JOSEPH D. ZUND

Department of Mathematics Phone: (505) 646-2207
New Mexico State University Fax: (505) 646-1064
Las Cruces, NM 88003 jzund@nmsu.edu

Office Location: Walden Hall Room 209


Professional Experience Research Areas and Interests Publications Books
Education Honors Research Grants Professional Service
Ph.D. Students Professional Societies Languages (Technical Reading) Program in General Relativity 

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PROFESSIONAL EXPERIENCE

Positions Held:
Research Associate: Institute for Field Physics, Department of Physics, University of North Carolina (Chapel Hill), Summer and Fall 1964.
Visiting Lecturer: Department of Mathematics, University of North Carolina (Chapel Hill), Spring 1965.
Research Associate: Department of Mathematics and Mathematical Physics, Southwest Center for
Assistant Professor: Department of Mathematics, North Carolina State University (Raleigh), Fall
Associate Professor: Department of Mathematics, North Carolina State University (Raleigh), Fall 1967-Fall 1969.
Visiting Professor: Department of Pure Mathematics, University of Cambridge (Cambridge, England), Spring 1968-Summer 1968, Summer 1969, and Summer 1970.
Associate Professor: Department of Mathematics, Virginia Polytechnic Institute (Blacksburg), Fall 1969 and Spring 1970.

Professor: Department of Mathematical Sciences, New Mexico State University (Las Cruces), Fall 1972-2001
Visiting Scientist: National Geodetic Survey (Rockville), one week each year, Spring 1987-1991
Visiting Researcher: California Institute of Technology (Pasadena), two weeks each year, Fall 1992-2001
Exchange Professor: Department of Physics, New Mexico State University (Las Cruces) Spring 1996-2001
Emeritus Professor:
Department of Mathematical Sciences, New Mexico State University (Las Cruces) Summer 2001- ...)
Adjunct Professor:
Department of Physics, New Mexico State University (Las Cruces) Summer 2001 - ...)
Sabbatical Leaves:
1976/77 New Mexico State University
1983/84 University of California at Los Angeles
1990/91, Fall 1997 New Mexico State University
Reviewer:
Mathematical Reviews: (1965-1995)
Zentralblatt für Mathematik: (1966-...)
Springer-Verlag (1987-...)
Referee
Journal of Geodesy
Rocky Mountain Journal of Mathematics
Journal of Mathematical Physics
Physical Review Letters
National Science Foundation

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RESEARCH AREAS AND INTERESTS

Geodesy: Differential Geodesy
Geometry: Algebraic, Differential, and Projective Geometry; Continuous Groups, Invariant Theory.
Mathematical Physics: General Relativity
History of Science and Technology. 
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PUBLICATIONS

