C Denson Hill

Publications:

  1. Sharp version of the Goldberg-Sachs theorem (with R. Gover and P. Nurowski), to appear.

  2. Holomorphic extension from weakly pseudoconcave CR manifolds (with A. Altomani, M. Nacinovich and E. Porten), to appear.

  3. Complex vector fields and hypoelliptic partial differential operators (with A. Altomani, M. Nacinovich and E. Porten), submitted, (31pp).

  4. Intrinsic geometry of oriented congruences in three dimensions (with P. Nurowski), J. Geom. Phys. 59, (2009), 133-172, doi:10.1016/j.geomphys.2008.10.001

  5. Einstein's equations and the embedding of 3-dimensional CR manifolds (with J. Lewandowski and P. Nurowski), Ind. Univ. Math. J. 57, 7 (2008), 3131-3176, math.DG, arXiv: 0709.3660.

  6. On the Cauchy problem for the ∂ operator (with J. Brinkschulte), Arkiv foer Mat appearing (2008), 1-11.

  7. Twisting rays imply conformally periodic universes (with P. Nurowski), Class. Q. Grav. 25, 3 (2008), 035014 (5pp) doi:10.1088/0264-9381/25/3/035014.

  8. Remarks on weakly pseudoconvex boundaries: Erratum (with J. Brinkshulte and M. Nacinovich), Indag. Mathem. N.S. 18 , 1 (2007), 1-2.

  9. The complex Frobenius theorem for rough involutive structures (with M. Taylor), Trans. AMS 359, 1 (2007), 293-322.

  10. On the failure of the Poincare lemma for the ∂ M complex II (with M. Nacinovich), Math. Ann. 335, 1 (2006), 193-219.

  11. Elementary pseudoconcavity and fields of CR meromorphic functions (with M. Nacinovich), Rend. Sem. Mat. Univ. Padova 113 (2005), 99-115.

  12. Holomorphic correspondences between CR manifolds (with R. Shafikov), Indiana Univ. Math. J. 54, 2 (2005), 417-441.

  13. Stein fillability and the realization of contact manifolds (with M. Nacinovich), Proceed. AMS 133, 6 (2005), 1843-1850.

  14. The H-principle and pseudoconcave CR manifolds (with E. Porten), Contemp. Math. 389 (2005), 117-123. [Proceed. Albertofest, Cuernavaca, 2004]

  15. Fields of CR meromorphic functions (with M. Nacinovich), Rend. Sem. Mat. Univ. Padova, 111 (2004), 179-204.

  16. Integrability of rough almost complex structures (with M. Taylor), J. Geom. Anal. 12, 1 (2003), 163-172.

  17. Weak pseudoconcavity and the maximum modulus principle (with M. Nacinovich), Ann. Mat. Pura Appl. 182 (2003), 103-112.

  18. Remarks on weakly pseudoconvex boundaries (with J. Brinkschulte and M. Nacinovich), Indag. Mathem. N.S., 14 (1) (2003), 1-10.

  19. The Poincare lemma and local embeddability (with J. Brinkschulte and M. Nacinovich), Boll. U.M.I. 8,6-B (2003), 393-398.

  20. On the failure of the Poincare lemma for the ∂ M complex (with M. Nacinovich), Math. Ann. 324,6 (2002), 213-224.

  21. Obstructions to generic embeddings (with J. Brinkschulte and M. Nacinovich), Ann. Inst. Fourier 52,6, Grenoble (2002), 1785-1792.

  22. The conormal type function for CR manifolds (with R. Dwilewicz), Publ. Math. Debrecen (2002), 245-282.

  23. Pseudoconvexity at infinity (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1,229.1228 (Feb. 2000), in Selected topics in Cauchy-Riemann geometry (ed. S. Dragomir), quarderni di matematica vol 9, Aracne, Caserta (2001), 139-173.

