![Andras Vasy](https://profiles.stanford.edu/proxy/api/cap/profiles/55428/resources/profilephoto/350x350.1620328666252.jpg)
Academic Appointments
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Professor, Mathematics
Administrative Appointments
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Professor, Department of Mathematics, Stanford University (2008 - Present)
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Associate Professor, Department of Mathematics, Stanford University (2005 - 2008)
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Visiting Associate Professor, Department of Mathematics, Northwestern University (2004 - 2005)
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Associate Professor, Department of Mathematics, Massachusetts Institute of Technology (2003 - 2006)
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Enseignant invité, Département de Mathématiques, Université de Nantes (2002 - 2002)
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Local organizer, Programme in Scattering Theory, Erwin Schrödinger Institute, Vienna, Austria (2001 - 2001)
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Assistant Professor, Department of Mathematics, Massachusetts Institute of Technology (1999 - 2003)
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Morrey Assistant Professor, Department of Mathematics, University of California, Berkeley (1997 - 2000)
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Teaching Assistant, Department of Mathematics, Massachusetts Institute of Technology (1993 - 1996)
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Alfred P. Sloan Research Fellowship, Alfred P. Sloan Foundation (2002 - 2004)
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Alfred P. Sloan Doctoral Dissertation Fellowship, Alfred P. Sloan Foundation (1996 - 1997)
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Clay Research Fellowship, Clay Mathematics Institute (2004 - 2006)
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Chambers Fellowship, Stanford University (2008 - 2009)
Honors & Awards
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Elected as a member, American Academy of Art and Sciences (2019)
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Simons Fellowship, Simons Foundation (2017-2018)
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Bocher Prize, American Mathematical Society (2017)
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Invited speaker for the Partial Differential Equations section, International Congress of Mathematicians, Seoul (2014)
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Clay Research Fellowship, Clay Mathematics Institute (2004-2006)
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Alfred P. Sloan Research Fellowship, Alfred P. Sloan Foundation (2002-2004)
Boards, Advisory Committees, Professional Organizations
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Director of Graduate Studies, Stanford University, Department of Mathematics (2007 - 2010)
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Co-organizer, Programme on the ‘Modern Theory of Wave Equations’, Erwin Schrödinger Institute, Vienna, Austria
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Co-organizer, ‘A conference on Inverse Problems in honor of Gunther Uhlmann’, University of California, Irvine (2012 - 2012)
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Co-organizer, conference ‘Microlocal methods in spectral and scattering theory’, Northwestern University (2011 - 2011)
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Co-organizer, conference ‘Microlocal methods in mathematical physics and global analysis’, Tübingen, Germany (2011 - 2011)
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Co-organizer, conference ‘From wave propagation to K-theory’, Stanford University (2008 - 2008)
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Co-organizer, semester-long Program on Analysis of Singular Spaces, Mathematical Sciences Research Institute, Berkeley, CA (2008 - 2008)
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Co-organizer, conference on Spectral Theory and Global Analysis, University of Oldenburg, Germany (2006 - 2006)
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Co-organizer, Scattering Theory and Singular Spaces, Northwestern University (2005 - 2005)
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Co-organizer, conference on Scattering Theory and Singular Spaces, Northwestern University (2005 - 2005)
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Co-organizer, Geometric Analysis: a conference in Honor of Richard Melrose, Massachusetts Insitute of Technology (2002 - 2002)
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Local organizer, semester-long Programme in Scattering Theory, Erwin Schrödinger Institute, Vienna, Austria (2001 - 2001)
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Member, Natural Sciences Curriculum Review Committee, Stanford University, School of Humanities and Sciences (2012 - 2013)
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Editor, Analysis & PDE (journal) (2007 - Present)
Professional Education
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Ph.D., Massachusetts Institute of Technology, Mathematics (1997)
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M.S., Stanford University, Mathematics (1993)
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B.S., Stanford University, Physics (1993)
Current Research and Scholarly Interests
My research concentrates on topics in two broad areas of applications of microlocal analysis in which, partly with collaborators, I introduced new ideas in recent years: non-elliptic linear and non-linear partial differential equations (PDE), typically concerning wave propagation or other related phenomena, and inverse problems for X-ray type transforms along geodesics and related problems for determining the metric tensor from boundary measurements.
