Academic Appointments


  • Professor, Mathematics

Administrative Appointments


  • Instructor, Stanford University (1986 - 1988)
  • Assistant Professor, Stanford University (1988 - 1992)
  • Assistant Professor, University of Washington (1991 - 1993)
  • Associate Professor, Stanford University (1992 - 1997)
  • Professor, Stanford University (1997 - Present)
  • Department Chair, Stanford University (2007 - 2010)
  • Norman Levinson Fellow, MIT (1982 - 1983)
  • Postdoctoral Fellow, National Science Foundation (1987 - 1990)
  • Research Fellow, Alfred P. Sloan Foundation (1991 - 1995)
  • Young Investigator, National Science Foundation (1992 - 1997)
  • University Fellow in Undergraduate Education, Louis and Claude Rosenberg Jr. Family Foundation (2013 - 2018)

Boards, Advisory Committees, Professional Organizations


  • Member, Editorial Board, AMS series Graduate Studies in Mathematics (2010 - 2016)
  • Member, Scientific Advisory Board, American Institute of Mathematics (2010 - Present)
  • Managing Editor, Communications in Partial Differential Equations (1996 - Present)
  • Faculty Director, Stanford Pre-Collegiate Studies (2010 - Present)
  • Member, Editorial Board, Annales de l’IHP (2010 - 2018)
  • Director, IAS/Park City Mathematics Institute (2015 - Present)
  • Member, Editorial Board, Notices of the American Mathematical Society (2010 - 2013)
  • Member, Scientific Advisory Board, Banff International Research Station (2008 - 2010)
  • Member, Organizing Committee, MSRI Semester Spectral Invariants (2001 - 2001)
  • Nachdiplom Lectures, ETH Zurich (2004 - 2004)
  • Director, Stanford University Math Camp (1995 - 2010)

Professional Education


  • Ph.D., Massachusetts Institute of Technology (1986)
  • B.S., Massachusetts Institute of Technology (1982)

2019-20 Courses


Stanford Advisees


  • Doctoral Dissertation Reader (AC)
    Evangelie Zachos, Beite Zhu
  • Postdoctoral Faculty Sponsor
    Sherry Gong
  • Doctoral Dissertation Advisor (AC)
    Nikolas Kuhn