  1. "A Note on the Identities for the Curvature Tensor in Non-Riemannian Geometries," Tensor N.S., 17(1966), 24-27.
  2. "A Theorem on Spinor-Tensors," Journal of Mathematics and Mechanics, 15 (1966), 221-226.
  3. "Sur la radiation gravitationnelle," Comptes Rendus Acad. Sci. (Paris), 262(1966), 1081-1083.
  4. "Pontrjagin Numbers and Pseudo-Riemannian Geometry," Annali di Matematica Pura ed Applicata Ser. IV, 74(1966), 319-324.
  5. "Sur un operateur de Bel, applications a la géométrie différentielle," Comptes Rendus Acad. Sci. (Paris), 263(1966), 410-412.
  6. "Koszul's Formalism and the Ricci Calculus," Tensor N.S. 18(1967), 150-161.
  7. "Sur la radiation gravitationnelle" (with Jack Levine), Comptes Rendus Acad. Sci. (Paris), Ser. A, 264(1967), 1029-1032.
  8. "Some Theorems on Spinor-Tensors," Annali de Matematica Pura ed Applicata Ser. IV, 76(1967), 1-10.
  9. "A Class of Non-Integrable Singular Electromagnetic Fields," (with Jack Levine), Il Nuovo Cimento, Ser. X, 51 A(1967), 687-695.
  10. "Some Special Classes of Conformal Transformations and Curvature Tensors," Tensor N.S., 19(1968), 8-10.
  11. "Sur la caractéristique d'Euler-Poincaré et les classes de Pontrjagin pour quelques variétés riemanniennes de signature quelconque" (with Jack Levine), Comptes Rendus Acad. Sci. Paris), Ser. A, 266(1968), 535-537.
  12. "A Class of Generalized Singular Electromagnetic Fields," Il Nuovo Cimento, Ser. B, 55(1968), 15-20
  13. "Topological Aspects of the Bel-Petrov Classification," Annali di Matematica Pura ed Applicata Ser. IV, 78(1968), 365-375.
  14. "A Theorem on Geodesic Mappings" (with J. Robinson), Tensor N.S., 19(1968), 365-375.
  15. "A Spinor Approach to the Lanczos Spin-Tensor" (with W.F. Maher, Jr.), Il Nuovo Cimento, Ser. X, 57(1968), 638-648.
  16. "On the Euler-Poincaré Characteristic of Conformally Related Riemannian Manifolds, Rendiconti del Circolo Matematico di Palermo, Ser II, 17(1968), 249-256.
  17. "States of Total Pure Radiation in General Relativity" (with Jack Levine), Annali di Matematica Pura ed Applicata, Ser. IV, 80(1968), 373-396.
  18. "Degenerate Gravitational Fields with Twisting Rays" (with I. Robinson & J. Robinson), Journal of Mathematics and Mechanics, 18(1969), 881-892.
  19. "Sur une théorème de Bel, Lapiedra et Montserrat en relativite générale" (with W.F. Maher, Jr.), Comptes Rendus Acad. Sci. (Paris), Ser. A, 268(1969), 1231-1232
  20. "Sur le champ electromagnétique singulier généralisé" (with W.F. Maher, Jr.), Comptes Rendus Acad. Sci. (Paris), Ser. A, 268(1969), 1307-1308.
  21. "Algebraic Invariants and the Projective Geometry of Spinors," Annali de Matematica Pura ed Applicata, Ser. IV, 82(1969), 381-412.
  22. "A Spinor Approach to Some Problems in Lorentzian Geometry" (with W.F. Maher, Jr.), Tensor N.S., 21(1970), 70-74.
  23. "The Euler-Poincaré and Pontrjagin Characteristic Classes of Pseudo-Riemannian Manifolds" (with Jack Levine), Tensor N.S., 21(1970), 250-254.
  24. "A Note on the Bel-Robinson Spinor," Tensor N.S., 21(1970), 354-358.
  25. "The Euler-Poincaré Characteristic and Pontrjagin Number of Einstein-Lorentzian Manifolds," Accademia Nazionale dei Lincei, Rendiconti Classe di Scienze, Fisiche, Matematiche e Naturali (Roma), 49(1970), 47-51.
  26. "The Theory of Bivectors" (with E. A. Brown), Tensor N.S., 22(1971), 179-185.
  27. "A Note on the Classification of Electromagnetic Fields" (with G. C. Debney, Jr.), Tensor N.S., 22(1971), 333-340.
  28. "A Special Class of States of Total Pure Radiation in General Relativity," Tensor N.S., 23(1972), 139-143.
  29. "The Generalized Maxwell Tensor and the Projective Geometry of the Electromagnetic Field," Tensor N.S. 24(1972), 183-188.
  30. "Degenerate Gravitational Fields with Twisting Rays-II," Lettere al Nuovo Cimento 4(1972), 879-880.
  31. "Electromagnetic Theory in General Relativity-I: The Geometry of Congruences" (with G. C. Debney, Jr.), Tensor N.S., 25 (1972), 47-52.
  32. "Electromagnetic Theory in General Relativity-II: Non-Singular Fields," (with G. C. Debney), Tensor N.S., 25(1972), 53-62.
  33. "Generalizations of the Goldberg-Sachs Theorem," Rendiconti del Circolo Matematico di Palermo, Ser. II 20(1971), 297-308.
  34. "A Spinor Approach to the Generalized Singular Electromagnetic Field Theory of Bel, Lapiedra and Montserrat," (with W. F. Maher, Jr.), Journal of Mathematical Physics, 14(1973), 168-172.
  35. "Sur le spineur de Lanczos en relativité générale," Comptes Rendus Acad. Sci. (Paris), Ser. A., 276(1973), 1629-1631.
  36. "Degenerate Gravitational Fields with Twisting Rays-III," Lettere al Nuovo Cimento, 7(1973), 233-234.
  37. "A Note on the Born-Infeld Field Theory," Tensor N.S., 27(1973), 33-36.