Some of my work describes the long-time or far field behavior, including existence, of waves on curved space-times. Physically these arise in general relativity, including electromagnetic waves on a curved background. The microlocal approach to analysis on these spaces has made breakthroughs possible on linear and non-linear problems on asymptotically hyperbolic (AH) spaces as well as Kerr-de Sitter (KdS) space (rotating black holes in a cosmological spacetime), culminating in the proof of the stability of slowly rotating KdS spaces with Peter Hintz. More recently, with Dietrich Hafner and Peter Hintz, I extended some of these tools to the vanishing cosmological constant case (Minkowski, Kerr). Ongoing work aims to extend these tools to further spaces, such as perturbations of Kerr spacetimes, and also to study other equations on cosmological spacetimes. Other projects study basic objects in quantum field theory, in particular the Feynman propagator.
Another main area of my interest is inverse problems, where, together with Gunther Uhlmann, I introduced new tools for the spatially localized inversion of the geodesic X-ray transform, and with Plamen Stefanov and Gunther Uhlmann we extended this to the boundary rigidity problem, namely determining a Riemannian metric on a manifold with boundary from the length of geodesic segments connecting boundary points. Ongoing work involves extensions of this to anisotropic elasticity which plays an important role in the interior of the Earth. Another project with Yiran Wang studies the light ray transform with potential applications to imaging by the cosmic background radiation.
2024-25 Courses
- Topics in Partial Differential Equations
MATH 272 (Aut) -
Independent Studies (3)
- Advanced Reading and Research
MATH 360 (Aut, Win, Spr) - Independent Research and Study
PHYSICS 190 (Aut, Win, Spr) - Research
PHYSICS 490 (Aut, Win, Spr)
- Advanced Reading and Research
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Prior Year Courses
2023-24 Courses
- Proofs and Modern Mathematics
MATH 56 (Aut)
2021-22 Courses
- Elementary Functional Analysis
MATH 175 (Win) - Partial Differential Equations of Applied Mathematics
CME 303, MATH 220 (Aut) - Proofs and Modern Mathematics
MATH 56 (Aut)
- Proofs and Modern Mathematics
Stanford Advisees
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Doctoral Dissertation Advisor (AC)
Mikhail Molodyk -
Doctoral Dissertation Co-Advisor (AC)
Rahul Sarkar
All Publications
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Local and global boundary rigidity and the geodesic X-ray transform in the norma gauge
ANNALS OF MATHEMATICS
2021; 194 (1): 1-95
View details for DOI 10.4007/annals.2021.194.1.1
View details for Web of Science ID 000664788100001
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Linear stability of slowly rotating Kerr black holes
INVENTIONES MATHEMATICAE
2020
View details for DOI 10.1007/s00222-020-01002-4
View details for Web of Science ID 000574719100001
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The global non-linear stability of the Kerr-de Sitter family of black holes
ACTA MATHEMATICA
2018; 220 (1): 1–206
View details for DOI 10.4310/ACTA.2018.v220.n1.a1
View details for Web of Science ID 000434454200001
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The inverse problem for the local geodesic ray transform
INVENTIONES MATHEMATICAE
2016; 205 (1): 83-120
View details for DOI 10.1007/s00222-015-0631-7
View details for Web of Science ID 000378934800003
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BOUNDARY RIGIDITY WITH PARTIAL DATA
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
2016; 29 (2): 299-332
View details for DOI 10.1090/jams/846
View details for Web of Science ID 000373994700001
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Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
INVENTIONES MATHEMATICAE
2013; 194 (2): 381-513
View details for DOI 10.1007/s00222-012-0446-8
View details for Web of Science ID 000325819500003
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Linear stability of slowly rotating Kerr black holes (vol 223, pg 1227, 2021)
INVENTIONES MATHEMATICAE
2024
View details for DOI 10.1007/s00222-024-01240-w
View details for Web of Science ID 001160671300001
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THE TENSORIAL X-RAY TRANSFORM ON ASYMPTOTICALLY CONIC SPACES
