Rafe Mazzeo

All Publications

• Well-posedness of nonlinear flows on manifolds of bounded geometry ANNALS OF GLOBAL ANALYSIS AND GEOMETRY Bahuaud, E., Guenther, C., Isenberg, J., Mazzeo, R. 2024; 65 (4)

  View details for DOI 10.1007/s10455-023-09940-x

  View details for Web of Science ID 001214824800002

• DOUBLE B-FIBRATIONS AND DESINGULARIZATION OF THE X-RAY TRANSFORM ON MANIFOLDS WITH STRICTLY CONVEX BOUNDARY JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES Mazzeo, R., Monard, F. 2024; 11

  View details for DOI 10.5802/jep.266

  View details for Web of Science ID 001278451700002

• CONVERGENCE STABILITY FOR RICCI FLOW ON MANIFOLDS WITH BOUNDED GEOMETRY PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Bahuaud, E., Guenther, C., Isenberg, J., Mazzeo, R. 2023

  View details for DOI 10.1090/proc/16593

  View details for Web of Science ID 001123825300001

• Short-time existence for the network flow COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS Lira, J., Mazzeo, R., Pluda, A., Saez, M. 2023

  View details for DOI 10.1002/cpa.22111

  View details for Web of Science ID 001027300600001

• OPERS AND THE TWISTED BOGOMOLNY EQUATIONS ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE He, S., Mazzeo, R. 2022; 55 (5): 1329-1356

  View details for DOI 10.24033/asens.2517

  View details for Web of Science ID 000917486500003

• Asymptotic geometry of the moduli space of parabolic SL(2, C)-Higgs bundles JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES Fredrickson, L., Mazzeo, R., Swoboda, J., Weiss, H. 2022

  View details for DOI 10.1112/jlms.12581

  View details for Web of Science ID 000792049400001

• Conformal fields and the structure of the space of solutions of the Einstein constraint equations ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS Holst, M., Maxwell, D., Mazzeo, R. 2022; 26 (5): 1157-1201

  View details for Web of Science ID 000975911300003

• Manifolds with Many Rarita-Schwinger Fields COMMUNICATIONS IN MATHEMATICAL PHYSICS Baer, C., Mazzeo, R. 2021

  View details for DOI 10.1007/s00220-021-04030-0

  View details for Web of Science ID 000640734700001

• Conical Metrics on Riemann Surfaces, II: Spherical Metrics INTERNATIONAL MATHEMATICS RESEARCH NOTICES Mazzeo, R., Zhu, X. 2021

  View details for DOI 10.1093/imrn/rnab011

  View details for Web of Science ID 000755481400001

• FROM THE HITCHIN SECTION TO OPERS THROUGH NONABELIAN HODGE JOURNAL OF DIFFERENTIAL GEOMETRY Dumitrescu, O., Fredrickson, L., Kydonakis, G., Mazzeo, R., Mulase, M., Neitzke, A. 2021; 117 (2): 223–53

  View details for DOI 10.4310/jdg/1612975016

  View details for Web of Science ID 000628806400002

• THE EXTENDED BOGOMOLNY EQUATIONS WITH GENERALIZED NAHM POLE BOUNDARY CONDITIONS, II DUKE MATHEMATICAL JOURNAL He, S., Mazzeo, R. 2020; 169 (12): 2281–2335

  View details for DOI 10.1215/00127094-2020-0009

  View details for Web of Science ID 000562750700003

• Conical metrics on Riemann surfaces I: The compactified configuration space and regularity GEOMETRY & TOPOLOGY Mazzeo, R., Zhu, X. 2020; 24 (1): 309–72

  View details for DOI 10.2140/gt.2020.24.309

  View details for Web of Science ID 000522726500004

• The KW equations and the Nahm pole boundary condition with knots COMMUNICATIONS IN ANALYSIS AND GEOMETRY Mazzeo, R., Witten, E. 2020; 28 (4): 871–942

  View details for Web of Science ID 000577159600005

• Properly embedded minimal annuli in H(2)xR MATHEMATISCHE ANNALEN Ferrer, L., Martin, F., Mazzeo, R., Rodriguez, M. 2019; 375 (1-2): 541–94