  38. "Electromagnetic Theory in General Relativity-III: The Structure of Sources," Tensor N.S., 27(1973), 355-360.
  39. "Second Order Divergence Conditions in General Relativity," (with G. C. Debney, Jr.), Lettere al Nuovo Cimento, 11(1974), 18-20.
  40. "Electromagnetic Theory in General Relativity-IV: A Theory of Light-Darts," Tensor N.S., 28(1974), 283-289.
  41. "A Note on the Recent Theory of Dirac," (with D. Pandres), Lettere al Nuovo Cimento, 11(1974), 639-640.
  42. "A Family of Algebraically General Exact Solutions of Einstein's Source-free Field Equations," (with R. A. Harris), Tensor N.S., 29(1975), 103-106.
  43. "Some Bel-Petrov Type III Solutions of the Einstein Equations," (with R. A. Harris), Tensor N.S., 29(1975), 277-282.
  44. "The Theory of the Lanczos Spinor," Annali di Matematica Pura ed Applicata, Ser. IV, 104(1975), 239-268.
  45. "A General Family of Bel-Petrov Type III Exact Solutions of the Einstein Equations," (with R. A. Harris), Tensor N.S., 30(1976), 210-212.
  46. "Two Variable Kasner Type Solutions of Einstein's Field Equations," (with R. A. Harris), Tensor N.S., 30(1976), 255-258.
  47. "A Memoir on the Projective Geometry of Spinors," Annali di Matematica Pura ed Applicata, Ser. IV, 110(1976), 29-136.
  48. "The Theory of Double Bivectors," (with G. L. Wallace), Tensor N.S., 31(1977), 27-32.
  49. "The Invariant Theory of a Non-Linear Graviton," Tensor N.S., 31(1977), 206-208.
  50. "Electromagnetic Theory in General Relativity-V: The Vector Potential," Tensor N.S., 31(1977), 301-306.
  51. "Multivariable Kasner Type Solutions of the Source-Free Einstein Equations," (with R. A. Harris), Tensor N.S., 32(1978), 39-44.
  52. "An Algorithm for the Bel-Petrov Classification of Gravitational Fields," (with R. A. Harris), Communications of the Association of Computing Machinery, 21(1978), 715-717.
  53. "An Investigation of Dubourdieu's List of Space-times which Admit Holonomy Groups," with R. A. Harris), Journal of Mathematical Physics, 19(1978), 2052-2054.
  54. "Sur l'espace-temps de Hauser en relativite générale," Comptes Rendus Acad. Sci. (Paris), Ser. A., 296(1978), 267-268.
  55. "A Curious Solution of Einstein's Cosmological Equations" (with R. A. Harris), Tensor N.S., 32(1978), 170-172.
  56. "A Note on the Ruse-Lanczos Identity" (with J. M. Wilkes), Tensor N.S., 32(1978), 355-356.
  57. "The Projective Geometry of the Weyl Spinor," Accademia Nazionale dei Lincei, Rendiconti, Classe di Scienze, Fisiche, Matematiche e Naturali, 66(1979), 22-27.
  58. "Electromagnetic Theory in General Relativity-VI: The Poynting Vector and Zilch Tensor," (with G. L. Wallace), Tensor N.S., 33(1979), 322-328.
  59. "A Note on the Theory of Immanants," (with J.D. Thomas), Rendiconti del Circolo Matematica di Palermo, Ser. II, 20(1979), 143-150.
  60. "Maxwell's Equations and Meray's Theorem," (with J. M. Wilkes) Tensor N.S., 34(1980), 58-62.
  61. "A Spin-coefficient Approach to Type N Fields with Twist," (with G. C. Debney and J. M. Wilkes), Tensor N.S., 35(1981), 267-275.
  62. "Group-Theoretic Approach to the Schwarzchild Solution" (with J. M. Wilkes), American Journal of Physics, 50(1982), 25-27.
  63. "The Projective Geometry of the Energy-Momentum Tensor in General Relativity," Tensor N.S., 36(1982), 61-67.
  64. "Type N Twist-Free Hauserlike Gravitational Fields (with J. M. Wilkes), Tensor N.S., 37(1982), 16-18.
  65. "An Investigation of Kruchkovich's Homogeneous Space-Times," (with R. A. Harris), Tensor N.S., 37(1982), 85-89.
  66. "A Type III Solution with Twist," (with G. C. Debney and J. M. Wilkes), Tensor N.S., 37(1982), 90-92.
  67. "An Operator Derivation of Some Kronecker Delta identities," (with J. M. Wilkes), Tensor N.S., 37(1982), 162-164.
  68. "A Derivation of Hauser's Differential Equation in General Relativity," (with G. C. Debney and J. M. Wilkes), Tensor N.S., 38(1982), 159-162.
  69. "An Investigation of the Kaigorodov Space-Times-I," (with R. A. Harris), Tensor N.S., 36(1982), 233-241.
  70. "An Investigation of the Kaigorodov Space-Times-II," (with R. A. Harris), Tensor N.S., 36(1982), 242-248.
  71. "Continuous Groups of the Kasner Space-Times," (with R. A. Harris), Tensor N.S., 36(1982), 270-274.
  72. "Some Comments on Riemann's Contributions to Differential Geometry," Historia Mathematica, 10 (1983), 84-89.
  73. "A New Form of the Hauser Type N Solution in General Relativity," (with J. M. Wilkes), Lettere al Il Nuovo Cimento, 36(1983), 382-384.
  74. "Generalized Osinovsky Space-Times," (with R. A. Harris), Tensor N.S., 40(1983), 49-53.
  75. "A Note on the Geometry of Null Congruences," Tensor N.S. 41(1984), 128-131.
