CURRICULUM VITAE
Nikos A. Salingaros
Professor of Mathematics
Consultant on Architecture and UrbanismDivision of Mathematics
The University of Texas at San Antonio
6900 North Loop 1604 West
San Antonio, Texas 78249Tel: 210 458 5546
Fax: 210 458 4439e-mail: salingar@sphere.math.utsa.edu
Education
Ph. D. Physics 1978, State University of New York at Stony Brook
M. A. Physics 1974, State University of New York at Stony Brook
B. Sc. Physics Cum Laude 1971, University of Miami, Coral GablesLanguages
English, French, Greek, Italian, and Spanish.
Professional Experience
University of Texas at San Antonio: Assistant Professor, 1983-1987; Associate Professor (tenured), 1987-1995; Professor, 1995-present
Superconducting Super Collider Laboratory, Visiting Scientist, 1991-1993
University of Texas at Arlington, Adjunct Professor, 1991-1993
University of North Texas, Denton, Adjunct Professor, 1991-1993
Southern Methodist University, Adjunct Associate Professor, 1991-1993
University of Texas at Austin, Visiting Scholar, 1989-1991
University of Rochester, Visiting Associate Professor, 1988-1989
University of Iowa, Visiting Assistant Professor, 1981-1983
University of Crete, Greece, Visiting Assistant Professor, 1980-1981
University of Massachusetts at Boston, Assistant Professor, 1979-1980Areas of Specialty:
Mathematics applied to architecture and urbanism, complexity, physics, and engineering; algebraic structures; thermonuclear fusion; superconducting magnets
Grants
Alfred P. Sloan Foundation Grant to study the Scientific Laws of Architecture, 1997-2000; extended to 2001
Consulting
Consultant for the Urban Land Institute, 1025 Thomas Jefferson Street, N.W., Suite 500 West, Washington, D.C. 20007.
Division of Plastic Surgery, The University of Texas Health Science Center at San Antonio, 7703 Floyd Curl Drive, San Antonio, Texas 78284. Dr. Jaime R. Garza, Head. Worked with a team of surgeons to develop a quantitative model for evaluating the success of jaw reconstruction surgery, and trained medical students to use the model.
Valley Research Corporation, 8868 Research Boulevard, Suite 103, Austin, Texas 78758. Dr. Rodolfo Carrera, President. Worked on the conceptual foundations of magnetic fields that are capable of confining thermonuclear plasmas.
Advanced Laser and Fusion Technology, Inc., 189 Deveault Street, Unit No. 7, Hull P. Q., J8Z 1S7, CANADA. Dr. Emilio Panarella, President. Evaluated and compared different magnetic geometries that promise to help solve the fusion confinement problem.
Honors and Awards
Senior Member of the Institute of Electrical and Electronics Engineers
Listed in Who's Who in Science and Engineering
Listed in Who's Who in Frontiers of Science and Technology
Listed in American Men and Women of ScienceProfessional Service
Member of the Steering Committee, International Symposium on Current Trends in Fusion Research, 1993-2000
Member of the IEEE Energy Policy Committee concerning the fiscal year 1993 U. S. Department of Energy budget request for fusion. Report presented to the Energy Subcommittee of the U. S. House of Representatives Committee on Science, Space, and Technology on February 20, 1992
Grant Reviewer for the National Science Foundation
Associate Editor of the Hadronic Journal, 1983-1985
Associate Editor of Physics Essays, 1995-2000
Associate Editor of Online Planning Journal, since 2000Reviewer for:
Acta Applicandae Mathematicae, Advances in Applied Mathematics, American Journal of Physics, American Institute of Physics, Applied Physics Letters, DATUTOP Journal of Architectural Theory, Environment and Planning B, Foundations of Physics, Fusion Technology, Hadronic Journal, IEEE Transactions on Plasma Science, Journal of Mathematical Physics, Journal of Urban Design, Kluwer-Reidel Academic Publishers, Physical Review A, Physical Review Letters, Physics Essays, Physics Letters A, Plasma Physics and Controlled Fusion, Resource for Urban Design Information
Bibliography: over 70 refereed publications.
1. (N. Salingaros and M. Dresden) "Properties of an Associative Algebra of Tensor Fields. Duality and Dirac Identities", Physical Review Letters 43 (1979), 1-4.
2. "Realization and Classification of the Universal Clifford Algebras as Associative Lie-Admissible Algebras", Hadronic Journal 3 (1979), 339-389.
3. "Realization, Extension, and Classification of Certain Physically Important Groups and Algebras", Journal of Mathematical Physics 22 (1981), 226-232.
4. "Clifford, Dirac, and Majorana Algebras, and Their Representations", Hadronic Journal 4 (1981), 949-980.
5. "Electromagnetism and the Holomorphic Properties of Spacetime", Journal of Mathematical Physics 22 (1981), 1919-1925.
6. (Y. Ilamed and N. Salingaros) "Algebras With Three Anticommuting Elements. I. Spinors and Quaternions", Journal of Mathematical Physics 22 (1981), 2091-2095.