  View details for DOI 10.1007/s00208-019-01840-5

  View details for Web of Science ID 000485324000017

• Asymptotic Geometry of the Hitchin Metric COMMUNICATIONS IN MATHEMATICAL PHYSICS Mazzeo, R., Swoboda, J., Weiss, H., Witt, F. 2019; 367 (1): 151–91

  View details for DOI 10.1007/s00220-019-03358-y

  View details for Web of Science ID 000462908800005

• Ricci Flow and Volume Renormalizability SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS Bahuaud, E., Mazzeo, R., Woolgar, E. 2019; 15

  View details for DOI 10.3842/SIGMA.2019.057

  View details for Web of Science ID 000479323800001

• The extended Bogomolny equations and generalized Nahm pole boundary condition GEOMETRY & TOPOLOGY He, S., Mazzeo, R. 2019; 23 (5): 2475–2517

  View details for DOI 10.2140/gt.2019.23.2475

  View details for Web of Science ID 000491175500006

• Hodge theory on Cheeger spaces JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK Albin, P., Leichtnam, E., Mazzeo, R., Piazza, P. 2018; 744: 29–102

  View details for DOI 10.1515/crelle-2015-0095

  View details for Web of Science ID 000448692400002

• Fredholm theory for elliptic operators on quasi-asymptotically conical spaces PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY Degeratu, A., Mazzeo, R. 2018; 116: 1112–60

  View details for DOI 10.1112/plms.12105

  View details for Web of Science ID 000431506400003

• On the Asymptotic Behavior of Minimal Surfaces in H-2 x R INDIANA UNIVERSITY MATHEMATICS JOURNAL Kloeckner, B. R., Mazzeo, R. 2017; 66 (2): 631–58

  View details for Web of Science ID 000418807600009

• ENDS OF THE MODULI SPACE OF HIGGS BUNDLES DUKE MATHEMATICAL JOURNAL Mazzeo, R., Swoboda, J., Weiss, H., Witt, F. 2016; 165 (12): 2227-2271

  View details for DOI 10.1215/00127094-3476914

  View details for Web of Science ID 000383218400001

• Kahler-Einstein metrics with edge singularities ANNALS OF MATHEMATICS Jeffres, T., Mazzeo, R., Rubinstein, Y. A. 2016; 183 (1): 95-176

  View details for DOI 10.4007/annals.2016.183.1.3

  View details for Web of Science ID 000367717600003

• COMPLETE WILLMORE SURFACES IN H-3 WITH BOUNDED ENERGY: BOUNDARY REGULARITY AND BUBBLING JOURNAL OF DIFFERENTIAL GEOMETRY Alexakis, S., Mazzeo, R. 2015; 101 (3): 369-422

  View details for Web of Science ID 000365154800001

• The Moduli Space of Asymptotically Cylindrical Calabi-Yau Manifolds COMMUNICATIONS IN MATHEMATICAL PHYSICS Conlon, R. J., Mazzeo, R., Rochon, F. 2015; 338 (3): 953-1009

  View details for DOI 10.1007/s00220-015-2383-z

  View details for Web of Science ID 000357581900002

• A heat trace anomaly on polygons MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY Mazzeo, R., Rowlett, J. 2015; 159 (2): 303-319

  View details for DOI 10.1017/S0305004115000365

  View details for Web of Science ID 000358794600007

• Holder regularity of solutions for Schrodinger operators on stratified spaces JOURNAL OF FUNCTIONAL ANALYSIS Akutagawa, K., Carron, G., Mazzeo, R. 2015; 269 (3): 815-840

  View details for DOI 10.1016/j.jfa.2015.02.003

  View details for Web of Science ID 000356318400007

• Initial Data Sets with Ends of Cylindrical Type: I. The Lichnerowicz Equation ANNALES HENRI POINCARE Chrusciel, P. T., Mazzeo, R. 2015; 16 (5): 1231-1266

