüller theory for conic surfaces. Zbl 1444.32015
Mazzeo, Rafe; Weiss, Hartmut
2017
Complete Willmore surfaces in $$\mathbb{H}^3$$ with bounded energy: boundary regularity and bubbling. Zbl 1335.53076
Alexakis, Spyros; Mazzeo, Rafe
2015
Initial data sets with ends of cylindrical type. I: The Lichnerowicz equation. Zbl 1314.83011
Chruściel, Piotr T.; Mazzeo, Rafe
2015
Parabolic geometries as conformal infinities of Einstein metrics. Zbl 1164.53352
Biquard, Olivier; Mazzeo, Rafe
2006
Resolvent of the Laplacian on geometrically finite hyperbolic manifolds. Zbl 1252.58015
Guillarmou, Colin; Mazzeo, Rafe
2012
The Ricci continuity method for the complex Monge-Ampère equation, with applications to Kähler-Einstein edge metrics. Zbl 1273.32043
Mazzeo, Rafe; Rubinstein, Yanir A.
2012
Asymptotics of the Weil-Petersson metric. Zbl 1405.32014
Mazzeo, Rafe; Swoboda, Jan
2017
Kähler-Einstein metrics singular along a smooth divisor. Zbl 1009.32013
Mazzeo, Rafe
1998
Refined intersection homology on non-Witt spaces. Zbl 1316.55002
Albin, Pierre; Banagl, Markus; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2015
The conformal theory of Alexandrov embedded constant mean curvature surfaces in $$\mathbb R^3$$. Zbl 1101.53006
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2005
Self-similar expanding solutions for the planar network flow. Zbl 1280.53062
Mazzeo, Rafe; Saez, Mariel
2011
Asymptotic geometry of the Hitchin metric. Zbl 1409.14024
Mazzeo, Rafe; Swoboda, Jan; Weiss, Hartmut; Witt, Frederik
2019
CMC hypersurfaces condensing to geodesic segments and rays in Riemannian manifolds. Zbl 1260.53111
2012
Initial data sets with ends of cylindrical type. II: The vector constraint equation. Zbl 1291.83023
Chruściel, Piotr T.; Mazzeo, Rafe; Pocchiola, Samuel
2013
Multiple-layer solutions to the Allen-Cahn equation on hyperbolic space. Zbl 1298.53034
Mazzeo, Rafe; Saez, Mariel
2014
The extended Bogomolny equations and generalized Nahm pole boundary condition. Zbl 1427.53026
He, Siqi; Mazzeo, Rafe
2019
Edge operators in geometry. Zbl 0794.58043
Mazzeo, Rafe
1992
On ‘many-black-hole’ vacuum spacetimes. Zbl 1033.83021
Chruściel, Piotr T.; Mazzeo, Rafe
2003
Constraining surface interpolations using elastic plate bending solutions with applications to geologic folding. Zbl 1162.86303
Kaven, J. Ole; Mazzeo, Rafe; Pollard, David D.
2009
Properly embedded minimal annuli in $$\mathbb{H}^2 \times \mathbb{R}$$. Zbl 1439.53062
Ferrer, Leonor; Martín, Francisco; Mazzeo, Rafe; Rodríguez, Magdalena
2019
The KW equations and the Nahm pole boundary condition with knots. Zbl 1456.81311
Mazzeo, Rafe; Witten, Edward
2020
On the geometry of cusps for $$SU(n,1)$$. Zbl 0855.32022
Burns, Dan; Mazzeo, Rafe
1996
The geometric microlocal analysis of generalized Kimura and Heston diffusions. Zbl 1321.35101
Epstein, C. L.; Mazzeo, Rafe
2014
Some global aspects of linear wave equations. Zbl 1310.35147
2013
$$L^2$$-cohomology and complete Hamiltonian manifolds. Zbl 1304.53086
Mazzeo, Rafe; Pelayo, Álvaro; Ratiu, Tudor S.