7. "Algebras With Three Anticommuting Elements. II. Two Algebras Over a Singular Field", Journal of Mathematical Physics 22 (1981), 2096-2100.
8. "On the Classification of Clifford Algebras and Their Relation to Spinors in n Dimensions", Journal of Mathematical Physics 23 (1982), 1-7.
9. (N. Salingaros and M. Dresden) "Physical Algebras in Four Dimensions. I. The Clifford Algebra in Minkowski Spacetime", Advances in Applied Mathematics 4 (1983), 1-30.
10. "Physical Algebras in Four Dimensions. II. The Majorana Algebra", Advances in Applied Mathematics 4 (1983), 31-38.
11. "Particle in an External Electromagnetic Field", Physical Review D28 (1983), 2473-2476.
12. "Relativistic Motion of a Charged Particle, the Lorentz Group, and the Thomas Precession", Journal of Mathematical Physics 25 (1984), 706-716.
13. "The Relationship Between Finite Groups and Clifford Algebras", Journal of Mathematical Physics 25 (1984), 738-742.
14. (J. Froelich and N. Salingaros) "The Exponential Mapping in Clifford Algebras", Journal of Mathematical Physics 25 (1984), 2347-2350.
15. (N. Salingaros and Y. Ilamed) "Algebraic Field Descriptions in Three-Dimensional Euclidean Space", Foundations of Physics 14 (1984), 777-797.
16. (R. Ablamowicz and N. Salingaros) "On the Relationship Between Twistors and Clifford Algebras", Letters in Mathematical Physics 9 (1985), 149-155.
17. "The Gyrofrequency of a Charged Particle in a Constant Electromagnetic Field", Nuovo Cimento B86 (1985), 1-16.
18. "Invariants of the Electromagnetic Field and Electromagnetic Waves", American Journal of Physics 53 (1985), 361-363.
19. "Particle in an External Electromagnetic Field. II. The Exact Velocity in a Constant and Uniform Field", Physical Review D31 (1985), 3150-3156.
20. "Some Remarks on the Algebra of Eddington's E-numbers", Foundations of Physics 15 (1985), 683-691.
21. (N. Salingaros and G. P. Wene) "The Clifford Algebra of Differential Forms", Acta Applicandae Mathematicae 4 (1985), 271-292.
22. "The Gyrofrequency of a Charged Particle in a Constant Electromagnetic Field. II. The General Result", Nuovo Cimento B90 (1985), 232-253.
23. "The Lorentz Group and the Thomas Precession. II. Exact Results for the Product of Two Boosts", Journal of Mathematical Physics 27 (1986), 157-162.
24. "On Solutions of the Equation Curl a = k a", Journal of Physics A: Mathematical and General 19 (1986), L101-L104.
25. "On Solutions of the Equation Curl a = k a. II. The Magnetic Force-Free Model", Journal of Physics A: Mathematical and General 19 (1986), L705-708.
26. "Clifford Algebras and the Vee Product", in: Proceedings of the Fourteenth International Colloquium on Group-Theoretical Methods in Physics, Y. M. Cho, editor (World Scientific, Singapore, 1986), pp. 257-260.
27. "Clifford Algebraic Symmetries in Physics", in: Symmetries in Science II, B. Gruber and R. Lenczewski, editors (Plenum, New York, 1986), pp. 467-470.
28. "Duality Rotations and Relativistic Charged-Particle Motions", American Journal of Physics 55 (1987), 352-356.
29. "Electromagnetism and the Holomorphic Properties of Spacetime", in: Proceedings of the Fifteenth International Conference on Differential Geometric Methods in Theoretical Physics, H. D. Doebner and J. D. Hennig, editors (World Scientific, Singapore, 1987), pp. 370-376.
30. "An Alternative Description of the Reversed-Field Toroidal Plasma Pinch, and Prediction of the Critical Pinch Parameter", Hadronic Journal 10 (1987), 109-116.
31. "Which are the Fundamental Magnetic Field Configurations in Nature?", International Journal of Modern Physics B1 (1987), 1329-1349.
32. "An Amended Magnetohydrodynamic Equation Which Predicts Field-Aligned Current Sheets", Astrophysics and Space Science 137 (1987), 385-395.
33. "Magnetic Force-Free Configurations for Thermonuclear Fusion", Physics Essays 1 (1988), 92-101.
34. "Further Developments in the Theory of the Spheromak", in: Proceedings of the Ninth U. S. Compact Toroid Symposium, Seattle, 1989. Edited by A. L. Hoffman and L. C. Steinhauer (Spectra Technology, Bellevue, Washington, 1989), pp. 37-40.
35. "Origin of the Magnetic Confinement Force in the Homogeneous Z-pinch", IEEE Transactions on Plasma Science 17 (1989), 854-858.
36. "The Spheromak as an Axisymmetric Spherical Dynamo: Clarification of an Old Ambiguity", Modern Physics Letters B3 (1989), 1285-1292.
37. "Lorentz Force and Magnetic Stress in Force-Free Configurations", Applied Physics Letters 56 (1990), 617-619.