  View details for DOI 10.1007/s00023-014-0339-z

  View details for Web of Science ID 000351511000004

• Refined intersection homology on non-Witt spaces JOURNAL OF TOPOLOGY AND ANALYSIS Albin, P., Banagl, M., Leichtnam, E., Mazzeo, R., Piazza, P. 2015; 7 (1): 105-133

  View details for DOI 10.1142/S1793525315500065

  View details for Web of Science ID 000345921000006

• L-2-cohomology and complete Hamiltonian manifolds JOURNAL OF GEOMETRY AND PHYSICS Mazzeo, R., Pelayo, A., Ratiu, T. S. 2015; 87: 305-313

  View details for DOI 10.1016/j.geomphys.2014.07.012

  View details for Web of Science ID 000347760000024

• RICCI FLOW ON SURFACES WITH CONIC SINGULARITIES ANALYSIS & PDE Mazzeo, R., Rubinstein, Y. A., Sesum, N. 2015; 8 (4): 839-882

  View details for DOI 10.2140/apde.2015.8.839

  View details for Web of Science ID 000364338400003

• The Yamabe problem on stratified spaces GEOMETRIC AND FUNCTIONAL ANALYSIS Akutagawa, K., Carron, G., Mazzeo, R. 2014; 24 (4): 1039-1079

  View details for DOI 10.1007/s00039-014-0298-z

  View details for Web of Science ID 000340682200001

• MULTIPLE-LAYER SOLUTIONS TO THE ALLEN-CAHN EQUATION ON HYPERBOLIC SPACE PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Mazzeo, R., Saez, M. 2014; 142 (8): 2859-2869

  View details for Web of Science ID 000342297300027

• Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds CLASSICAL AND QUANTUM GRAVITY Dilts, J., Isenberg, J., Mazzeo, R., Meier, C. 2014; 31 (6)

  View details for DOI 10.1088/0264-9381/31/6/065001

  View details for Web of Science ID 000332207100003

• Minimal surfaces with positive genus and finite total curvature in H-2 x R GEOMETRY & TOPOLOGY Martin, F., Mazzeo, R., Magdalena Rodriguez, M. 2014; 18 (1): 141-177

  View details for DOI 10.2140/gt.2014.18.141

  View details for Web of Science ID 000330429900005

• Elliptic Theory of Differential Edge Operators, II: Boundary Value Problems INDIANA UNIVERSITY MATHEMATICS JOURNAL Mazzeo, R., Vertman, B. 2014; 63 (6): 1911-1955

  View details for Web of Science ID 000348176000011

• Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space COMMENTARII MATHEMATICI HELVETICI Ji, L., Mazzeo, R., Mueller, W., Vasy, A. 2014; 89 (4): 867-894

  View details for DOI 10.4171/CMH/336

  View details for Web of Science ID 000345957900003

• Ricci flow on asymptotically conical surfaces with nontrivial topology JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK Isenberg, J., Mazzeo, R., Sesum, N. 2013; 676: 227-248

  View details for DOI 10.1515/CRELLE.2011.186

  View details for Web of Science ID 000315592500008

• Degenerate diffusion operators arising in population biology Princeton Annals of Mathematical Studies Mazzeo, R., Epstein, C. L. 2013; 185
• Initial data sets with ends of cylindrical type: II. The vector constraint equation ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS Chrusciel, P. T., Mazzeo, R., Pocchiola, S. 2013; 17 (4): 829-865

  View details for Web of Science ID 000334579500004

• Some global aspects of linear wave equations Clay Mathematical Proceedings Mazzeo, R., Baskin, D. edited by Ellwood, D., Rodnianski, I., Staffilani, G., Wunsch, J. 2013
• FRIEDLANDER'S EIGENVALUE INEQUALITIES AND THE DIRICHLET-TO-NEUMANN SEMIGROUP COMMUNICATIONS ON PURE AND APPLIED ANALYSIS Arendt, W., Mazzeo, R. 2012; 11 (6): 2201-2212

  View details for DOI 10.3934/cpaa.2012.11.2201

  View details for Web of Science ID 000308023800003

• Analytic torsion on manifolds with edges ADVANCES IN MATHEMATICS Mazzeo, R., Vertman, B. 2012; 231 (2): 1000-1040

