Papers and preprints


  • The Cauchy problem for Einstein metrics and parallel spinors [pdf] (with Bernd Ammann and Andrei Moroianu), preprint arXiv:1106.2066.
  • Chern-Simons line bundle on Teichmüller space [pdf] (with Colin Guillarmou), preprint arXiv:1102.1981, submitted.
  • Uniformization of S^2 and flat singular surfaces [pdf], preprint arXiv:1101.2355, submitted.
  • Bergman and Calderon projectors for Dirac operators [pdf] (with Colin Guillarmou and Jinsung Park), preprint arXiv:1009.3179, submitted.
  • On the singularities of the zeta and eta functions of an elliptic operator, [pdf] (with Paul Loya and Raphael Ponge), preprint arXiv:1010.4039, to appear in Int. J. Math.
  • The spectrum of k-form Schrödinger Laplacians on conformally cusp manifolds [pdf] (with Sylvain Golénia), Trans. Amer. Math. Soc. 364 (2012), 1-29.
  • Regularity of the eta function on manifolds with cusps [pdf] (with Paul Loya and Jinsung Park), Mathematische Zeitschrift 269 (2011), no. 3-4, 955-975.
  • The Dirac operator on generalized Taub-NUT spaces [pdf] (with Andrei Moroianu), Comm. Math. Phys. 305 (2011), 641-656.
  • Eta invariant and Selberg Zeta function of odd type over convex co-compact hyperbolic manifolds [pdf] (with Colin Guillarmou and Jinsung Park), Advances in Mathematics 225, no. 5 (2010), 2464-2516.
  • Quasi-fuchsian manifolds with particles [pdf] (with Jean-Marc Schlenker), J. Differential Geometry 83 (2009), 75-129.
  • Adiabatic limit of the eta invariant over cofinite quotients of PSL(2,R) [pdf] (with Paul Loya and Jinsung Park), Compositio Math. 144 (2008), 1593-1616.
  • Spectral analysis of magnetic Laplacians on conformally cusp manifolds [pdf] (with Sylvain Golénia), Ann. Henri Poincaré 9 (2008), 131-179.
  • Weyl laws on open manifolds [pdf], Math. Annalen 340 (2008), 1-21.
  • Index and homology of pseudodifferential operators on manifolds with boundary [pdf] (with Victor Nistor), Perspectives Oper. Algebras Math. Phys., Theta (2008), 123-148.
  • The Dirac spectrum on manifolds with gradient conformal vector fields [pdf] (with Andrei Moroianu), J. Funct. Analysis 253 (2007), 207-219.
  • Fibered cusp versus d-index theory [pdf], Rend. Semin. Mat. Padova 117 (2007), 193-203.
  • On the structure of quantum permutation groups [pdf] (with Teodor Banica), Proc. Amer. Math. Soc. 135 (2007), 21-29.
  • On Carvalho's K-theoretic formulation of the cobordism invariance of the index [pdf], Proc. Amer. Math. Soc. 134 (2006), 3395-3404.
  • L^2-index of the Dirac operator of generalized Euclidean Taub-NUT metrics [pdf] (with Mihai Vişinescu), J. Phys. A - Math. Gen. 39 (2006), 6575-6581.
  • On the L^p index of spin Dirac operators on conical manifolds [pdf] (with André Legrand), Studia Math. 177 (2006), 97-112.
  • Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics [pdf] (with Ion Cotăescu and Mihai Vişinescu), J. Phys. A - Math. Gen. 38 (2005), 7005-7019.
  • An index formula on manifolds with fibered cusp ends [pdf] (with Robert Lauter), J. Geom. Analysis 15 (2005), 261-283.
  • Cusp geometry and the cobordism invariance of the index [pdf], Advances Math. 194 (2005), 504-519.
  • Homology of adiabatic pseudo-differential operators [dvi], Nagoya Math. J. 175 (2004), 171-221.
  • Adiabatic limits of eta and zeta functions of elliptic operators [ps], Math. Zeitschrift 246 (2004), 441-471.
  • Heat Kernel Asymptotics for Roots of Generalized Laplacians [ps] (with Christian Bär), Int. J. Math. 14 (2003), 397-412.
  • K-Theory of suspended pseudo-differential operators [ps], K-Theory 28 (2003), 167-181.
  • Homology of pseudodifferential operators on manifolds with fibered cusps [dvi] (with Robert Lauter), Trans. Amer. Math. Soc. 355 (2003), 3009-3046.
  • Sur la limite adiabatique des fonctions eta et zeta [dvi], C. R. Acad. Sci. I-Math. 334 (2002), 131-134.
  • The index of cusp operators on manifolds with corners [dvi] (with Robert Lauter), Ann. Global Anal. Geom. 21 no. 1 (2002), 31-49.
  • Homology of pseudo-differential operators on manifolds with fibered boundaries [dvi] (with Robert Lauter), J. Reine Angew. Math. 547 (2002), 207-234.
  • Fredholm Theory for degenerate pseudodifferential operators on manifolds with fibered boundaries [dvi] (with Robert Lauter), Comm. Partial Diff. Equations 26 (2001), 233-285.
  • On the index formula of Melrose and Nistor [dvi] (with Robert Lauter), IMAR preprint 3/2000.
  • Thesis [ ps] and my former PhD advisor Richard B. Melrose. 
    •  modificat ultima dată: 9 decembrie 2011
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