Do Black Holes Really Exist?, Talk presented at El Tercer Congreso Nacional Universitario de Fisica, Universidad de Las Americas – Cholula, Puebla, February 20, 2009.
“Hybrid Matrix Geometric Algebra”, with G. Erlebacher, Proceedings of International Workshop on Geometric Invariance and Applications in Engineering (IWMM&GIAE), Beijing, China, (to appear).
2004
First Order Linear Ordinary Differential Equations in Associative Algebras, (with Gordon Erlebacher), Electronic Journal of Differential Equations, Vol. 2004(2004), No. 01, pp. 1-18.
Chapter 7: Software for Clifford (geometric) algebras, (with R. Ablamowicz), in Lecture on Clifford Geometric Algebras and Applications, Editor with Rafal Ablamowicz, International Conference on Clifford Algebras and their Applications in Mathematical Physics, Birkhauser 2004.
Relativity in Clifford’s Geometric Algebras of Space and Spacetime, W. E. Baylis, G. E. Sobczyk, International Journal of Theoretical Physics, Vol. 43, No. 10, Oct. 2004, pp1386-1399.
Clifford´s Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries, in Computacional Non-Commutative Algebras and Applications, Edited by Jim Byrnes, NATO Science Series, Kluwer Academic Publishers 2004.
“Quantum Hermite Interpolation Polynomials”, in PARAMATRIC OPTIMIZATION AND RELATED TOPICS VII, Edited by J. Guddat, H. Jongen, J. Ruckmann, M. Todorov, Aportaciones Matemáticas 18 Investigación, Sociedad Matemática Mexicana, 2004, pp. 105 – 112.
Lecture on Clifford Geometric Algebras and Applications, Editor with Rafal Ablamowicz, International Conference on Clifford Algebras and their Applications in Mathematical Physics, Birkhauser 2004.
Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries, NATO Advanced Studies Institute: Computational Non-Commutative Algebras and Applications (To Appear).
Edited Book (with Eduardo Bayro-Corrochano) Geometric Algebra with Applications in Science and Engineering, Birkhauser 2001.
Applications of Lie Algebras and the Algebra of Incidence, (with Eduardo Bayro - Corrochano), in Geometric Algebra with Applications in Science and Engineering, Chapter 13, pp. 252-277, Birkhauser 2001. (Investigación)
Realizations of the Conformal Group (with Jose Maria Pozo) in Geometric Algebra with Applications in Science and Engineering, Chapter 3, pp. 42-60, Birkhauser 2001. (Investigación)
Universal Geometric Algebra, in Geometric Algebra with Applications in Science and Engineering, Chapter 2, pp. 18-40, Birkhauser 2001. (Investigación)
1997
Spectral Integral Domain in the Classroom, Aportaciones matematicas, Serie Comunicaciones 20 (1997), 169-188.
A Unipodal Algebra Package for MATHEMATICA, Clifford Algebras with Numeric and Symbolic Computations, Edited by R. Ablamowicz and P. Lounesto, Birkhauser Pub., pp. 189-199, May 1996.
Book Review: Clifford Algebras and Spinor Structures: A Special Volume Dedicated to the Memory of Albert Crumeyrolle, Edited by Rafael Ablamowicz,Pertti Lounesto, Kluwer 194. Advances in Applied Clifford Algebras, Vol. 1, 1995.
1994
Generalized Finite Fourier Transforms, Proceedings, 14th IMACS World Congress on Computational and Applied Mathematics, Georgia Institute of Technology, July 1994.
Clifford Algebra Techniques in Linear Algebra, Collection of Papers Dedicated to the memory of Albert Crumeyrolle, Kluwer (1994).
Derivations of Endomorphisms, Proceedings, Differential Geometry Methods in Theoretical Physics, Ixtapa, 1993, Advances In Applied Clifford Algebras (1994).
Algebras (1994).
1991-1993
Jordan Form in Clifford Algebra, Clifford Algebras and their Applications in Mathematical Physics, Editors: F. Brackx et al. (Kluwer, Dordrecht, 1993) p.33-41.