  View details for DOI 10.1016/j.aim.2012.05.008

  View details for Web of Science ID 000307624200017

• Singular Solutions of Fractional Order Conformal Laplacians JOURNAL OF GEOMETRIC ANALYSIS del Mar Gonzalez, M., Mazzeo, R., Sire, Y. 2012; 22 (3): 845-863

  View details for DOI 10.1007/s12220-011-9217-9

  View details for Web of Science ID 000305006600011

• The Ricci continuity method for the complex Monge-Ampere equation, with applications to Kahler-Einstein edge metrics COMPTES RENDUS MATHEMATIQUE Mazzeo, R., Rubinstein, Y. A. 2012; 350 (13-14): 693-697

  View details for DOI 10.1016/j.crma.2012.07.001

  View details for Web of Science ID 000309989400011

• THE SIGNATURE PACKAGE ON WITT SPACES ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE Albin, P., Leichtnam, E., Mazzeo, R., Piazza, P. 2012; 45 (2): 241-310

  View details for Web of Science ID 000307429400002

• Resolvent of the Laplacian on geometrically finite hyperbolic manifolds INVENTIONES MATHEMATICAE Guillarmou, C., Mazzeo, R. 2012; 187 (1): 99-144

  View details for DOI 10.1007/s00222-011-0330-y

  View details for Web of Science ID 000299080600004

• Spectral analysis of the Laplacian on geometrically finite hyperbolic manifolds Inventiones Mathematicae Mazzeo, R., Guillarmou, C. 2012; 187 (1): 94 - 144
• The Ricci continuity method for the complex Monge-Amp´ere equation, with applications to Kähler-Einstein edge metrics Comptes Rendus Academie Sciences Paris, Series I Rubinstein, Y., Mazzeo, R. 2012; 350: 693–697
• Analysis of degenerate diffusion operators arising in population biology From Fourier Analysis and Number Theory to Radon Transforms and Geometry Mazzeo, R., Epstein, C. L., Taylor, B. A. edited by Farkas, H. M., Gunning, R. C., Knopp, M. I. Springer, New York. 2012: 203–216
• CMC hypersurfaces condensing to geodesic segments and rays in Riemannian manifolds ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE Butscher, A., Mazzeo, R. 2012; 11 (3): 653-706

  View details for Web of Science ID 000315173000007

• INFINITESIMAL RIGIDITY OF CONE-MANIFOLDS AND THE STOKER PROBLEM FOR HYPERBOLIC AND EUCLIDEAN POLYHEDRA JOURNAL OF DIFFERENTIAL GEOMETRY Mazzeo, R., Montcouquiol, G. 2011; 87 (3): 525-576

  View details for Web of Science ID 000295439600005

• A nonlinear Poisson transform for Einstein metrics on product spaces JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY Biquard, O., Mazzeo, R. 2011; 13 (5): 1423-1475

  View details for DOI 10.4171/JEMS/285

  View details for Web of Science ID 000295714100007

• Ricci flow on open surfaces Surveys in Geometric Analysis and Relativity Mazzeo, R., Isenberg, J., Sesum, N. edited by Bray, H. L., Minicozzi, W. P. Higher Education Press, Beijing. 2011: 259–280
• Constant curvature foliations in asymptotically hyperbolic spaces REVISTA MATEMATICA IBEROAMERICANA Mazzeo, R., Pacard, F. 2011; 27 (1): 303-333

  View details for Web of Science ID 000289926100009

• Renormalized Area and Properly Embedded Minimal Surfaces in Hyperbolic 3-Manifolds COMMUNICATIONS IN MATHEMATICAL PHYSICS Alexakis, S., Mazzeo, R. 2010; 297 (3): 621-651

  View details for DOI 10.1007/s00220-010-1054-3

  View details for Web of Science ID 000278616200002

• WRIGHT-FISHER DIFFUSION IN ONE DIMENSION SIAM JOURNAL ON MATHEMATICAL ANALYSIS Epstein, C. L., Mazzeo, R. 2010; 42 (2): 568-608

  View details for DOI 10.1137/090766152

  View details for Web of Science ID 000277835900002

• Ricci flow on surfaces with cusps MATHEMATISCHE ANNALEN Ji, L., Mazzeo, R., Sesum, N. 2009; 345 (4): 819-834

