A COMPLETE LIST OF PREPRINTS AND PUBLICATIONS

Please let me know if you want reprints of some of the papers not available on my HomePage.

Some of the papers advertised as "recent preprints" at Preprints and Publications may not listed here yet.

  1. High order Galerkin approximations for parametric second order elliptic partial differential equations , joint work with C. Schwab (08/14/12).

  2. Anisotropic graded meshes and quasi-optimal rates of convergence for the FEM on polyhedral domains in 3D, joint work with C. Bacuta and Hengguang Li. (06/01/12)

  3. Anisotropic regularity and optimal rates of convergence for the Finite Element Method on three dimensional polyhedral domains, joint work with C. Bacuta and A. Mazzucato (06/01/12)

  4. Analysis of Schodinger operators with inverse square potentials II: FEM and approximation of eigenfunctions in the periodic case, joint work with E. Hunsicker, Hengguang Li, and V. Uski (06/01/12)

  5. Analysis of Schodinger operators with inverse square potentials I: regularity results in 3D, joint work with E. Hunsicker, Hengguang Li, and V. Uski(12/27/11, 06/01/12), Bull Rom Math Soc,

  6. An index formula for perturbed Dirac operators on Lie manifolds, joint work with C. Carvalho (12/27/11).

  7. Approximate solutions to second order parabolic equations II: time-dependent coefficients, joint work with W. Cheng and A. Mazzucato. (06/10/11), IMA Preprint.

  8. Single and Double Layer Potentials on domains with conical points I: Straight Cones , joint work with Yu Qiao (12/31/10), Integral Equations and Operator Theory 72, 419-448 (2012).

  9. A non-conforming Generalized Finite Element Method for transmission problems, joint work with A. Mazzucato and Qingqin Qu. (11/18/10)

  10. Regulariy for eigenfunctions of Schrodinger operators, joint work with B. Ammann, C. Carvalho (10/19/10), Letters Math. Phys 101, 49-98 (2012).

  11. Closed-form asymptotics for local volatility models, joint work with W. Cheng, N. Costanzino, J. Liechty, and A. Mazzucato (10/27/09), SIAM J. Fin. Math. 2, 901-934 (2011).

  12. The K-Groups and the Index Theory of certain comparison C^*-algebras, joint work with B. Monthubert. (04/22/10)

  13. Approximate Solutions to Second Order Parabolic Equations I: analytic estimates, joint work with R. Constantinescu, N. Costanzino, A. Mazzucato, J. Math. Physics 2010 (10/09/09).

  14. "Interface and mixed boundary value problems on n-dimensional polyhedral domains," joint work with C. Bacuta, A. Mazzucato, and L. Zikatanov Documenta Mathematica 15 (2010), 687--745 (10/01/08).

  15. "Analysis of the Finite Element Method for transmission/mixed boundary value problems on general polygonal domains," joint work with Hengguang Li and A. Mazzucato (09/14/07).

  16. "Analysis of periodic Schrödinger operators: regularity and approximation of eigenvalues," joint work with J. Sofo and Eugenie Hunsicker, J. Math. Phys. 49, 083501 (2008). (A slightly older version. 01/30/08, with more complete bibliographical information.)

  17. "Analysis of a modified Schrödinger operator in 2D: regularity, index, and FEM," joint work with Hengguang Li, Journal Computational and Applied Mathematics 224, 320--338 (2009). (A slightly "older version.")

  18. "Well posedness and regularity for the Elasticity equation with mixed boundary conditions on polyhedral domains and domains with cracks," joint work with A. Mazzucato Archive of Rational Mechanics and Analysis (published on line Oct '08). A slightly older version.

  19. "Approximate and low regularity Dirichlet boundary conditions in the Generalized Finite Element Method," joint work with I. Babuska and N. Tarfulea, Math. Mod. Meth. Appl. Sci. 17 (2007), no. 12, 2115--2142. This is an expanded version of:

  20. " Approximate Dirichlet boundary conditions in the Generalized Finite Element Method," in J. Comput. Appl. Math. 218 (2008), no. 1, 175--183.

  21. " Groupoids and an index theorem for conical pseudo-manifolds," joint work with Claire Debord and Jean-Marie Lescure, Crelle Math. J..

  22. " Improving the rate of convergence of 'high order finite elements' on polyhedra II: interpolation and mesh refinement," joint work with C. Bacuta and L. Zikatanov, Numerical Functional Analysis and Opt., Vol. 28, 2007. My talk on this at the FEM Circus in Baltimore, March 31, 2006 (04/11/06).

  23. "Index and homology of pseudodifferential operators on manifolds with boundary" joint work with Sergiu Moroianu (06/24/06).

