Gregory Light

Dr. Gregory L. Light

Providence College

Finance

(401) 865-2662

Email: [email protected]

Education

ABD, Brown University, 1992.

Major: Applied Mathematics - - Dynamical Systems

M.A., University of Michigan, 1985.

Major: Mathematics

Ph.D., University of Michigan, 1981.

Major: Business Economics and Public Policy

Dissertation Title: Far Eastern Air Fares

M.B.A., University of Illinois, 1976.

Major: Quantitative Methods

B.A., National Taiwan University, 1972.

Major: Economics

Academic, Government, Military and Professional Positions

Academic

Professor, Providence College. (July 1, 2011 - Present).

Associate Professor, Providence College. (July 1, 1990 - June 30, 2011).

Assistant Professor, Providence College (1985-1990); University of Michigan, Dearborn (1982-1985). Assistant Professor: (1982 - 1990).
Teaching statistics, operations research, business micro/macro economics; corporate financial management.  Also, in the Chrysler Corporation (Professional Development Program of UM-Dearborn, 1982): Intermediate micro/macro economic analysis.

Instructor, University of Michigan, Dearborn. (1979 - 1982).
Undergraduate/graduate business micro/macro economics; corporate financial management

Professional Memberships

The American Mathematical Society.

Development Activities Attended

Workshop, "AOL Faculty Retreat," Providence College School of Business. (February 1, 2013).

Workshop, "AOL Faculty Retreat," Providence College School of Business. (December 10, 2012).

Workshop, "Virginia S. Lee & Associates, teaching, learning and assessment," Providence College School of Business, Providence, RI, USA. (January 13, 2010 - January 14, 2010).

Teaching

Teaching Experience

Providence College

MBA 690, Analytics in Operations Management, 1 course

MBA 687, Statistics for Business Analytics, 1 course

FIN 310,  Operations Management, 22 course

FIN 217,  Statistical Analy Bus Dec I, 36 courses.

MBA 515, Operations Research, 2 courses.

MBA 534, Intro to Statistical Concepts, 2 courses.

MBA 586, Research Methods, 1 course.

MGT 201, Statistical Analy Bus Dec I, 65 courses.

MTH 217, Introduction to Statistics, 2 courses.

Research

Published Intellectual Contributions

Refereed Journal Articles

Light, G. L. (2024) On Quantum Operators as Statistical Random Variables Defined on a Spinning Roulette, European Journal of Applied Physics, 6(4), https://doi.org/10.24018/ejphysics.2024.6.4.340

Light, G. L. (2023) A Cautionary Note on the Use of Linear Regression for Hypothesis Testing, European Journal of Mathematics and Statistics, 4(5), https://www.ej-math.org/index.php/ejmath/article/view/268

Light, G. L. (2023) An Introductory Note to Quantum Modeling in Finance, European Journal of Applied Physics, 5(5), https://ej-physics.org/index.php/ejphysics/article/view/280

Light, G. L. (2019). On the price vector fields of a differentiated oligopoly. International Journal of Applied Mathematics, 32(4), 579-585. www.diogenes.bg/ijam

Light, G. L. (2018). The vector fields across the tangent bundle to a spinning 2-sphere. International Journal of Applied Mathematics, 31(5), 585-594. http://www.diogenes.bg/ijam

Light, G. L. (in press). ON THE MEAN OF SAMPLE-STANDARD-DEVIATION. International Journal of Applied Mathematics, Forthcoming.

Light, G. L. (2017). On the Nonexistence of Units in Algebraic Symbols and the Consequent Identification of (dy/dx) with (dy/b)/(dx/a), as Illustrated by Economic Comparative Statics. International Journal of Applied Mathematics, 30(3), 7. www.diogenes.bg/ijam/

Light, G. L. (2016). A SIMPLE HEURISTIC NOTE ON RANDOM SLOPES AND INTERCEPTS COEXISTING IN REGRESSION. International Journal of Applied Mathematics, 29(3), 395-400. www.diogenes.bg/ijam

Light, G. L. (2016). A DERIVATION OF THE HIGGS MASS TO BE 123 GEV AND A NOTE ON THE WEINBERG ANGLE. International Journal of Applied Mathematics, 29(2), 209-217. www.diogenes.bg/ijam