  View details for DOI 10.1007/s00208-009-0377-x

  View details for Web of Science ID 000269918600003

• Symmetry for Solutions of Two-phase Semilinear Elliptic Equations on Hyperbolic Space INDIANA UNIVERSITY MATHEMATICS JOURNAL Birindelli, I., Mazzeo, R. 2009; 58 (5): 2347-2368

  View details for Web of Science ID 000272411000014

• Self-similar expanding solutions for the planar network flow Analytic aspects of problems in Riemannian geometry: Elliptic PDEs, solitons and computer imaging Mazzeo, R., Saez, M. edited by Baird, P., Soufi, A. E., Fardoun, A., Regbaoui, R. 2009: 159–73
• Constraining Surface Interpolations Using Elastic Plate Bending Solutions with Applications to Geologic Folding MATHEMATICAL GEOSCIENCES Kaven, J. O., Mazzeo, R., Pollard, D. D. 2009; 41 (1): 1-14

  View details for DOI 10.1007/s11004-008-9201-5

  View details for Web of Science ID 000262316000001

• Using total-variation regularization for intensity modulated radiation therapy inverse planning with field-specific numbers of segments PHYSICS IN MEDICINE AND BIOLOGY Zhu, L., Lee, L., Ma, Y., Ye, Y., Mazzeo, R., Xing, L. 2008; 53 (23): 6653-6672

  Abstract

  Currently, there are two types of treatment planning algorithms for intensity modulated radiation therapy (IMRT). The beamlet-based algorithm generates beamlet intensity maps with high complexity, resulting in large numbers of segments in the delivery after a leaf-sequencing algorithm is applied. The segment-based direct aperture optimization (DAO) algorithm includes the physical constraints of the deliverable apertures in the calculation, and achieves a conformal dose distribution using a small number of segments. However, the number of segments is pre-fixed in most of the DAO approaches, and the typical random search scheme in the optimization is computationally intensive. A regularization-based algorithm is proposed to overcome the drawbacks of the DAO method. Instead of smoothing the beamlet intensity maps as in many existing methods, we include a total-variation term in the optimization objective function to reduce the number of signal levels of the beam intensity maps. An aperture rectification algorithm is then applied to generate a significantly reduced number of deliverable apertures. As compared to the DAO algorithm, our method has an efficient form of quadratic optimization, with an additional advantage of optimizing field-specific numbers of segments based on the modulation complexity. The proposed approach is evaluated using two clinical cases. Under the condition that the clinical acceptance criteria of the treatment plan are satisfied, for the prostate patient, the total number of segments for five fields is reduced from 61 using the Eclipse planning system to 35 using the proposed algorithm; for the head and neck patient, the total number of segments for seven fields is reduced from 107 to 28. The head and neck result is also compared to that using an equal number of four segments for each field. The comparison shows that using field-specific numbers of segments achieves a much improved dose distribution.

  View details for DOI 10.1088/0031-9155/53/23/002

  View details for Web of Science ID 000260859000002

  View details for PubMedID 18997262

• FLEXIBILITY OF SINGULAR EINSTEIN METRICS ASTERISQUE Mazzeo, R. 2008: 169-193

  View details for Web of Science ID 000272458700009

• Using total-variation regularization for segment-based dose optimization with specific numbers of segments Physics in Medicine and Biology Mazzeo, R., Zhu, L., Lee, L., Ma, Y., Ye, Y., Xing, L. 2008; 53: 6653 - 6672
• Fast aperture-based inverse treatment planning using mixed integer and quadratic optimization 50th Annual Meeting of the American-Society-for-Therapeutic-Radiology-and-Oncology (ASTRO) Zhu, L., Ma, Y., Lee, L., Ye, Y., Mazzeo, R., Xing, L. ELSEVIER SCIENCE INC. 2008: S675–S675

  View details for Web of Science ID 000258805302411

• Scattering theory on SL(3)/SO(3): Connections with quantum 3-body scattering PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY Mazzeo, R., Vasy, A. 2007; 94: 545-593

