Professional Organizations
- 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)
1996
- 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.
1995
- 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.
1990-1994
- 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.
1987-1989
- 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.
1984-1986
- 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.
Before 1983
- 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,
February 1980.
- Relativity Workshop, Liepzig, East Germany, April 1978.
- Winter School of Theoretical Physics, Karpacz, Poland, 1977.
- Differential Geometry Workshop, Karpacz, Poland, Summer 1973.