2015
Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space. Zbl 1323.35119
Ji, Lizhen; Mazzeo, Rafe; Müller, Werner; Vasy, Andras
2014
From the Hitchin section to opers through nonabelian Hodge. Zbl 1458.53035
Dumitrescu, Olivia; Fredrickson, Laura; Kydonakis, Georgios; Mazzeo, Rafe; Mulase, Motohico; Neitzke, Andrew
2021
Conical metrics on Riemann surfaces. I: The compactified configuration space and regularity. Zbl 1443.53018
Mazzeo, Rafe; Zhu, Xuwen
2020
The KW equations and the Nahm pole boundary condition with knots. Zbl 1456.81311
Mazzeo, Rafe; Witten, Edward
2020
Asymptotic geometry of the Hitchin metric. Zbl 1409.14024
Mazzeo, Rafe; Swoboda, Jan; Weiss, Hartmut; Witt, Frederik
2019
The extended Bogomolny equations and generalized Nahm pole boundary condition. Zbl 1427.53026
He, Siqi; Mazzeo, Rafe
2019
Properly embedded minimal annuli in $$\mathbb{H}^2 \times \mathbb{R}$$. Zbl 1439.53062
Ferrer, Leonor; Martín, Francisco; Mazzeo, Rafe; Rodríguez, Magdalena
2019
Ricci flow and volume renormalizability. Zbl 1427.53108
Bahuaud, Eric; Mazzeo, Rafe; Woolgar, Eric
2019
The Yamabe problem on Dirichlet spaces. Zbl 1428.53045
Akutagawa, Kazuo; Carron, Gilles; Mazzeo, Rafe
2019
Fredholm theory for elliptic operators on quasi-asymptotically conical spaces. Zbl 1396.35004
Degeratu, Anda; Mazzeo, Rafe
2018
Hodge theory on Cheeger spaces. Zbl 1434.58001
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2018
The Novikov conjecture on Cheeger spaces. Zbl 1375.57034
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2017
On the asymptotic behavior of minimal surfaces in $$\mathbb{H}^2 \times \mathbb{R}$$. Zbl 1369.49058
Mazzeo, Rafe; Kloeckner, Benoît R.
2017
Teichmüller theory for conic surfaces. Zbl 1444.32015
Mazzeo, Rafe; Weiss, Hartmut
2017
Asymptotics of the Weil-Petersson metric. Zbl 1405.32014
Mazzeo, Rafe; Swoboda, Jan
2017
Kähler-Einstein metrics with edge singularities. Zbl 1337.32037
Jeffres, Thalia; Mazzeo, Rafe; Rubinstein, Yanir A.
2016
Ends of the moduli space of Higgs bundles. Zbl 1352.53018
Mazzeo, Rafe; Swoboda, Jan; Weiss, Hartmut; Witt, Frederik
2016
Harnack inequalities and heat kernel estimates for degenerate diffusion operators arising in population biology. Zbl 1456.92113
Epstein, Charles L.; Mazzeo, Rafe
2016
Ricci flow on surfaces with conic singularities. Zbl 1322.53070
Mazzeo, Rafe; Rubinstein, Yanir A.; Sesum, Natasa
2015
A heat trace anomaly on polygons. Zbl 1371.58017
Mazzeo, Rafe; Rowlett, Julie
2015
Hölder regularity of solutions for Schrödinger operators on stratified spaces. Zbl 1316.35060
Akutagawa, Kazuo; Carron, Gilles; Mazzeo, Rafe
2015
The moduli space of asymptotically cylindrical Calabi-Yau manifolds. Zbl 1328.53094
Conlon, Ronan J.; Mazzeo, Rafe; Rochon, Frédéric
2015
Renormalized volume and the evolution of apes. Zbl 1350.53058
Bahuaud, Eric; Mazzeo, Rafe; Woolgar, Eric
2015
Complete Willmore surfaces in $$\mathbb{H}^3$$ with bounded energy: boundary regularity and bubbling. Zbl 1335.53076
Alexakis, Spyros; Mazzeo, Rafe
2015
Initial data sets with ends of cylindrical type. I: The Lichnerowicz equation. Zbl 1314.83011
Chruściel, Piotr T.; Mazzeo, Rafe
2015
Refined intersection homology on non-Witt spaces. Zbl 1316.55002
Albin, Pierre; Banagl, Markus; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2015
$$L^2$$-cohomology and complete Hamiltonian manifolds. Zbl 1304.53086
Mazzeo, Rafe; Pelayo, Álvaro; Ratiu, Tudor S.