Jordan Form in Associative Algebras, Spinors, Twistors, Clifford Algebras and Quantum Deformations, Editors: Z. Oziewicz et al. Kluwer, Dordrecht, 1993) p. 357-364.
With Marius Mitrea, Conference Report, Advances in Applied Clifford Algebras, 3, No. 1, 99-104, Mexico 1993.
Linear Transformations in Unitary Geometric Algebra, Foundations in Physics, Vol. 23, No. 10, 1375-1385, 1993.The Early Years, Foundations in Physics, 23, No. 10, 1291-1293, 1993.
With J. Cruz-Guzman, Remarks on Circulant Matrices and Polynomial Number Systems, Advances in Applied Clifford Algebras 2, No. 2, 205-214 (1992).
Noncommutative Extensions of Number: An Introduction to Clifford's Geometric Algebra, Aportaciones Matemáticas Comunicaciones 11, 207-218 (1992).
Program: Spinor Analysis of Space and Time, Universidad Nacional Autonoma de Mexico, Facultad de Estudios Superiores, Cuautitlan, VI Foro Interno de Investigacion, January 1992.
Report: Unipodal Algebra and Roots of Polynomials, with D. Hestenes and P. Reany, Advances in Applied Clifford Algebras, Vol. 1, No. 1, p.51-64, Dec. 1991.
Unipotents, Idempotents, and a Spinor Basis for Matrices, Advances in Applied Clifford Algebras, Vol. 2, No. 1, p.53-64, July 1992.
Geometry of Complex Vectors and Algebraic Roots, Differential Geometric Methods in Theoretical Physics, p.397-407, Edited by S. Catto, and A. Rocha, World Scientific Press, 1992.
Simplicial Calculus with Geometric Algebra, in Clifford Algebras and Their Applications in Mathematical Physics, Edited by A. Micali, R. Boudet, and J. Helmstetter, (Kluwer Academic Publishers, Dordrecht 1992). Clifford's Geometric Algebra and Hermitian Operators, p. 112 in 13th International Conference on General Relativity and Gravitation, Abstracts of Contributed Papers, Edited by Pedro W. Lamberti and Omar E. Ortiz, Cordoba, Argentina, 1992.
1980-1990
Graphing Rational Functions Without Plotting, Lander College Science Newsletter, No. 51, April 1990.
Killing Vectors and Embedding of Exact Solutions in General Relativity, in Clifford Algebras and their Applications in Mathematical Physics, Edited by S.R. J. Chisholm, Kluwer, 227-244 (1986).
Vector Calculus with Complex Variables, Lecture Notes, Spring Hill College, 1986 (First taught at Spring Hill College in Fall Semester 1984. Revised and taught as a two semester course in the Fall and Spring Semesters 1986-87.
CLIFFORD ALGEBRA TO GEOMETRIC CALCULUS: A Unified Language for Mathematics and Physics, coauthored with D. Hestenes, Reidel Publishing Co, 1984, (314 pages).
Clifford Analytical Techniques in Lie-Admissible Mechanics, (with K. Morawiecki), Proceedings of Conference on Non Potential Interactions, Orleans, France, 1982.
Plebanski Classification of the Tensor of Matter, Acta Physica Polonica, Vol. B11, No.6, 1981.
A Complex Gibbs-Heaviside Vector Algebra for Space-time, Acta Physica Polonica, Vol. B12, No.5, 407-418, 1981.
Algebraic Classification of Important Tensors in Physics, Physics Letters, 84A, 49-54, 1981. Spacetime Algebra Approach to Curvature, J. Mathematical Physics, Vol. 24, 1981.
Conjugations and Hermitian Operators in Spacetime, Acta Physica Polonica, Vol.B12, No.6, 509-521, 1981.
Before 1980
Computerized Pedigrees in Family Practice, Am J Human Genetics, Vol. 9-10, July 1976.
Geometric Structures, Polish Academy of Science, Warsaw 1974.
Dissertation: Mappings of Surfaces in Euclidean Space Using Geometric AlgebraThesis
Fixing Seismograms with Polynomials, Technical Reports No. 45, United Electro-Dynamics, Teledyne Inc., 1965.