  76. "A Note on the Theory of Neutrinos in General Relativity," Tensor N.S. 41(1984), 226-231.
  77. "A Spin-Coefficient Approach to the Dirac Equation," Tensor N.S. 42(1985), 9-14.
  78. "General Transformation Formulae for Spin-Coefficients,"(with J. M. Wilkes), Tensor N.S. 42(1985), 35-41.
  79. "A Segre Variety Approach to Spinors," Tensor N.S. 42(1985), 79-82.
  80. "A Theorem on Rigorously Spherically Symmetric Electromagnetic Fields," (with J. M. Wilkes), Tensor N.S. 42(1985), 83-85.
  81. "Lord Rayleigh and Sir J. J. Thomson," American Journal of Physics 54 (1986), 202.
  82. "The Motion of A Free Asymmetric Top in n Dimensions," (with W. H. Julian), Studies in applied Mathematics 75 (1986), 171-178.
  83. "An Invariant-Theoretic Approach to the Transition Problem and the Bel-Petrov Classification, Tensor N.S. 43(1986), 196-201.
  84. "Conformal Geometry, Hotine's Conjecture, and Differential Geodesy," (with W. A. Moore) Air force Geophysics Laboratory Research Report AFGL-TR-87-0233 (1987), 127 pages.
  85. "Hotine's Conjecture in Differential Geodesy," (with W. Moore), Bulletin Géodésique 61 (1987), 209-222.
  86. "A Discussion of Two Criteria for Conformal Flatness," (with W. Moore), Tensor N.S. 44(1987), 90-95.
  87. "A Note on the Cayley-Darboux Equation," (with W. Moore), Tensor N.S. 45(1987), 202-205.
  88. "A Note on Dupin's Theorem and its Generalization," (with W. Moore), Tensor N.S. 46(1987), 88-90.
  89. "A Note on Liouville's Theorem in Conformal Geometry," (with W. Moore) Tensor N.S. 44(1987), 204-207.
  90. "Intrinsic Geodesy," (with A. Marussi) Report No. 390, Department of Geodetic Science and Surveying, The Ohio State University, June (1988) 137 pages.
  91. "The Significance and Generalization of Two Tranformation Formulas in Hotine's Mathematical Geodesy," (with J. M. Wilkes) Bollettino di Geodesia e Scienze Affini, anno XLVII (1988), 77-86.
  92. "The Tensorial Form of the Cauchy-Riemann Equations," Tensor N.S. 44(1987), 294-303.
  93. "Continuous Groups and Differential Geodesy," Bollettino di Geodesia e Scienze Affini, anno XLVII (1988), 119-130.
  94. "Differential Geodesy of the Eötvös Balance," Manuscripta Geodaetica 14 (1989), 13-18; also published as Geophysics Laboratory Research Report GL-TR-89-0087 (1989), 12 pages.
  95. "A Differential Form Approach to the Newman-Penrose Method of Spin-Coefficients-I: General Theory," (with J. M. Wilkes), Tensor N.S. 47(1988), 1-7.
  96. "A Differential Form Approach to the Newman-Penrose Method of Spin-Coefficients II: Applications," (with J. M. Wilkes), Tensor N.S. 47(1988), 8-19.
  97. "Tensorial Methods in Classical Differential Geometry-I: Basic Principles," Tensor N.S. 47(1988), 74-82.
  98. "Tensorial Methods in Classical Differential Geometry-II: Basic Surface Tensors," Tensor N.S. 47(1988), 83-92.
  99. "Electromagnetic Theory in General Relativity-VII: The Super-Energy Tensor," (with G. Wallace) Tensor N.S. 47(1988) 179-188.
  100. "Oblique Leg Systems in Parametric Adjustment Theory," (with G.S. Rogers and J. M. Wilkes) Bollettino di Geodesia e Scienze Affini, anno XLVIII (1989), 1-26.
  101. "Topological Foundations of the Marussi-Hotine Approach to Geodesy," Geophysics Laboratory Research Report GL-TR-89-0277 (1989), 35 pages.
  102. "A Mathematical Appreciation of Antonio Marussi's Contributions to Geodesy," Geophysics Laboratory Research Report GL-TR-89-0309 (1989), 18 pages.
  103. "Geodesy-What on Earth?" New Mexico State University College of Arts and Sciences Research, Fall 1989, 3 pages.
  104. "An Essay on the Mathematical Foundations of the Marussi-Hotine Approach to Geodesy," Bollettino di Geodesia e Scienze Affini, anno XLIX (1990), 133-179.
  105. "The Assertion of Hotine on the Integrability Conditions for His General (, ø, N) Coordinate System," Manuscripta Geodaetica 15 (1990), 362-372.
  106. "The Hotine Problem in Differential Geodesy," Manuscripta Geodaetica 15 (1990), 373-382.
  107. "Geodetic Theory" in Contributions in Geodesy: U.S. National Report 1987-1990, XX General Assembly International Union of Geodesy and Geophysics (Vienna, August 11-24, 1991), = Reviews of Geophysics (1991), 176-181.
  108. "A Differential Form Approach to the Newman-Penrose Method of Spin-Coefficients-III: Flat Space Time" (with J. M. Wilkes) Tensor N.S. 49(1990), 198-202.
  109. "The Work of Antonio Marussi in Theoretical Geodesy," Marussi Commemorazione, Proceedings of the Geodetic Day in Honor of Antonio Marussi (Rome, October 9, 1989), Accademia Nazionale dei Lincei, Roma, (1991), 9-20.