Light, G. (2014). Quantitative comparative statics by relative derivatives on IS-LM with five production factors containing multiple energy sources. International Journal of Contemporary Mathematical Sciences, 9(7), 313-323. dx.doi.org/10.12988/ijcms.2014.4437

Light, G. (2014). A Note on the Fundamental Groups and Covers of Lattice Walk. Applied Mathematical Sciences, 8(14), 693 - 699. www.m-hikari.com/ams/ams-2014/ams-13-16-2014/lightAMS13-16-2014.pdf

Light, G. (2013). On Teaching the Undergraduate Statistics. International Mathematical Journal, 8(28), 1397 - 1403. dx.doi.org/10.12988/imf.2013.37143

Light, G. (2012). A Quantitative Comparative Static Analysis for the Global Economy. Global Studies Journal, The, 2012-13, 19-30. gsj.cgpublisher.com/

Light, G. (2011). A SIMPLE NOTE ON THE FUNDAMENTAL GROUPS OF THE EUCLIDEAN SPACES PUNCTURED BY FUNCTIONAL KERNELS. International Journal of Applied Mathematics, 24(5), 709-713.

Light, G. (2011). A Simple Economic Model about the Teamwork Pedagogy. Applied Mathematical Sciences, 6(1), 13 - 20. http://www.m-hikari.com/ams/forth/lightAMS1-4-2012.pdf

Getachew, T., Light, G. (2010). A Dual Characterization of Network Entanglement. International Journal of Applied Mathematics, 23(5), 7. www.diogenes.bg/ijam/

Light, G. (2010). Relative Derivatives for Quantitative Economic Comparative Statics and Dynamics, with a Pedagogical Demonstration. International Journal of Contemporary Mathematical Sciences, 5(48), 2369 – 2380.

Light, G., Newth, F. (2010). Global Dynamic Networks in Markov Chains - An Introductory Note. International Journal of Applied Mathematics, 23(1), 83-89.

Light, G. (2010). Regression, Model Misspecification and Causation, with Pedagogical Demonstration. Applied Mathematical Sciences, 4(5), 225 - 236.

Light, G. (2009). PROPORTIONALITIES IN REGRESSION, WITH PEDAGOGICAL ILLUSTRATION. International Journal of Applied Mathematics, 22(6), 961-968.

Light, G., Getachew, T. (2009). A DIMENSION REDUCTION OPERATOR FOR MANIFOLD-CONSTRAINED NETWORKS. International Journal of Applied Mathematics, 22(6), 997-1007.

Getachew, T., Light, G. (2009). A Dual Framework for Time-Variant Network Decision Problems. International Journal of Applied Mathematics, 22(3), 495-506.

Light, G. L. (2008). Einstein Field Equations Geometry for Electromagnetism and Gravity. International Journal of Applied Mathematics, 21(2), 289-313.

Light, G. L. (2008). Lorentz Transformation as a Matrix of Rank 4. International Journal of Applied Mathematics, 21(1), 139-145.

Light, G. L. (2008). Relative Derivative and Proportionality in Differential Geometry. International Journal of Contemporary Mathematical Sciences, 3(1), 1-16.

Light, G. (2008). General Relativity with Electromagnetism in the Role of Gravity. Advanced Studies in Theoretical Physics, 2(20), 1013-1024. www.m-hikari.com

Light, G. L. (2007). 'Combined Manifolds' and the Conjecture of a Dual Universe with Dark Matter. International Journal of Applied Mathematics, 20(3), 385-401.

Light, G. L. (2007). A Clear Logic of Einstein Field Equations. International Journal of Applied Mathematics, 20(6), 843-866.

Light, G. L. (2007). An Introduction of a Combined Space-Time Manifold. Applied Mathematical Sciences, 1(27), 1341-1346.

Light, G. L. (2007). An Introductory Note on 'Combined Manifolds'. International Journal of Applied Mathematics, 20(3), 377-383.

Light, G. L. (2007). Einstein Tensor in Management Science. International Journal of Pure and Applied Mathematics, 41(4), 471-479.

Light, G. L. (2007). Introduction to a Pair of Manifolds Charted on One Minkowski Domain. International Journal of Pure and Applied Mathematics, 35(3), 305-314.