  24. Two lemmas on double complexes and their applications to CR cohomology (with M. Nacinovich), in Selected topics in Cauchy-Riemann geometry (ed. S. Dragomir), quarderni di matematica vol 9, Aracne, Caserta (2001), 125-138.

  25. A weak pseudoconcavity condition for abstract almost CR manifolds (with M. Nacinovich), Inventiones Math. 142 (2000), 251-283.

  26. Conormal suspensions of differential complexes (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.179.1041 (June 1977); J. Geom. Anal. 10, 3 (2000), 496-537.

  27. Leray residues and Abel's theorem in CR codimension k (with M. Nacinovich), Ann. Mat. Pura Appl. CLXXVI (1999), 287-322.

  28. Solvable Lie algebras and the embedding of CR manifolds (with M. Nacinovich), Boll. U.M.I. 8, 2-B (1999), 121-126.

  29. Spinning analytic discs and domains of dependence (with R. Dwilewicz), Manuscripta math. 97 (1998), 407-427.

  30. Simplicially q-pseudoconcave CR manifolds and wedge decomposition (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.113, 845 (Feb. 1995); Sem. di Geom. Bologna 1996-1997 , 111-124.

  31. On the Cauchy problem in complex analysis (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.103, 821 (Oct 1994); Ann. Mat. Pura Appl. CLXXI (1996), 159-179.

  32. Duality and distribution cohomology of CR manifolds (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.93, 787 (Feb 1994); Ann. Scuola Norm. Sup. Pisa, 22, 2 (1995), 315-339.

  33. Aneurysms of Pseudoconcave CR manifolds (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.83, 745 (June 1993); Math. Zeitschrift 220 (1995), 347-367.

  34. Pseudoconcave CR manifolds (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.76, 723 (Feb 1993); in Complex Analysis and Geometry (V. Ancona, E. Ballico, A. Silva, ed.), Lecture notes in pure and applied mathematics vol. 173, Marcel Decker, New York (1996), 275-297.

  35. The Jacobian theorem for mapping of pseudoconcave CR hypersurfaces (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.90, 767 (Oct 1993); Boll. U.M.I., 7 (1995), 149-155.

  36. The topology of Stein CR manifolds and the Lefschetz theorem (with M. Nacinovich), Ann. Inst. Fourier Grenoble, 43 (1993), 459-468.

  37. Embeddable CR manifolds with nonembeddable smooth boundary (with M. Nacinovich), prépublication de l'Institut Fourier Grenoble, n.199 (1992); Boll. U.M.I., 7 (1993), 387-395.

  38. A necessary condition for global Stein immersion of compact CR manifolds (with M. Nacinovich), prépublication de l'Institut Fourier Grenoble, n.198 (1992); Riv. Mat. Univ. Parma, (5) 1 (1992), 175-182.

  39. A collar neighborhood theorem for a complex manifold (with M. Nacinovich), prépublication de l'Institut Fourier Grenoble, n.197 (1992); Rend. Sem. Mat. Univ. Padova, 91 (1994), 23-30.

  40. A characterization of harmonic functions and points of finite and infinite type (with R. Dwilewicz), Indag. Mathem., 4 (1993), 39-50.

  41. Newlander-Nirenberg theorem on supermanifolds with boundary (with S. R. Simanca), Riv. Mat. Univ. Parma, (5) 2 (1993), 213-228.

  42. An analytic disc approach to the notion of type of points (with R. Dwilewicz), Indiana Math. J., 41 (1992), 713-739.

  43. The CIT scan (with R. D. Sidman), in Wave Propagation and Inversion (W. E. Fitzgibbon, M. F. Wheeler, ed.), SIAM (1992), 34-45.

  44. Counterexamples to Newlander-Nirenberg up to the boundary , Proc. Symp. Pure Math. (SCV), 52, AMS, Providence, R.I. (1991), 191-197.

  45. The Maxwell condition in Friedmann cosmology , in The Math. Heritage of C. F. Gauss (G. M. Rassias, ed.), World Scientific, Singapore (1991), 349-357.