2015
The Yamabe problem on stratified spaces. Zbl 1310.53034
Akutagawa, Kazuo; Carron, Gilles; Mazzeo, Rafe
2014
Elliptic theory of differential edge operators. II: Boundary value problems. Zbl 1311.58014
Mazzeo, Rafe; Vertman, Boris
2014
The Nahm pole boundary condition. Zbl 1335.81111
Mazzeo, Rafe; Witten, Edward
2014
Minimal surfaces with positive genus and finite total curvature in $$\mathbb{H}^2 \times \mathbb{R}$$. Zbl 1280.49062
Martín, Francisco; Mazzeo, Rafe; Rodríguez, M. Magdalena
2014
Limiting configurations for solutions of Hitchin’s equation. Zbl 1377.53033
Mazzeo, Rafe; Swoboda, Jan; Weiß, Hartmut; Witt, Frederik
2014
Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds. Zbl 1292.83009
Dilts, James; Isenberg, Jim; Mazzeo, Rafe; Meier, Caleb
2014
Multiple-layer solutions to the Allen-Cahn equation on hyperbolic space. Zbl 1298.53034
Mazzeo, Rafe; Saez, Mariel
2014
The geometric microlocal analysis of generalized Kimura and Heston diffusions. Zbl 1321.35101
Epstein, C. L.; Mazzeo, Rafe
2014
Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space. Zbl 1323.35119
Ji, Lizhen; Mazzeo, Rafe; Müller, Werner; Vasy, Andras
2014
Degenerate diffusion operators arising in population biology. Zbl 1309.47001
Epstein, Charles E.; Mazzeo, Rafe
2013
Analysis of degenerate diffusion operators arising in population biology. Zbl 1270.35280
Epstein, Charles L.; Mazzeo, Rafe
2013
Ricci flow on asymptotically conical surfaces with nontrivial topology. Zbl 1267.53070
Isenberg, James; Mazzeo, Rafe; Sesum, Natasa
2013
Initial data sets with ends of cylindrical type. II: The vector constraint equation. Zbl 1291.83023
Chruściel, Piotr T.; Mazzeo, Rafe; Pocchiola, Samuel
2013
Some global aspects of linear wave equations. Zbl 1310.35147
2013
The signature package on Witt spaces. (Le forfait signature pour les espaces de Witt.) Zbl 1260.58012
Albin, Pierre; Leichtnam, Éric; Mazzeo, Rafe; Piazza, Paolo
2012
Singular solutions of fractional order conformal Laplacians. Zbl 1255.53037
del Mar González, Maria; Mazzeo, Rafe; Sire, Yannick
2012
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroup. Zbl 1267.35139
Arendt, Wolfgang; Mazzeo, Rafe
2012
Analytic torsion on manifolds with edges. Zbl 1255.58012
Mazzeo, Rafe; Vertman, Boris
2012
Resolvent of the Laplacian on geometrically finite hyperbolic manifolds. Zbl 1252.58015
Guillarmou, Colin; Mazzeo, Rafe
2012
The Ricci continuity method for the complex Monge-Ampère equation, with applications to Kähler-Einstein edge metrics. Zbl 1273.32043
Mazzeo, Rafe; Rubinstein, Yanir A.
2012
CMC hypersurfaces condensing to geodesic segments and rays in Riemannian manifolds. Zbl 1260.53111
2012
Constant curvature foliations in asymptotically hyperbolic spaces. Zbl 1214.53024
Mazzeo, Rafe; Pacard, Frank
2011
Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra. Zbl 1234.53014
Mazzeo, Rafe; Montcouquiol, Grégoire
2011
A nonlinear Poisson transform for Einstein metrics on product spaces. Zbl 1232.53039
Biquard, Olivier; Mazzeo, Rafe
2011
Ricci flow in two dimensions. Zbl 1268.53072
Isenberg, James; Mazzeo, Rafe; Sesum, Natasa
2011
Self-similar expanding solutions for the planar network flow. Zbl 1280.53062
Mazzeo, Rafe; Saez, Mariel
2011
Wright-Fisher diffusion in one dimension. Zbl 1221.35063
Epstein, Charles L.; Mazzeo, Rafe
2010
Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds. Zbl 1193.53131
Alexakis, Spyridon; Mazzeo, Rafe
2010
Ricci flow on surfaces with cusps. Zbl 1176.53067
Ji, Lizhen; Mazzeo, Rafe; Sesum, Natasa
2009
Symmetry for solutions of two-phase semilinear elliptic equations on hyperbolic space. Zbl 1183.35136
Birindelli, Isabeau; Mazzeo, Rafe
2009
Constraining surface interpolations using elastic plate bending solutions with applications to geologic folding. Zbl 1162.86303
Kaven, J. Ole; Mazzeo, Rafe; Pollard, David D.