38. (D. P. Singh, M. A. Harith, V. Palleschi, G. Tropiano, M. Vaselli, N. Salingaros, and E. Panarella) "The Spherical Pinch: Generalized Scaling Laws and Experimental Verification of the Stability of Imploding Shock Waves in Spherical Geometry", Laser and Particle Beams 8 (1990), 253-263.
39. "Optimal Current Distribution for Energy Storage in Superconducting Magnets", Journal of Applied Physics 69 (1991), 531-533.
40. "Magnetohydrostatic Equilibria and Force-Free States", Physica Scripta 43 (1991), 316-322.
41. "Fiber Theory: Evolution and Disruption in the Gaseous and Dense Z-pinches", Physica Scripta 43 (1991), 416-422.
42. (N. Salingaros and R. Carrera) "Electromechanical Description of Tokamak Plasma Operation by Fiber Theory", Fusion Technology 19 (1991), 1302-1306.
43. "A Simplified Approach to Pinch Equilibrium", Plasma Physics and Controlled Fusion 34 (1992), 191-202.
44. "Force-free Plasma Currents Driven by Electromagnetic Oscillations with E parallel to B", Physical Review A45 (1992), 8811-8815.
45. "General Construction of Force-Free Current Filaments", Physical Review A45 (1992), 8816-8820.
46. "Fiber Theory and Cosmic Plasmas", IEEE Transactions on Plasma Science 20 (1992), 893-897.
47. (M. A. Sweeney, I. Alexeff, I. Brown, J. Glowienka, S. Gold, J. Maenchen, J. R. Roth, N. Salingaros, L. Steinhauer, and L. Sugiyama) "Statement by the Energy Policy Committee, Institute of Electrical and Electronics Engineers, on the FY-1993 Department of Energy Budget Request for Fusion Energy", IEEE Nuclear and Plasma Sciences Society News, No. 2, June 1992, 6-9. Reprinted in: Fusion Technology 23 (1993), 131-134; and in: Spherical Plasma Configuration Group Newsletter 2 No. 1 (1993), 37.
48. (N. Salingaros and R. Carrera) "Oscillation and Reconnection of Plasma Fibers in a Description of Tokamak Phenomena", Fusion Technology 23 (1993), 257-266.
49. (P. Lorrain and N. Salingaros) "Local Currents in Magnetic Flux Tubes and Flux Ropes", American Journal of Physics 61 (1993), 811-817.
50. "A Classification of Magnetohydrodynamic Generators with Cylindrical Symmetry", Europhysics Letters 24 (1993), 467-472.
51. "A Description of Self-exciting Dynamos in Cartesian and Cylindrical Geometries", Physics Letters A 185 (1994), 201-205.
52. "A Critical Comparison Between Magnetic and Inertial Confinement Schemes and their Geometries", Fusion Technology 27 (1994), 230-236.
53. "In Defence of Alexander", HALI: The International Magazine of Antique Carpet and Textile Art 78 (1995), 67-69.
54a. "The Laws of Architecture from a Physicist's Perspective", Physics Essays 8 (1995), 638-643.
54b. "Las Leyes de la Arquitectura desde la Perspectiva de un Físico", Spanish translation of (54a), El hombre y la Máquina, No 16, Abril de 2001, páginas 12-23.
55. (B. Coppi, C. Deutsch, E. Panarella, F. Pegoraro, R. F. Post, H. U. Rahman, N. Rostoker, J. R. Roth, N. A. Salingaros, G. Velarde, C. Yamanaka) "Report on the International Symposium Evaluation of Current Trends in Fusion Research", Journal of Fusion Energy 14 (1995), September Issue (pages 281-327).
56. (F. Giammanco, E. Panarella, N. A. Salingaros, D. P. Singh, M. Vaselli) "Spherical Pinch Research: Historical Background, Achievements, and Projections", in: Proceedings of the First International Workshop on the Evaluation of Current Trends in Fusion Research, Washington, DC 1994, edited by E. Panarella (Plenum Press, New York, 1997), pages 67-118.
57. "Life and Complexity in Architecture From a Thermodynamic Analogy", Physics Essays 10 (1997), 165-173.
58a. "Mathematical Theory of the Urban Web", RUDI -- Resource for Urban Design Information, Oxford, England, published electronically on July 1997 at <http://rudi.herts.ac.uk/rudiments/urbanweb/urbanweb.htm>, approximately 12 pages.
58b. "Theory of the Urban Web", Journal of Urban Design 3 (1998) 53-71. Revised version of (58a).
58c. "Kaupunki Verkostona", Finnish tranlation of (58a), Tampere University of Technology, Institute of Urban Planning publication No. 33 (2000).
59. "A Scientific Basis for Creating Architectural Forms", Journal of Architectural and Planning Research 15 (1998), 283-293.
60. "Urban Space and its Information Field", Journal of Urban Design 4 (1999), 29-49.
61. "Architecture, Patterns, and Mathematics", Nexus Network Journal 1 (1999), 75-85.
62. (N. A. Salingaros and B. J. West) "A Universal Rule for the Distribution of Sizes", Environment and Planning B 26 (1999), 909-923.