INVERSE PROBLEMS AND IMAGING
2024
View details for DOI 10.3934/ipi.2024001
View details for Web of Science ID 001165986600001
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A de Sitter no-hair theorem for 3+1d cosmologies with isometry group forming 2-dimensional orbits
ADVANCES IN MATHEMATICS
2023; 434
View details for DOI 10.1016/j.aim.2023.109296
View details for Web of Science ID 001097711200001
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Analyticity of Quasinormal Modes in the Kerr and Kerr-de Sitter Spacetimes
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2023
View details for DOI 10.1007/s00220-023-04776-9
View details for Web of Science ID 001024242500001
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On the Light Ray Transform of Wave Equation Solutions
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2021
View details for DOI 10.1007/s00220-021-04045-7
View details for Web of Science ID 000638059100002
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Asymptotically flat Einstein-Maxwell fields are inheriting
COMMUNICATIONS IN ANALYSIS AND GEOMETRY
2021; 29 (3): 579-627
View details for Web of Science ID 000648765300002
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Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
2020
View details for DOI 10.1080/03605302.2020.1857401
View details for Web of Science ID 000598222400001
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Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
2020
View details for DOI 10.1080/03605302.2020.1857400
View details for Web of Science ID 000598206100001
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Asymptotic Behavior of Cosmologies with Lambda > 0 in 2+1 Dimensions
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2020; 376 (2): 1155–70
View details for DOI 10.1007/s00220-020-03706-3
View details for Web of Science ID 000536053300008
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Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces
JOURNAL OF SPECTRAL THEORY
2020; 10 (2): 439–61
View details for DOI 10.4171/JST/301
View details for Web of Science ID 000548172600004
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Recovery of Material Parameters in Transversely Isotropic Media
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
2020; 235 (1): 141–65
View details for DOI 10.1007/s00205-019-01421-5
View details for Web of Science ID 000522430900005
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Travel Time Tomography
ACTA MATHEMATICA SINICA-ENGLISH SERIES
2019; 35 (6): 1085–1114
View details for DOI 10.1007/s10114-019-8338-0
View details for Web of Science ID 000468385200018
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Inverting the local geodesic X-ray transform on tensors
JOURNAL D ANALYSE MATHEMATIQUE
2018; 136 (1): 151–208
View details for DOI 10.1007/s11854-018-0058-3
View details for Web of Science ID 000454298300006
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ASYMPTOTICS FOR THE WAVE EQUATION ON DIFFERENTIAL FORMS ON KERR-DE SITTER SPACE
JOURNAL OF DIFFERENTIAL GEOMETRY
2018; 110 (2): 221–79
View details for DOI 10.4310/jdg/1538791244
View details for Web of Science ID 000446451600002
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Quantum Fields from Global Propagators on Asymptotically Minkowski and Extended de Sitter Spacetimes
ANNALES HENRI POINCARE
2018; 19 (5): 1529–86
View details for DOI 10.1007/s00023-018-0650-1
View details for Web of Science ID 000429799900009
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Asymptotics of scalar waves on long-range asymptotically Minkowski spaces
ADVANCES IN MATHEMATICS
2018; 328: 160–216
View details for DOI 10.1016/j.aim.2018.01.012
View details for Web of Science ID 000432905300006
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Local recovery of the compressional and shear speeds from the hyperbolic DN map
INVERSE PROBLEMS
2018; 34 (1)
View details for DOI 10.1088/1361-6420/aa9833
View details for Web of Science ID 000417912200002
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On the Positivity of Propagator Differences
ANNALES HENRI POINCARE
2017; 18 (3): 983-1007
View details for DOI 10.1007/s00023-016-0527-0
View details for Web of Science ID 000394994000006