All Publications


  • Properly embedded minimal annuli in H(2)xR MATHEMATISCHE ANNALEN Ferrer, L., Martin, F., Mazzeo, R., Rodriguez, M. 2019; 375 (1-2): 541–94
  • Asymptotic Geometry of the Hitchin Metric COMMUNICATIONS IN MATHEMATICAL PHYSICS Mazzeo, R., Swoboda, J., Weiss, H., Witt, F. 2019; 367 (1): 151–91
  • Ricci Flow and Volume Renormalizability SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS Bahuaud, E., Mazzeo, R., Woolgar, E. 2019; 15
  • The extended Bogomolny equations and generalized Nahm pole boundary condition GEOMETRY & TOPOLOGY He, S., Mazzeo, R. 2019; 23 (5): 2475–2517
  • Hodge theory on Cheeger spaces JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK Albin, P., Leichtnam, E., Mazzeo, R., Piazza, P. 2018; 744: 29–102
  • 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
  • ENDS OF THE MODULI SPACE OF HIGGS BUNDLES DUKE MATHEMATICAL JOURNAL Mazzeo, R., Swoboda, J., Weiss, H., Witt, F. 2016; 165 (12): 2227-2271
  • Kahler-Einstein metrics with edge singularities ANNALS OF MATHEMATICS Jeffres, T., Mazzeo, R., Rubinstein, Y. A. 2016; 183 (1): 95-176
  • 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
  • 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
  • A heat trace anomaly on polygons MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY Mazzeo, R., Rowlett, J. 2015; 159 (2): 303-319
  • 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
  • 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
  • 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
  • L-2-cohomology and complete Hamiltonian manifolds JOURNAL OF GEOMETRY AND PHYSICS Mazzeo, R., Pelayo, A., Ratiu, T. S. 2015; 87: 305-313
  • RICCI FLOW ON SURFACES WITH CONIC SINGULARITIES ANALYSIS & PDE Mazzeo, R., Rubinstein, Y. A., Sesum, N. 2015; 8 (4): 839-882
  • 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
  • The Yamabe problem on stratified spaces GEOMETRIC AND FUNCTIONAL ANALYSIS Akutagawa, K., Carron, G., Mazzeo, R. 2014; 24 (4): 1039-1079
  • 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)
  • 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
  • Elliptic Theory of Differential Edge Operators, II: Boundary Value Problems INDIANA UNIVERSITY MATHEMATICS JOURNAL Mazzeo, R., Vertman, B. 2014; 63 (6): 1911-1955
  • 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
  • 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
  • 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
  • Analytic torsion on manifolds with edges ADVANCES IN MATHEMATICS Mazzeo, R., Vertman, B. 2012; 231 (2): 1000-1040
  • Singular Solutions of Fractional Order Conformal Laplacians JOURNAL OF GEOMETRIC ANALYSIS del Mar Gonzalez, M., Mazzeo, R., Sire, Y. 2012; 22 (3): 845-863
  • 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
  • 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
  • Resolvent of the Laplacian on geometrically finite hyperbolic manifolds INVENTIONES MATHEMATICAE Guillarmou, C., Mazzeo, R. 2012; 187 (1): 99-144
  • 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
  • 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
  • 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
  • Renormalized Area and Properly Embedded Minimal Surfaces in Hyperbolic 3-Manifolds COMMUNICATIONS IN MATHEMATICAL PHYSICS Alexakis, S., Mazzeo, R. 2010; 297 (3): 621-651
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Constant mean curvature hypersurfaces condensing on a submanifold GEOMETRIC AND FUNCTIONAL ANALYSIS Mahmoudi, F., Mazzeo, R., 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
  • Constant mean curvature hypersurfaces condensing along a submanifold Geometric and Functional Analysis Mazzeo, R., Mahmoudi, F., Pacard, F. 2006; 16 (4): 924 - 958
  • Resolution blowups, spectral convergence and quasi-asymptotically conical spaces Journees Equations aux Derivees Partielles Mazzeo, R. 2006; VIII: 16
  • 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
  • Harmonic forms on manifolds with edges INTERNATIONAL MATHEMATICS RESEARCH NOTICES Hunsicker, E., Mazzeo, R. 2005: 3229-3272
  • 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
  • Foliations by constant mean curvature tubes COMMUNICATIONS IN ANALYSIS AND GEOMETRY Mazzeo, R., Pacard, F. 2005; 13 (4): 633-670
  • 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
  • Hodge cohomology of gravitational instantons DUKE MATHEMATICAL JOURNAL Hausel, T., Hunsicker, E., Mazzeo, R. 2004; 122 (3): 485-548
  • 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
  • On 'many-black-hole' vacuum spacetimes CLASSICAL AND QUANTUM GRAVITY Chrusciel, P. T., Mazzeo, R. 2003; 20 (4): 729-754
  • On the topology of vacuum spacetimes ANNALES HENRI POINCARE Isenberg, J., Mazzeo, R., Pollack, D. 2003; 4 (2): 369-383
  • Gluing and wormholes for the Einstein constraint equations COMMUNICATIONS IN MATHEMATICAL PHYSICS Isenberg, J., Mazzeo, R., Pollack, D. 2002; 231 (3): 529-568
  • Resolvents and Martin boundaries of product spaces GEOMETRIC AND FUNCTIONAL ANALYSIS Mazzeo, R., Vasy, A. 2002; 12 (5): 1018-1079
  • 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
  • Singular Sturm-Liouville theory on manifolds JOURNAL OF DIFFERENTIAL EQUATIONS Mazzeo, R., McOwen, R. 2001; 176 (2): 387-444
  • 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
  • Constant mean curvature surfaces with Delaunay ends COMMUNICATIONS IN ANALYSIS AND GEOMETRY Mazzeo, R., Pacard, F. 2001; 9 (1): 169-237
  • 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
  • Spectral invariants The Emissary Mazzeo, R. 2001
  • Constant scalar curvature metrics with isolated singularities DUKE MATHEMATICAL JOURNAL Mazzeo, R., Pacard, F. 1999; 99 (3): 353-418
  • 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
  • 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
  • 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
  • Moduli spaces of singular Yamabe metrics JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Mazzeo, R., Pollack, D., Uhlenbeck, K. 1996; 9 (2): 303-344
  • 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
  • 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
  • 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
  • REMARKS ON A PAPER OF FRIEDLANDER CONCERNING INEQUALITIES BETWEEN NEUMANN AND DIRICHLET EIGENVALUES DUKE MATHEMATICAL JOURNAL Mazzeo, R. 1991; 63 (3): 41-48
  • UNIQUE CONTINUATION AT INFINITY AND EMBEDDED EIGENVALUES FOR ASYMPTOTICALLY HYPERBOLIC MANIFOLDS AMERICAN JOURNAL OF MATHEMATICS Mazzeo, R. 1991; 113 (1): 25-45
  • ELLIPTIC THEORY OF DIFFERENTIAL EDGE OPERATORS .1. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS Mazzeo, R. 1991; 16 (10): 1615-1664
  • REGULARITY FOR THE SINGULAR YAMABE PROBLEM INDIANA UNIVERSITY MATHEMATICS JOURNAL Mazzeo, R. 1991; 40 (4): 1277-1299
  • HODGE THEORY ON HYPERBOLIC MANIFOLDS DUKE MATHEMATICAL JOURNAL Mazzeo, R., Phillips, R. S. 1990; 60 (2): 509-559
  • 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
  • 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
  • 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
  • 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