  View details for DOI 10.1112/plms/pdl004

  View details for Web of Science ID 000247283100001

• Review of Nonlinear elliptic equations in conformal geometry Bulletin of the American Mathematical Society Mazzeo, R. 2007; 44: 323 - 330
• Maskit combinations of Poincare-Einstein metrics ADVANCES IN MATHEMATICS Mazzeo, R., Pacard, F. 2006; 204 (2): 379-412

  View details for DOI 10.1016/j.aim.2005.06.001

  View details for Web of Science ID 000239821400002

• Constant mean curvature hypersurfaces condensing on a submanifold GEOMETRIC AND FUNCTIONAL ANALYSIS Mahmoudi, F., Mazzeo, R., Pacard, F. 2006; 16 (4): 924-958

  View details for DOI 10.1007/s00039-006-0566-7

  View details for Web of Science ID 000240729500006

• The index of Dirac operators on manifolds with fibered boundaries Joint Meeting of the Belgian (BMS), Dutch (KWG), Luxembourg (SML), and French (SMF) Mathematical Societies (BeNeLuxFra) Leichtnam, E., Mazzeo, R., Piazza, P. BELGIAN MATHEMATICAL SOC TRIOMPHE. 2006: 845–55

  View details for Web of Science ID 000244513500006

• Constant mean curvature hypersurfaces condensing along a submanifold Geometric and Functional Analysis Mazzeo, R., Mahmoudi, F., Pacard, F. 2006; 16 (4): 924 - 958
• Parabolic geometries as conformal infinities of Einstein metrics Archivum Mathematicum Mazzeo, R., Biquard, O. 2006; 42: 85 - 104
• Resolution blowups, spectral convergence and quasi-asymptotically conical spaces Journees Equations aux Derivees Partielles Mazzeo, R. 2006; VIII: 16
• Harmonic forms on manifolds with edges INTERNATIONAL MATHEMATICS RESEARCH NOTICES Hunsicker, E., Mazzeo, R. 2005: 3229-3272

  View details for Web of Science ID 000234270200002

• Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type JOURNAL OF FUNCTIONAL ANALYSIS Mazzeo, R., Vasy, A. 2005; 228 (2): 311-368

  View details for DOI 10.1016/j.jfa.2004.10.003

  View details for Web of Science ID 000233141400003

• Foliations by constant mean curvature tubes COMMUNICATIONS IN ANALYSIS AND GEOMETRY Mazzeo, R., Pacard, F. 2005; 13 (4): 633-670

  View details for Web of Science ID 000234616400001

• Conformal theory of Alexandrov embedded constant mean curvature surfaces in R3 AMS/Clay Mathematics Proceedings Mazzeo, R., Paccard, F., Pollack, D. edited by Hoffman, D. 2005
• Analytic continuation of the resolvent of the Laplacian on SL(3)/SO(3) AMERICAN JOURNAL OF MATHEMATICS Mazzeo, R., Vasy, A. 2004; 126 (4): 821-844

  View details for Web of Science ID 000223184500005

• Hodge cohomology of gravitational instantons DUKE MATHEMATICAL JOURNAL Hausel, T., Hunsicker, E., Mazzeo, R. 2004; 122 (3): 485-548

  View details for Web of Science ID 000221392500003

• Pseudodifferential analysis for the resolvent on noncompact symmetric spaces Partial differential equations and inverse problems Mazzeo, R. 2004; 362: 289 - 301
• Poincare-Einstein metrics and the Schouten tensor PACIFIC JOURNAL OF MATHEMATICS Mazzeo, R., Pacard, F. 2003; 212 (1): 169-185

  View details for Web of Science ID 000186342300012

• On 'many-black-hole' vacuum spacetimes CLASSICAL AND QUANTUM GRAVITY Chrusciel, P. T., Mazzeo, R. 2003; 20 (4): 729-754

  View details for Web of Science ID 000181747400011

• On the topology of vacuum spacetimes ANNALES HENRI POINCARE Isenberg, J., Mazzeo, R., Pollack, D. 2003; 4 (2): 369-383

