| Rafe Mazzeo | |||
| Some papers
(organized by subject matter):
(more or less complete since mid-late 1990's, but gradually expanded backward) Index theory, Hodge theory, etc. "Hodge cohomology of negatively curved manifolds'', Journal of Differential Geometry 28 (1988), pp. 309-339. pdf "A signature formula for manifolds with corners of codimension 2'' (with A. Hassell and R.B. Melrose), Topology,36 No. 5 (1997), pp. 1055-1075. pdf "Dirac operators, heat kernels and microlocal analysis Part II Analytic surgery'' (with P. Piazza), Rendicondi di Matematicae delle sue applicazioni 18 (1998), pp. 221-288. pdf"$L^2$ cohomology of gravitational instantons" (with T. Hausel and E. Hunsicker). Duke Mathematical Journal 122 No. 2 (2004), pp. 485-548. pdf "Harmonic forms on manifolds with edges"
(with E. Hunsicker) International
Mathematics Research Notices 52
(2005), pp. 3229-327 pdf "The index of Dirac operators on manifolds
with fibred
boundaries (with E. Leichtnam and P. Piazza) to appear in Proceedings
of the Joint BeNeLuxFra Conference in Mathematics, Ghent, May 20-22,
2005,
Bulletin of the Belgian Mathematical Society -- Simon Stevin
pdf
Scattering theory "Unique continuation at infinity and embedded eigenvalues for asymptotically hyperbolic manifolds" American Journal of Mathematics 113 No. 1 (1991), pp. 25-45. pdf "Resolvents, Martin boundaries and Riemannian products'' (with A. Vasy). Geometric and Functional Analysis , 12 (2002), pp. 1018-1079. pdf "Analytic
continuation of the resolvent on SL(3)/SO(3)'' (with A.
Vasy). American
Journal of Mathematics 126
(2004), pp. 821-844. pdf
"Pseudodifferential analysis for the Laplacian on noncompact symmetric spaces" in Partial Differential Equations and Inverse Problems, Contemporary MathematicsVol. 362, American Mathematics Society (2004), pp. 389-301. pdf
"Gluing and moduli for noncompact geometric problems'' (with D. Pollack) in Geometric theory of singular phenomena in partial differential equations, Symposia Mathematica Vol. XXXII Cambridge Univ. Press (1998) pp. 17-51. pdf "Constant scalar curvature metrics with isolated singularities'' (with F. Pacard), Duke Mathematical Journal 99 No. 3 (1999), pp. 353-418. pdf "Refined asymptotics for constant scalar curvature metrics with isolated singularities", (with N. Korevaar, F. Pacard and R. Schoen) Inventiones Mathematicae 135 (1999), pp. 233-272. pdf "Kähler-Einstein metrics singular along a smooth divisor'', Journées Équations aux Dérivées Partielles pdf "Poincaré-Einstein metrics and the Schouten tensor'' (with F. Pacard). Pacific Journal of Mathematics 212 No. 1 (2003), pp. 169-185. pdf "Bifurcating nodoids" (with F. Pacard) in Topology and Geometry: Commemorating SISTAG, Contemporary Mathematics 314. pp. 169-186. American Mathematical Society (2002).pdf "Recent progress in the global theory of constant mean curvature surfaces" in Noncompact problems at the intersection of geometry, analysis and topology Contemporary Mathematics 350 pp. 179-199. American Mathematical Society (2004). pdf "Maskit combinations of "Poincaré-Einstein metrics" (with F. Pacard). to appear in Advances in Mathematics pdf "Foliations by constant mean curvature tubes" (with F. Pacard). Communications in Analysis and Geometry. 13 No. 4 (2005), pp. 633-670. pdf "Constant mean curvature hypersurfaces condensing along a submanifold" (with F. Mahmoudi and F. Pacard). to appear in Geometric and Functional Analysis pdf "Parabolic geometries as conformal infinities of Einstein metrics" (with O. Biquard), Preprint, April 2006 (22 pages) pdf Review of Nonlinear equations in conformal geometry by Alice Chang, Bulletin (New Series) of the American Math. Society pdf "A nonlinear Poisson transform for Einstein metrics on product spaces" (with O. Biquard) pdf "Self-similar expanding solutions for the planar network flow" (with M. Saez) pdf "Some remarks on conic degeneration and bending of Poincare-Einstein metrics" (with M. Singer) pdf "Constant curvature foliations on asymptotically hyperbolic manifolds" (with F. Pacard) pdf Mathematical relativity "Gluing and wormholes for the Einstein constraint equations'' (with J. Isenberg and D. Pollack). Communications in Mathematical Physics 231 (2002), pp. 529-568. pdf "On ``many black hole''vacuum spacetimes" (with P. Chrusciel). Classical and Quantum Gravity 20 (2003), pp. 1-26. pdf General elliptic theory |
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"Elliptic theory of differential edge operators, I" Communications in Partial Differential Equations 16 No. 10 (1991), pp. 1616 - 1664. pdf "Pseudodifferential operators on manifolds with fibred boundary''(with R.B. Melrose),Asian Journal of Mathematics 2 No. 4 (1999) pp. 833 - 866. pdf "Spectral invariants''. in The Emissary (MSRI newsletter), Fall 2002. 6 pp. pdf "Resolution blowups, spectral convergence and quasiasymptotically conic spaces" pdf Differential Geology "Constraining surface interpolations using elastic plate bending solutions with applications to geologic folding" (with O. Kaven and D. Pollard) pdf |