2009
Scattering theory on SL(3)/SO(3): connections with quantum 3-body scattering. Zbl 1117.43009
Mazzeo, Rafe; Vasy, András
2007
Constant mean curvature hypersurfaces condensing on a submanifold. Zbl 1108.53031
Mahmoudi, F.; Mazzeo, R.; Pacard, F.
2006
Maskit combinations of Poincaré-Einstein metrics. Zbl 1097.53029
Mazzeo, Rafe; Pacard, Frank
2006
The index of Dirac operators on manifolds with fibered boundaries. Zbl 1126.58009
Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2006
Parabolic geometries as conformal infinities of Einstein metrics. Zbl 1164.53352
Biquard, Olivier; Mazzeo, Rafe
2006
Foliations by constant mean curvature tubes. Zbl 1096.53035
Mazzeo, Rafe; Pacard, Frank
2005
Harmonic forms on manifolds with edges. Zbl 1089.58007
Hunsicker, Eugenie; Mazzeo, Rafe
2005
Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type. Zbl 1082.58029
Mazzeo, Rafe; Vasy, András
2005
The conformal theory of Alexandrov embedded constant mean curvature surfaces in $$\mathbb R^3$$. Zbl 1101.53006
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2005
Hodge cohomology of gravitational instantons. Zbl 1062.58002
Hausel, Tamás; Hunsicker, Eugenie; Mazzeo, Rafe
2004
Analytic continuation of the resolvent of the Laplacian on SL(3)/SO(3). Zbl 1060.58020
Mazzeo, Rafe; Vasy, András
2004
Recent advances in the global theory of constant mean curvature surfaces. Zbl 1075.53008
Mazzeo, Rafe
2004
On the topology of vacuum spacetimes. Zbl 1026.83008
Isenberg, James; Mazzeo, Rafe; Pollack, Daniel
2003
Poincaré-Einstein metrics and the Schouten tensor. Zbl 1056.53028
Mazzeo, Rafe; Pacard, Frank
2003
On ‘many-black-hole’ vacuum spacetimes. Zbl 1033.83021
Chruściel, Piotr T.; Mazzeo, Rafe
2003
Curvature and uniformization. Zbl 1003.30031
Mazzeo, Rafe; Taylor, Michael
2002
Resolvents and Martin boundaries of product spaces. Zbl 1031.58020
Mazzeo, R.; Vasy, A.
2002
Gluing and Wormholes for the Einstein constraint equations. Zbl 1013.83008
Isenberg, James; Mazzeo, Rafe; Pollack, Daniel
2002
Bifurcating nodoids. Zbl 1032.53002
Mazzeo, Rafe; Pacard, Frank
2002
Constant mean curvature surfaces with Delaunay ends. Zbl 1005.53006
Mazzeo, Rafe; Pacard, Frank
2001
Connected sums of constant mean curvature surfaces in Euclidean 3 space. Zbl 0972.53010
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2001
Singular Sturm-Liouville theory on manifolds. Zbl 0995.58022
Mazzeo, Rafe; McOwen, Robert
2001
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
1999
Constant scalar curvature metrics with isolated singularities. Zbl 0945.53024
Mazzeo, Rafe; Pacard, Frank
1999
Pseudodifferential operators on manifolds with fibred boundaries. Zbl 1125.58304
Mazzeo, Rafe; Melrose, Richard B.
1998
Dirac operators, heat kernels and microlocal analysis. II: Analytic surgery. Zbl 0926.58017
Mazzeo, R.; Piazza, P.
1998
Gluing and moduli for noncompact geometric problems. Zbl 0976.53065
Mazzeo, Rafe; Pollack, Daniel
1998
Kähler-Einstein metrics singular along a smooth divisor. Zbl 1009.32013
Mazzeo, Rafe
1998
A signature formula for manifolds with corners of codimension two. Zbl 0883.58038
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
1997
A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis. Zbl 0869.35040
Mazzeo, Rafe; Pacard, Frank
1996
Moduli spaces of singular Yamabe metrics. Zbl 0849.58012
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1996
The moduli space of complete embedded constant mean curvature surfaces. Zbl 0966.58005
Kusner, R.; Mazzeo, R.; Pollack, D.