  110. "An Optical-Physiological Analysis of the Visibility of the Fairview Lower Anchor Tower" a 3 page Appendix in The Aerial Cable Test Capability Project: An Archaeological Evaluation of the JIM Site and Fairview Alternatives, White Sands Missile Range, New Mexico in the Environmental Impact Statement: Aerial Cable Test Capability (August 1991), Human Systems Research Inc., Tularosa, NM.
  111. "Coordinates in Differential Geodesy," Phillips Laboratory Research Report PL-TR-92- 2072 (1992), 9 pages.
  112. "The Mathematical Foundations of the Hotine-Marussi Approach to Geodesy," Bollettino di Geodesia e Scienze Affini, anno LI (1992), 125-138.
  113. "Differential Cartography," Phillips Laboratory Research Report PL-TR-92-2181 (1992), 10 pages.
  114. "The Research Program of SubCommission 4: Differential Geodesy," 'The Geodesist's Handbook,' Bulletin Géodésique 66 (1992), 168-169.
  115. "Subcommission 4: Differential Geometry," Section IV Bulletin General Theory and Methodology, International Association of Geodesy 1(1993), 22-26.
  116. "The Bruns Curvature Equations and Tangential Differentiation in Differential Geodesy," Bollettino di Geodesia e Scienze Affini, anno LII (1993), 191-205.
  117. "Tensorial Methods in Classical Differential Geometry-III: Canonical Leg Representations," Tensor N.S. 52(1993), 69-75.
  118. "Hotine's (w, ø, N) Coordinate System," Phillips Laboratory Research Report, PL-TR- 93-2174 (1993), 23 pages.
  119. "Subcommission 4: Differential Geometry," Section IV Bulletin General Theory and Methodology, International Association of Geodesy 1(1994), 43-46
  120. "Specializations of Hotine's (w, ø, N) Coordinate System in Differential Geodesy" (with J. M. Wilkes), Bollettino di Geodesia e Scienze Affini, anno LIII (1994), 245-263.
  121. "A Status Report on the Marussi-Hotine Theory of Differential Geodesy," Bollettino di Geodesia e Scienze Affini, anno LIII (1994), 375-382.
  122. "The Differential Geodesy of the Spherical Representation," Phillips Laboratory Research Report, PL-TR-94-2143 (1994), 52 pages.
  123. "A Final Report on the Marussi Hypothesis in Differential Geodesy," Phillips Laboratory Research Report, PL-TR-94-2207 (1994), 28 pages.
  124. "Bromwich's Method for Solving the Source-Free Maxwell Equations," (with J.M. Wilkes), Tensor N.S. 55 (1994), 192-196.
  125. "Tensorial Methods in Classical Differential Geodesy-IV: Spherical Representation," Tensor N.S. 55 (1994), 202-208.
  126. "The Significance and Generalization of two Transformation Formulas in Hotine's Mathematical Geodesy-II," (with J.M. Wilkes), Bolletino di Geodesia e Scienze Affini, anno LIV (1995), 249-256.
  127. "Subcommission 4: Differential Geometry," Section IV Bulletin General Theory and Methodology, International Association of Geodesy 1 (1995), 55-63.
  128. "A Conjecture on Coordinate Systems in the Marussi-Hotine Theory of Differential Geodesy," Bollettino di Geodesia e Scienze Affini, annoLV (1996), 1-7.
  129. "Geodetic Commentary to the TALOS Manual," (with P. Vanicek and the I.A.G. GALOS Committee), International Hydrographic Bureau, Monaco (1996), 1-11, Appendix to Special Publication No. 51.
  130. "The Research Program of Subcommission 4: Geometry-Relativity-Cartography," 'The Geodesist's Handbook', The Journal of Geodesy 70 (1996), 943-944 and Bulletin 1996.1 Special Commission #1: Mathematical and Physical Foundations of Geodesy, International Association of Geodesy, 5-6;
  131. "Adventures in Geodesy," Westhafer Award Lecture, New Mexico State University, April 2, 1996; University Archives Collection of Westhafer Lectures.
  132. "Subcommission 4: Cartography, Geometry, Relativity, Bulletin 1996.2 Special Commisssion #1: Mathematical and Physical Foundations of Geodesy, International Association of Geodesy, 26-32.
  133. "An Essay on the Foundations of Gaussian Differential Geometry I: Completeness Questions," Bollettino di Geodesia e Scienze Affini,anno LV (1996), 377-384.
  134. "Clyde Tombaugh (1906-1997)" Astronomy & Geophysics --The Journal of the Royal Astronomical Society 38, No. 2, (April/May 1997), 38.
  135. "An Essay on the Foundations of Gaussian Differential Geometry II: Imbedding Questions," Bollettino di Geodesia e Scienze Affini, anno LVI (1997), 407-424.
  136. "A Conjecture on Coordinate Systems in the Marussi-Hotine Theory of differential Geodesy-II," Bollettino di Geodesia e Scienze Affini, anno LVII, (1998), 61-69.
  137. "Tensors and Differential Geodesy," Bollettino di Geodesia e Scienze Affini, anno LVII, (1998), 165-177.
  138. "Learning from Charlie" in Memories of Charles Oehring, published in Blacksburg, Virginia (Virginia Polytechnic Institute and State University), (1998), 3 pages.
  139. Biographical Sketch: "William Bowie (1872-1940)," in Union Medals: Ameriacan Geophysical Union; electronic publication-

