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
Return
to Faculty Page, Return
to Mathematics Homepage
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
Return to top of page
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.
Return to top of page
PUBLICATIONS
-
"A Note on the Identities for the Curvature Tensor in Non-Riemannian
Geometries," Tensor N.S., 17(1966), 24-27.
-
"A Theorem on Spinor-Tensors," Journal of Mathematics
and Mechanics, 15 (1966), 221-226.
-
"Sur la radiation gravitationnelle," Comptes Rendus Acad.
Sci. (Paris), 262(1966), 1081-1083.
-
"Pontrjagin Numbers and Pseudo-Riemannian Geometry," Annali
di Matematica Pura ed Applicata Ser. IV, 74(1966), 319-324.
-
"Sur un operateur de Bel, applications a la géométrie
différentielle," Comptes Rendus Acad. Sci. (Paris), 263(1966),
410-412.
-
"Koszul's Formalism and the Ricci Calculus," Tensor N.S.
18(1967), 150-161.
-
"Sur la radiation gravitationnelle" (with Jack Levine), Comptes
Rendus Acad. Sci. (Paris), Ser. A, 264(1967), 1029-1032.
-
"Some Theorems on Spinor-Tensors," Annali de Matematica
Pura ed Applicata Ser. IV, 76(1967), 1-10.
-
"A Class of Non-Integrable Singular Electromagnetic Fields,"
(with Jack Levine), Il Nuovo Cimento, Ser. X, 51 A(1967), 687-695.
-
"Some Special Classes of Conformal Transformations and Curvature
Tensors," Tensor N.S., 19(1968), 8-10.
-
"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.
-
"A Class of Generalized Singular Electromagnetic Fields,"
Il
Nuovo Cimento, Ser. B, 55(1968), 15-20
-
"Topological Aspects of the Bel-Petrov Classification," Annali
di Matematica Pura ed Applicata Ser. IV, 78(1968), 365-375.
-
"A Theorem on Geodesic Mappings" (with J. Robinson), Tensor
N.S., 19(1968), 365-375.
-
"A Spinor Approach to the Lanczos Spin-Tensor" (with W.F.
Maher, Jr.), Il Nuovo Cimento, Ser. X, 57(1968), 638-648.
-
"On the Euler-Poincaré Characteristic of Conformally
Related Riemannian Manifolds, Rendiconti del Circolo Matematico di Palermo,
Ser II, 17(1968), 249-256.
-
"States of Total Pure Radiation in General Relativity" (with
Jack Levine), Annali di Matematica Pura ed Applicata, Ser. IV, 80(1968),
373-396.
-
"Degenerate Gravitational Fields with Twisting Rays" (with
I. Robinson & J. Robinson), Journal of Mathematics and Mechanics,
18(1969),
881-892.
-
"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
-
"Sur le champ electromagnétique singulier généralisé"
(with W.F. Maher, Jr.), Comptes Rendus Acad. Sci. (Paris), Ser.
A, 268(1969), 1307-1308.
-
"Algebraic Invariants and the Projective Geometry of Spinors,"
Annali
de Matematica Pura ed Applicata, Ser. IV, 82(1969), 381-412.
-
"A Spinor Approach to Some Problems in Lorentzian Geometry"
(with W.F. Maher, Jr.), Tensor N.S., 21(1970), 70-74.
-
"The Euler-Poincaré and Pontrjagin Characteristic
Classes of Pseudo-Riemannian Manifolds" (with Jack Levine), Tensor N.S.,
21(1970), 250-254.
-
"A Note on the Bel-Robinson Spinor," Tensor N.S.,
21(1970), 354-358.
-
"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.
-
"The Theory of Bivectors" (with E. A. Brown), Tensor N.S.,
22(1971),
179-185.
-
"A Note on the Classification of Electromagnetic Fields"
(with G. C. Debney, Jr.), Tensor N.S., 22(1971), 333-340.
-
"A Special Class of States of Total Pure Radiation in General
Relativity," Tensor N.S., 23(1972), 139-143.
-
"The Generalized Maxwell Tensor and the Projective Geometry
of the Electromagnetic Field," Tensor N.S. 24(1972), 183-188.