1996
On the geometry of cusps for $$SU(n,1)$$. Zbl 0855.32022
Burns, Dan; Mazzeo, Rafe
1996
Connected sum constructions for constant scalar curvature metrics. Zbl 0866.58069
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1995
Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
1995
Analytic surgery and the eta invariant. Zbl 0838.57022
Mazzeo, R. R.; Melrose, R. B.
1995
Edge operators in geometry. Zbl 0794.58043
Mazzeo, Rafe
1992
Elliptic theory of differential edge operators. I. Zbl 0745.58045
Mazzeo, Rafe
1991
Unique continuation at infinity and embedded eigenvalues for asymptotically hyperbolic manifolds. Zbl 0725.58044
Mazzeo, Rafe
1991
Regularity for the singular Yamabe problem. Zbl 0770.53032
Mazzeo, Rafe
1991
Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere. Zbl 0759.53029
Mazzeo, Rafe; Smale, Nathan
1991
Remarks on a paper of Friedlander concerning inequalities between Neumann and Dirichlet eigenvalues. Zbl 0752.58035
Mazzeo, Rafe
1991
The adiabatic limit, Hodge cohomology and Leray’s spectral sequence for a fibration. Zbl 0702.58007
Mazzeo, Rafe R.; Melrose, Richard B.
1990
...and 3 more Documents
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#### Cited by 994 Authors

 39 Mazzeo, Rafe R. 23 Vasy, András 20 Pacard, Frank 19 Guillarmou, Colin 19 Wei, Juncheng 18 Rochon, Frédéric 17 González, María del Mar 15 Albin, Pierre 14 Vertman, Boris 13 Del Pino, Manuel A. 13 Musso, Monica 12 Loya, Paul A. 12 Moroianu, Sergiu 11 Gover, Ashwin Rod 11 Sire, Yannick 10 Park, Jinsung 10 Rubinstein, Yanir A. 10 Sá Barreto, Antônio 9 Borthwick, David 9 Carron, Gilles 9 Chang, Sun-Yung Alice 9 Chen, Xiuxiong 9 Delay, Erwann 9 Mahmoudi, Fethi 9 Malchiodi, Andrea 9 Nistor, Victor 9 Perry, Peter A. 8 Bahuaud, Eric 8 Hassell, Andrew 8 Melrose, Richard Burt 8 Naud, Frédéric 8 Piazza, Paolo 7 Biquard, Olivier 7 Chruściel, Piotr Tadeusz 7 Dyatlov, Semyon 7 Etesi, Gábor 7 Hunsicker, Eugenie 7 Kowalczyk, Michał 7 Pop, Camelia Alexandra 6 Bei, Francesco 6 Berman, Robert J. 6 Chen, Hua 6 Chtioui, Hichem 6 Feehan, Paul M. N. 6 Guenancia, Henri 6 Kim, Seunghyeok 6 Leung, Man Chun 6 Mazzieri, Lorenzo 6 Pollack, Daniel 6 Rowlett, Julie 6 Wang, Yuanqi 6 Xiong, Jingang 6 Yang, Hui 6 Zhu, Xuwen 5 Akutagawa, Kazuo 5 Ammann, Bernd Eberhard 5 Chen, Huyuan 5 Dávila, Juan 5 DelaTorre, Azahara 5 Epstein, Charles Lawrence 5 Guo, Zongming 5 Gursky, Matthew J. 5 Han, Qing 5 Jin, Tianling 5 Lauter, Robert 5 Mendoza, Gerardo A. 5 Piccione, Paolo 5 Singer, Michael A. 5 Sun, Song 5 ter Elst, Antonius Frederik Maria 5 Waldron, Andrew K. 5 Wei, Yawei 5 Woolgar, Eric 5 Zou, Wenming 4 Abdelhedi, Wael 4 Anderson, Michael T. 4 Ao, Weiwei 4 Arezzo, Claudio 4 Banagl, Markus 4 Bao, Jiguang 4 Chan, Hardy 4 Chen, Xi 4 Corvino, Justin 4 Dai, Xianzhe 4 Daners, Daniel 4 de Borbon, Martin 4 Espinar, José María 4 Frank, Rupert L. 4 Friedman, Greg 4 Han, Zheng-Chao 4 Hauswirth, Laurent 4 Hilgert, Joachim 4 Hintz, Peter 4 Jakobson, Dmitry 4 Krainer, Thomas 4 Leichtnam, Eric 4 Li, YanYan 4 Li, Yimei 4 Lin, Chang-Shou 4 Liu, Xiaochun ...and 894 more Authors
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#### Cited in 178 Serials

 55 Communications in Partial Differential Equations 54 Communications in Mathematical Physics 48 Journal of Functional Analysis 45 The Journal of Geometric Analysis 44 Advances in Mathematics 38 Transactions of the American Mathematical Society 38 Calculus of Variations and Partial Differential Equations 35 Mathematische Annalen 34 Journal of Differential Equations 31 Duke Mathematical Journal 26 Annales de l’Institut Fourier 23 Journal of Geometry and Physics 21 Journal of High Energy Physics 20 Annals of Global Analysis and Geometry 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 Annales Henri Poincaré 16 Inventiones Mathematicae 15 Journal für die Reine und Angewandte Mathematik 15 Proceedings of the American Mathematical Society 15 Geometry & Topology 14 Journal of Mathematical Analysis