  140. http://www.agu.org/inside/awards/bowie.html (2 frames=2 1/2 pages), posted 1998.
  141. Biographical Sketch: "Charles Arthur Whitten (1909-1994)," in Union Medals: Ameriacan Geophysical Union; electronic publication-

  142. http://www.agu.org/inside/awards/whitten2.html (2 frames=2 1/2 pages), posted 1998.
  143. "An Essay on the Foundations of Gaussian Differential Geometry-III : Sphere Geometry," Bollettino di Geodesia e Scienze Affini, anno LVII, (1998), 309-321.
  144. "Tensorial Methods in Classical Differential Geometry-V: Invariant Theory and Projective Geometry," Tensor N.S.58 (1997), 1433-148.
  145. "Alexander, James Wadell," American National Biography, (Oxford University Press, New York, 1999) 1,272-273.
  146. "Bartlett, William Holms Chambers," American National Biography, (Oxford University Press, New York, 1999) 2,283-284
  147. "BÔcher, Maxime," American National Biography, (Oxford University Press, New York, 1999) 3, 88-89.
  148. "Bochner, Salomon," American National Biography, (Oxford University Press, New York, 1999) 3, 89-90.
  149. "Bonner, Tom Wilkerson," American National Biography, (Oxford University Press, New York, 1999) 3, 181-182.
  150. "Brouwer, Dirk," American National Biography, (Oxford University Press, New York, 1999) 3, 641-642
  151. "Brown, Ernest William," American National Biography, (Oxford University Press, New York, 1999) 3, 668-669.
  152. "Bumstead, Henry Andrews," American National Biography, (Oxford University Press, New York, 1999)  3, 911.
  153. "Byerly, William Elwood," American National Biography, (Oxford University Press, New York, 1999)  4, 127 -128.
  154. "Cajori, Florian," American National Biography, (Oxford University Press, New York, 1999) 4, 190 -191.
  155. "Chandrasekhar, Subrahmanyan," American National Biography, (Oxford University Press, New York, 1999) 4, 670 -672.
  156. "Chauvenet, William," American National Biography, (Oxford University Press, New York, 1999) 4, 755 -756.
  157. "Cole, Frank Nelson," American National Biography, (Oxford University Press, New York, 1999), 5, 208 -209.
  158. "Eisenhart, Luther Pfahler," American National Biography, (Oxford University Press, New York, 1999) 7, 372 -374.
  159. "Evans, Griffith Conrad," American National Biography, (Oxford University Press, New York, 1999) 7, 606 - 607.
  160. "Fermi, Enrico," American National Biography, (Oxford University Press, New York, 1999) 7, 842 -844.
  161. "Fowler, William Alfred," American National Biography, (Oxford University Press, New York, 1999) 8, 331 -333.
  162. "Franck, James," American National Biography, (Oxford University Press, New York, 1999) 8, 360 -362.
  163. "Goudsmit, Samuel Abraham," American National Biography, (Oxford University Press, New York, 1999) 9, 329 -331.
  164. "Gutenberg, Beno," American National Biography, (Oxford University Press, New York, 1999) 9, 735 -736.
  165. "Harish-Chandra," American National Biography, (Oxford University Press, New York, 1999) 10, 80 -81.
  166. "Hill, George William," American National Biography, (Oxford University Press, New York, 1999) 10, 781 -783.
  167. "Hille, Einar," American National Biography, (Oxford University Press, New York, 1999) 10, 807-808.
  168. "Hoffmann, Banesh," American National Biography, (Oxford University Press, New York, 1999) 10, 948 -950.
  169. "Hofstadter, Robert," American National Biography, (Oxford University Press, New York, 1999) 11, 4 -6.
  170. "Johnson, William Woolsey," American National Biography, (Oxford University Press, New York, 1999) 12, 145 -146.
  171. "Kellogg, Oliver Dimon," American National Biography, (Oxford University Press, New York, 1999) 12, 503 -504.
  172. "Kemble, Edwin Crawford," American National Biography, (Oxford University Press, New York, 1999) 12, 540 -542.
  173. "Kent, Robert Harrington," American National Biography, (Oxford University Press, New York, 1999) 12, 601 -602.
  174. "Kusch, Polykarp," American National Biography, (Oxford University Press, New York, 1999) 13, 2 -3.
  175. "Laporte, Otto," American National Biography, (Oxford University Press, New York, 1999) 13, 192 -193.
  176. "Lewy, Hans," American National Biography, (Oxford University Press, New York, 1999) 13, 616 -617.
  177. "Loomis, Francis Wheeler," American National Biography, (Oxford University Press, New York, 1999) 13, 905 -906.
  178. "McClintock, Emory," American National Biography, (Oxford University Press, New York, 1999) 14, 876 -877.
  179. "Merrill, George Perkins," American National Biography, (Oxford University Press, New York, 1999) 15, 359 -360.
  180. "Millikan, Clark Blanchard," American National Biography, (Oxford University Press, New York, 1999) 15, 530 -531.
  181. "Minto, Walter," American National Biography, (Oxford University Press, New York, 1999) 15, 579 -580.
  182. "Morley, Frank," American National Biography, (Oxford University Press, New York, 1999) 15, 875 -876.
  183. "Morse, Marston," American National Biography, (Oxford University Press, New York, 1999) 15, 936 -937.
  184. "Murnaghan, Francis Dominic," American National Biography, (Oxford University Press, New York, 1999) 16, 124 -125.
  185. "Osgood, William Fogg," American National Biography, (Oxford University Press, New York, 1999) 16, 801 -802.
  186. "Page, Leigh," American National Biography, (Oxford University Press, New York, 1999) 16, 903 -904.
  187. "Peirce, James Mills," American National Biography, (Oxford University Press, New York, 1999) 17, 255 -256.
  188. "Polya, George," American National Biography, (Oxford University Press, New York, 1999) 17, 645 -646.
