Elected Honorary Member of Mexican Chapter of Phi Kappa Delta,an International Honary Society, November 1996.
Member of Mexican Academy of Sciences, 1994 - present.
Member of The American Mathematical Society, 1994 - present.
Member of the Mexican Mathematical Society, 1994 - present.
Member of The Mexican Society of Physics, 1993-present.
Member of The Mathematical Association of America, 1970-1972, 1982-present.
Elected Member of the Polish Academy of Arts and Sciences of America, 1985-present.
Member of the International Society on General Relativity and Gravitation, 1992-1993.
Member of the Mexican Society of Philosophy, and History and Mathematics, 1992-1993.
Member Kosciuszko Foundation for Polish American Culture, New York City, 1990-present.
Other Professional Accomplishments (Selected)
Outside Evaluator of Ph.D. Thesis: “An Interpolation of Relativistic Spin Entanglement Using Geometric Algebra”, by Crystal-Ann McKenzie, University of Windsor, Windsor, Canada, July 2015.
Idempotents, Nilpotents and the Euclidean Algorithm, Invited speaker, Conference On Mordern Algebra and Applications, Nashville, May 1996
1. Primary Decomposition of a Linear Operator. 2. Bivectors of Linea Operators. Invited Speaker, XXIX Congreso Nacional de La Sociedad Matematica Mexicana, San Luis Potosi, October 1996.
The Petrov and Plebanski Classification of the Tensor of Matter, Invited
Speaker, Instituto de Ciencias Nucleares, UNAM, October 1996.
Research Seminar: Clifford Analysis, Conducted at the Universidad de las Americas - Puebla, Fall Semester 1996. (Lecturer and Participant)
Teaching Seminar: Teaching Calculus and Calculus Reform, Conducted at the Universidad de las Americas - Puebla, Fall Semester 1996. (Lecturer and Participant)
Mathematics Olympics: Tutored High School Students in preparation for the National Mathematics Olympics Exam.
Design of a Mathematics Laboratory at the Universidad de las Americas- Puebla. Special Topic: The Use of MATEMATICA in Teaching Linear Algebra and Calculus.
Referee for the International Journals: 1. Foundations of Physics, Editor - Alwyn van der Merwe. 2. Acta Applicandae Mathematicae, Editor - M. Hazewinkel.
International Board Member, ADVANCES IN APPLIED CLIFFORD ALGEBRAS, D.F. Mexico.
Referee for the International Journals: 1. Foundations of Physics, Editor - Alwyn van der Merwe. 2. Advances In Applied Cliffords Algebras, Editor - Jaime Keller.
Representation theory in Clifford Analysis, Invited speaker, Complex Analysis, Computations and Applications Conference, Institute of Control Sciences, Moscow, May 1995.
Universal Geometric Algebra, Invited speaker, Advanced Mathematics, Computations and Applications, Novosibirsk, Russia, June 1995.
Banff Clifford Algebra Lecture Series, Principal speaker, Geometric (Clifford) Algebras in Physics, July 30-August 12, 1995, Banff, Canada.
Graded Algebras of Endomorphisms, Invited speaker, Joint Meeting of American Mathematical and Mexican Mathematical Societies, Guanajuato, Mexico, December 1995.
The Clifford Algebra and Matrix Algebra Connection, Presented at the Mexican Mathematical Society, Queretaro, October 1994.
Graded Linear Algebra, Presented at the Fourth Conference of the International Linear Algebra Society, Roterdam, August 1994.
Generalized Finite Fourier Transforms, Presented at the 14th IMACS World Congress on Computational and Applied Mathematics, Georgia Institute of Technology, July 1994.
Associate Editor and Referee (11 articles) for International Journal, ADVANCES IN APPLIED CLIFFORD ALGEBRAS, Published by the Universidad Nacional Autonoma de Mexico.
Invited Contributing Editor and Referee of Special Edition of Foundations in Physics, Vol. 23, No. 10, October 1993.
Organizing Committee, International Summer School in Clifford Algebra, Banff, CANADA, 1995.
Local Organizing Committee, XXIII Differential Geometry Methods in Theoretical Physics, (to be held in Ixtapa, Mexico, Sept. 1993).
Invited Speaker with J.M. Torres Merino, Active Lorentz Transformations XXXVI CONGRESO NACIONAL DE FISICA, Acapulco, October 1993.
Invited Speaker (Jordan Form in Associative Algebras), IIIrd International Clifford Algebra Workshop, Deintz, Belgium, May 3-7, 1993.
Invited Speaker with Jesus Cruz Guzman, Metodo para el calculo de propieda des espectrales de funciones matriciales para modelos de degradacion de imagenes, OCTAVA CONFERENCIA INTERNACIONAL: Las Computadoras en Las Instituciones de Educacion y de Investigacion, Mexico, D.F., November 1992.
