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Gregory L. Light, Ph.D.

Position
Academic Background
Sample Courses   
Teaching Philosophy

Research & Interests    
Notable Academic Appointments & Awards

Publication Highlights     
            Selected Scholarly Presentations
              

                                                                     View Other Faculty Profiles


Position

  • Associate Professor of Management


Academic Background        

  • Brown University, advanced study, Applied Mathematics-Dynamical Systems, part-time, Ph.D. candidacy attained, 1993
  •  University of Michigan
    • Ph.D. in Business Economics and Public Policy, 1981
    • M.A., Mathematics, 1985 
  • University of Illinois, M.B.A. in Quantitative Methods, 1976
  • Taiwan University, B.A. in Economics, 1972

Sample Courses Taught at Providence College

  • Operations Research
  • Statistical Analysis for Business Decisions I
  • Internships
  • Managerial Finance I
  • Introduction to Statistics


Teaching Philosophy

I stress logical reasoning to advance students' abilities of processing information; I emphasize analytical rigor and disciplined thinking to prepare students for life-long learning, and "there is nothing more practical than a good theory."  


Research & Interests

Mathematical optimization is my main interest of study for its all-encompassing nature, from cost minimization in an organization to minimal total scalar curvature of a manifold in differential geometry.


Notable Academic Appointments and Awards

Providence College:

  • Core Curriculum Review Subcommittee on Quantitative Reasoning: member, 2006-present
  • AACSB MBA Task Force Committee: member, 2006-present
  • Faculty Departmental Senator and Academic Affairs Committee II: member, 2005-2006
  • Department of Management Interim Chair, Fall 2004
  • Financial Aid/Scholarships Committee, 1989-2001

Publication Highlights

  • "An Introduction of a Combined Space-Time Manifold," Applied Mathematical Sciences, Vol. 1, no. 27, 1341-1346, 2007 (public accessible at http://www.m-hikari.com/ams/ams-password-2007/ams-password25-28-2007/lightAMS25-28-2007.pdf )
  • "Introduction to a Pair of Manifolds Charted on One Minkowski Domain," the International Journal of Pure and Applied Mathematics, V35, No. 3, 305-314, 2007
  • "A Note on a Scale-Invariant Sensitivity Analysis of Matrices," the International Journal of Applied Mathematics, V19, No. 3, 283-291, 2006
  • "Consecutive k-out-of-n: Duality and Algorithms," the International Journal of Applied Science and Computations, V13, No. 2, 37-54, 2006
  • "An Introductory Note on Relative Derivative and Proportionality," the International Journal of Contemporary Mathematical Sciences , V1, No. 7, 327-332, 2006
    (public accessible at
    http://www.m-hikari.com/ijcms-password/ijcms-password5-8-2006/LightIJCMS5-8-2006.pdf )
  • "A Simple Note about Matrices Symmetric in Signs," the International Mathematical Forum , V1, No. 18, 893-895, 2006 (public accessible at http://www.m-hikari.com/imf-password/17-20-2006/lightIMF17-20-2006.pdf)
  • "Optimal Control Conditions as from One Lagrange's Function," the International Journal of Applied Science and Computations , V13, No. 1, 20-24, 2006
  • "Proportional Sensitivity as Illustrated in a Lagrangian Control Problem," the International Journal of Applied Mathematics, V17, No. 3, 335-344, 2005

Selected Scholarly Presentations and Activities

  • "'Combined Manifolds' and Duality," the International Congress on Pure and Applied Differential Geometry (PADGE 2007), Brussels, Belgium, April 10-13, 2007
  • "Relative Derivative and Proportionality in Differential Geometry," invited talk at the Third International Conference of Applied Mathematics, Plovdiv, Bulgaria, August 12-18, 2006
  • "A Practitioner's Note on a Unit-Free Matrix Perturbation Analysis," the 15th International Workshop on Matrices and Statistics, Uppsala, Sweden, June 13-17, 2006
  • "A Practitioner's Note on a Unit-Free Post-Optimality Analysis," the 8th SIAM Conference on Optimization, Stockholm, Sweden, May 15 -19, 2005
  • "A Note on Attaining the Markov and Chebyshev Bounds and the Effected Ratios of the Mean Absolute Deviation to the Standard Deviation," Hawaii International Conference on Statistics, Mathematics, and Related Fields, Honolulu, Hawaii, January 9-11, 2005 (accessible on-line)
  •  "A Note on the Speed of Adjustment in Price Dynamics," Eastern Economic Association Annual Conference, New York, New York, March 4-6, 2005


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