63. "The Life of a Carpet: An Application of the Alexander Rules", Oriental Carpet and Textile Studies V, edited by M. Eiland, Jr. and R. Pinner (International Conference on Oriental Carpets, Danville, California, 1999), pages 189-196.
64. (T. M. Mikiten, N. A. Salingaros and H-S. Yu) "Pavements as Embodiments of Meaning for a Fractal Mind", Nexus Network Journal 2 (2000), 63-74.
65. (A. Klinger and N. A. Salingaros) "A Pattern Measure", Environment and Planning B 27 (2000), 537-547.
66. "The Structure of Pattern Languages", Architectural Research Quarterly 4 (2000), 149-161.
67. "Hierarchical Cooperation in Architecture, and the Mathematical Necessity for Ornament", Journal of Architectural and Planning Research 17 (2000), 221-235.
68. "Complexity and Urban Coherence", Journal of Urban Design 5 (2000), 291-316.
69a. (Victor Padrón and Nikos Salingaros) "Ecology and the Fractal Mind in the New Architecture: A Conversation", published electronically by RUDI -- Resource for Urban Design Information (2000), approximately 12 pages.
69b. "Fractals in the New Architecture", published electronically by Archimagazine <www.archimagazine.com> (2001), approximately 6 pages. Portions of (69a) published as an article with new illustrations.
69c. "I Frattali Nella Nuova Architettura", Italian translation of (69b) published electronically by Archimagazine <www.archimagazine.com> (2001) <http://www.archimagazine.com/afrattai.htm>, approximately 6 pages.
70. (N. A. Salingaros and D. M. Tejada) "Modularity and the Number of Design Choices", published electronically in Nexus Network Journal 3 Number 2 (2001) <http://www.nexusjournal.com/Sali-Teja.html>, approximately 12 pages.
71a. "Remarks on a City's Composition", published electronically by RUDI -- Resource for Urban Design Information (2001) <http://www2.rudi.net/bookshelf/classics/city/remarkscity.html>, approximately 14 pages.
71b. "Kaupunki ei todellakaan ole puu", Finnish translation of the first half of (70a), Yhteiskuntasuunnittelu -- The Finnish Journal of Urban Studies 39 (2001), pages 68-76.
72a. (J. H. Kunstler and N. A. Salingaros ) "The End of Tall Buildings", pubished electronically by PLANetizen (September 2001) <http://www.planetizen.com/oped/item.php?id=30>, approximately 5 pages.
72b. "La fin des "bâtiments-tours", French translation of (72a), published electronically by Archicool (October 2001) <http://www.archicool.com/tribune/usa.shtml>, approximately 5 pages.
73a. Nikos Salingaros interviews Léon Krier: "The Future Of Cities: The Absurdity of Modernism", published electronically on PLANetizen (November 2001) <http://www.planetizen.com/oped/item.php?id=35>, approximately 10 pages. Reprinted in Urban Land Magazine, January 2002.
73b. "Il Futuro delle Città: l'Assurdità del Modernismo", Archimagazine <www.archimagazine.com> (2002), approximately 10 pages. Italian translation of (73a).
74. (N. A. Salingaros and T. M. Mikiten) "Darwinian Processes and Memes in Architecture: A Memetic Theory of Modernism", Journal of Memetics -- Evolutionary Models of Information Transmission 6 (2001) <http://www.cpm.mmu.ac.uk/jom-emit/2002/vol6/salingaros_na&mitkiten_tm.html.html>, approximately 18 pages.
75a. (Michael W. Mehaffy and Nikos A. Salingaros) "Geometrical Fundamentalism", Plan Net Online Architectural Resources <plannet.com> (January 2002), approximately 15 pages.
75b. (Michael W. Mehaffy and Nikos A. Salingaros) "Il Fondamentalismo Geometrico", Professione Architetto <www.professionearchitetto.it> (2002), approximately 15 pages. Italian translation of (75a).
76. (Michael W. Mehaffy and Nikos A. Salingaros) "The End of the Modern World", PLANetizen <www.planetizen.com> (January 2002), approximately 3 pages. Reprinted in Open Democracy <www.opendemocracy.org>, March 2002.
Has given over 130 Talks and Invited Presentations
1. "Algebraic Derivation of Trace Identities in Quantum Electrodynamics", seminar, Physics Department, University of Rochester, January 1979.
2. "Derivation of Trace Identities in Scattering Theory without Matrices", seminar, Physics Department, Oxford University, England, June 1979.
3. "Classification of Clifford and Jordan Algebras", Physics Colloquium, University of Dortmund, Germany, July 1979.
4. "Realization and Classification of the Universal Clifford Algebras as Associative Lie-Admissible Algebras", invited talk at the Second Workshop on Lie-Admissible Formulations, Harvard University, 1-8 August 1979.
5. "Construction and Classification of the Clifford Algebras", Physics Colloquium, University of Massachusetts at Boston, August 1979.
6. "Electromagnetism as an Extension of Holomorphy to Four-dimensional Spacetime", Mathematics Colloquium, University of Delaware, January 1980.
7. "Spacetime Implies Maxwell's Equations", contributed talk, American Physical Society New England Conference, University of Rhode Island, 19 April 1980.