-
"Degenerate Gravitational Fields with Twisting Rays-II,"
Lettere
al Nuovo Cimento 4(1972), 879-880.
-
"Electromagnetic Theory in General Relativity-I: The Geometry
of Congruences" (with G. C. Debney, Jr.), Tensor N.S., 25 (1972),
47-52.
-
"Electromagnetic Theory in General Relativity-II: Non-Singular
Fields," (with G. C. Debney), Tensor N.S., 25(1972), 53-62.
-
"Generalizations of the Goldberg-Sachs Theorem," Rendiconti
del Circolo Matematico di Palermo, Ser. II 20(1971), 297-308.
-
"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.
-
"Sur le spineur de Lanczos en relativité générale,"
Comptes
Rendus Acad. Sci. (Paris), Ser. A., 276(1973), 1629-1631.
-
"Degenerate Gravitational Fields with Twisting Rays-III,"
Lettere
al Nuovo Cimento, 7(1973), 233-234.
-
"A Note on the Born-Infeld Field Theory," Tensor N.S.,
27(1973),
33-36.
-
"Electromagnetic Theory in General Relativity-III: The Structure
of Sources," Tensor N.S., 27(1973), 355-360.
-
"Second Order Divergence Conditions in General Relativity,"
(with G. C. Debney, Jr.), Lettere al Nuovo Cimento, 11(1974), 18-20.
-
"Electromagnetic Theory in General Relativity-IV: A Theory
of Light-Darts," Tensor N.S., 28(1974), 283-289.
-
"A Note on the Recent Theory of Dirac," (with D. Pandres),
Lettere
al Nuovo Cimento, 11(1974), 639-640.
-
"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.
-
"Some Bel-Petrov Type III Solutions of the Einstein Equations,"
(with R. A. Harris), Tensor N.S., 29(1975), 277-282.
-
"The Theory of the Lanczos Spinor," Annali di Matematica
Pura ed Applicata, Ser. IV, 104(1975), 239-268.
-
"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.
-
"Two Variable Kasner Type Solutions of Einstein's Field Equations,"
(with R. A. Harris), Tensor N.S., 30(1976), 255-258.
-
"A Memoir on the Projective Geometry of Spinors," Annali
di Matematica Pura ed Applicata, Ser. IV, 110(1976), 29-136.
-
"The Theory of Double Bivectors," (with G. L. Wallace), Tensor
N.S., 31(1977), 27-32.
-
"The Invariant Theory of a Non-Linear Graviton," Tensor
N.S., 31(1977), 206-208.
-
"Electromagnetic Theory in General Relativity-V: The Vector
Potential," Tensor N.S., 31(1977), 301-306.
-
"Multivariable Kasner Type Solutions of the Source-Free Einstein
Equations," (with R. A. Harris), Tensor N.S., 32(1978), 39-44.
-
"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.
-
"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.
-
"Sur l'espace-temps de Hauser en relativite générale,"
Comptes
Rendus Acad. Sci. (Paris), Ser. A., 296(1978), 267-268.
-
"A Curious Solution of Einstein's Cosmological Equations"
(with R. A. Harris), Tensor N.S., 32(1978), 170-172.
-
"A Note on the Ruse-Lanczos Identity" (with J. M. Wilkes),
Tensor
N.S., 32(1978), 355-356.
-
"The Projective Geometry of the Weyl Spinor," Accademia
Nazionale dei Lincei, Rendiconti, Classe di Scienze, Fisiche, Matematiche
e Naturali, 66(1979), 22-27.
-
"Electromagnetic Theory in General Relativity-VI: The Poynting
Vector and Zilch Tensor," (with G. L. Wallace), Tensor N.S., 33(1979),
322-328.
-
"A Note on the Theory of Immanants," (with J.D. Thomas),
Rendiconti
del Circolo Matematica di Palermo, Ser. II, 20(1979), 143-150.
-
"Maxwell's Equations and Meray's Theorem," (with J. M. Wilkes)
Tensor
N.S., 34(1980), 58-62.
-
"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.