Light, G. L. (2007). On a Combined 4-Manifold with Three Gravitational Constants. International Journal of Applied Science and Computations, 14(3), 137-142.

Light, G. L. (2007). Relative Derivatives and the Economic Science. International Journal of Pure and Applied Mathematics, 40(1), 33-48.

Light, G. (2006). An Introductory Note on Relative Derivative and Proportionality. International Journal of Contemporary Mathematical Sciences, 1(7), 327-332.

Light, G. (2006). Optimal Control Conditions as from One Lagrange's Function. International Journal of Applied Science and Computations, 13(1), 20-24.

Light, G. (2006). A Note on a Scale-Invariant Sensitivity Analysis of Matrices. International Journal of Applied Mathematics, 19(3), 283-291.

Light, G. (2006). Consecutive k-out-of-n: Duality and Algorithm. International Journal of Applied Science and Computations, 13(2), 37-54.

Light, G. (2006). A Simple Note about Matrices Symmetric in Signs. International Mathematical Journal, 1(18), 893-895.

Light, G. L. (2005). Proportional Sensitivity as Illustrated in a Lagrangian Control Problem. International Journal of Applied Mathematics, 17(3), 335-344.

Conference Proceedings

Light, G. L. (2019). Pauli matrices in 3-space. Denver, Colorado: American Physical Society. 56 Mount View Drive

Light, G. (2013). In Conference Reviewers Board (Ed.), On Teaching the Undergraduate Statistics (vol. 2013, pp. 1). Honolulu, Hawaii: Hawaii University International Conferences. www.huichawaii.org

Light, G. (2013). In Conference Reviewers Board (Ed.), A Note about Dynamical Systems in Different Frames of Reference (vol. 2013, pp. 5). Honolulu, Hawaii: Hawaii University International Conferences. www.huichawaii.org

Light, G. L. (2008). On Field Geometrization. International Conference of Applied Mathematics.

Light, G. (2007). 'Combined Manifolds' and Duality (pp. 158-161). International Congress on Pure and Applied Differential Geometry, International Congress on Pure and Applied Differe.

Light, G. (2007). 'Combined Manifolds' as Sets of Singletons with Dual Coordinates. International Conference of Applied Mathematics.

Light, G. L. (2007). Relative Derivatives, Manifolds, and Economic Transformation Processes. Hawaii International Conference on Statistics, Mathematics, and Related Fields.

Light, G. (2006). A Simplified Derivation of the Pontryagin's Maximum Principle, the Transversality Conditions, the Euler-Lagrange, and the Hamilton-Jacobi Equations. Hawaii International Conference on Statistics, Mathematics, and Related Fields, Hawaii International Conference on Statistics, Mat.

Light, G. (2006). On the Hyperbolicity of a Certain Class of Matrices. Hawaii International Conference on Statistics, Mathematics, and Related Fields, Hawaii International Conference on Statistics, Mat.

Light, G. (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, Hawaii International Conference on Statistics, Mat.

Light, G. (2004). A Comparison between the Standard Deviation and the Mean Absolute Deviation. Hawaii International Conference on Statistics, Mathematics, and Related Fields, Hawaii International Conference on Statistics, Mat.

Light, G. (2004). Taylor Polynomial, Implicit Function Theorem, and Perturbation Analysis in 'Relative Derivatives'. Hawaii International Conference on Statistics, Mathematics, and Related Fields, Hawaii International Conference on Statistics, Mat.

Light, G. (2003). Success Run and Geometric Distribution of Order k. Hawaii International Conference on Statistics, Mathematics, and Related Fields, Hawaii International Conference on Statistics, Mat.

Journal Articles

Light, G. L. (in press). Modeling Supply Chains by Critical Paths and Leontief Input-Output Table. 22(1). https://journalofscience.org/index.php/GJSFR

Light, G. (2021). A Note on Simulating Predecessor-Successor Relationships in Critical Path Models. 21(2), 6 pages. .