8. "Spinors and the Intrinsic Geometry of Three-Dimensional Space", Society of Physics Students lecture, University of Massachusetts at Boston, April 1980.
9. "The Geometry of Clifford Algebras", seminar, Physics department, Case-Western-Reserve University, Cleveland, June 1980.
10. "Clifford, Dirac, and Majorana algebras, and their Representations", invited talk at the Third Workshop on Lie-Admissible Formulations, University of Massachusetts at Boston, 4-9 August 1980.
11. "A Matrix-free Method for Quantum Electrodynamics", Colloquium, Demokritos Nuclear Research Center, Athens, Greece, February 1981.
12. "Applications of Clifford Algebras to Theoretical Physics", Physics Colloquium, University of Crete, Iraklion, Greece, 7 April 1981.
13. "On the Classification of Clifford Algebras and Spinors", Mathematics Colloquium, University of Crete, Iraklion, Greece, April 1981.
14. "Applications of the Methodology of Theoretical Physics to Architectural Design: The Pattern Language of Christopher Alexander", invited talk at the International Conference on Architecture, University of Thessalonike, Greece, 4 June 1981.
15. "On an Extension of the Theorems of Frobenius and Hurwitz", invited talk at the Fourth Workshop on Lie-Admissible Formulations, Institute for Basic Research, Cambridge, Massachusetts, August 1981.
16. "Some Recent Applications of Clifford Algebras to Theoretical Physics", Physics Colloquium, Washington University, St. Louis, 14 December 1981.
17. "A History of Clifford Algebras, and their Application in Physics", Physics Colloquium, University of Miami, Coral Gables, 23 March 1982.
18. "Applications of Clifford Algebras in Physics", Physics Colloquium, University of Iowa, 5 April 1982.
19. "The Geometric Structure of Clifford algebras, and their Relation to Spinors", Mathematics Colloquium, Iowa State University, Ames, 13 April 1982.
20. "Clifford algebras as an Extension of the Frobenius and Hurwitz Theorems", Mathematics Colloquium, University of Iowa, Iowa City, 13 April 1982.
21. "A History of Clifford Algebras, and their Application in Physics", Physics Colloquium, University of Illinois at Chicago Circle, 21 April 1982.
22. "An Introduction to Gauge Theories", three invited seminars, Mathematics Department, University of Iowa, 24 June-1 July 1982.
23. "Classification of Clifford Algebras", contributed talk, American Physical Society Meeting, University of Maryland, November 1982.
24. "Applications of Clifford Algebras in Theoretical Physics", opening talk, Joint Meeting of the Mathematical Association of America and the Society for Industrial and Applied Mathematics, Iowa State University, April 22-23, 1983.
25. "A New Solution for the Motion of a Charged Particle in a Constant, Homogeneous Electromagnetic Field", Space Physics Seminar, University of Iowa, 4 May 1983.
26. "Construction and Applications of Clifford Algebras", Mathematics Colloquium, University of Texas at San Antonio, 14 June 1983.
27. "Relativistic Motion of a Charged Particle, the Lorentz Group, and the Thomas Precession", contributed talk at the VIIth International Congress on Mathematical Physics, University of Colorado, Boulder, 1-10 August 1983.
28. "Differential Forms and Clifford Algebras", contributed talk at the VIIth International Congress on Mathematical Physics, University of Colorado, Boulder, 1-10 August 1983.
29. "A Solution of a Class of Differential Equations in Clifford Algebras", invited talk at the VIIth Congress of Balkan Mathematicians, Athens, Greece, 19-23 December 1983.
30. "Motion of a Charged Particle in an Electromagnetic Field", seminar, Politecnico di Torino, Italy, 12 January 1984.
31. "Particle in an External Electromagnetic Field", contributed talk, American Physical Society Annual Meeting, San Antonio, 30 January-2 February 1984.
32. "Invariants of the Electromagnetic Field and Electromagnetic Waves", Mathematics Seminar, University of Texas an San Antonio, 13 April 1984.
33. "Motion of a Charged Particle in an Electromagnetic Field", contributed paper, XIIIth International Colloquium on Group Theoretical Methods in Physics, University of Maryland, 21-25 May 1984.
34. "Some Applications of Clifford Algebras", Mathematics Colloquium, Trinity University, San Antonio, 4 September 1984.
35. "Applications of Clifford Algebras to Physics", Physics Colloquium, University of California at Davis, 7 January 1985.
36. "The Exponential Mapping in Clifford Algebras", contributed talk, 91st. American Mathematical Society Annual Meeting, Anaheim, 7-13 January 1985.
37. "Inequivalence of the + + +- Metric to the ---+ Metric", Mathematics Seminar, University of Texas at San Antonio, 15 February 1985.
38. "The Gyration of a Charged Particle", contributed talk, American Physical Society Meeting, Texas Section, Rice University, Houston, 8-9 March 1985.
39. "About Clifford and Grassmann Algebras", seminar, Department of Theoretical Physics, University of Salerno, Italy, 22 May 1985.
40. "Review of Clifford Algebras in Physics", Physics Colloquium, University of Florence, Italy, 3 June 1985.