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ON THE STABLE RECOVERY OF A METRIC FROM THE HYPERBOLIC DN MAP WITH INCOMPLETE DATA
INVERSE PROBLEMS AND IMAGING
2016; 10 (4): 1141-1147
View details for DOI 10.3934/ipi.2016035
View details for Web of Science ID 000390101300011
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The Feynman Propagator on Perturbations of Minkowski Space
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2016; 342 (1): 333-384
View details for DOI 10.1007/s00220-015-2520-8
View details for Web of Science ID 000369965600010
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Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
2016: 5355-5426
View details for DOI 10.1093/imrn/rnv311
View details for Web of Science ID 000383778500006
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ASYMPTOTICS OF RADIATION FIELDS IN ASYMPTOTICALLY MINKOWSKI SPACE
AMERICAN JOURNAL OF MATHEMATICS
2015; 137 (5): 1293-1364
View details for Web of Science ID 000361163400004
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DIFFRACTION FROM CONORMAL SINGULARITIES
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
2015; 48 (2): 351-408
View details for Web of Science ID 000355890300004
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PROPAGATION OF SINGULARITIES AROUND A LAGRANGIAN SUBMANIFOLD OF RADIAL POINTS
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE
2015; 143 (4): 679-726
View details for Web of Science ID 000371649000003
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SEMILINEAR WAVE EQUATIONS ON ASYMPTOTICALLY DE SITTER, KERR-DE SITTER AND MINKOWSKI SPACETIMES
ANALYSIS & PDE
2015; 8 (8): 1807-1890
View details for DOI 10.2140/apde.2015.8.1807
View details for Web of Science ID 000377684000001
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From resolvent estimates to damped waves
JOURNAL D ANALYSE MATHEMATIQUE
2014; 122: 143-162
View details for DOI 10.1007/s11854-014-0006-9
View details for Web of Science ID 000334068900006
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Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
2014; 39 (3): 452-511
View details for DOI 10.1080/03605302.2013.866957
View details for Web of Science ID 000330937000003
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Asymptotics of Solutions of the Wave Equation on de Sitter-Schwarzschild Space
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
2014; 39 (3): 512-529
View details for DOI 10.1080/03605302.2013.866958
View details for Web of Science ID 000330937000004
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Non-trapping estimates near normally hyperbolic trapping
MATHEMATICAL RESEARCH LETTERS
2014; 21 (6): 1277-1304
View details for Web of Science ID 000353048100005
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Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space
COMMENTARII MATHEMATICI HELVETICI
2014; 89 (4): 867-894
View details for DOI 10.4171/CMH/336
View details for Web of Science ID 000345957900003
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Resolvents, Poisson operators and scattering matrices on asymptotically hyperbolic and de Sitter spaces
JOURNAL OF SPECTRAL THEORY
2014; 4 (4): 643-673
View details for DOI 10.4171/JST/82
View details for Web of Science ID 000348502700001
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Morawetz estimates for the wave equation at low frequency
MATHEMATISCHE ANNALEN
2013; 355 (4): 1221-1254
View details for DOI 10.1007/s00208-012-0817-x
View details for Web of Science ID 000316870300002
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A correction to "Propagation of singularities for the wave equation on manifolds with corners"
ANNALS OF MATHEMATICS
2013; 177 (2): 783-785
View details for DOI 10.4007/annals.2013.177.2.11
View details for Web of Science ID 000314351100011
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MULTISCALE DISCRETE APPROXIMATIONS OF FOURIER INTEGRAL OPERATORS ASSOCIATED WITH CANONICAL TRANSFORMATIONS AND CAUSTICS
MULTISCALE MODELING & SIMULATION
2013; 11 (2): 566-585
View details for DOI 10.1137/120889642
View details for Web of Science ID 000321038600007
- Diffraction of singularities for the wave equation on manifolds with corners Astérisque 2013; 351: 136
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DIFFRACTION OF SINGULARITIES FOR THE WAVE EQUATION ON MANIFOLDS WITH CORNERS
ASTERISQUE
2013: 1-?