  46. Effective computation of the symmetric lens (with P. Susskind, V. Giambalvo), in Applied and Industrial Mathematics: Venice I (R. Spigler, ed.), Kluwer, Dordrecht (1991), 351-357.

  47. Numerical tests of a method for simulating electrical potentials on the cortical surface (with R. B. Kearfott, R. D. Sidman, D. J. Major), IEEE Trans. Biomedical Eng., 38 ,3 (1991), 294-299.

  48. The super complex Frobenius theorem (with S. R. Simanca), Annales Polonici Math. 55 (1991), 139-155.

  49. A family of exotic structures on S 2 X S 3 , in Analyse Complexe Multi variable: Récents Développements (A. Méril, ed.), Guadalupe (1988), Edit El, Commenda di Rende (1991), 105-110.

  50. Development and application of mathematical techniques for the non invasive localization of the sources of scalp-recorded electric potentials (with R. D. Sidman, et. al.), Biomedical Systems Modelling and Simulation, Vol. 5 IMACS Trans. Scientific Computing (J. Eisenfeld and D. S. Levine, ed.), J. C. Baltzer AG, Basel (1988), 133-157.

  51. The inverse problem of electroencephalography using an imaging technique for simulating cortical surface data (with R. B. Kearfott and R. D. Sidman), Proc. 12th IMACS world Congress (R. Vichnevetsky, P. Borne and J. Vignes, ed.), 3 (1988), 735-738.

  52. What is the notion of a complex manifold with a smooth boundary?, Algebraic Analysis, Vol. 1(Kashiwara and Kawai, ed.) Academic Press (1988), 185-201. [Volumes dedicated to M. Sato.]

  53. On the H. Lewy extension phenomenon in higher codimension (with G. Taiani), Proc. AMS, 91 , 4 (1984), 568-572.

  54. Real analytic approximation of locally embeddable CR manifolds (with G. Taiani), Compositio Math., 44 (1981), 113-131. [Volume dedicated to A. Andreotti.]

  55. Global uniqueness in the disc lifting problem (with G. Taiani), J. Diff. Geom., 15 (1980), 217-223.

  56. Families of analytic discs in C n with boundaries on a prescribed CR submanifold (with G. Taiani), Ann. Scuola Norm. Sup. Pisa, 5 , 2 (1978), 327-380. [Reprinted in the volume dedicated to H. Lewy, Pisa, 1979.]

  57. Hyperfunction cohomology classes and their boundary values (with B. MacKichan), Ann. Scuola Norm. Sup. Pisa, 4 , 3 (1977), 577-597. [Reprinted in the volume dedicated to J. Leray, Pisa, 1979.]

  58. The local family of analytic discs attached to a CR submanifold (with G. Taiani), Proc. Conference on "Several complex variables and related topics in harmonic analysis" , Cortona, Italy (1978), 166-179.

  59. Function theory on tube manifolds (with M. Kazlow), Proc. Symp. Pure Math. (SCV), 30, AMS , Providence, R.I. (1977), 153-156.

  60. The maximum modulus principle for CR functions on smooth real embedded submanifolds on C n (with D. Ellis), Proc. Symp. Pure Math. (SCV), 30, AMS , Providence, R.I. (1977), 139-140.

  61. Complexes of differential operators (with A. Andreotti, S. L ojasiewicz, and B. MacKichan), Inventiones Math., 35 , (1976), 43-86. [Volume dedicated to J. P. Serre.]

  62. The maximum modulus principle, I. Necessary Conditions (with D. Ellis and C. Seabury), Indiana Univ. Math. J., 25 , 7 (1976), 709-715.

  63. Mayer-Vietoris sequences for complexes of partial differential operators (with A. Andreotti, S. Lojasiewicz, and B. MacKichan), Bull. AMS, 82 , 3 (1976), 487-490.

  64. A hierarchy of nonsolvability examples , Proc. Symp. Pure Math. (Diff. Geom.), 27, AMS , Providence, R.I. (1975), 301-305.