41. "Clifford Algebras and Differential Forms", seminar, Institute of Mathematics, University of Genova, Italy, 10 June 1985.
42. "Clifford Algebras and the Vee Product", seminar, National Institute for Nuclear Physics, University of Torino, Italy, 12 June 1985.
43. "Some Applications of Clifford Algebras", invited talk given at the 14th. International Colloquium on Group Theoretical Methods in Physics, Seoul, Korea, 26-30 August 1985.
44. "Rotation Correction to Combined Lorentz Boosts", contributed talk, American Physical Society meeting, Texas Section, Texas A&M University, 8-9 November 1985.
45. "Magnetic Fields in Physics and Astrophysics", Society of Physics Students Lecture, University of Texas at San Antonio, 3 December 1985.
46. "On Solutions of the Equation Curl a = ka", contributed talk at the 92nd American Mathematical Society Annual Meeting, New Orleans, 5-11 January 1986.
47. "Clifford Algebraic Symmetries in Physics", invited talk, Symmetries in Science II, Southern Illinois University, Carbondale, 24-26 March 1986.
48. "On Force-Free Magnetic Fields", contributed talk, Symmetries in Science II, Southern Illinois University, Carbondale, 24-26 March 1986.
49. "Motion of Electrically Charged Particles in a Magnetic Field", Society of Physics Students Lecture, University of Texas at San Antonio, 29 April 1986.
50. "Some Recent Applications of Clifford Algebras", Relativity Seminar, Enrico Fermi Institute, University of Chicago, 20 June 1986.
51. "Existence of Force-Free Magnetic Fields", contributed talk at the 168th Meeting of the American Astronomical Society, Iowa State University, Ames, 22-26 June 1986.
52. "Quantum Mechanical Projection Operators in the Clifford Algebra", Theoretical Physics Seminar, University of Dortmund, Germany, 21 July 1986.
53 "Electromagnetism and the Holomorphic Properties of Spacetime", invited talk, XVth International Conference on Differential Geometric Methods in Theoretical Physics, University of Clausthal, Germany, 28 July-1 August 1986.
54. "Clifford Algebras and their Role in Mathematics, Physics, and Technology", Relativity Seminar, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, 17 November 1986.
55. "Energy of Static Magnetic Field Configurations", invited talk, Special Section on Mathematical Physics, 93rd Annual American Mathematical Society Meeting, San Antonio, Texas, 21-24 January 1987.
56. "Electromagnetic Waves as Duality Rotations", Clifford Algebra Seminar, University of Namur, Belgium, 25 May 1987.
57. "Some Physical Applications of Clifford Algebras", invited talk, Institute for Analysis, University of Ghent, Belgium, 26 May 1987.
58. "An Alternative Derivation of the Critical Toroidal Pinch Parameter", contributed talk, Division of Plasma Physics of the American Physical Society, 29th Annual Meeting, San Diego, California, 2-6 November 1987.
59. "Flux Conversion and the Taylor State", contributed paper, U. S. -Japan Workshop on Plasma Turbulence, University of Texas at Austin, 7-10 December 1987.
60. "Force-Free Magnetic Configurations for Thermonuclear Fusion", Physics Colloquium, University of North Texas, Denton, 16 February 1988.
61. "The Role of Clifford Algebras in Physics: A Broad Perspective", Theoretical Physics Seminar, University of North Texas, Denton, 17 February 1988.
62. "Clifford Algebras in Quantum Mechanics", Quantum Logics Seminar, Georgia Institute of Technology, Atlanta, Georgia, 27 April 1988.
63. "Minimum-Energy Magnetic States in the Spheromak", Plasma Physics Seminar, Princeton Plasma Physics Laboratory, Princeton, New Jersey, 19 May 1988.
64. "Magnetic Force-Free Configurations", contributed talk, 15th. IEEE International Conference on Plasma Science, Seattle, Washington, 6-8 June 1988.
65. "General Description of Clifford Algebras", Theoretical Physics Seminar, University of Rochester, 9 September 1988.
66. "Plasma Strings in Astrophysics", Astrophysics Seminar, University of Rochester, 26 September 1988.
67. "Revised Stability of a Z-Pinch", seminar, Laboratory for Laser Energetics, University of Rochester, 26 October 1988.
68. "Internally Force-Free Current Surfaces", contributed talk, 30th. Annual Meeting of the American Physical Society, Division of Plasma Physics, Hollywood, Florida, 31 October-4 November 1988.
69. "Improvement on the Approximations of the Scaling Laws for Spherical Pinch Experiments", contributed paper, 30th. Annual Meeting of the American Physical Society, Division of Plasma Physics, Hollywood, Florida, 31 October-4 November 1988 (presented by E. Panarella).
70. "Revision of the Theory of Force-Free Minimum-Energy States", seminar, Institute of Plasma and Fusion Research, University of California at Los Angeles, 8 March 1989.
71. "Further Developments in the Theory of the Spheromak", contributed talk, 9th U. S. Compact Toroid Symposium, Seattle, Washington, 14-15 March 1989.
72. "Clifford Algebras, Differential Forms, and Magnetic Fields", Mathematics Colloquium, Rochester Institute of Technology, 14 April 1989.