View details for Web of Science ID 000326612800001
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SEMICLASSICAL RESOLVENT ESTIMATES AT TRAPPED SETS
ANNALES DE L INSTITUT FOURIER
2012; 62 (6): 2379-2384
View details for Web of Science ID 000316032000012
- Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space To appear in Commentarii Mathematici Helvetici 2012: 26
- Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates In Inverse problems and applications edited by Uhlmann, G. Cambridge University Press, MSRI Publications. 2012: 31
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PROPAGATION THROUGH TRAPPED SETS AND SEMICLASSICAL RESOLVENT ESTIMATES
ANNALES DE L INSTITUT FOURIER
2012; 62 (6): 2347-2377
View details for Web of Science ID 000316032000011
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Gluing Semiclassical Resolvent Estimates via Propagation of Singularities
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
2012: 5409-5443
View details for DOI 10.1093/imrn/rnr255
View details for Web of Science ID 000311666800004
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THE WAVE EQUATION ON ASYMPTOTICALLY ANTI DE SITTER SPACES
ANALYSIS & PDE
2012; 5 (1): 81-144
View details for DOI 10.2140/apde.2012.5.81
View details for Web of Science ID 000306905600003
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Positive commutators at the bottom of the spectrum
JOURNAL OF FUNCTIONAL ANALYSIS
2010; 259 (2): 503-523
View details for DOI 10.1016/j.jfa.2010.04.012
View details for Web of Science ID 000277528000008
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The wave equation on asymptotically de Sitter-like spaces
ADVANCES IN MATHEMATICS
2010; 223 (1): 49-97
View details for DOI 10.1016/j.aim.2009.07.005
View details for Web of Science ID 000271699900003
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Diffraction at Corners for the Wave Equation on Differential Forms
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
2010; 35 (7): 1236-1275
View details for DOI 10.1080/03605300903419791
View details for Web of Science ID 000278680000003
- Gluing semiclassical resolvent estimates, or the importance of being microlocal Oberwolfach Reports 2010; 7 (2): 1648-1651
- Diffraction at corners for the wave equation on differential forms Comm. in PDEs 2010; 35: 1236-1275
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SEMICLASSICAL SECOND MICROLOCAL PROPAGATION OF REGULARITY AND INTEGRABLE SYSTEMS
JOURNAL D ANALYSE MATHEMATIQUE
2009; 108: 119-157
View details for Web of Science ID 000283485800005
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Propagation of singularities for the wave equation on manifolds with corners
ANNALS OF MATHEMATICS
2008; 168 (3): 749-812
View details for Web of Science ID 000263764100002
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DIFFRACTION BY EDGES
International Conference on Inversese Quantum Scattering Theory
WORLD SCIENTIFIC PUBL CO PTE LTD. 2008: 2287–2328
View details for Web of Science ID 000259926500014
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Propagation of singularities for the wave equation on edge manifolds
DUKE MATHEMATICAL JOURNAL
2008; 144 (1): 109-193
View details for DOI 10.1215/00127094-2008-033
View details for Web of Science ID 000257603700004
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MICROLOCAL PROPAGATION NEAR RADIAL POINTS AND SCATTERING FOR SYMBOLIC POTENTIALS OF ORDER ZERO
ANALYSIS & PDE
2008; 1 (2): 127-196
View details for Web of Science ID 000207656100001
- Scattering for symbolic potentials of order zero and microlocal propagation near radial points Analysis & PDE 2008; 1: 127-196
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Scattering theory on SL(3)/SO(3): Connections with quantum 3-body scattering
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
2007; 94: 545-593
View details for DOI 10.1112/plms/pdl004
View details for Web of Science ID 000247283100001
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Geometric optics and the wave equation on manifolds with corners
10th International Conference on Differential Equations and Mathematical Physics
AMER MATHEMATICAL SOC. 2006: 315–333
View details for Web of Science ID 000240306900022
- Geometric optics and the wave equation on manifolds with corners Contemp. Math. 2006; 412: 315-333
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Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type
JOURNAL OF FUNCTIONAL ANALYSIS
2005; 228 (2): 311-368
View details for DOI 10.1016/j.jfa.2004.10.003
View details for Web of Science ID 000233141400003
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Absence of super-exponentially decaying eigenfunctions on Riemannian manifolds with pinched negative curvature
MATHEMATICAL RESEARCH LETTERS
2005; 12 (5-6): 673-684
View details for Web of Science ID 000234367800005
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Lipschitz domains, domains with corners, and the Hodge Laplacian
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
2005; 30 (10): 1445-1462
View details for DOI 10.1080/03605300500299547
View details for Web of Science ID 000233089500002
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Inverse scattering with fixed energy for dilation-analytic potentials