Light, G. (2021). A Note on Identifying Critical Activities in Project Scheduling via Linear Programming on Spreadsheets, with Incidental Pedagogical Remarks. 21(1), 5 pages. https://globaljournals.org/journals/science-frontier-research-journal

Light, G. L. (2020). A Regression Analysis on the COVID-19 Transmission. Global Journal of Science Frontier Research-F, 20(3), 1-6. https://globaljournals.org

Light, G. L. (2019). Gravity as the Sole Fundamental Force. Applied Physics Research, V11(3), 23-35. http://www.ccsenet.org/journal/index.php/apr

Light, G. L. (2019). Quantum Mechanics by General Relativity. Applied Physics Research, V11(2), 1-9. http://www.ccsenet.org/journal/index.php/apr

Conference presentation

Light, G. L. (2019). Quantum Mechanics by General Relativity. Quantum applications. Stockholm: World Quantum Physics Congress.

Presentations Given

Light, G. (Presenter Only), 2nd International Conference on MATHEMATICAL, COMPUTATIONAL and STATISTICAL SCIENCES (MCSS '14), "A Reduction of Dimensionalities in Quantum Information Systems through a Combined Spacetime Four-Manifold," World Scientific and Engineering Academy and Society (WSEAS), Gdansk, Poland. (May 15, 2014).

Light, G., 5th International Global Studies Conference, "A Quantitative Comparative Static Analysis for the Global Economy," Common Ground Publishing, Moscow, Russian Federation. (June 22, 2012).

Light, G. (Presenter Only), the Sixth International Conference "Transformation Methods & Special Functions (TMSF)", "Information transmission in a quotient space," Institute of Mathematics and Informatics,  Bulgarian Academy of Sciences, Sofia, Bulgaria. (October 22, 2011).

Light, G. L., "On Field Geometrization," International Conference of Applied Mathematics, Plovdiv, Bulgaria. (August 2008).

Light, G. L., "'Combined Manifolds' as Sets of Singletons with Dual Coordinates," International Conference of Applied Mathematics, Plovdiv, Bulgaria. (August 2007).

Light, G., "'Combined Manifolds' and Duality," International Congress on Pure and Applied Differential Geometry, Brussels, Belgium. (April 2007).

Light, G. L., "Relative Derivative and Proportionality in Differential Geometry," Third International Conference of Applied Mathematics, Plovdiv, Bulgaria. (August 2006).

Light, G. L., "A Practitioner's Note on a Unit-Free Matrix Perturbation Analysis," the 15th International Workshop on Matrices and Statistics, Uppsala, Sweden. (June 2006).

Light, G. L., "A Practitioner's Note on a Unit-Free Post-Optimality Analysis," SIAM Conference on Optimization, Stockholm, Sweden. (May 2005).

Light, G. L., "A Note on the Speed of Adjustment in Price Dynamics," Eastern Economic Association, New York, New York. (March 2005).

Light, G. L., "A Note on Optimization Analysis," Eastern Economic Association, Washington, D.C., District of Columbia. (February 2004).

Light, G. L., "Computing the Likelihood of Streakiness for a Binary Random Variable," Eastern Economic Association, New York, New York. (February 2003).

Light, G. L., "A Note on Comparative Static Analysis," Eastern Economic Association, Boston, Massachusetts. (March 2002).

Service

Department Service

Course Coordinator, FIN 310, Operations Management

Committee Member, PCSB Graduate Business Committee: (2006 - Present).

Committee Member, Departmental recruitment committee. (2005 - 2010).

Committee Member, Ad hoc committee on faculty development for PCSB. (2008).

Committee Member, Curriculum-Planning Task Force, Department of Management. (1989 - 2005).

Faculty Mentor, Department Chairperson. (2004).

College Service

Committee Member, School of Continuing Education (SCE). (2008 - 2009).

Committee Member, Quantitative Reasoning Subcommittee. (2006 - 2009).

Committee Member, Academic Affairs Committee II. (2005).

Other Institutional Service Activities, Faculty Senate Representative for the Department. (2005).

Committee Member, Financial Aid/Scholarships Committee. (1989 - 2000).

Professional Service

Conference-Related, International Conference of Applied Mathematics, Plovdiv, Bulgaria. (2008).

Editorial Review Board Member, Reviewer Board Membership. (2007 - 2008).

Public Service

Other Community Service Activities, The Multiple Sclerosis Society of Rhode Island. (1993).