73. "MILO: An Algebraic Manipulation Program for the MACINTOSH Computer", invited talk at the IVth. Topical Conference on the Applications of Computers to Teaching, University of Texas at San Antonio, 21 July 1989.
74. "New Results in Magnetohydrostatics: Ideal Plasma as a High-Temperature Superconductor", contributed talk, 31st. Annual Meeting of the American Physical Society, Division of Plasma Physics, Anaheim, California, 13-17 November 1989.
75. Panelist on: "Let's Bridge the Gap: Addressing the Crisis in Mathematics Education", National Science Foundation Topical Conference, San Antonio, Texas, 2 December 1989.
76. "The Spheromak as an Axisymmetric Spherical Dynamo", contributed paper at the 1990 IEEE International Conference on Plasma Science, Oakland, California, 21-23 May 1990.
77. "The Theory of Fibers: A New Description of Plasmas", seminar, Spectra Technology, Bellevue, Washington, 25 June 1990.
78. "Electromechanical Description of Tokamak Plasma Operation by Fiber Theory", contributed paper, Ninth Topical Meeting on the Technology of Fusion Energy, Oak Brook, Illinois, 7-11 October 1990 (presented by R. Carrera).
79. "Electromagnetism and Clifford Algebras", Graduate Electrical Engineering Seminar, University of Texas at San Antonio, 8 November 1990.
80. "Theory of Fibers: A New Description of Plasmas", contributed talk, 32nd. Annual Meeting of the Division of Plasma Physics, American Physical Society, Cincinnati, Ohio, 12-16 November 1990.
81. "Preliminary Description of Tokamak Operation Using Fiber Theory", contributed paper, 32nd. Annual Meeting of the Division of Plasma Physics, American Physical Society, Cincinnati, Ohio, 12-16 November 1990 (with R. Carrera).
82. "A Numerical Evaluation of the Spherical Pinch as a Possible Fusion Device", contributed paper, 32nd. Annual Meeting of the Division of Plasma Physics, American Physical Society, Cincinnati, Ohio, 12-16 November 1990 (presented by E. Panarella).
83. "Towards a New Theory of Plasmas", contributed talk, Winter Meeting of the American Physical Society, San Antonio, Texas, 21-24 January 1991.
84. "Force-Reduced Configurations in Superconducting Magnets", Magnet Division Seminar, Superconducting Super Collider, Dallas, Texas, 25 March 1991.
85. "Clifford Algebras and their Applications to Physics", Theoretical Physics Seminar, University of North Texas, Denton, Texas, 15 April 1991.
86. "A New Theory of Plasmas", Physics Colloquium, University of North Texas, Denton, Texas, 16 April 1991.
87. "Lorentz Force and Magnetic Stress in Force-Free Configurations", Colloquium, National Institute for Fusion Science, Nagoya University, Japan, 5 July 1991.
88. "Fiber Theory in Fusion Plasmas and Superconducting Magnets", Physics Colloquium, Nihon University, Tokyo, Japan, 22 July 1991.
89. "New Developments Towards Thermonuclear Fusion", Mathematics Colloquium, Southern Methodist University, Dallas, Texas, 16 October 1991.
90. "Electromagnetic Field Theory of Nonlinear Complex Systems", Applied Mathematics Seminar, Southern Methodist University, Dallas, Texas, 1 November 1991.
91. "Oscillation and Reconnection of Plasma Fibers in a Description of Tokamak Phenomena", contributed talk, 33rd. Annual Meeting, Division of Plasma Physics of the American Physical Society, Tampa, Florida, 8 November 1991 (presented by R. Carrera).
92. "Recent Developments Towards Thermonuclear Fusion", Nonlinear and Computational Physics Seminar, University of North Texas, Denton, Texas, 2 December 1991.
93. "Spin and the Fifth Dimension", Colloquium, Institute Henri Poincare, Paris, France, 7 January 1992.
94. "Fiber Theory for Tokamaks", Colloquium, FOM Institute for Plasma Physics, Nieuwegein, Holland, 16 January 1992.
95. "Solutions of the Equation B X CurlB = 0 and Force-Free Magnetic Fields", talk given at the Fifteenth Annual Texas Partial Differential Equations Conference, Denton, Texas, 7-8 March 1992.
96. "An Overview of the Fusion Program", Colloquium, Energy Systems Research Center, University of Texas at Arlington, 1 May 1992.
97. "The Development of the Fiber Theory of Plasmas", invited talk, Nineteenth IEEE International Conference on Plasma Science, Tampa, Florida, 1-3 June 1992.
98. "Current-Carrying Plasmas and the Magnetic Field Ambiguity in Classical MHD Theory", contributed talk, Nineteenth IEEE International Conference on Plasma Science, Tampa, Florida, 1-3 June 1992.
99. "Fiber Theory Applied to the Inductive Spherical Pinch", contributed talk, Nineteenth IEEE International Conference on Plasma Science, Tampa, Florida, 1-3 June 1992.
100. "Mathematical Structure of Magnetic Fields", Mathematics Seminar, University of Texas at Arlington, Arlington, Texas 17 July 1992.