INVERSE PROBLEMS
2004; 20 (4): 1349-1354
View details for DOI 10.1088/0266-5611/20/4/020
View details for Web of Science ID 000223542200020
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Analytic continuation of the resolvent of the Laplacian on SL(3)/SO(3)
AMERICAN JOURNAL OF MATHEMATICS
2004; 126 (4): 821-844
View details for Web of Science ID 000223184500005
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Complex powers and non-compact manifolds
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
2004; 29 (5-6): 671-705
View details for DOI 10.1081/PDE-120037329
View details for Web of Science ID 000221659800003
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Exponential decay of eigenfunctions in many-body type scattering with second-order perturbations
JOURNAL OF FUNCTIONAL ANALYSIS
2004; 209 (2): 468-492
View details for DOI 10.1016/S0022-1236(03)00106-X
View details for Web of Science ID 000220525300009
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Spectral and scattering theory for symbolic potentials of order zero
ADVANCES IN MATHEMATICS
2004; 181 (1): 1-87
View details for DOI 10.1016/S0001-8708(03)00020-3
View details for Web of Science ID 000187564300001
- Inverse problems in N-body scattering Inverse Problems and Spectral Theory edited by Isozaki, H. 2004
- Geometry and analysis in many-body scattering. Inside-out: Inverse problems Math. Sci. Res. Inst. Publ 2003; 47: 333-379
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Low-energy inverse problems in three-body scattering
INVERSE PROBLEMS
2002; 18 (3): 719-736
View details for Web of Science ID 000176750400014
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Resolvents and Martin boundaries of product spaces
GEOMETRIC AND FUNCTIONAL ANALYSIS
2002; 12 (5): 1018-1079
View details for Web of Science ID 000179562000005
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Smoothness and high energy asymptotics of the spectral shift function in many-body scattering
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
2002; 27 (11-12): 2139-2186
View details for DOI 10.1081/PDE-120016156
View details for Web of Science ID 000179929300002
- Fixed energy inverse problem for exponentially decaying potentials Methods Appl. Anal 2002; 9: 239-248
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Propagation of singularities in many-body scattering in the presence of bound states
JOURNAL OF FUNCTIONAL ANALYSIS
2001; 184 (1): 177-272
View details for Web of Science ID 000170498600005
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Intersecting Legendrians and blow-ups
MATHEMATICAL RESEARCH LETTERS
2001; 8 (4): 413-428
View details for Web of Science ID 000171111000002
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Propagation of singularities in many-body scattering
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
2001; 34 (3): 313-402
View details for Web of Science ID 000169964700001
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The resolvent for Laplace-type operators on asymptotically conic spaces
ANNALES DE L INSTITUT FOURIER
2001; 51 (5): 1299-?
View details for Web of Science ID 000174292900007
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Symbolic functional calculus and N-body resolvent estimates
JOURNAL OF FUNCTIONAL ANALYSIS
2000; 173 (2): 257-283
View details for Web of Science ID 000087445300001
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Semiclassical estimates in asymptotically Euclidean scattering
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2000; 212 (1): 205-217
View details for Web of Science ID 000087859100008
- Propagation of singularities in three-body scattering Asterisque 2000; 262
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Propagation of singularities in three-body scattering
ASTERISQUE
2000: III-?
View details for Web of Science ID 000086395100001
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The spectral projections and the resolvent for scattering metrics
JOURNAL D ANALYSE MATHEMATIQUE
1999; 79: 241-298
View details for Web of Science ID 000086439100009
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Scattering matrices in many-body scattering
COMMUNICATIONS IN MATHEMATICAL PHYSICS
1999; 200 (1): 105-124
View details for Web of Science ID 000078638100006
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Geometric scattering theory for long-range potentials and metrics
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
1998: 285-315
View details for Web of Science ID 000073347900001
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Structure of the resolvent for three-body potentials
DUKE MATHEMATICAL JOURNAL
1997; 90 (2): 379-434
View details for Web of Science ID A1997YG81000003
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Asymptotic behavior of generalized eigenfunctions in N-body scattering
JOURNAL OF FUNCTIONAL ANALYSIS
1997; 148 (1): 170-184
View details for Web of Science ID A1997XP74400007
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Scattering poles for negative potentials
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
1997; 22 (1-2): 185-194
View details for Web of Science ID A1997WL70400009