  65. On the maximum modulus principle for the tangential Cauchy-Riemann equations (with J. Carlson), Math. Ann., 208 , (1974), 91-97.

  66. The Cauchy problem for ∂ , Proc. Symp. Pure Math. (PDE), 23, AMS , Providence, R.I. (1973), 135-143.

  67. A PDE in R 3 with strange behavior , Indiana Univ. Math. J. 22 , 5 (1972), 415-517.

  68. A Kontinuitätssatz for ∂ M and Lewy extendibility , Indiana Univ. Math. J., 22 , 4 (1972), 339-353.

  69. Classical solutions in the large of a two-phase free boundary problem, II (with D. B. Kotlow), Arch. Rational Mech. Anal., 47 , 5 (1972), 369-379.

  70. Classical solutions in the large of a two-phase free boundary problem, I (with D. B. Kotlow), Arch. Rational Mech. Anal., 45 , 1 (1972), 63-78.

  71. E. E. Levi convexity and the Hans Lewy problem, Part II: Vanishing theorems (with A. Andreotti), Ann. Scuola Norm. Sup. Pisa, 26 , 4 (1972), 747-806.

  72. E. E. Levi convexity and the Hans Lewy problem, Part I: Reduction to vanishing theorems (with A. Andreotti), Ann. Scuola Norm. Sup. Pisa, 26 , 2 (1972), 325-363.

  73. Complex characteristic coordinates and tangential Cauchy-Riemann equations (with A. Andreotti), Ann. Scuola Norm. Sup. Pisa, 26 , 2 (1972), 299-324.

  74. The one-phase Stefan problem for the heat equation with boundary temperature specifications (with J. R. Cannon and M. Primicerio), Arch. Rational Mech. Anal., 39 , 4 (1970), 270-274.

  75. On the movement of a chemical reaction interface (with J. R. Cannon), Indiana Univ. Math. J., 20 , 5 (1970), 429-454.

  76. A sharp maximum principle for degenerate elliptic-parabolic equations , Indiana Univ. Math. J., 20 , 3 (1970), 213-229.

  77. A hyperbolic free boundary problem , J. Math. Anal. Appl., 31 , 1 (1970), 117-129.

  78. Linear functionals and the Cauchy-Kowalewski theorem , J. Math. Mech., 19 , 3 (1969), 271-278.

  79. On the numerical solution of degenerate elliptic-parabolic equations , SIAM J. Numer. Anal., 5 , 4 (1968), 717-724.

  80. A finite-difference method for degenerate elliptic-parabolic equations (with J. R. Cannon), SIAM J. Numer. Anal., 5 , 2 (1968), 211-218.

  81. Continuous dependence of bounded solutions of a linear parabolic partial differential equation upon interior Cauchy data , (with J. R. Cannon), Duke Math. J., 35 , 2 (1968), 217-230.

  82. On the infinite differentiability of the free boundary in a Stefan problem (with J. R. Cannon), J. Math. Anal. Appl., 22 , 2 (1968), 385-397.

  83. Remarks on a Stefan problem (with J. R. Cannon), J. Math. Mech., 17 , 5 (1967), 433-442.

  84. A multi-boundary Stefan problem and the disappearance of phases (with J. R. Cannon and J. Douglas, Jr.), J. Math. Mech., 17 , 1 (1967), 21-34.

  85. Existence, uniqueness, stability, and monotone dependence in a Stefan problem for the heat equation (with J. R. Cannon), J. Math. Mech., 17 , 1 (1967), 1-20.

  86. A method for the construction of reflection laws for a parabolic equation , Trans. AMS, 133 , 2 (1968), 357-372.

  87. Parabolic equations in one space variable and the noncharacteristic Cauchy problem , Comm. Pure Appl. Math., 20 , 3 (1967), 619-633.

  88. On the reflection of solutions of linear partial differential equations , PhD Thesis , Courant Institute Math. Sc., NYU (1966).