101. "Mathematical Structure of Magnetic Fields", contributed talk, American Physical Society 34th Annual Meeting, Division of Plasma Physics, Seattle, Washington, 16 November 1992.
102. "Fiber Theory and the New Plasma Physics", Physics Colloquium, North Dakota State University, Fargo, North Dakota, 31 March 1993.
103. "Mathematical Structure of Magnetic Fields", Mathematics Colloquium, North Dakota State University, Fargo, North Dakota, 1 April 1993.
104. "Magnetic Confinement in a Tokamak", contributed talk, International Sherwood Fusion Theory Conference, Dallas, Texas, 14-16 March 1994.
105. "The Spherical Pinch Program", invited talk, International Symposium on Current Trends in Fusion Research, Washington, DC, 14-18 November 1994.
106. "General Background on the Progress of Fusion", presentation to the Science and Engineering Advisory Council, University of Texas at San Antonio, 19 June 1995.
107. "Architectural Laws Below the Level of Style and Materials", talk presented to Ford, Powell & Carson, Inc., San Antonio, Texas, 18 June 1996.
108. "The Life of a Carpet: An Application of the Alexander Rules", invited talk at the Eighth International Conference on Oriental Carpets, Philadelphia, Pennsylvania, 31 October - 4 November 1996.
109. "Geometry of the Spherical Pinch", invited paper at the Second Symposium on Current Trends in International Fusion Research, Washington DC, 10-14 March 1997.
110. "The Life of a Carpet: An Application of the Alexander Rules", invited talk to the Houston Oriental Rug Society, Houston, Texas, 20 March 1997.
111. "Life from Inanimate Matter: Applications to Architecture and Urban Design", talk given to the Sustainable Building Coalition, Austin, Texas, 17 September 1997.
112. "Life, Scale, and Architectural Complexity", colloquium, Center for American Architecture and Design, University of Texas at Austin, Austin, Texas, 10 October 1997.
113. "Quantitative Measures for Mandibular Extraction", presentation to the Division of Plastic Surgery, University of Texas Health Science Center at San Antonio, 21 November 1997.
114. "A Contour Analysis of Mandibular Extraction", talk given at the San Angeles Hospital, Mexico City by V. Zadoo on work done by N. A. Salingaros, J. R. Garza, and V. Zadoo, 12 December 1997.
115. "L-Complexity", Computer Science Colloquium, University of Texas at San Antonio, 24 April 1998.
116. "The Structure of Pattern Languages", talk given to U S West's Global Village Labs, Denver, Colorado, 5 August 1998.
117. "Modernism and the Suppression of Fractal Structures", Architecture Seminar, University of Texas at San Antonio, 17 November 1998.
118. "The Structure of Pattern Languages", talk given to the North Texas Patterns Group, Texas Instruments, Dallas, Texas 28 January 1999.
119. "Pattern Languages and Complexity", talk given at the Cajal Neuroscience Research Center, University of Texas at San Antonio, 29 January 1999.
120. "The Structure of Pattern Languages", Computer Science Seminar, University of Texas at San Antonio, 5 March 1999.
121. "Applications of Mathematics to Urban Morphology", seminar, LEMA -- Center for Architectural and Urban Design, University of Liege, Belgium, 31 May 1999.
122. "Mathematical Theory of the Urban Web", Colloquium, Faculty of Architecture, Delft University of Technology, Delft, Holland, 4 June 1999.
123. "The Application of Mathematics to Urban Morphology", seminar, Centre for Advanced Spatial Analysis, University of London, England, 10 June 1999.
124. "How the Pattern Language Defines a Geometry for Urban Interfaces", invited talk at the International Workshop on Design with the Community -- Progettare Con La Communita, University of Rome, 13 - 14 April 2000.
125. "Geometry of Cities", seminar at LEMA -- Center of Architectural and Urban Design, University of Liege, Belgium, 25 May 2000.
126. "On Patterns", seminar at Destiny Websolutions Inc., Conshohoken, Pennsylvania, 14 August 2000.
127. "Origins of Living Structure", Applicable Mathematics Seminar, University of Texas at San Antonio, 22 September 2000.
128. "Origins of Living Structure: A Model for Architectural Beauty", Colloquium, Center for the Study of Evolution and the Origin of Life, University of California at Los Angeles, 1 November 2000.
129. "Origins of Living Structure", seminar, School of Architecture, University of Texas at San Antonio, 15 November 2000.
130. "A City is Not a Tree", seminar at LEMA -- Center of Architectural and Urban Design, University of Liege, Belgium, 6 June 2001.
131. "Remarks on a City's Composition", Colloquium, Faculty of Architecture, Delft University of Technology, Delft, Holland, 19 June 2001.
132. "Complexity, Architecture, and Mathematics", talk at Saint Mary's Hall School, San Antonio, Texas, 8 November 2001.
133. "Pattern Language and the Nature of Order", Master's Course, University of Rome III, 3 April 2002.
134. "Two Languages for Architecture", Invited Talk at the International Seminar: Architecture, Community, and Participation, Rome, Italy, 4 April 2002.