  View details for DOI 10.1007/s00023-003-0133-9

  View details for Web of Science ID 000183542000007

• Gluing and wormholes for the Einstein constraint equations COMMUNICATIONS IN MATHEMATICAL PHYSICS Isenberg, J., Mazzeo, R., Pollack, D. 2002; 231 (3): 529-568

  View details for DOI 10.1007/s00220-002-0722-3

  View details for Web of Science ID 000180033600006

• Resolvents and Martin boundaries of product spaces GEOMETRIC AND FUNCTIONAL ANALYSIS Mazzeo, R., Vasy, A. 2002; 12 (5): 1018-1079

  View details for Web of Science ID 000179562000005

• Bifurcating nodoids Mazzeo, R., Pacard, F. 2002: 169–86
• Resolvents, Martin boundaries and Riemannian products Geometric and Functional Analysis Mazzeo, R., Vassy, A. 2002; 12: 1018 - 1079
• Curvature and uniformization ISRAEL JOURNAL OF MATHEMATICS Mazzeo, R., Taylor, M. 2002; 130: 323-346

  View details for Web of Science ID 000177638500016

• Singular Sturm-Liouville theory on manifolds JOURNAL OF DIFFERENTIAL EQUATIONS Mazzeo, R., McOwen, R. 2001; 176 (2): 387-444

  View details for Web of Science ID 000172161200003

• Connected sums of constant mean curvature surfaces in Euclidean 3 space JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK Mazzeo, R., Pacard, F., Pollack, D. 2001; 536: 115-165

  View details for Web of Science ID 000170234700005

• Constant mean curvature surfaces with Delaunay ends COMMUNICATIONS IN ANALYSIS AND GEOMETRY Mazzeo, R., Pacard, F. 2001; 9 (1): 169-237

  View details for Web of Science ID 000166699800007

• Spectral invariants The Emissary Mazzeo, R. 2001
• Recent advances in the global theory of constant mean curvature surfaces Noncompact Problems at the Intersection of Geometry, Analysis, and Topology Mazzeo, R. edited by Bahri, A., Klainerman, S., Vogelius, M. American Mathematical Society. 2001
• Constant scalar curvature metrics with isolated singularities DUKE MATHEMATICAL JOURNAL Mazzeo, R., Pacard, F. 1999; 99 (3): 353-418

  View details for Web of Science ID 000082751100001

• Refined asymptotics for constant scalar curvature metrics with isolated singularities INVENTIONES MATHEMATICAE Korevaar, N., Mazzeo, R., Pacard, F., Schoen, R. 1999; 135 (2): 233-272

  View details for Web of Science ID 000078265700001

• Pseudodifferential operators on manifolds with fibred boundary Asian Journal of Mathematics Mazzeo, R., Melrose, R. B. 1999; 2 (4): 833 - 866
• Kahler-Einstein metrics singular along a smooth divisor Journees Equations aux Derivees Partielles, Saint-Jean-de-Monts Mazzeo, R. 1999
• Gluing and moduli for noncompact geometric problems Mazzeo, R., Pollack, D. 1998: 17–51
• Dirac operators, heat kernels and microlocal analysis Part II: Analytic surgery Rendicondi di Matematica e delle sue applicazioni Mazzeo, R., Piazza, P. 1998; 18: 221 - 288
• A signature formula for manifolds with corners of codimension two TOPOLOGY Hassell, A., Mazzeo, R., MELROSE, R. B. 1997; 36 (5): 1055-1075

  View details for Web of Science ID A1997WX67500004

• A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis JOURNAL OF DIFFERENTIAL GEOMETRY Mazzeo, R., Pacard, F. 1996; 44 (2): 331-370

  View details for Web of Science ID A1996WD48500004

• Moduli spaces of singular Yamabe metrics JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Mazzeo, R., Pollack, D., Uhlenbeck, K. 1996; 9 (2): 303-344

  View details for Web of Science ID A1996UB12000001

• The moduli space of complete embedded constant mean curvature surfaces GEOMETRIC AND FUNCTIONAL ANALYSIS KUSNER, R., Mazzeo, R., Pollack, D. 1996; 6 (1): 120-137