  24. "Weighted Sobolev spaces and regularity for polyhedral domains," joint work with Bernd Ammann Computer Methods in Applied Mechanics and Engineering, 196 (2007), 3650--3659.

  25. "Boundary value problems in spaces of distributions on smooth and polygonal domains," joint work with I. Babuska, J. Comput. Appl. Math. 218 (2008), no. 1, 137--148.

  26. "Mapping properties of heat kernels, maximal regularity, and semi-linear parabolic equations on noncompact manifolds," joint work with Anna Mazzucato, J. Hyperbolic Differ. Equ. 3 (2006), no. 4, 599--629.

  27. "A topological index theorem for manifolds with corners," joint work with Bertrand Monthubert (09/22/05)

  28. "A Thom isomorphism for gauge equivariant $K$-theory," joint work with Evgenij Troitsky. Proceedings of the conference ``$C^*$-algebras and elliptic theory,'' 213--245, Trends Math., Birkh\"auser, Basel, 2006.

  29. "Improving the rate of convergence of `high order finite elements' on polyhedra I: apriori estimates," joint work with Constantin Bacuta , and Ludmil Zikatanov . Numerical Functional Analysis and Optimization 26 (2005), 613--639.

  30. "Interior numerical approximation of boundary value problems with a distributional data," joint work with I. Babuska. (09/20/04, 04/02/05) Numerical Methods for PDES, 2006.

  31. "A non-commutative geometry approach to the representation theory of reductive $p$-adic groups: Homology of Hecke algebras, a survey and some new results." Number theory proceedings, Max Planck Conf.

  32. " Sobolev spaces on Lie manifolds and regularity for polyhedral domains," (formerly "Sobolev spaces on polyhedral domains and on manifolds with a Lie structure at infinity") joint work with Bernd Ammann and Alexandru Ionescu, appeared in Documenta Mathematica, Vol. 11 (2006), 161-206 (electronic)

  33. "Pseudodifferential operators on manifolds with a Lie structure at infinity," joint work with Bernd Ammann and Robert Lauter (03/03/03). Annals of Mathematics.

  34. " Pseudodifferential operators on non-compact manifolds and analysis on polyhedral domains," {\em Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University}, 307--328, Contemporary Mathematics, AMS, Rhode Island, 2005.

  35. " Pseudodifferential operators on non-compact manifolds," joint work with Bernd Ammann and Robert Lauter. ERA-AMS (electronic) 9 (2003), 80-87.

  36. " A note on improving the rate of convergence of `high order finite elements' on polygons," joint work with Constantin Bacuta , and Ludmil Zikatanov . Numerische Math. 100 (2005), 165--184.

  37. " Boundary layer potentials on manifolds with cylindrical ends," joint work with Marius MitreaCzechoslovak Math. Journal 57 (2007), 1151--1197.

  38. "A note on boundary value problems for manifolds with cylindrical ends," joint work with Marius Mitrea (the Laplace operator). (8/3/02)

  39. " Complex powers and non-compact manifolds," joint work with Bernd Ammann, Robert Lauter, and Andras Vasy (11/29/02); Comm. Partial Differential Equations 29 (2004), no.5-6, 671--705.

  40. " Cyclic homology and pseudodifferential operators: a survey," joint work with J. Brodzki and Moulay Benameur.

  41. " Invariance spectrale des algebres d'operateurs pseudodifferentiels (announcement/French)," joint work with Robert Lauter and Bertrand Monthubert . C.R. Acad. Sci. Paris, 2002. (12/12/01)

  42. " Homology and residues for foliations ," joint work with Moulay Benameur. (4/17/02)

  43. " An index for gauge-invariant operators and the Diximier-Douady invariant," joint work with Evgenij Troitsky Trans. AMS. 356 (2004), 185--218.

  44. " On the Riemannian geometry of manifolds with a Lie structure at infinity ," joint work with Bernd Ammann and Robert Lauter, Int. J. Math. and Math. Sciences 4 (2004), 161--193. (01/28/02, 08/25/03)

  45. " Spectral invariance of pseudodifferential operators algebras," joint work with Robert Lauter and Bertrand Monthubert . (12/12/01)

  46. (with Moulay Benameur) " Homology of algebras of families of pseudodifferential operators." Journal of Funct. Anal. 205 (2003), 1--36.

  47. (with Paul Baum) " The cyclic homology of Iwahori-Hecke algebras." $K$-theory 27 (2003), 329--358.

  48. (with Moulay Benameur) "Homology of complete symbols and non-commutative geometry," in Quantization of singular symplectic quotients, Landsman, Pflaum, and Schlichenmaier Ed., pp. 21--47, Birkhauser, 2001.

