Paul C. Kainen                             202-687-2703 (w)
Department of Mathematics                      965-2551 (h) 
Georgetown University                          687-6067 (fax)  
Washington, DC 20057                       kainen@math.georgetown.edu

http://www.georgetown.edu/faculty/kainen/

Paul C. Kainen

Adjunct Associate Professor of Mathematics, Georgetown University.

I am seeking a challenging project in mathematics and its applications, which is appropriate . My professional experience includes mathematics, science and engineering. In particular, when it comes to computers, I am experienced .

Graph theory, neural networks, computational heuristics, optimal deployment

Lasers, sensors, image analysis, artificial intelligence, cognition

Visual display, eye movements, quantum computing, theoretical biology

Employment history:

• Teaching and research, Dept. of Math., Georgetown University, 1995-present
  • Giving upper-level courses in topology, neural networks and graph theory
  • Student projects on applications of interval graphs to bioinformatics and feedforward nets to currency trading
  • Developed cooperative research projects with Czech Academy of Sciences and the University of Genoa
• Consulting in mathematics and technology (1988-1995), Washington, DC
  • Telecommunications (market research)
  • Internet strategy (for businesses, agencies and individuals)
  • Scientific education (multimedia, optical computing, fuzzy logic)
• Member of Technical Staff (1983-1988), The Analytic Sciences Corp., McLean, VA
  • Object-oriented software, neural networks (tutorial seminars)
  • Computer-aided drafting facility (designed, assembled and automated)
  • Reliability and availability analysis for digital cartographic factory
• President (1980-83), Laser Arts, New York, NY
  • Laser special effects for movies, television commercials and entertainment
  • Cable-TV proposal involving use of infrared transmission
• Member of Technical Staff (1977-81), Bell Telephone Laboratories, Holmdel, NJ
  • Human-computer interaction studies (they sent me to international meetings)
  • Heuristics for network design (improved logistics for equipment deployment)
• Asst. (1970-75), Assoc. (75-77) Professor, Case Western Reserve Univ., Cleveland, OH
  • Research papers in topological graph theory; well-known in several fields
  • Computer-to-film system for visualizing traffic flow simulation (SIAM News)
  • Used software to test mathematical theory; co-author of book on topic
  • Consulted for Sudan, the Wharton School and the Club of Rome
• Ph.D. in Algebraic Topology (1970), Cornell University, Ithaca, NY

I am generally interested in the problems of computing, both theoretical and practical. As of Dec. 2000, I had 94 citations in the MathSciNet database; citations in the last two years have included my work on neural networks, on graph theory and my Ph.D. thesis in algebraic topology. My work is cited in the Internet Math FAQ document. I have an Erdos number of one. References to some of my graph theory work have appeared in the general Citations Index for Science and Engineering because my results have been applied in electronics and chip design. My book, ``The Four-Color Problem'', was reprinted by Dover Publications in 1986 and remains in print. I am a member of two professional organizations: The Society for Industrial and Applied Mathematics (SIAM) and the International Neural Networks Society (INNS). I also belong to two Washington-area interdisciplinary groups, one focusing on evolutionary systems and the other on the interplay between psychiatry and the humanities.

This summer I was an invited speaker at research conferences in six different countries; my paper, ``On a Graph-Theoretic Model for Time'', won a prize. During the last year, I have had five different publications on the theory of neural networks in mathematical and scientific journals. Currently, I am working with colleagues, here and in Europe, on the use of physical fields to implement neural networks. I am also pursuing an application of graph theory to algebra with some counter-intuitive implications for complexity. I am giving a module on mathematical models for psychophysics as part of the Interdisciplinary Program in Cognitive Science and I am an invited speaker at the conference ICANNGA 2001 in Prague.

Paul C. Kainen                             202-687-2703 (w)
Department of Mathematics                      965-2551 (h) 
Georgetown University                          687-6067 (fax)  
Washington, DC 20057                       kainen@math.georgetown.edu