and Applications 14 Geometric and Functional Analysis. GAFA 12 Differential Geometry and its Applications 12 Discrete and Continuous Dynamical Systems 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Mathematische Zeitschrift 9 Journal d’Analyse Mathématique 8 Journal of the American Mathematical Society 8 Journal of the European Mathematical Society (JEMS) 8 Journal of Spectral Theory 7 Communications on Pure and Applied Mathematics 7 Letters in Mathematical Physics 7 Geometriae Dedicata 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Journal of Mathematical Physics 6 Acta Mathematica 6 Manuscripta Mathematica 6 Mathematische Nachrichten 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Communications in Contemporary Mathematics 6 Journal of Topology and Analysis 5 Archive for Rational Mechanics and Analysis 5 Journal of the Mathematical Society of Japan 5 Memoirs of the American Mathematical Society 5 Journal of Evolution Equations 4 Israel Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Revista Matemática Iberoamericana 4 Bulletin of the American Mathematical Society. New Series 4 Selecta Mathematica. New Series 4 Annals of Mathematics. Second Series 4 Communications on Pure and Applied Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Analysis & PDE 4 Advances in Nonlinear Analysis 3 Applicable Analysis 3 Classical and Quantum Gravity 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Compositio Mathematica 3 Integral Equations and Operator Theory 3 International Journal of Mathematics 3 Potential Analysis 3 NoDEA. Nonlinear Differential Equations and Applications 3 Mathematical Physics, Analysis and Geometry 3 Advanced Nonlinear Studies 3 Milan Journal of Mathematics 3 Boundary Value Problems 3 Frontiers of Mathematics in China 3 Science China. Mathematics 3 Annales Mathématiques du Québec 2 General Relativity and Gravitation 2 Nuclear Physics. B 2 Reviews in Mathematical Physics 2 Bulletin of the London Mathematical Society 2 Commentarii Mathematici Helvetici 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Quarterly of Applied Mathematics 2 Results in Mathematics 2 Tohoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 SIAM Journal on Applied Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 Bulletin des Sciences Mathématiques 2 Electronic Research Announcements of the American Mathematical Society 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of the Institute of Mathematics of Jussieu 2 Complex Variables and Elliptic Equations 2 Journal of Noncommutative Geometry 2 Journal of Topology 2 Discrete and Continuous Dynamical Systems. Series S 2 Mathematical Geosciences ...and 78 more Serials
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#### Cited in 53 Fields

 485 Partial differential equations (35-XX) 460 Differential geometry (53-XX) 439 Global analysis, analysis on manifolds (58-XX) 102 Several complex variables and analytic spaces (32-XX) 84 Relativity and gravitational theory (83-XX) 72 Operator theory (47-XX) 71 Quantum theory (81-XX) 59 Algebraic geometry (14-XX) 51 Manifolds and cell complexes (57-XX) 28 Functions of a complex variable (30-XX) 26 Functional analysis (46-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Algebraic topology (55-XX) 23 Probability theory and stochastic processes (60-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Topological groups, Lie groups (22-XX) 19 Number theory (11-XX) 16 $$K$$-theory (19-XX) 13 Potential theory (31-XX) 13 Ordinary differential equations (34-XX) 8 Convex and discrete geometry (52-XX) 7 Special functions (33-XX) 7 Abstract harmonic analysis (43-XX) 6 Integral equations (45-XX) 6 Geometry (51-XX) 6 Numerical analysis (65-XX) 6 Mechanics of deformable solids (74-XX) 5 General topology (54-XX) 4 Group theory and generalizations (20-XX) 4 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Nonassociative rings and algebras (17-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)