-
"Group-Theoretic Approach to the Schwarzchild Solution" (with
J. M. Wilkes), American Journal of Physics, 50(1982), 25-27.
-
"The Projective Geometry of the Energy-Momentum Tensor in
General Relativity," Tensor N.S., 36(1982), 61-67.
-
"Type N Twist-Free Hauserlike Gravitational Fields (with
J. M. Wilkes), Tensor N.S., 37(1982), 16-18.
-
"An Investigation of Kruchkovich's Homogeneous Space-Times,"
(with R. A. Harris), Tensor N.S., 37(1982), 85-89.
-
"A Type III Solution with Twist," (with G. C. Debney and
J. M. Wilkes), Tensor N.S., 37(1982), 90-92.
-
"An Operator Derivation of Some Kronecker Delta identities,"
(with J. M. Wilkes), Tensor N.S., 37(1982), 162-164.
-
"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.
-
"An Investigation of the Kaigorodov Space-Times-I," (with
R. A. Harris), Tensor N.S., 36(1982), 233-241.
-
"An Investigation of the Kaigorodov Space-Times-II," (with
R. A. Harris), Tensor N.S., 36(1982), 242-248.
-
"Continuous Groups of the Kasner Space-Times," (with R. A.
Harris), Tensor N.S., 36(1982), 270-274.
-
"Some Comments on Riemann's Contributions to Differential
Geometry," Historia Mathematica, 10 (1983), 84-89.
-
"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.
-
"Generalized Osinovsky Space-Times," (with R. A. Harris),
Tensor
N.S., 40(1983), 49-53.
-
"A Note on the Geometry of Null Congruences," Tensor N.S.
41(1984),
128-131.
-
"A Note on the Theory of Neutrinos in General Relativity,"
Tensor
N.S. 41(1984), 226-231.
-
"A Spin-Coefficient Approach to the Dirac Equation," Tensor
N.S. 42(1985), 9-14.
-
"General Transformation Formulae for Spin-Coefficients,"(with
J. M. Wilkes), Tensor N.S. 42(1985), 35-41.
-
"A Segre Variety Approach to Spinors," Tensor N.S. 42(1985),
79-82.
-
"A Theorem on Rigorously Spherically Symmetric Electromagnetic
Fields," (with J. M. Wilkes), Tensor N.S. 42(1985), 83-85.
-
"Lord Rayleigh and Sir J. J. Thomson," American Journal
of Physics 54 (1986), 202.
-
"The Motion of A Free Asymmetric Top in n Dimensions,"
(with W. H. Julian), Studies in applied Mathematics 75 (1986), 171-178.
-
"An Invariant-Theoretic Approach to the Transition Problem
and the Bel-Petrov Classification, Tensor N.S. 43(1986), 196-201.
-
"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.
-
"Hotine's Conjecture in Differential Geodesy," (with W. Moore),
Bulletin
Géodésique 61 (1987), 209-222.
-
"A Discussion of Two Criteria for Conformal Flatness," (with
W. Moore), Tensor N.S. 44(1987), 90-95.
-
"A Note on the Cayley-Darboux Equation," (with W. Moore),
Tensor
N.S. 45(1987), 202-205.
-
"A Note on Dupin's Theorem and its Generalization," (with
W. Moore), Tensor N.S. 46(1987), 88-90.
-
"A Note on Liouville's Theorem in Conformal Geometry," (with
W. Moore) Tensor N.S. 44(1987), 204-207.
-
"Intrinsic Geodesy," (with A. Marussi) Report No. 390,
Department of Geodetic Science and Surveying, The Ohio State University,
June (1988) 137 pages.
-
"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.
-
"The Tensorial Form of the Cauchy-Riemann Equations," Tensor
N.S. 44(1987), 294-303.
-
"Continuous Groups and Differential Geodesy," Bollettino
di Geodesia e Scienze Affini, anno XLVII (1988), 119-130.
-
"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.
-
"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.
-
"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.
-
"Tensorial Methods in Classical Differential Geometry-I:
Basic Principles," Tensor N.S. 47(1988), 74-82.
-
"Tensorial Methods in Classical Differential Geometry-II:
Basic Surface Tensors," Tensor N.S. 47(1988), 83-92.