Special Seminar Series (5 lectures) on Geometric Algebra: A Unified Language for Mathematics and Physics, Department of Applied Mathematics and Theoretical Physics and Cavendish Laboratory, Cambrige University, Cambridge, U.K., October 7-21, 1992.
Extended Functions in Geometric Algebra, delivered at the Second Max Born Symposium on Spinors, Twistors and Clifford Algebras, Wojnowice Castle Wroclaw, Poland, September 1992.
The Pauli Algebra and Special Relativity, delivered at the Institute of Theoretical Physics, University of Wroclaw, Poland, October 1992.
Polynomial Number Systems, delivered at the Mathematics Institute of the Polish Academy of Science, Warsaw, October 1992.
Classification of Important Tensors in Physics, delivered at the Department of Applied Mathematics and Physics of the University of Warsaw, November 1992.
Clifford's Geometric Algebra, delivered at the Department of Mathematics of the University of Vilnius, Lithuania, October 1992.
Invited Speaker with J.M. Torres Merino, Ecuacines Basicas de la Fisica en el Algebra de Clifford, XXXV CONGRESO NACIONAL DE FISICA, Puebla, October 1992.
The Eigenprojector Problem: Oversight of the Century?, delivered at the Institute of Mathematics in Guanajuato (July 1992), and at Centro de Investigacion y de Estudios Avanzados del I. P. N. in Mexico City, August 1992.
Invited Speaker, 13th International Conference on General Relativity and Gravitation, Cordoba, Argentina, June 1992.
Invited Speaker: Noncommutative Extensions of Number, Mexican Mathematical Society, Oaxtepec, Morelos, November 1991.
Invited Speaker, Applications of Geometry to Quantum Fields, Mexican Mathematical Society, Guanajuato, December 1991.
Referee for the BOLETIN de la SOCIEDAD MATEMATICA MEXICANA, Published by the Sociedad Matematica Mexicana.
Clifford Analysis, Invited Series of Seminars given at Polytechnico University, Mexico City D.F., March and April 1992.
Geometry of Complex Vectors and Algebraic Roots, presented at the XX International Conference on Differential Geometric Methods in Theoretical Physics, New York City, June 1991.
Co-organizer of the Sobczyk Memorial Fund and Lecture Series in honor of my father, Professor Andrew Sobczyk, Clemson University, April 1983-present.
Algebraic Roots of the Classical Cubic and Quartic Equations, Invited Seminar, University of Scranton, May 1991.
Invited guest lecturer at the Institute of Theoretical Physics, University of Wroclaw, July 1991.
Complex Vectors and Clifford Algebra Calculations on a Microcomputer, Invited Seminar, University of South Carolina, April 1991.
Geometric Concept of Number, Invited Seminar, University of Scranton, November 1990.
Director, Lander College 13th Annual Science Olympiad (1990). The purpose of this annual event is to promote interest in Science in Upstate South Carolina High Schools.
Simplicial Calculus with Geometric Algebra, presented at the Second International Clifford Algebra Workshop, Montpellier, France, September 1989.
Orbits of the Mandelbrot Set, presented at the joint A.M.S./M.A.A. meeting, Phoenix, Arizona, January 1988.
Geometric Algebra and the Teaching of Calculus, A three part Lecture Series delivered at Gannon University, Erie, PA, 16541, June 6-9, 1988.
Referee for the journal, FOUNDATIONS OF PHYSICS, Alwyn van der Merwe, editor.
Classical Integration Theorems Revisited, presented at the Alabama Academy of Science, March 1987.
Invited Principal Speaker at the First International Clifford Algebra Workshop, Canterbury, England, September 1985.
Geometric Interpretation of Superluminal Transformations Using Biquaternions, Alabama Academy of Science, Vol.57, No.3, 1986.
Faculty Research Grant, Spring Hill College, 1985.
Correlated Linear and Antilinear Mappings in Complex 3-Space, Alabama Academy of Science, Vol.55, No.3, July 1984.
Algebraic Classification of Important Tensors in Physics, Alabama Academy of Science, March 1984.
Presented Lecture Series on Clifford Algebra at the Institute of Theoretical Physics, University of Geneve, Geneve, 1983.
Presented Lecture Series on Clifford Algebra at the Institute of Mathematics, Helsinki University of Technology, February 1983. Annual Report MAT-B12, Helsinki University of Technology, 1983.
Winter School of Theoretical Physics, Karpacz, Poland, Winter 1981.
Mathematics Summer School of the University of Tasmania, Hobart, Tasmania,
Relativity Workshop, Liepzig, East Germany, April 1978.
Winter School of Theoretical Physics, Karpacz, Poland, 1977.
Differential Geometry Workshop, Karpacz, Poland, Summer 1973.