  189. "Robinson, Julia Bowman," American National Biography, (Oxford University Press, New York, 1999) 18, 668 -669.
  190. "Robertson, Howard Percy," American National Biography, (Oxford University Press, New York, 1999) 18, 621 -622.
  191. "Schwinger, Julian Seymour," American National Biography, (Oxford University Press, New York, 1999) 19, 477 -479.
  192. "Steenrod, Norman Earl," American National Biography, (Oxford University Press, New York, 1999) 20, 609 -610.
  193. "Steinmetz, Charles Proteus," American National Biography, (Oxford University Press, New York, 1999) 20, 643 -644.
  194. "Stone, Marshall Harvey," American National Biography, (Oxford University Press, New York, 1999) 20, 864 -865.
  195. "Stone, Ormand," American National Biography, (Oxford University Press, New York, 1999) 20, 867 -868.
  196. "Stringham, Irving," American National Biography, (Oxford University Press, New York, 1999) 21, 29 -30.
  197. "Szilard, Leo," American National Biography, (Oxford University Press, New York, 1999) 21, 238 -240.
  198. "Taussky-Todd, Olga," American National Biography, (Oxford University Press, New York, 1999) 21, 346 -348.
  199. "Thomas, Tracy Yerkes," American National Biography, (Oxford University Press, New York, 1999) 21, 529 -530.
  200. "Ulam, Stanislaw Marcin," American National Biography, (Oxford University Press, New York, 1999) 22, 93 -95.
  201. "Veblen, Oswald," American National Biography, (Oxford University Press, New York, 1999) 22, 307 -308.
  202. "von Neumann, John," American National Biography, (Oxford University Press, New York, 1999) 22, 399 -401.
  203. "Walsh, Joseph Leonard," American National Biography, (Oxford University Press, New York, 1999) 22, 571 -572.
  204. "Webster, Arthur Gordan," American National Biography, (Oxford University Press, New York, 1999) 22, 863 -864.
  205. "Weyl, Hermann," American National Biography, (Oxford University Press, New York, 1999) 23, 101 -103.
  206. "Whitney, Hassler," American National Biography, (Oxford University Press, New York, 1999) 23, 303 -304.
  207. "Wigner, Eugene Paul," American National Biography, (Oxford University Press, New York, 1999) 23, 361 -363
  208. "Wilder, Raymond Louis," American National Biography, (Oxford University Press, New York, 1999) 23, 379 -380.
  209. "Wright, Arthur Williams," American National Biography, (Oxford University Press, New York, 1999) 24, 2 -3.
  210. "Commentary on Lanczos's 'A Remarkable Property of the Riemann-Christoffel Tensor in Four Dimensions,' " Cornelius Lanczos: Collected Published Papers with Commentaries," North Carolina State University and the Eötvös Physical Society, (1999) 2, 1637-1639.
  211. "Commentary on Lanczos's 'The Splitting of the Riemannian Tensor,' " Cornelius Lanczos: Collected Published Papers with Commentaries,"
  212. North Carolina State University and the Eötvös Physical Society, (1999) 2, 1923-1925.
  213. "Commentary on Two Papers (1962a) and (1962b) by Lanczos," Cornelius Lanczos: Collected Published Papers with Commentaries,"
  214. North Carolina State University and the Eötvös Physical Society, (1999) 2, 1925.
  215. "Hotine's Transformation Formulas Revisited," Bollettino di Geodesia e Scienze Affini, anno LVIII, (1999), 275 -288.
  216.  "An Essay on the Foundations of Gaussian Differential Geometry-IV : Parametric Systems," Bollettino di Geodesia e Scienze Affini, anno LVIII, (1999), 325-352.
  217.  "A Note on the Existence of a Canonical Form for the Curvature Tensor in Riemannian Geometry," (with J. M. Wilkes), Tensor N.S. 60(1998), 179-183.
  218.  "An Essay on the Foundations of Gaussian Differential Geometry-V : Operator Methods," Bollettino di Geodesia e Scienze Affini, anno LIX (2000), 351-368.
  219.  "Areas of the Event Horizon and Stationary Limit Surface for a Kerr BlackHole," (with C. A. Pickett), American Journal of Physics 68 (2000), 246-248.
  220. "Generalization of a Pair of Algebraic Symmetry Conditions in Tensor Analysis," Tensor N.S. 61 (1999), 41-46.
  221. "An Essay on the Foundations of Gaussian Differential Geometry-VI :The Reciprocal Gauss Operator," Bollettino di Geodesia e Scienze Affini, anno LX (2001), 191-212.
  222. "George David Birkhoff and John von Neuman: A Question of Priority and the Mean Ergodic Theorem: 1931-1932, Historia Mathematica, 29 (2002), 138-156.
  223. "An Essay on the Foundations of Gaussian Differential Geometry-VII : The Parametrization Problem Revisited," Bolletino di Geodesia e Scienze Affini, anno LXII (2003), 63-76.
  224. "The Grassmann Identity and the Generalized Kronecker Deltas," Tensor N.S. 64 (2003), 2005-210.
  225. "An Essay on the Foundations of Gaussian Differential Geometry-VIII : The Leg Integrability Conditions," Bollettino di Geodesia e Scienze Affini, anno LXII (2003), 195-212.
  226. "The Schouten-Struik Theorem in Riemmanian Geometry," Tensor N.S. 65 (2004), 109-111.
  227. "Gaussian Differenital Geometry and Differential Geodesy," V Hotine-Marussi Symposium in Mathematical Geodesy, Matera 17-21 June 2002, Berlin: Springer Verlag, (2004), in press.
  228. "An Essay on the Foundations of Gaussian Differential Geometry-IX: Theory of Reciprocal Tensors," Bollettino di Geodesia e Scienze Affini, anno LXIV (2005), 195-212.
  229. "Dirac and Projective Geometry," The Eagle 2006, 37-41.
  230. "An Essay on the Foundations of Gaussian Differential Geometry-X: Umbilical Points and the Parametrization Problem," Bollettino di Geodesia e Scienze Affini, anno LXV (2006), in press.