-
"Electromagnetic Theory in General Relativity-VII: The Super-Energy
Tensor," (with G. Wallace) Tensor N.S. 47(1988) 179-188.
-
"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.
-
"Topological Foundations of the Marussi-Hotine Approach to
Geodesy," Geophysics Laboratory Research Report GL-TR-89-0277 (1989),
35 pages.
-
"A Mathematical Appreciation of Antonio Marussi's Contributions
to Geodesy," Geophysics Laboratory Research Report GL-TR-89-0309
(1989), 18 pages.
-
"Geodesy-What on Earth?" New Mexico State University College
of Arts and Sciences Research, Fall 1989, 3 pages.
-
"An Essay on the Mathematical Foundations of the Marussi-Hotine
Approach to Geodesy," Bollettino di Geodesia e Scienze Affini, anno
XLIX (1990), 133-179.
-
"The Assertion of Hotine on the Integrability Conditions
for His General (, ø, N) Coordinate System," Manuscripta
Geodaetica 15 (1990), 362-372.
-
"The Hotine Problem in Differential Geodesy," Manuscripta
Geodaetica 15 (1990), 373-382.
-
"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.
-
"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.
-
"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.
-
"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.
-
"Coordinates in Differential Geodesy," Phillips Laboratory
Research Report PL-TR-92- 2072 (1992), 9 pages.
-
"The Mathematical Foundations of the Hotine-Marussi Approach
to Geodesy," Bollettino di Geodesia e Scienze Affini, anno LI (1992),
125-138.
-
"Differential Cartography," Phillips Laboratory Research
Report PL-TR-92-2181 (1992), 10 pages.
-
"The Research Program of SubCommission 4: Differential Geodesy,"
'The Geodesist's Handbook,' Bulletin Géodésique
66 (1992), 168-169.
-
"Subcommission 4: Differential Geometry," Section IV Bulletin
General Theory and Methodology, International Association of Geodesy 1(1993),
22-26.
-
"The Bruns Curvature Equations and Tangential Differentiation
in Differential Geodesy," Bollettino di Geodesia e Scienze Affini, anno
LII (1993), 191-205.
-
"Tensorial Methods in Classical Differential Geometry-III:
Canonical Leg Representations," Tensor N.S. 52(1993), 69-75.
-
"Hotine's (w, ø,
N)
Coordinate System," Phillips Laboratory Research Report, PL-TR-
93-2174 (1993), 23 pages.
-
"Subcommission 4: Differential Geometry," Section IV Bulletin
General Theory and Methodology, International Association of Geodesy 1(1994),
43-46
-
"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.
-
"A Status Report on the Marussi-Hotine Theory of Differential
Geodesy," Bollettino di Geodesia e Scienze Affini, anno LIII (1994),
375-382.
-
"The Differential Geodesy of the Spherical Representation,"
Phillips
Laboratory Research Report, PL-TR-94-2143 (1994), 52 pages.
-
"A Final Report on the Marussi Hypothesis in Differential
Geodesy," Phillips Laboratory Research Report, PL-TR-94-2207 (1994),
28 pages.
-
"Bromwich's Method for Solving the Source-Free Maxwell Equations,"
(with J.M. Wilkes), Tensor N.S. 55 (1994), 192-196.
-
"Tensorial Methods in Classical Differential Geodesy-IV:
Spherical Representation," Tensor N.S. 55 (1994), 202-208.
-
"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.
-
"Subcommission 4: Differential Geometry," Section IV Bulletin
General Theory and Methodology, International Association of Geodesy 1
(1995), 55-63.
-
"A Conjecture on Coordinate Systems in the Marussi-Hotine
Theory of Differential Geodesy," Bollettino di Geodesia e Scienze Affini,
annoLV
(1996), 1-7.
-
"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.
-
"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;
-
"Adventures in Geodesy," Westhafer Award Lecture, New Mexico
State University, April 2, 1996; University Archives Collection of Westhafer
Lectures.
-
"Subcommission 4: Cartography, Geometry, Relativity, Bulletin
1996.2 Special Commisssion #1: Mathematical and Physical Foundations of
Geodesy, International Association of Geodesy, 26-32.