  49. (with Robert Lauter) Geometric operators on open manifolds: A groupoid approach." in Quantization of singular symplectic quotients, Landsman, Pflaum, and Schlichenmaier Ed., pp. 181--230, Birkhauser, 2001.

  50. (with Robert Lauter) "On spectra of geometric operators on open manifolds and differentiable groupoids." ERA Res. Ann. 7 (2001), 45--53 (electronic).

  51. "Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras of $p$--adic groups," Int. J. Math. and Math. Sci. 26 (2001), 129--160.

  52. (with Paul Baum) "The cyclic homology of Iwahori-Hecke algebras." (announcement) C. R. Acad. Sci. Paris Ser. I Math.332 (2001), 783--788.

  53. " An index theorem for gauge-invariant families: The case of solvable groups ," Acta Math. Hung. 99 (2003), 155--183.

  54. " Asymptotics and index for families invariant with respect to a bundle of Lie groups ," Rev. Roumaine de Math. Pures et Appliq. 47 (2002), 451--483.

  55. (with Robert Lauter and Bertrand Monthubert ) " Pseudodifferential analysis on continuous family groupoids ," Appeared in Documenta Mathematica, 5 (2000), 625--655 (electronic).

  56. "Groupoids and the integration of Lie algebroids," J. Math. Soc. Japan 52 (2000), 847--868.

  57. (with Eric Leichtnam) "Crossed product algebras and the homology of certain $p$--adic and adelic dynamical systems," K--Theory 21 (2000), 1--23.

  58. "On the kernel of the equivariant Dirac operator," Ann. Global Anal. Geom. vol. 17, 1999, 595--613.

  59. (with A. Weinstein and Ping Xu) "Pseudodifferential operators on differential groupoids," Pacific J. Math. 189 (1999), 117-152.

  60. (editor, with Jean-Luc Brylinski, Ranee Brylinski, Boris Tsygan, and Ping Xu) Advances in geometry, Progress in Mathematics, 13, Birkhauser, Boston, 1999.

  61. (with D. Kazhdan and P. Schneider) "Hochschild and cyclic homology of finite type algebras," Selecta 4 (1998), 321-359.

  62. (with R. B. Melrose) "Homology of pseudodifferential operators I" (manifolds with boundary), old preprint, its results are superseeded by the paper with Sergiu Moroianu : "Index and homology ... (but see also Asymptotics and index for families ... , as well as the paper of Lauter and Sergiu Moroianu on the subject). [".ps,"or " .pdf ."]

  63. (with R. B. Melrose) " K-Theory of C^*-algebras of b-pseudodifferential operators," GAFA, vol 8, (1998), 88-122.

  64. "Higher index theorems and the boundary map in cyclic homology," Documenta vol. 2, (1997), 263-295.

  65. "Superconnections and noncommutative geometry," Fields Institute Communications, 115-136, 1997.

  66. (with N. Higson) "Cyclic cohomology of groups acting on buildings," J. Funct. Anal. vol 141, No 2, 1996, 466-495.

  67. "The index of operators on foliated bundles," J. Funct. Anal. vol 141, No 2, 1996, 421-434.

  68. "On the Cuntz-Quillen boundary map," Mathematical Reports of the Acad. of Sci. of the Royal Soc. of Canada , vol XVI, No 5, 1995, 203-208.

  69. (with J.-L. Brylinski) "Cyclic cohomology of etale groupoids," K-theory , vol 8, 1994, 341-365.

  70. "A bivariant Chern-Connes character," Ann. of Math. , vol. 138, 1993, 555-590.

  71. "Higher McKean-Singer index formulae and non-commutative geometry," Contemporary Mathematics , Vol. 145, 1993, 439-451.

  72. "Cyclic cohomology of crossed products by algebraic groups," Inventiones Mathematicae , Vol. 112, 1993, 615-638.

  73. "A bivariant Chern character for p-summable quasi-homomorphisms," K-Theory , Vol. 5, 1991, 193-211.

  74. "Group cohomology and the cyclic cohomology of crossed products," Inventiones Mathematicae , Vol. 99, 1990, 411-424.

  75. "Fields of AF-algebras," Journal of Operator Theory , Vol. 28, 1992, 3-25.

  76. "On the homotopy groups of the automorphism group of AF-C^*-algebras," Journal of Operator Theory , Vol. 19, No. 2, 1988, 319-340.

  77. "Stable rank for a certain class of type I C^*-algebras, Journal of Operator Theory , Vol. 17, No. 2, 1987, 365-373.

  78. "Stable range for tensor products of extensions of K by C(X)," Journal of Operator Theory , Vol. 16, No. 1, 1986, 387-396.

  79. "On a problem of Pompeiu," Revue Roum. Math. Pure et Appl., tome XXVII, no. 10, p. 1053-1058, (1982).

Last modified August, 2007.

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