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BOOKS

  1. Differential Geodesy by Martin Hotine, Springer-Verlag, Berlin-Heidelberg-New York (1991) 202 pages. This is a collection of selected unpublished papers of Hotine dealing with differential geodesy. I served as editor and wrote commentaries on each of the twelve items included in this monograph.
  2. Foundations of Differential Geodesy, Springer-Verlag, Berlin-Heidelberg-New York (1994) 374+ pages. This is advanced graduate text/research monograph on theoretical geodesy which is a culmination of my work on differential geodesy since 1986. About 70% of the material is new research which has not been previously published.

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EDUCATION

B.S. (Mathematics): Texas A & M University (College Station), January 1961
M.S. (Mathematics): Texas A & M University (College Station), August 1961, M.S. Thesis: "The Lagrangian Formulation of the Gravitational Field Equations in General Relativity" (not published)
Ph.D. (Mathematics): University of Texas (Austin), May 1964, Ph.D. Thesis: "Degenerate (Gravitational) Fields with Twisting Rays" (see #18, 30, 36 of List of Publications)
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HONORS

Fellow: Royal Astronomical Society (elected January 13, 1989).
Speaker: XIX General Assembly, International Association of Geodesy (Vancouver, University of British Columbia, August 9-22, 1987).
Invited Speaker: II-Hotine-Marussi Symposium on Mathematical Geodesy, Pisa, Scuola Normale Superiore, June 5-8, 1989.
Invited Speaker: Commemorazione di Antonio Marussi (Roma, Accademia dei Lincei, October 9, 1989).
U.S. Delegate: XX General Assembly, International Union of Geodesy and Geophysics (Vienna, August 11-24, 1991).
Co-author: U.S. National Report (1987-1990) for the XX General Assembly, International Union of Geodesy and Geophysics - see item #107 of List of Publications.
Speaker: XX General Assembly, International Association of Geodesy (Vienna, August 11-24, 1991).
Chairman: SubCommission 4: Differential Geometry (1991-1995), Geometry-Relativity- Cartography (1995-1999); Special Commission on the Mathematical and Physical Foundations of Geodesy, International Association of Geodesy.
Invited Speaker and Co-organizer: First International Symposium on the Mathematical and Physical Foundations of Geodesy (Stuttgart, September 7-9, 1993).
Sixth Annual Ralph B. Crouch Award in Recognition of Outstanding Contribution to the Life of the NMSU University Community (9 May 1994).
Speaker: XXI General Assembly, International Association of Geodesy (Boulder, University of Colorado: July 3-14, 1995).
Fellow: International Association of Geodesy (elected July 13, 1995).
Westhafer Award for Excellence in Research for 1995-96, New Mexico State University, (2 April 1996). 
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RESEARCH GRANTS

Research Associate: Physical Sciences and Applied Mathematics, North Carolina State University (Raleigh), Summer 1966.
Principal Investigator: Topological Problems in General Relativity, National Science Foundation GP-7401, North Carolina State University (Raleigh), Summer 1967-Fall 1968.
Principal Investigator: Conformal and Non-Conformal Transformations in Differential Geodesy, Air Force Geophysics Laboratory, New Mexico State University, June 1986-June 1988.
Principal Investigator: The Marussi Hypothesis in Differential Geodesy, Geophysics Laboratory (Air Materiel Command), New Mexico State University, August 1989- June 1994. 
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PROFESSIONAL SERVICE

(The name of the chairman, president, or director is indicated in brackets.)
International Association of Geodesy, Special Study/Working Groups and Special Commissions, and Committees:

(1987-1991) SSG 4.119 Relativistic Effects in Geodesy, .........[E. Grafarend, Germany];

(1987-1991) SSG 4.120 Nonlinear Adjustments, ..................[P. Teunissen, Netherlands];

(1988-1995) Special Commission: Geodetic Aspects of the Law of the Sea (GALOS),

(1995- ....) Special Committee: Geodetic Aspects of the Law of the Sea (GALOS), [P. Vanicek, Canada];

(1991-1999) Special Commission: Mathematical and Physical Foundations of Geodesy, [E. Grafarend, Germany],

and

(1991-1995) Chairman of SubCommission 4: Differential Geometry,

(1995-1999) Chairman of SubCommission 4: Geometry-Relativity-Cartography, [J. Zund, U.S.A.];

(1991-1995) Special Commission: History of Geodesy,

(1995-1999) Special Committee: History of Geodesy, ................[J. Weightman, Scotland];
 
 

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(1994- 1999) Geodesy Representative: History of Geophysics Committee, American Geophysical Union, ........................................................[S. Weiler, U.S.A.];
 
 

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(1995-1999) Contributor and Consultant: American National Biography, Oxford University Press, .........................................................[M. Van Atta, U.S.A.].
 


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Ph.D. STUDENTS (ALL AT NEW MEXICO STATE UNIVERSITY)

R. A. Harris: A Computer Investigation of Exact Solutions of the Einstein Equations in General Relativity, Fall 1974 (see #42, 43, 45, 46, 51, 52, 53, 55, 69, 70, 71, 74 of List of Publications).
W. A. Moore: Conformal Geometry and Differential Geodesy, Fall 1986 (see #84, 85, 86, 87, 88, 89, of List of Publications).
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PROFESSIONAL SOCIETIES

American Geophysical Union (Life Member)
International Association of Geodesy (Fellow)
London Mathematical Society (Member)
Royal Astronomical Society (Fellow)
The Tensor Society (Member)
United States Naval Institute (Life Member)
The Planetary Society (Member)
The Associates of the California Institute of Technology (Life Member)

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LANGUAGES (TECHNICAL READING)

Dutch
French
German
Italian
Latin
Portuguese
Russian 
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Revised on Friday, February 16, 2007
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