-
"An Essay on the Foundations of Gaussian Differential Geometry
I: Completeness Questions," Bollettino di Geodesia e Scienze Affini,anno
LV (1996), 377-384.
-
"Clyde Tombaugh (1906-1997)" Astronomy & Geophysics
--The Journal of the Royal Astronomical Society 38, No. 2, (April/May
1997), 38.
-
"An Essay on the Foundations of Gaussian Differential Geometry
II: Imbedding Questions," Bollettino di Geodesia e Scienze Affini, anno
LVI (1997), 407-424.
-
"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.
-
"Tensors and Differential Geodesy," Bollettino di Geodesia
e Scienze Affini, anno LVII, (1998), 165-177.
-
"Learning from Charlie" in Memories of Charles Oehring,
published in Blacksburg, Virginia (Virginia Polytechnic Institute and State
University), (1998), 3 pages.
-
Biographical Sketch: "William Bowie (1872-1940)," in Union
Medals: Ameriacan Geophysical Union; electronic publication-
http://www.agu.org/inside/awards/bowie.html (2 frames=2
1/2 pages), posted 1998.
-
Biographical Sketch: "Charles Arthur Whitten (1909-1994),"
in Union Medals: Ameriacan Geophysical Union; electronic publication-
http://www.agu.org/inside/awards/whitten2.html (2 frames=2
1/2 pages), posted 1998.
-
"An Essay on the Foundations of Gaussian Differential Geometry-III
: Sphere Geometry," Bollettino di Geodesia e Scienze Affini, anno
LVII, (1998), 309-321.
-
"Tensorial Methods in Classical Differential Geometry-V:
Invariant Theory and Projective Geometry," Tensor N.S.58 (1997),
1433-148.
-
"Alexander, James Wadell," American National Biography,
(Oxford
University Press, New York, 1999) 1,272-273.
-
"Bartlett, William Holms Chambers," American National
Biography, (Oxford University Press, New York, 1999) 2,283-284
-
"BÔcher,
Maxime," American National Biography, (Oxford University Press,
New York, 1999) 3, 88-89.
-
"Bochner, Salomon," American National Biography, (Oxford
University Press, New York, 1999) 3, 89-90.
-
"Bonner, Tom Wilkerson," American National Biography,
(Oxford
University Press, New York, 1999) 3, 181-182.
-
"Brouwer, Dirk," American National Biography, (Oxford
University Press, New York, 1999) 3, 641-642
-
"Brown, Ernest William," American National Biography,
(Oxford University Press, New York, 1999) 3, 668-669.
-
"Bumstead, Henry Andrews," American National Biography,
(Oxford University Press, New York, 1999) 3, 911.
-
"Byerly, William Elwood," American National Biography,
(Oxford University Press, New York, 1999) 4, 127 -128.
-
"Cajori, Florian," American National Biography, (Oxford
University Press, New York, 1999) 4, 190 -191.
-
"Chandrasekhar, Subrahmanyan," American National Biography,
(Oxford University Press, New York, 1999) 4, 670 -672.
-
"Chauvenet, William," American National Biography,
(Oxford University Press, New York, 1999) 4, 755 -756.
-
"Cole, Frank Nelson," American National Biography,
(Oxford University Press, New York, 1999), 5, 208 -209.
-
"Eisenhart, Luther Pfahler," American National Biography,
(Oxford University Press, New York, 1999) 7, 372 -374.
-
"Evans, Griffith Conrad," American National Biography,
(Oxford University Press, New York, 1999) 7, 606 - 607.
-
"Fermi, Enrico," American National Biography, (Oxford
University Press, New York, 1999) 7, 842 -844.
-
"Fowler, William Alfred," American National Biography,
(Oxford University Press, New York, 1999) 8, 331 -333.
-
"Franck, James," American National Biography, (Oxford
University Press, New York, 1999) 8, 360 -362.
-
"Goudsmit, Samuel Abraham," American National Biography,
(Oxford University Press, New York, 1999) 9, 329 -331.