  View details for Web of Science ID A1996TY87500005

• On the geometry of cusps for SU (n, 1) Manifolds and Geometry Mazzeo, R., Burns, D. Cambridge University Press. 1996
• Review of "Heat Kernels and Dirac Operators" Bulletin of the American Mathematical Society Mazzeo, R. 1996; 33: 125 - 129
• ANALYTIC SURGERY AND THE ETA-INVARIANT GEOMETRIC AND FUNCTIONAL ANALYSIS MAZZEO, R. R., MELROSE, R. B. 1995; 5 (1): 14-75

  View details for Web of Science ID A1995QH77600002

• Analytic surgery and the accumulation of eigenvalues Communications in Analysis and Geometry Hassel, A., Melrose, R. B., Mazzeo, R. 1995
• Connected sum constructions for constant scalar curvature metrics Topological Methods in Nonlinear Analysis Mazzeo, R., Pollack, D., Uhlenbeck, K. 1995; 6 (2): 207 - 233
• Perturbing away higher dimensional singularities from area minimizing hypersurfaces Communications in Analysis and Geometry Smale, N., Mazzeo, R. 1994; 2 (2): 313 - 336
• CONFORMALLY FLAT METRICS OF CONSTANT POSITIVE SCALAR CURVATURE ON SUBDOMAINS OF THE SPHERE JOURNAL OF DIFFERENTIAL GEOMETRY Mazzeo, R., Smale, N. 1991; 34 (3): 581-621

  View details for Web of Science ID A1991GW98100001

• REMARKS ON A PAPER OF FRIEDLANDER CONCERNING INEQUALITIES BETWEEN NEUMANN AND DIRICHLET EIGENVALUES DUKE MATHEMATICAL JOURNAL Mazzeo, R. 1991; 63 (3): 41-48

  View details for Web of Science ID A1991GC60600011

• UNIQUE CONTINUATION AT INFINITY AND EMBEDDED EIGENVALUES FOR ASYMPTOTICALLY HYPERBOLIC MANIFOLDS AMERICAN JOURNAL OF MATHEMATICS Mazzeo, R. 1991; 113 (1): 25-45

  View details for Web of Science ID A1991EV94900002

• ELLIPTIC THEORY OF DIFFERENTIAL EDGE OPERATORS .1. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS Mazzeo, R. 1991; 16 (10): 1615-1664

  View details for Web of Science ID A1991GQ04100003

• REGULARITY FOR THE SINGULAR YAMABE PROBLEM INDIANA UNIVERSITY MATHEMATICS JOURNAL Mazzeo, R. 1991; 40 (4): 1277-1299

  View details for Web of Science ID A1991HB39300008

• HODGE THEORY ON HYPERBOLIC MANIFOLDS DUKE MATHEMATICAL JOURNAL Mazzeo, R., Phillips, R. S. 1990; 60 (2): 509-559

  View details for Web of Science ID A1990DB02500010

• THE ADIABATIC LIMIT, HODGE COHOMOLOGY AND LERAY SPECTRAL SEQUENCE FOR A FIBRATION JOURNAL OF DIFFERENTIAL GEOMETRY MAZZEO, R. R., MELROSE, R. B. 1990; 31 (1): 185-213

  View details for Web of Science ID A1990CK27400008

• Edge operators in geometry Mazzeo, R. 1990
• THE HODGE COHOMOLOGY OF A CONFORMALLY COMPACT METRIC JOURNAL OF DIFFERENTIAL GEOMETRY Mazzeo, R. 1988; 28 (2): 309-339

  View details for Web of Science ID A1988Q172700006

• MEROMORPHIC EXTENSION OF THE RESOLVENT ON COMPLETE SPACES WITH ASYMPTOTICALLY CONSTANT NEGATIVE CURVATURE JOURNAL OF FUNCTIONAL ANALYSIS MAZZEO, R. R., MELROSE, R. B. 1987; 75 (2): 260-310

  View details for Web of Science ID A1987K992400002

• Meromorphic extension of the resolvent for spaces with asymptotically constant negative curvature Journal of Functional Analysis Melrose, R. B., Mazzeo, R. 1987; 75: 260 - 310