-
"Gutenberg, Beno," American National Biography, (Oxford
University Press, New York, 1999) 9, 735 -736.
-
"Harish-Chandra," American National Biography, (Oxford
University Press, New York, 1999) 10, 80 -81.
-
"Hill, George William," American National Biography,
(Oxford University Press, New York, 1999) 10, 781 -783.
-
"Hille, Einar," American National Biography, (Oxford
University Press, New York, 1999) 10, 807-808.
-
"Hoffmann, Banesh," American National Biography, (Oxford
University Press, New York, 1999) 10, 948 -950.
-
"Hofstadter, Robert," American National Biography,
(Oxford University Press, New York, 1999) 11, 4 -6.
-
"Johnson, William Woolsey," American National Biography,
(Oxford
University Press, New York, 1999) 12, 145 -146.
-
"Kellogg, Oliver Dimon," American National Biography,
(Oxford
University Press, New York, 1999) 12, 503 -504.
-
"Kemble, Edwin Crawford," American National Biography,
(Oxford University Press, New York, 1999) 12, 540 -542.
-
"Kent, Robert Harrington," American National Biography,
(Oxford University Press, New York, 1999) 12, 601 -602.
-
"Kusch, Polykarp," American National Biography, (Oxford
University Press, New York, 1999) 13, 2 -3.
-
"Laporte, Otto," American National Biography, (Oxford
University Press, New York, 1999) 13, 192 -193.
-
"Lewy, Hans," American National Biography, (Oxford
University Press, New York, 1999) 13, 616 -617.
-
"Loomis, Francis Wheeler," American National Biography,
(Oxford University Press, New York, 1999) 13, 905 -906.
-
"McClintock, Emory," American National Biography,
(Oxford University Press, New York, 1999) 14, 876 -877.
-
"Merrill, George Perkins," American National Biography,
(Oxford University Press, New York, 1999) 15, 359 -360.
-
"Millikan, Clark Blanchard," American National Biography,
(Oxford University Press, New York, 1999) 15, 530 -531.
-
"Minto, Walter," American National Biography, (Oxford
University Press, New York, 1999) 15, 579 -580.
-
"Morley, Frank," American National Biography, (Oxford
University Press, New York, 1999) 15, 875 -876.
-
"Morse, Marston," American National Biography, (Oxford
University Press, New York, 1999) 15, 936 -937.
-
"Murnaghan, Francis Dominic," American National Biography,
(Oxford University Press, New York, 1999) 16, 124 -125.
-
"Osgood, William Fogg," American National Biography,
(Oxford University Press, New York, 1999) 16, 801 -802.
-
"Page, Leigh," American National Biography, (Oxford
University Press, New York, 1999) 16, 903 -904.
-
"Peirce, James Mills," American National Biography,
(Oxford University Press, New York, 1999) 17, 255 -256.
-
"Polya, George," American National Biography, (Oxford
University Press, New York, 1999) 17, 645 -646.
-
"Robinson, Julia Bowman," American National Biography,
(Oxford
University Press, New York, 1999) 18, 668 -669.
-
"Robertson, Howard Percy," American National Biography,
(Oxford University Press, New York, 1999) 18, 621 -622.
-
"Schwinger, Julian Seymour," American National Biography,
(Oxford University Press, New York, 1999) 19, 477 -479.
-
"Steenrod, Norman Earl," American National Biography,
(Oxford University Press, New York, 1999) 20, 609 -610.
-
"Steinmetz, Charles Proteus," American National Biography,
(Oxford University Press, New York, 1999) 20, 643 -644.
-
"Stone, Marshall Harvey," American National Biography, (Oxford
University Press, New York, 1999) 20, 864 -865.
-
"Stone, Ormand," American National Biography, (Oxford
University Press, New York, 1999) 20, 867 -868.
-
"Stringham, Irving," American National Biography,
(Oxford University Press, New York, 1999) 21, 29 -30.
-
"Szilard, Leo," American National Biography, (Oxford
University Press, New York, 1999) 21, 238 -240.
-
"Taussky-Todd, Olga," American National Biography,
(Oxford University Press, New York, 1999) 21, 346 -348.
-
"Thomas, Tracy Yerkes," American National Biography,
(Oxford University Press, New York, 1999) 21, 529 -530.
-
"Ulam, Stanislaw Marcin," American National Biography,
(Oxford University Press, New York, 1999) 22, 93 -95.
-
"Veblen, Oswald," American National Biography, (Oxford
University Press, New York, 1999) 22, 307 -308.
-
"von Neumann, John," American National Biography,
(Oxford University Press, New York, 1999) 22, 399 -401.
-
"Walsh, Joseph Leonard," American National Biography,
(Oxford University Press, New York, 1999) 22, 571 -572.
-
"Webster, Arthur Gordan," American National Biography,
(Oxford University Press, New York, 1999) 22, 863 -864.
-
"Weyl, Hermann," American National Biography, (Oxford
University Press, New York, 1999) 23, 101 -103.
-
"Whitney, Hassler," American National Biography, (Oxford
University Press, New York, 1999) 23, 303 -304.
-
"Wigner, Eugene Paul," American National Biography,
(Oxford University Press, New York, 1999) 23, 361 -363
-
"Wilder, Raymond Louis," American National Biography,
(Oxford University Press, New York, 1999) 23, 379 -380.
-
"Wright, Arthur Williams," American National Biography,
(Oxford University Press, New York, 1999) 24, 2 -3.
-
"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.
-
"Commentary on Lanczos's 'The Splitting of the Riemannian
Tensor,' " Cornelius Lanczos: Collected Published Papers with Commentaries,"
North Carolina State University and the Eötvös
Physical Society, (1999) 2, 1923-1925.
-
"Commentary on Two Papers (1962a) and (1962b) by Lanczos,"
Cornelius
Lanczos: Collected Published Papers with Commentaries,"
North Carolina State University and the Eötvös
Physical Society, (1999) 2, 1925.
-
"Hotine's Transformation Formulas Revisited," Bollettino
di Geodesia e Scienze Affini, anno LVIII, (1999), 275 -288.
-
"An Essay on the Foundations of Gaussian Differential
Geometry-IV : Parametric Systems," Bollettino di Geodesia e Scienze
Affini, anno LVIII, (1999), 325-352.
-
"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.
-
"An Essay on the Foundations of Gaussian Differential
Geometry-V : Operator Methods," Bollettino di Geodesia e Scienze Affini,
anno LIX (2000), 351-368.
-
"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.
- "Generalization of a Pair of Algebraic Symmetry Conditions
in Tensor Analysis," Tensor N.S. 61 (1999), 41-46.
- "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.
- "George David Birkhoff and John von Neuman: A Question of Priority and the Mean Ergodic Theorem: 1931-1932, Historia Mathematica, 29 (2002), 138-156.
- "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.
- "The Grassmann Identity and the Generalized Kronecker
Deltas,"
Tensor N.S. 64 (2003), 2005-210.
- "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.
- "The Schouten-Struik Theorem in Riemmanian Geometry," Tensor
N.S. 65 (2004), 109-111.
- "Gaussian Differenital Geometry and Differential Geodesy,"
V Hotine-Marussi Symposium in Mathematical Geodesy, Matera 17-21 June 2002,
Berlin: Springer Verlag, (2004), in press.
- "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.
- "Dirac and Projective Geometry," The Eagle 2006, 37-41.
- "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.
Return to top of page
BOOKS
-
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.
-
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.
Return to top of page
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)
Return to top of page
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).
Return to top of page
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.
Return to top of page
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];
-------------- o ---------------
(1994- 1999) Geodesy Representative: History of Geophysics
Committee, American Geophysical Union, ........................................................[S.
Weiler, U.S.A.];
-------------- o ---------------
(1995-1999) Contributor and Consultant: American National
Biography, Oxford University Press, .........................................................[M.
Van Atta, U.S.A.].
Return to top of page
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).
Return to top of page
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)
Return to top of page
LANGUAGES (TECHNICAL READING)
Dutch
French
German
Italian
Latin
Portuguese
Russian
Return to top of page, Return
to Faculty Page, Return to
Mathematics Homepage
Revised on
Friday, February 16, 2007
math@nmsu.edu